CURRICULUM VITAE

NAME:  Bradley John Roth 

DATE: September 15, 2024 

PRESENT POSITION:  Emeritus Professor of Physics, Oakland University

ADDRESS:  Department of Physics, Oakland University, Rochester, MI, 48309-4487. E-mail: roth@oakland.edu. 

EDUCATION: 

• Vanderbilt University, Nashville, TN; Physics M.S., 1985; Ph. D., 1987 

•  University of Kansas, Lawrence, KS; Physics B.S., 1982. 

•  Shawnee Mission South High School, Overland Park, KS, 1978 

APPOINTMENTS: 

• Emeritus Professor, 2020-present

• Professor, Department of Physics, Oakland University, 2008-2020

• Interim Vice Provost for Research, Oakland University, 2010-2011

• Director, Center for Biomedical Research, Oakland University, 2008-2020

• Associate Professor, Department of Physics, Oakland University, 1998-2008

• Robert T. Lagemann Assistant Professor of Living State Physics, Department of Physics and Astronomy, Vanderbilt University, 1995-1998 

• Senior Staff Fellow, Mechanical Engineering Section, Biomedical Engineering and Instrumentation Program, National Institutes of Health, 1991-1995 

• Staff Fellow, Mechanical Engineering Section, Biomedical Engineering and Instrumentation Program, National Institutes of Health, 1988-1991 

• Research Associate, Living State Physics Group, Department of Physics and Astronomy, Vanderbilt University, 1987-1988 

• Research Assistant, Living State Physics Group, Department of Physics and Astronomy, Vanderbilt University, 1982-1987 

HONORS: 

• Summerfield Scholar (Kansas Univ.) 

• Stranathan Award, 1982 (Kansas Univ.)

• Fellow, American Physical Society (2006)

FELLOWSHIPS: 

• National Science Foundation Graduate Fellowship, Vanderbilt Univ. (1982-1985) 

• University Graduate Fellowship, Vanderbilt Univ. (1985-1986) 

• American Heart Association-Tennessee Affiliate Research Fellow (1987-1988) 

• American Heart Association-Tennessee Affiliate Research Investigator (1996-1998) 

RESEARCH SUPPORT: 

• The Whitaker Foundation, Biomedical Engineering Research Grant; "Application of the Bidomain Model to Problems in Cardiac Electrophysiology"; $139,266; 4-1-96 to 3-31-99. 

• American Heart Association, Tennessee Affiliate, New Investigator Award; "The Response of Cardiac Tissue to Electrical Stimulation"; $98,750; 7-1-96 to 6-31-98. 

• National Institutes of Health, R29 (FIRST award); “Numerical Simulation of Cardiac Electrophysiology”; $242,528; 9-1-97 to 8-31-01.

• American Heart Association, Midwest Affiliate, Grant-in-Aid; "Electrical Stimulation of Cardiac Tissue:' $110,000; 7-1-01 to 6-30-03. 

• National Institutes of Health, R01 (renewal); “Numerical Simulation of Cardiac Electrophysiology”; $284,000; 9-1-02 to 8-31-06. 

• American Heart Association, Midwest Affiliate, Grant-in-Aid; "Numerical Simulation of Low Energy Defibrillation," $132,000; 7-1-04 to 6-30-06.

• National Institutes of Health, R01; "Magneto-Acoustic Effects in Imaging"; $390,152; 7-1-2008 to 6-30-12.

• National Institutes of Health, R01; "Magneto-Acoustic Effects in Imaging" (Supplement); $15,700; 7-1-2008 to 8-31-10.

• National Institutes of Health, R01; "Magneto-Acoustic Effects in Imaging" (Supplement); $154,277; 7-1-2008 to 7-31-11.

• National Institutes of Health, P30; "Core Center for Quantitative Biology"; $722,226; 9-30-2009 to 8-31-12.

• National Science Foundation, MRI; “MRI: Acquisition of a Computer Cluster for Multidisciplinary Physics Research”; $100,000; 9-15-09 to 8-31-10.

• National Science Foundation, (coPI) “Partnership for Adaptation, Implementation, and Dissemination (PAID): Women in Science and Engineering at Oakland University (WISE@OU)”; $518,894; 9-1-11 to 8-31-15.

• National Institutes of Health, R01, “Optimal design of challenge-response experiments in cardiac electrophysiology”; $314,748 (subcontract to Oakland University); 9-1-13 to 7-31-17; senior investigator in charge of OU subcontract.

BIBLIOGRAPHY: 

Books

1.  Hobbie, R. K. and B. J. Roth, 2007, Intermediate Physics for Medicine and Biology, 4th Edition.  New York, Springer-Verlag.  (Book website https://sites.google.com/view/hobbieroth, also see the book blog hobbieroth.blogspot.com, and book Facebook group) 

2.  Hobbie, R. K. and B. J. Roth, 2015, Intermediate Physics for Medicine and Biology, 5th Edition.  New York, Springer-Verlag.  (Book website https://sites.google.com/view/hobbieroth, also see the book blog hobbieroth.blogspot.com, and book Facebook group)

3. Roth, B. J., 2022, Are Electromagnetic Fields Making Me Ill? How Electricity and Magnetism Affect Our Health. Cham, Switzerland, Springer.

Published Papers 

1. Barach, J. P., B. J. Roth and J. P. Wikswo, Jr., 1985, Magnetic measurements of action currents in a single nerve axon: A core-conductor model. IEEE Trans. Biomed. Eng., 32:136-140. 

2. Roth, B. J. and J. P. Wikswo, Jr., 1985, The magnetic field of a single axon: A comparison of theory and experiment. Biophys. J., 48:93-109. 

3. Woosley, J. K., B. J. Roth and J. P. Wikswo, Jr., 1985, The magnetic field of a single axon: A volume conductor model. Math. Biosci., 76:1-36. 

4. Roth, B. J. and J. P. Wikswo, Jr., 1985, The electrical potential and the magnetic field of an axon in a nerve bundle. Math. Biosci., 76:37-57. 

5. Gielen, F. L. H., B. J. Roth and J. P. Wikswo, Jr., 1986, Capabilities of a toroid-amplifier system for magnetic measurement of current in biological tissue. IEEE Trans. Biomed. Eng., 33:910-921. 

6. Roth, B. J. and J. P. Wikswo, Jr., 1986, Electrically silent magnetic fields. Biophys. J., 50:739-745. 

7. Roth, B. J. and J. P. Wikswo, Jr., 1986, A bidomain model for the extracellular potential and magnetic field of cardiac tissue. IEEE Trans. Biomed. Eng., 33:467-469. 

8. Roth, B. J. and F. L. H. Gielen, 1987, A comparison of two models for calculating the electrical potential in skeletal muscle. Annals Biomed. Eng., 15:591-602. 

9. Wikswo, J. P., Jr. and B. J. Roth, 1988, Magnetic determination of the spatial extent of a single cortical current source: A theoretical analysis. Electroenceph. clin. Neurophysiol., 69:266-276. 

10. Roth, B. J., F. L. H. Gielen and J. P. Wikswo, Jr., 1988, Spatial and temporal frequency-dependent conductivities in volume-conduction for skeletal muscle. Math. Biosci., 88:159-189. 

11. Roth, B. J., W.-Q. Guo and J. P. Wikswo, Jr., 1988, The effects of spiral anisotropy on the electric potential and the magnetic field at the apex of the heart. Math. Biosci., 88:191-221. 

12. Roth, B. J., 1988, The electrical potential produced by a strand of cardiac muscle: A bidomain analysis. Annals Biomed. Eng., 16:609-637. 

13. Roth, B. J., N. G. Sepulveda and J. P. Wikswo, Jr., 1989, Using a magnetometer to image a two-dimensional current distribution. J. Appl. Phys., 65:361-372.

14. Sepulveda, N. G., B. J. Roth and J. P. Wikswo, Jr., 1989, Current injection into a two-dimensional anisotropic bidomain. Biophys. J., 55:987-999. 

15. Roth, B. J., 1989, Interpretation of skeletal muscle four-electrode impedance measurements using spatial and temporal frequency-dependent conductivities. Med. & Biol. Eng. & Comput., 27:491-495. 

16. Roth, B. J. and P. J. Basser, 1990, A model of the stimulation of a nerve fiber by electromagnetic induction. IEEE Trans. Biomed. Eng., 37:588-597. 

17. Cohen, L. G., B. J. Roth, J. Nilsson, N. Dang, M. Panizza, S. Bandinelli, W. Friauf and M. Hallett, 1990, Effects of coil design on delivery of focal magnetic stimulation: I. Technical considerations. Electroenceph. clin. Neurophysiol., 75:350-357. 

18. Tan, S., B. J. Roth and J. P. Wikswo, Jr., 1990, The magnetic field of cortical current sources: The application of a spatial filtering model to the forward and inverse problems. Electroenceph. clin. Neurophysiol., 76:73-85. 

19. Roth, B. J., L. G. Cohen, M. Hallett, W. Friauf and P. J. Basser, 1990, A theoretical calculation of the electric field induced by magnetic stimulation of a peripheral nerve. Muscle & Nerve, 13:734-741. 

20. Roth, B. J., J. M. Saypol, L. G. Cohen and M. Hallett, 1991, A theoretical calculation of the electric field induced in the cortex during magnetic stimulation. Electroenceph. clin. Neurophysiol., 81:47-56. 

21. Roth, B. J. and J. P. Wikswo, Jr., 1990, Apodized pickup coils for improved spatial resolution of SQUID magnetometers. Rev. Sci. Instrum., 61:2439-2448. 

22. Basser, P. J. and B. J. Roth, 1991, Stimulation of a myelinated nerve axon by electromagnetic induction. Med. & Biol. Eng. & Comput., 29:261-268. 

23. Roth, B. J., 1991, Action potential propagation in a thick strand of cardiac muscle. Circ. Res., 68:162-173. 

24. Saypol, J. M., B. J. Roth, L. G. Cohen and M. Hallett, 1991, A theoretical comparison of electric and magnetic stimulation of the brain. Annals Biomed. Eng., 19:317-328. 

25. Fuhr, P., L. G. Cohen, B. J. Roth and M. Hallett, 1991, Latency of motor evoked potentials to focal transcranial stimulation varies as a function of scalp positions stimulated. Electroenceph. clin. Neurophsyiol., 81:81-89. 

26. Roth, B. J., 1991, A comparison of two boundary conditions used with the bidomain model of cardiac tissue. Annals Biomed. Eng., 19:669-678. 

27. Roth, B. J. and K. W. Altman, 1992, Steady-state point-source stimulation of a nerve containing axons with an arbitrary distribution of diameters. Med. & Biol. Eng. & Comput., 30:103-108. 

28. Panizza, M., J. Nilsson, B. J. Roth, P. J. Basser and M. Hallett, 1992, Relevance of stimulus duration for activation of motor and sensory fibers: Implications for the study of H-reflexes and magnetic stimulation. Electroenceph. clin. Neurophysiol., 85:22-29. 

29. Roth, B. J., 1992, How the anisotropy of the intracellular and extracellular conductivities influences stimulation of cardiac muscle. J. Math. Biol., 30:633-646. 

30. Roth, B. J., A. Pascual-Leone, L. G. Cohen and M. Hallett, 1992, The heating of metal electrodes during rapid-rate magnetic stimulation: A possible safety hazard. Electroenceph. clin. Neurophysiol., 85:116-123. 

31. Brasil-Neto, J. P., L. G. Cohen, M. Panizza, J. Nilsson, B. J. Roth and M. Hallett, 1992, Optimal focal transcranial magnetic activation of the human motor cortex: Effects of coil orientation, shape of the induced current pulse, and stimulus intensity. J. clin. Neurophysiol., 9:132-136. 

32. Nilsson, J., M. Panizza, B. J. Roth, P. J. Basser, L. G. Cohen, G. Caruso and M. Hallett, 1992, Determining the site of stimulation during magnetic stimulation of a peripheral nerve. Electroenceph. clin. Neurophysiol., 85:253-264. 

33. Basser, P. J., R. S. Wijesinghe and B. J. Roth, 1992, The activating function for magnetic stimulation from a three-dimensional volume conductor model. IEEE Trans. Biomed. Eng., 39:1207-1210. 

34. Saypol, J. M. and B. J. Roth, 1992, A mechanism for anisotropic reentry in electrically active tissue. J. Cardiovasc. Electrophysiol., 3:558-566. 

35. Roth, B. J., M. Balish, A. Gorbach and S. Sato, 1993, How well does the three-spheres model predict dipoles in a realistically-shaped head? Electroenceph. clin. Neurophysiol., 87:175-184. 

36. Toro, C., J. Matsumoto, G. Deuschl, B. J. Roth and M. Hallett, 1993, Source analysis of scalp-recorded movement-related electrical potentials. Electroenceph. clin. Neurophysiol., 86:167-175. 

37. Trayanova, N., B. J. Roth and L. J. Malden, 1993, The response of a spherical heart to a uniform electric field: A bidomain analysis of cardiac stimulation. IEEE Trans. Biomed. Eng., 40:899-908. 

38. Roth, B. J., S. Momen and R. Turner, 1994, An algorithm for the design of magnetic stimulation coils. Med. & Biol. Eng. & Comput., 32:214-216. 

39. Roth, B. J., P. J. Maccabee, L. Eberle, V. E. Amassian, M. Hallett, J. Cadwell, G. D. Anselmi and G. T. Tatarian, 1994, In-vitro evaluation of a four-leaf coil design for magnetic stimulation of peripheral nerve. Electroenceph. clin. Neurophysiol., 93:68-74. 

40. Kraus, K. H., L. D. Gugino, W. J. Levy, J. Cadwell and B. J. Roth, 1993, The use of a cap-shaped coil for transcranial magnetic stimulation of the motor cortex. J. Clin. Neurophysiol., 10:353-362. 

41. Roth, B. J. and J. P. Wikswo, Jr., 1994, Electrical stimulation of cardiac tissue: A bidomain model with active membrane properties. IEEE Trans. Biomed. Eng., 41:232-240. 

42. Roth, B. J., P. J. Basser and J. P. Wikswo, Jr., 1994, A theoretical model of magneto-acoustic imaging of bioelectric currents. IEEE Trans. Biomed. Eng., 41:723-728. 

43. Panizza, M., J. Nilsson, B. J. Roth, J. Rothwell and M. Hallett, 1994, The time constants of motor and sensory peripheral nerve fibers measured with the method of latent addition. Electroenceph. clin. Neurophysiol., 93:147-154. 

44. Roth, B. J., S. V. Yagodin, L. Holtzclaw and J. T. Russell, 1995, A mathematical model of agonist-induced propagation of calcium waves in astrocytes. Cell Calcium, 17:53-64. 

45. Nagarajan, S. S., D. M. Durand, B. J. Roth and R. S. Wijesinghe, 1995, Magnetic stimulation of axons in a nerve bundle: Effects of current redistribution in the bundle. Annals Biomed. Eng., 23:116-126. 

46. Roth, B. J., 1994, Mechanisms for electrical stimulation of excitable tissue. Crit. Rev. Biomed. Eng., 22:253-305. 

47. Roth, B. J., 1995, A mathematical model of make and break electrical stimulation of cardiac tissue by a unipolar anode or cathode. IEEE Trans. Biomed. Eng., 42:1174-1184. 

48. Roth, B. J. and J. P. Wikswo, Jr., 1996, The effect of externally applied electrical fields on myocardial tissue. Proc. IEEE, 84:379-391. 

49. Roth, B. J., 1996, Effect of a perfusing bath on the rate of rise of an action potential propagating through a slab of cardiac tissue. Annals Biomed. Eng., 24:639-646. 

50. Roth, B. J., 1996, Strength-interval curves for cardiac tissue predicted using the bidomain model. J. Cardiovasc. Electrophysiol., 7:722-737. 

51. Roth, B. J., D. Ko, I. R. von Albertini-Carletti, D. Scaffidi and S. Sato, 1997, Dipole localization in patients with epilepsy using the realistically shaped head model. Electroenceph. clin. Neurophysiol., 102:159-166. 

52. Roth, B. J., 1997, Electrical conductivity values used with the bidomain model of cardiac tissue. IEEE Trans. Biomed. Eng., 44:326-328. 

53. Roth, B. J., 1997, Approximate analytical solutions to the bidomain equations with unequal anisotropy ratios. Phys. Rev. E., 55:1819-1826. 

54. Roth, B. J., 1997, Nonsustained reentry following successive stimulation of cardiac tissue through a unipolar electrode. J. Cardiovasc. Electrophysiol., 8:768-778. 

55. Panizza, M., J. Nilsson, B. J. Roth, S. E. Grill, M. Dimirci and M. Hallett, 1998, Differences between the time constant of sensory and motor peripheral nerve fibers: Further studies and considerations. Muscle & Nerve, 21:48-54 . 

56. Roth, B. J. and W. Krassowska, 1998, The induction of reentry in cardiac tissue. A missing link: How electric fields alter transmembrane potential. Chaos, 8:204-220. 

57. Roth, B. J., 1998, The pinwheel experiment revisited. J. theor. Biol., 190:389-393.

58. Roth, B. J., 1998, Thermal fluctuations of the magnetic field over a thin conducting plate. J. Appl. Phys., 83:635-638. 

59. Wijesinghe, R. S., B. J. Roth and N. Tepley, 1998, Modeling of spreading cortical depression using a realistic head model. Brain Topography, 11:3-12. 

60. Roth, B. J., 1998, Frequency locking of meandering spiral waves in cardiac tissue. Phys. Rev. E, 57:R3735-3738. 

61. Laskey, A. D., B. J. Roth, P. B. Simpson and J. T. Russell, 1998, Images of Ca2+ flux in astrocytes: Evidence for spatially distinct sites of Ca2+ release and uptake. Cell Calcium, 23:423-432.

62. Latimer, D. C. and B. J. Roth, 1998, Electrical stimulation of cardiac tissue by a bipolar electrode in a conductive bath. IEEE Trans. Biomed. Eng., 45:1449-1458. 

63. Latimer, D. C. and B. J. Roth, 1999, Effect of a bath on the epicardial transmembrane potential during internal defibrillation shocks. IEEE Trans. Biomed. Eng., 46:612-614. 

64. Bennett, J. A. and B. J. Roth, 1999, Dependence of cardiac strength-interval curves on pacing rate. Med. & Biol. Eng. & Comput., 37:108-109.

65. Bennett, J. A. and B. J. Roth, 1999, Time dependence of anodal and cathodal refractory periods in cardiac tissue. PACE, 22:1031-1038. 

66. Roth, B. J., S.-F. Lin and J. P. Wikswo, Jr., 1998, Unipolar stimulation of cardiac tissue. J. Electrocardiol., 31 (Suppl.):6-12. 

67. Lin, S.-F., B. J. Roth and J. P. Wikswo, Jr., 1999, Quatrefoil reentry in myocardium: An optical imaging study of the induction mechanism. J. Cardiovasc. Electrophysiol., 10:574-586. 

68. Roth, B. J., 1999, Mechanism for polarization of cardiac tissue at a sealed boundary. Med. & Biol. Eng. & Comput., 37:523-525.

69. Roth, B. J. and M. C. Woods, 1999, The magnetic field associated with a plane wave front propagating through cardiac tissue. IEEE Trans. Biomed. Eng., 46:1288-1292. 

70. Roth, B. J. and J. Chen, 1999, Mechanism of anode break excitation in the heart: the relative influence of membrane and electrotonic factors. J. Biol. Systems, 7:541-552. 

71. Efimov, I. R., R. A. Gray and B. J. Roth, 2000, Virtual electrodes and de-excitation: New insights into fibrillation induction and defibrillation. J. Cardiovasc. Electrophysiol., 11:339-353.

72. Lindblom, A. E., B. J. Roth and N. A. Trayanova, 2000, The role of virtual electrodes in arrhythmogensis: Pinwheel Experiment Revisited. J. Cardiovasc. Electrophysiol., 11:274-285. 

73. Roth, B. J., 2000, An S1 gradient of refractoriness is not essential for reentry induction by an S2 stimulus. IEEE Trans. Biomed. Eng., 47:820-821. 

74. Patel, S. G. and B. J. Roth, 2000, How electrode size affects the electric potential distribution in cardiac tissue. IEEE Trans. Biomed. Eng., 47:1284-1287. 

75. Roth, B. J., 2001, Meandering of spiral waves in anisotropic cardiac tissue. Physica D,150:127-136. 

76. Akar, F. G., B. J. Roth and D. S. Rosenbaum, 2001, Optical measurement of cell-to-cell coupling in the intact heart using subthreshold electrical stimulation. Amer. J. Physiol. 281: H533-H542.

77. Bray, M.-A., S.-F. Lin, R. R. Aliev, B. J. Roth and J. P. Wikswo, Jr., 2001, Experimental and theoretical analysis of phase singularity dynamics in cardiac tissue. J. Cardiovasc. Electrophysiol., 12:716-722. 

78. Langrill, D. M. and B. J. Roth, 2001, The effect of plunge electrodes during electrical stimulation of cardiac tissue. IEEE Trans. Biomed. Eng., 48:1207-1211. 

79. Hildebrandt, M. C. and B. J. Roth, 2001, A simulation of protective zones during quatrefoil reentry in cardiac tissue. J. Cardiovasc. Electrophysiol., 12:1062-1067. 

80. Patel, S. G. and B. J. Roth, 2001, How epicardial electrodes influence the transmembrane potential during a strong shock. Annals Biomed. Eng., 29:1028-1031. 

81. Janks, D. and B. J. Roth, 2002, Averaging over depth during optical mapping of unipolar stimulation. IEEE Trans. Biomed. Eng., 49:1051-1054. 

82. Roth, B. J., 2002, Artifacts, assumptions, and ambiguity: Pitfalls in comparing experimental results to numerical simulations when studying electrical stimulation of the heart. Chaos, 12:973-981. 

83. Latimer, D. C., B. J. Roth and K. K. Parker, 2003, Analytical model for predicting mechanotransduction effects in engineered cardiac tissue. Tissue Engineering, 9:283-289. 

84. Murdick, R. and B. J. Roth, 2003, Magneto-encephalogram artifacts caused by electro-encephalogram electrodes. Med. & Biol. Eng. & Comput., 41:203-205. 

85. Roth, B. J. and D. Langrill Beaudoin, 2003, Approximate analytical solutions of the bidomain equations for electrical stimulation of cardiac tissue with curving fibers. Phys. Rev. E, 67:051925. 

86. Roth, B. J. and S. G. Patel, 2003, Effects of elevated extracellular potassium ion concentration on anodal excitation of cardiac tissue. J. Cardiovasc. Electrophysiol., 14:1351-1355. 

87. Roth, B. J., 2004, Art Winfree and the bidomain model of cardiac tissue.  J. Theor. Biol., 230:445-449. 

88. Murdick, R. A. and B. J. Roth, 2004, A comparative model of two mechanisms from which a magnetic field arises in the heart. J. Appl. Phys., 95:5116-5122. 

89. Liau, J., J. Dumas, D. Janks, B. J. Roth and S. B. Knisley, 2004, Cardiac optical mapping under a translucent stimulation electrode.  Ann. Biomed. Eng., 32:1202-1210. 

90. Langrill Beaudoin, D. and B. J. Roth, 2004, Effect of plunge electrodes in active cardiac tissue with curving fibers.  Heart Rhythm, 1:476-481. 

91. Patel, S. G. and B. J. Roth, 2005, Approximate solution to the bidomain equations for defibrillation problems.  Phys. Rev. E, 71: 021908.

92. Langrill Beaudoin, D. and B. J. Roth,  2005, How the spatial frequency of polarization influences the induction of reentry in cardiac tissue. J. Cardiovasc. Electrophysiol., 16:748-752. 

93. Poelzing, S., B. J. Roth and D. S. Rosenbaum, 2005, Optical measurements reveal nature of intercellular coupling across the ventricular wall. Am. J. Physiol., 289:H1428-H1435.

94. Roth, B. J., S. G. Patel and R. A. Murdick, 2006, The effect of the cut surface during electrical stimulation of a cardiac wedge preparation. IEEE Trans. Biomed. Eng., 53:1187-1190. 

95. Puwal, S. and B. J. Roth, 2006, Numerical simulations of synchronized pacing. Journal Biological Systems, 14:101-112. 

96. Puwal, S., B. J. Roth and S. Kruk, 2005, Automating phase singularity localization in mathematical models of cardiac tissue dynamics. Mathematical Medicine and Biology, 22:335-346. 

97. Patel, S. G. and B. J. Roth, 2005, Approximate solution to the bidomain equations for electrocardiogram problems. Phys. Rev. E, 72:051931. 

98. Langrill Beaudoin, D. and B. J. Roth, 2006, The effect of the fiber curvature gradient on break excitation in cardiac tissue. PACE, 29:496-501. 

99. Janks, D. L. and B. J. Roth, 2006, Quatrefoil reentry caused by burst pacing. J. Cardiovasc. Electrophysiol., 17:1362-1368. 

100. Puwal, S. and B. J. Roth, 2007, Forward Euler stability of the bidomain model of cardiac tissue. IEEE Trans. Biomed. Eng., 54:951-953. 

101. Prior, P. and B. J. Roth, 2007, Electrostriction of anisotropic tissue. Phys. Rev. E, 75:021903. 

102. Brinker, K. and B. J. Roth, 2008, The effect of electrical anisotropy during magneto-acoustic tomography with magnetic induction. IEEE Trans. Biomed. Eng., 55:1637-1639. 

103. Hosfeld, V. D., S. Puwal, K. Jankowski and B. J. Roth, 2007, A model for multi-site pacing of fibrillation using nonlinear dynamics feedback. J. Biological Physics, 33:145-153. 

104. Tseng, N. and B. J. Roth, 2008, The potential induced in anisotropic tissue by the ultrasonically-induced Lorentz force. Med. & Biol. Eng. & Comput., 46:195-197. 

105. Roth, B. J., 2008, Photon density measured over a cut surface: Implications for optical mapping of the heart. IEEE Trans. Biomed. Eng., 55:2102-2104.

106. Prior, P. and B. J. Roth, 2008, Calculation of optical signal using three-dimensional bidomain/diffusion model reveals distortion of the transmembrane potential. Biophys. J., 95:2097-2102.

107. Puwal, S. and B. J. Roth, 2009, Optimization of feedback pacing for defibrillation.  IEEE Trans. Biomed. Eng., 56:532-534.

108. Roth, B. J. and P. J. Basser, 2009, Mechanical model of neural tissue displacement during Lorentz effect imaging. Magn. Reson. Med., 61:59-64.

109. Mazeh, N. and B. J. Roth, 2009, A Mechanism for the upper limit of vulnerability. Heart Rhythm, 6:361-367.

110. Puwal, S., B. J. Roth and D. Garfinkle, 2009, Spherical topology in cardiac simulations. HFSP Journal, 3: 124-129. 

111. Roth, B. J. and A. M. Pertsov, 2009, Hybrid modeling of electrical and optical behavior in the heart. Physica D: Nonlinear Phenomena, 238:1019-1027. 

112. Roth, B. J. and K. Schalte, 2009, Ultrasonically-induced Lorentz force tomography. Med. & Biol. Eng. & Comput., 47:573–577. 

113. Prior, P. W. and B. J. Roth, 2009, Development of an imaging modality utilizing 2-D optical signals during an epi-flourescent optical mapping experiment. Phys. Med. Biol., 54:3015-3030. 

114. Wijesinghe, R. and B. J. Roth, 2009, Detection of peripheral nerve and skeletal muscle action currents using magnetic resonance imaging. Ann. Biomed. Eng., 37:2402-2406.

115. Wijesinghe, R. and B. J. Roth, 2010, Lorentz effect imaging of ionic currents in solution using correct values for ion mobility. J. Magn. Reson., 204:225-227. 

116. McBride, K. K., B. J. Roth, V. Y. Sidorov, J. P. Wikswo and F. J. Baudenbacher, 2010, Measurements of transmembrane potential and magnetic field at the apex of the heart. Biophys. J., 99:3113-3118. 

117. Puwal, S. and B. J. Roth, 2010, Mechanical bidomain model of cardiac tissue. Phys. Rev. E, 82:041904.  (Note: see erratum)

118. Charteris, N. and B. J. Roth, 2011, How hyperpolarization and recovery of excitability affect propagation through a virtual anode in the heart. Comput. Math. Meth. Med., 2011:375059.

119. Roth, B. J., 2011, The role of magnetic forces in biology and medicine. Exp. Biol. Med., 236:132-137.

120. Puwal, S. and B. J. Roth, 2011, Fourier-based magnetic induction tomography for mapping resistivity. J. Appl. Physics, 109:014701. 

121. Puwal, S. and B. J. Roth, 2011, Fourier analysis in magnetic induction tomography: Mapping of anisotropic, inhomogeneous resistivity. Meas. Sci. Technol., 22:085802.

122. Punal, V. M. and B. J. Roth, 2012, A perturbation solution of the mechanical bidomain model. Biomechanics and Modeling in Mechanobiology, 11:995-1000. 

123. Jay, W. I., R. S. Wijesinghe, B. D. Dolasinski and B. J. Roth, 2012, Is it possible to detect dendrite currents using presently available magnetic resonance imaging techniques? Med. & Biol. Eng. & Comput., 50:651-657.

124. Puwal, S. and B. J. Roth, 2013, Monodomain shear wave propagation and bidomain shear wave dispersion in an elastic model of cardiac tissue. Phys. Rev. E, 87:024701.

125. Roth, B. J., 2013, Boundary layers and the distribution of membrane forces predicted by the mechanical bidomain model. Mechanics Research Communications, 50:12-16.

126. Mazeh, N., D. E. Haines, M. W. Kay, and B. J. Roth, 2013, A simplified approach for simultaneous measurements of wavefront velocity and curvature in the heart using activation times. Cadiovascular Engineering and Technology, 4:520-534.

127. Gray, R. A., D. N. Mashburn, V. Y. Sidorov, B. J. Roth, P. Pathmanathan, and J. P. Wkswo, 2013, Transmembrane current imaging in the heart during pacing and fibrillation. Biophys. J., 105:1710-1719.

128. Kandel, S. M. and B. J. Roth, 2014, Intracellular calcium and the mechanism of the dip in the anodal strength-interval curve in cardiac tissue. Circulation J., 78:1127-1136.

129. Roth, B. J., A. Luterek, and S. Puwal, 2014, The movement of a nerve in a magnetic field: Application to MRI Lorentz effect imaging. Med. & Biol. Eng. & Comput., 52:491-498.

130. Sharma, K. and B. J. Roth, 2014, How compressibility influences the mechanical bidomain model. BIOMATH, 3:141171.

131. Roth, B. J., S. Puwal, and P. J. Basser, 2015, Local magnetic field perturbations caused by magnetic susceptibility heterogeneity in myelin-water layers within an axon. Journal of Coupled Systems and Multiscale Dynamics, 3:228-232.

132. Sharma, K., N. Al-asuoad, M. Shillor, and B. J. Roth, 2015, Intracellular, extracellular, and membrane forces in remodeling and mechanotransduction: The mechanical bidomain model. Journal of Coupled Systems and Multiscale Dynamics, 3:200-207.

133. Galappaththige, S., and B. J. Roth, 2015, Electrical pacing of cardiac tissue including potassium inward rectification. PLoS ONE, 10:e0127837.

134. Kandel, S., and B. J. Roth, 2015, The mechanism of reflection type reentry: A simulation study. J. Cardiovasc. Electrophysiol., 26:1370-1375.

135. Kandel, S. M., and B. J. Roth, 2015, Electrical instability due to regional increase in extracellular potassium ion concentration. Journal of Nature and Science, 1:e160.

136. Gandhi, S. and B. J. Roth, 2016, A numerical solution of the mechanical bidomain model. Computer Methods in Biomechanics and Biomedical Engineering, 19:1099-1106.

137. Thapa, R., J. Gorski, A. Bogedin, M. Maywood, C. Clement, S. H. Nasr, D. Hanna, X. Huang, B. J. Roth, G. Madlambayan, and G. D. Wilson, 2016, Hyaluronan-mediated ferric oxide nanoparticles causes apoptosis of CD44 expressing head and neck squamous cell carcinoma cells. International Journal of Cancer Therapy and Oncology, 4:424.

138. Puwal, S., B. J. Roth, and P. J. Basser, 2017, Heterogeneous anisotropic magnetic susceptibility of myelin-water layers causes local magnetic field perturbations in an axon. NMR in Biomedicine, 30:e3628.

139. Auddya, D. and B. J. Roth, 2017, A mathematical description of a growing cell colony based on the mechanical bidomain model. J. Phys. D, 50:105401.

140. Galappaththige, S. K., R. A. Gray, and B. J. Roth, 2017, Cardiac strength-interval curves calculated using a bidomain tissue with a parsimonious ionic current. PLoS ONE, 12:e0171144.

141. Galappaththige, S. K., R. A. Gray, and B. J. Roth, 2017, Modeling bipolar stimulation of cardiac tissue. Chaos, 27:093920.

142. Costantino, A., C. Hyatt, M. Kollisch-Singule, B. Jacques, B. J. Roth, and A. Pertsov, 2017, Determining the light scattering and absorption parameters from forward directed flux measurements in cardiac tissue. Journal of Biomedical Optics, 22:76009.

143. Sharma, K. and B. J. Roth, 2018, The mechanical bidomain model of cardiac muscle with curving fibers. Phys. Biol., 15:066012.

144. Sharma, K. and B. J. Roth, 2018, Engineered cardiac tissue analyzed using the mechanical bidomain model. Phys. Rev. E, 98:052402.

145. Roth, B. J., 2018, Mechanotransduction caused by a point force in the extracellular space. BIOMATH, 7:1810197.

146. Wijesinghe, D. and B. J. Roth, 2019, Mechanical bidomain model of cardiac muscle with unequal anisotropy ratios. Phys. Rev. E, 100:062417.

147. Roth, B. J., 2021, Bidomain modeling of electrical and mechanical properties of cardiac tissue. Biophysics Reviews, 2:041301.

148. Wijesinghe, D. and B. J. Roth, 2022, Indentation of anisotropic tissue using a three-dimensional mechanical bidomain model. Fibers, 10:69. 

149. Alzahrani, M. and B. J. Roth, 2023, The electric field induced by a microcoil during magnetic stimulation. IEEE Trans. Biomed. Eng., 70:3260-3262.

150. Batool, S., B. J. Roth, and Y. Xia, 2024, Depth-dependent strain model (1D) for anisotropic fibrils in articular cartilage. Materials, 17:238.

151. Alzahrani, M. and B. J. Roth, 2024, The calculation of maximum electric field intensity in brain tissue stimulated by a current pulse through a microcoil via capacitive coupling. Applied Sciences, 14:2994.

152. Roth, B. J., 2024, The magnetocardiogram. Biophysics Reviews, 5:0201950.

153. Alzahrani, M. and B. J. Roth, 2024, The difference between traditional magnetic stimulation and microcoil stimulation: Threshold and the electric field gradient. Applied Sciences (in press). 

Book Chapters, Letters, Conference Proceedings, Patents, etc. 

1. Roth, B. J., J. K. Woosley and J. P. Wikswo, Jr., 1985, An experimental and theoretical analysis of the magnetic field of a single axon. in: Biomagnetism: Applications and Theory, Weinberg, Stroink and Katila, Eds., Pergamon Press, New York, pp. 78-82. 

2. Wikswo, J. P., Jr. and B. J. Roth, 1985, Magnetic measurement of propagating action potentials in isolated one-dimensional cardiac tissue preparations. in: Biomagnetism: Applications and Theory, Weinberg, Stroink and Katila, Eds., Pergamon Press, New York, pp. 121-125. 

3. Roth, B. J. and J. P. Wikswo, Jr., 1986, Errata to :The electrical potential and the magnetic field of an axon in a nerve bundle, Math. Biosci., 79:229. 

4. Roth, B. J. and J. P. Wikswo, Jr., 1988, The magnetic field of nerve and muscle fibers. in: Biomagnetism, '87, K. Atsumi, M. Kotani, S. Ueno, T. Katila and S. J. Williamson, Eds., Tokyo Denki Univ. Press, Tokyo, Japan, pp. 58-65. 

5. Roth, B. J. and J. P. Wikswo, Jr., 1989, Longitudinal resistance in cardiac muscle and its effects on propagation. in: Cell Interactions and Gap Junctions, vol. 2, N. Sperelakis and W. C. Cole, Eds., CRC Press, Boca Raton, FL, pp. 165-178. 

6. Roth, B. J., 1990, Biomagnetic studies of peripheral nerves and skeletal muscle. in: Magnetoencephalography, Sato, S., Ed., Raven Press, New York, pp. 101-117. 

7. Pascual-Leone A., A. Dhuna, B. J. Roth, L. Cohen and M. Hallett, 1990, Risk of burns during rapid-rate magnetic stimulation in presence of electrodes. (Letter) Lancet, 336:1195-1196. 

8. Cohen, L. G., B. J. Roth, E. Wassermann, H. Topka, P. Fuhr, J. Schultz and M. Hallett, 1991, Magnetic stimulation of the human cerebral cortex, an indication of reorganization in motor pathways in certain pathological conditions. J. clin. Neurophysiol., 8:56-65. 

9. Roth, B. J. and A. Pascual-Leone, 1991, Technology and Equipment Review: Magnetic Stimulation. J. clin. Neurophysiol., 8:121-129. 

10. Roth, B. J., L. G. Cohen and M. Hallett, 1991, The electric field induced during magnetic stimulation. Electroenceph. clin. Neurophysiol., Suppl. 43:268-278. 

11. Cohen, L. G., S. Bandinelli, H. R. Topka, P. Fuhr, B. J. Roth and M. Hallett, 1991, Topographic maps of human motor cortex in normal and pathological conditions: Mirror movements, amputations and spinal cord injuries. Electroenceph. clin. Neurophysiol., Suppl. 43:36-50. 

12. Wikswo, J. P., Jr. and B. J. Roth, 1991, Magnetometer flux pick-up coil with non-uniform interturn spacing optimized for spatial resolution. U. S. Patent 5,038,104. 

13. Roth, B. J. and J. M. Saypol, 1991, The formation of a re-entrant action potential wave front in tissue with unequal anisotropy ratios. (Letter) Int. J. Bifurcation and Chaos, 1:927-928. 

14. Fayad, Z. A., B. J. Roth and P. J. Basser, 1991, Correction to "A model of the stimulation of a nerve fiber by electromagnetic stimulation." IEEE Trans. Biomed. Eng., 38:1161-1162. 

15. Saypol, J. M., B. J. Roth, L. G. Cohen and M. Hallett, 1992, Erratum to "A theoretical comparison of electric and magnetic stimulation of the brain," Annals Biomed. Eng., 20:495. 

16. Roth, B. J. and S. Sato, 1992, Accurate and efficient formulas for averaging the magnetic field over a circular coil. Biomagnetism: Clinical Aspects. M. Hoke, S. N. Erne, T. C. Okada and G. L. Romani, Eds., Elsevier, Amsterdam, 797-800. 

17. Roth, B. J. and P. J. Basser, 1992, Correction to "A Model of the Stimulation of a Nerve Fiber by Electromagnetic Induction." IEEE Trans. Biomed. Eng., 39:1211. 

18. Trayanova, N. A. and B. J. Roth, 1992, Cardiac tissue in an electric field: A study in electrical stimulation. in: Computers in Cardiology, Oct. 11-14, 1992, Durham, NC, IEEE Press, Washington, 695-698. 

19. Goel, V. and B. J. Roth, 1994, Approximate analytical solutions to the bidomain equations describing electrical activity in cardiac tissue. Proceedings of the 13th Southern Biomedical Engineering Conference, April 16-17, 1994, Washington, DC, J. Vossoughi, Ed., 967-970. 

20. Roth, B. J., 1994, The bidomain model of cardiac tissue: predictions and experimental verification. in: Neural Engineering. Y. I. Kim and N. Thakor, Eds., Springer-Verlag, New York (in press). 

21. Roth, B. J., 1995, The electrical properties of tissues. in: The Biomedical Engineering Handbook, J. D. Bronzino, Ed., CRC Press, Boca Raton, FL, 126-138. 

22. Pascual-Leone A., J. Grafman, L. G. Cohen, B. J. Roth and M. Hallett, 1997, Transcranial magnetic stimulation: A new tool for the study of higher cognitive functions in humans. in: Handbook of Neuropsychology, Boller & Grafman, Eds., Elsevier, Amsterdam, 11: 267-290. 

23. Bourg, J., J. Mitchell, M. Mirotnik, B. Roth, S. Subramanian, M. Cherukuri and P. G. Zablocky, 1995, Pulsed low frequency EPR spectrometer and imager. U. S. Patent 5,387,867. 

24. Tepley, N., B. J. Roth and R. S. Wijesinghe, 1996, Modeling of spreading cortical depression using a realistic head model. Tenth International Conference on Biomagnetism, Feb. 16-21, Santa Fe, NM. 

25. Bourg, J., J. Mitchell, M. Mirotnik, B. Roth, S. Subramanian, M. Cherukuri, P. G. Zablocky, T. J. Pohida, P. D. Smith, W. S. Friauf and R. G. Tschudin, 1996, Pulsed low frequency EPR spectrometer and imager. U. S. Patent 5,502,386. 

26. Bray, M.-A. and B. J. Roth, 1997, The effect of electroporation on the strength-interval curve during unipolar stimulation of cardiac tissue. 19th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, October 30-November 2, 1997, Chicago, IL. 

27. Latimer, D. and B. J. Roth, 1997, Electrical stimulation of cardiac tissue by an electrode in a conductive bath. 19th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, October 30-November 2, 1997, Chicago, IL. 

28. Roth, B. J., 1997, A mechanism for the "no-response" phenomenon during anodal stimulation of cardiac tissue. 19th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, October 30-November 2, 1997, Chicago, IL. 

29. Roth, B. J., 1998, The effect of anisotropy on the meandering of spiral waves in cardiac tissue. in: Mathematical Models in Medical and Health Science. M. A. Horn, G. Simonett, and G. F. Webb, Vanderbilt Univ. Press, Nashville, TN, 327-336. 

30. Roth, B. J. and J. P. Wikswo, Jr., 1998, Comments on “Hall-Effect Imaging.” IEEE Trans. Biomed. Eng., 45:1294-1295. 

31. Roth, B. J., 2000, Two-dimensional Propagation in Cardiac Muscle. in: Cardiac Electrophysiology, From Cell to Bedside, 3rd Edition. D. Zipes and J. Jalife, Eds., Saunders, Philadelphia, 265-270 . 

32. Roth, B. J., A. E. Lindblom and N. A. Trayanova, 1999, Critical point theory versus the bidomain model for reentry induction. 21st Annual International Conference of the IEEE Engineering in Medicine and Biology Society, October 13-16, 1999, Atlanta, GA. 

33. Roth, B. J., 2000, Influence of a perfusing bath on the foot of the cardiac action potential. Circ Res., 86:E19-E22. 

34. Basser, P. J. and B. J. Roth, 2000, New currents in electrical stimulation of excitable tissues. Annual Review of Biomedical Engineering, 2:377-397. 

35. Roth, B. J., 2000, The electrical conductivity of tissues. in: The Biomedical Engineering Handbook, 2nd Edition, Vol. 1, J. D. Bronzino, Ed., CRC Press, Boca Raton, FL, Chapter 10. 

36. Collins, M. A. with B. J. Roth, 2000, Reentry induction without an electrical stimulus. Meeting of Minds: Journal of Undergraduate Research, 3:19-24.

37. Roth, B. J., 2001, Electrical stimulation of the heart. in: Research Advances in Biomedical Engineering. 2:89-96. 

38. Roth, B. J., 2001, Sawtooth effect: Fact or fancy? (editorial comment). J. Cardiovasc. Electrophysiol., 12:1174-1175. 

39. Murdick, R. with B. J. Roth, 2002, MEG artifacts caused by EEG electrodes. Meeting of Minds: Journal of Undergraduate Research, 4:76-81.

40. Roth, B. J., 2002, Correction to “How Electrode Size Affects the Electrical Potential Distribution in Cardiac Tissue." IEEE Trans. Biomed. Eng., 49: 500. 

41. LeBlanc, V. G. and B. J. Roth, 2003, Meandering of spiral waves in anisotropic tissue. in: Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications & Algorithms. 10:29-41. International Conference on Dynamics of Continuous, Discrete and Impulsive Systems, London, Canada, July 27-31, 2001. 

42. Roth, B. J., 2002, Virtual Electrodes Made Simple: A Cellular Excitable Medium Modified for Strong Electrical Stimuli. The Online Journal of Cardiology. http://sprojects.mmi.mcgill.ca/heart/pages/rot/rothom.html 

43. Roth, B. J., 2004, Two-dimensional propagation in cardiac muscle. in: Cardiac Electrophysiology: From Cell to Bedside, 4th Edition. D. P. Zipes and J. Jalife, Eds., 267-272. 

44. Srinivasan, R. and B. J. Roth, 2004, A mathematical model for electrical stimulation of a monolayer of cardiac cells.  Biomedical Engineering Online (http://www.biomedical-engineering-online.com/content/3/1/1). 

45. Langrill Beaudoin, D. and B. J. Roth, 2004, Small random fiber angle variations as a mechanism for far-field stimulation of cardiac tissue.  26th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, September 1-5, 2004, San Francisco, CA.

46. Janks, D. L. and B. J. Roth, 2004, Simulations of optical mapping during electroporation. 26th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, September 1-5, 2004, San Francisco, CA. 

47. Roth, B. J., 2005, The puzzle of defibrillation: Putting the pieces together. (editorial). J. Cardiovasc. Electrophysiol., 16:1206-1208. 

48. Roth, B. J., 2005, Michael Faraday and painless defibrillation. (editorial). Heart Rhythm, 2:1114-1115. 

49. Chen, R. with B. J. Roth, 2006, Effects of an insulated boundary on propagation of a wave front in cardiac tissue.  Meeting of Minds: Journal of Undergraduate Research, 8:64-68.

50. Roth, B. J., 2006, Defibrillators. in: The Encyclopedia of Medical Devices and Instrumentation, 2nd Edition.  Webster, J. G., Ed., Wiley, Hoboken, NJ, Vol. 2, pp. 406-410. 

51. Woods, M. C., V. Y Sidorov, M. R. Holcomb, D. Langrill Beaudoin, B. J. Roth and J. P. Wikswo, Jr., 2006, Virtual electrode effects around an artificial heterogeneity during field stimulation of cardiac tissue. Heart Rhythm, 3:751-752. 

52. Roth, B. J., 2006, The electrical conductivity of tissues. in: Biomedical Engineering Fundamentals: The Biomedical Engineering Handbook, 3rd Edition. Bronzino, J. D., Eds., CRC, Boca Raton, FL, chapter 21. 

53. Roth, B. J., 2006, How to explain why "unequal anisotropy ratios" is important using pictures but no mathematics.   28th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, Aug, 30 - Sept. 3, 2006, New York, NY. 

54. Watt, J. I. and B. J. Roth, 2007, An elementary model of earth's magnetic field. The Physics Teacher, 45:168-170. 

55. Fritz, M. M., P. W. Prior and B. J. Roth, 2007, Electrostriction effects during defibrillation. American Journal of Undergraduate Research, 6:9-17. 

56. Wikswo, J. P. Jr. and B. J. Roth, 2009, Virtual electrode theory of pacing. in: Cardiac Bioelectric Therapy: Mechanisms and Practical Implications. I. R. Efimov, M. Kroll, and P. Tchou, Eds., Springer, New York, 283-330.

57. Janks, D. and B. J. Roth, 2009, The bidomain theory of pacing. in: Cardiac Bioelectric Therapy: Mechanisms and Practical Implications. I. R. Efimov, M. Kroll, and P. Tchou, Eds., Springer, New York, 63-83.

58. Roth, B. J., 2008, Bidomain model. in: Scholarpedia, 3(4):6221. 

59. Roth, B. J., 2008, Long versus short duration fibrillation: What's the difference? (editorial). Heart Rhythm, 5:1607-1608.

60. Roth, B. J., 2009, What does the ratio of injected current to electrode area Not tell us about tDCS? (editorial).  Clin. Neurophysiol., 120:1037-1038. 

61. Hammond, R., R. N. K. Loh, O. A. Rawashdeh and B. J. Roth, 2009, Low energy defibrillation of the heart. Oakland University-Beaumont Biomedical Research Symposium, 1:13-14.

62. Mazeh, N. and B. J. Roth, 2010, Optical mapping of intramural reentry, in: Advances in Cardiovascular Research, Vol. 1, L. Schmitt and T. Konig, Eds., Nova Science Publishers, New York, 321-341.

63. Wijesinghe, R. and B. J. Roth, 2009, Effect of peripheral nerve action currents on magnetic resonance imaging. 31st Annual International Conference of the IEEE Engineering in Medicine and Biology Society, Sept., 2 - 6, 2009, Minneapolis, MN. 

64. Hobbie, R. K. and B. J. Roth, 2009, Resource letter MP-2: Medical physics. Am. J. Physics, 77:967-978. 

65. Wijesinghe, R. S. and B. J. Roth, 2009, Magnetic resonance imaging technique and peripheral nerve activities. Proceedings of the Indiana Academy of Science. 118:134-138. 

66. Roth, B. J., 2015, Electrical conductivity of tissues. in: Biomedical Engineering Fundamentals: The Biomedical Engineering Handbook, 4th Edition. Bronzino, J. D., and Peterson, D. R., Eds., CRC, Boca Raton, FL, Chapter 40. 

67. Mei, Y., with B. J. Roth, 2010, Displacements caused by eddy currents induced during magnetic resonance imaging. Meeting of Minds: Journal of Undergraduate Research, 136-143. 

68. Roth, B. J., 2010, Optical imaging of the heart: Seeing below the surface. (editorial). Heart Rhythm, 7:1850-1851. 

69. Roth, B. J., 2011, Numerical simulations of cardiac tissue excitation and pacing using the bidomain model. The Open Pacing, Electrophysiology and Therapy Journal, 4:1-9.

70. Puwal, S. and B. J. Roth, 2011, Erratum: “Fourier-based magnetic induction tomography for mapping resistivity” [J. Appl. Phys. 109, 014701 (2011)]. J. Appl. Phys., 109:059901.

71. Roth, B. J., 2012, Are glial cells responsible for transcranial direct current stimulation? (editorial). Clinical Neurophysiology, 123:1901.

72. Roth, B. J., 2013, The mechanical bidomain model: A review. ISRN Tissue Engineering, 2013:863689.

73. Kandel, S. M. and B. J. Roth, 2013, The strength-interval curve in cardiac tissue. Computational and Mathematical Methods in Medicine, 2013: 134163.

74. Roth, B. J., 2013, Bidomain simulations of defibrillation: 20 years of progress. (editorial) Heart Rhythm, 10:1218-1219.

75. Roth, B. J., 2014, Does ephaptic coupling contribute to propagation in cardiac tissue? (editorial) Biophys. J., 106:774-775.

76. Roth, B. J. and R. K. Hobbie, 2014, A collection of homework problems about the application of electricity and magnetism to medicine and biology. Amer. J. Physics, 82:422-427.

77. D’Almeida, C. M., with B. J. Roth, 2013, Medical applications of nanoparticles. Meeting of Minds: Journal of Undergraduate Research, 15:1-10.

78. Roth, B. J., 2015, Using the mechanical bidomain model to analyze the biomechanical behavior of cardiomyocytes. Cardiomyocytes: Methods and Protocols. Skuse, G. R. and M. C. Ferran, Eds., Vol. 1299 of the series Methods in Molecular Biology, Humana Press, 93-102.

79. Roth, B. J., 2014, Drifting through the beehive. (editorial) Biophys. J., 106:1555-1556.

80. Moore, K., L. DeVreugd, L. Guessous, B. J. Roth, and J. Walters, 2014, Mentoring early-career STEM faculty. 2014 Annual Mentoring Conference, University of New Mexico Mentoring Institute, October 21-24, 2014, Albuquerque, NM.

81. Guessous, L., K. Moore, J. Walters, B. J. Roth, L DeVreugd, and J. Reger, 2015, Developing an effective mentoring program for early-career STEM faculty: Lessons learned from the first three years of an ADVANCE PAID program. 122nd ASEE Annual Conference & Exposition, June 14-17, 2015, Seattle, WA.

82. Spencer, S. and B. J. Roth, 2015, An analytical solution of the mechanical bidomain model with compressibility. Meeting of Minds: Journal of Undergraduate Research.

83. Moore, K., J. Cunningham, L. Guessous, J. Reger, B. Roth, J. Walters, and L. DeVreugd, 2016, Multiple paths to full professor: Challenges to the academy in the 21st century. Oakland Journal, 26:10-26.

84. Thapa, R., S. Galoforo, S. M. Kandel, M. El-dakdouki, T. Wilson, X. Huang, B. J. Roth, and G. D. Wilson, 2015, Radiosensitizing and hyperthermic properties of hyaluronan conjugated dextran coated ferric oxide nanoparticles: Implications for cancer stem cell therapy. Journal of Nanomaterials, 2015:840594.

85. Roth, B. J., 2016, A mathematical model of mechanotransduction. arXiv:1611.08287.

86. Sharma, K. and B. J. Roth, 2017, A multiscale mechanical bidomain model of cardiac tissue with complex fiber geometry. 5th International Conference on Computational and Mathematical Biomedical Engineering, April 10-12, 2017, Pittsburgh, PA.

87. Xu, D. and B. J. Roth, 2017, The magnetic field produced by the heart and its influence on MRI. Mathematical Problems in Engineering, 2017:3035479.

88. Roth, B. J., 2017, Can the electrocardiogram distinguish foci from rotors during ventricular fibrillation? (editorial). J. Cardiovasc. Electrophysiol., 28:1167-1168.

89. Scribner, C., with B. J. Roth, 2017, Plane strain versus plane stress in the mechanical bidomain model. Meeting of Minds: Journal of Undergraduate Research.

90. Roth, B. J., 2018, A pedagogical master class on biological physics. Review of: From Photon to Neuron: Light, Imaging, Vision, by Philip Nelson. Physics Today, 71:54.

91. Emaus, K. J., with B. J. Roth, 2018, Applying two electric fields to a neuron below threshold generates repeated action potentials. Meeting of Minds: Journal of Undergraduate Research.

92. Nardone, T., with B. J. Roth, 2018, Mechanical bidomain model applied to the problem of torsion of a cylinder. Meeting of Minds: Journal of Undergraduate Research.

93. Fee, A. and B. J. Roth, 2019, Mechanotransduction in ischemic cardiac tissue: A mechanical bidomain approach under plane stress. American Journal of Undergraduate Research, 15:5-15.

94. Fee, A. with B. J. Roth, 2019, Mechanotransduction in stretched engineered cardiac tissue: A mechanical bidomain approach. Meeting of Minds: Journal of Undergraduate Research.

95. Janks, D. and B. J. Roth, 2021, The bidomain theory of pacing. in: Cardiac Bioelectric Therapy: Mechanisms and Practical Implications, 2nd Ed., I. R. Efimov, F. S. Ng, and J. I. Laughner, Eds.,  Springer, New York, 49–59.

96. Roth, B. J., V. Y. Sidorov, and J. P. Wikswo, 2021, Virtual electrode theory of pacing. in: Cardiac Bioelectric Therapy: Mechanisms and Practical Implications, 2nd Ed., I. R. Efimov, F. S. Ng, and J. I. Laughner, Eds.,  Springer, New York, 147–179.

97. Roth, B. and J. Wikswo, 2022, Russell K. Hobbie (obituary), Physics Today, https://physicstoday.scitation.org/do/10.1063/pt.6.4o.20220225a/full/.

98. Roth, B. J., 2023, The development of transcranial magnetic stimulation. BOHR International Journal of Neurology and Neuroscience, 1:9–21.

99. Roth, B. J., 2023, Can MRI be used as a sensor to record neural activity? Sensors, 23:1337.

100. Roth, B. J., 2023, A mathematical model of mechanotransduction. Academia Biology, 1.

101. Roth, B. J., 2023, Magneto-acoustic imaging in biology. Applied Sciences, 13:3877.

102. Roth, B. J., 2023, Biomagnetism: The first sixty years. Sensors, 23:4218. 

Dissertations and Reports 

1. Roth, B. J., 1987, Longitudinal Resistance in Strands of Cardiac Muscle. Ph.D. Dissertation, Vanderbilt University, Nashville, TN. 

Abstracts 

1. Bunch, R. M., B. J. Roth and W. P. Unruh, 1983, Size distributions of Ni and Co colloids within MgO. March Meeting of the American Physical Society, Los Angeles, CA, March 21-25. 

2. Roth, B. J. and J. P. Wikswo, Jr., 1984, Extracellular magnetic measurements to determine the transmembrane action potential and the membrane conduction current in a single giant axon. Soc. for Neuroscience Abstracts, 10:243. 

3. Gielen, F. L. H., B. J. Roth, J. P. Wikswo, Jr. and P. Brink, 1986, Action current propagation across an electrical synapse: magnetic measurements on a septated earthworm axon. Biophys. J., 49:340a. 30th Anniversary Meeting of the Biophysical Society, San Francisco, CA, Feb. 9-13. 

4. Roth, B. J., F. L. H. Gielen and J. P. Wikswo, Jr., 1986, The effect of frequency dependent conductivities in a volume conductor model of skeletal muscle. Biophys. J., 49:462a. 30th Anniversary Meeting of the Biophysical Society, San Francisco, CA, Feb. 9-13. 

5. Gielen, F. L. H., B. J. Roth and J. P. Wikswo, Jr., 1986, Electrical conductivities in myelinated nerve bundles. Proc. 39th Annual Conference on Engineering in Medicine and Biology, p. 144. Baltimore, MD, Sept. 13-16. 

6. Wijesinghe, R. S., F. L. H. Gielen, B. J. Roth and J. P. Wikswo, Jr., 1986, Magnetic measurements of compound action currents. Proc. 39th Annual Conference on Engineering in Medicine and Biology, p. 148. Baltimore, MD, Sept. 13-16. 

7. Roth, B. J. and J. P. Wikswo, Jr., 1987, The magnetic field of a single axon. J. Tenn. Acad. Sci., 62:41. Annual Meeting of the Tennessee Academy of Science , Nashville, TN. 

8. Mills, R. S., B. J. Roth and J. P. Wikswo, Jr., 1987, Action current perturbations across the electrotonic septum in the medial giant earthworm axon. Bull. Am. Phys. Soc., 32:2130. Annual Meeting of the Southeastern Section of the American Physical Society, Nashville, TN. 

9. Roth, B. J., W.-Q. Guo and J. P. Wikswo, Jr., 1987, The relative information content of biomagnetic and bioelectric fields. Bull. Am. Phys. Soc., 32:2131. Annual Meeting of the Southeastern Section of the American Physical Society, Nashville, TN. 

10. Wikswo, J. P., Jr. and B. J. Roth, 1987, High-resolution SQUID magnetometers for biophysics and non-destructive testing. Bull. Am. Phys. Soc., 32:2131. Annual Meeting of the Southeastern Section of the American Physical Society, Nashville, TN. 

11. Roth, B. J. and J. P. Wikswo, Jr., 1987, The extracellular potential produced by a cylindrical strand of cardiac muscle. Circ., 76 (Supp. IV):242. American Heart Association Meeting, Anaheim, CA. 

12. Roth, B. J. and J. P. Wikswo, Jr., 1988, A new technique for measuring the longitudinal resistance in strands of cardiac muscle. Biophys. J., 53:643a. 32nd Annual Meeting of the Biophysical Society, Phoenix, AZ. 

13. Roth, B. J., 1988, Electric properties of cardiac muscle - The bidomain model. J. Tenn. Acad. Sci., 63:50, Annual Meeting of the Tennessee Academy of Science, Jackson, TN. 

14. Roth, B. J., S. Tan and J. P. Wikswo, Jr., 1988, Two-dimensional inverse problems in biomagnetism. Phys. in Med. & Biol., 33 (Suppl. 1):62. World Congress on Medical Physics and Biomedical Engineering, San Antonio, Texas, Aug. 6-12. 

15. Wikswo, J. P., Jr., B. J. Roth and N. G. Sepulveda, 1988, Current distributions in bisyncytial tissue. Phys. in Med. & Biol., 33 (Suppl. 1):165. World Congress on Medical Physics and Biomedical Engineering, San Antonio, Texas, Aug. 6-12. 

16. Sepulveda, N. G., B. J. Roth and J. P. Wikswo, Jr., 1988, Finite element bidomain calculations, Proc. 10th Annual International Conference of the IEEE Engineering in Medicine and Biology Soc., pp. 950-951. 

17. Tan, S., B. J. Roth and J. P. Wikswo, Jr., 1989, The magnetic field of cortical current sources: The application of a spatial filtering model to the forward and inverse problems. Bull. Am. Phys. Soc., 34:1301. 

18. Ducla-Soares, E., D. Rose, S. Sato, K. Kufta and B. Roth, 1989, A study of the brain conductivity in view of MEG research. Med. Phys., 16:484. 31st Annual Meeting of the American Association of Physicists in Medicine, July 23-July 27, Memphis, TN. 

19. Roth, B. J., 1989, The electric field induced during magnetic stimulation. 1989 International Motor Evoked Potential Symposium, Aug. 18-20, Chicago, IL. 

20. Roth, B. J., R. Turner, L. G. Cohen and M. Hallett, 1990, New coil design for magnetic stimulation with improved focality. Movement Disorders, 5 (suppl. 1):32. First International Congress of Movement Disorders, April 25-27, 1990, Washington, DC. 

21. Basser, P. J. and B. J. Roth, 1990, Electromagnetic stimulation of a myelinated axon. Proceedings of the 16th Annual Northeast Bioengineering Conference, March 26-27, 1990, Pennsylvania State University, University Park, PA, 129-130. 

22. Basser, P. J. and B. J. Roth, 1990, Scaling laws for electromagnetic stimulation of an axon. Proceedings of the 12th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, November 1-4, 1990, Philadelphia, PA, 2238-2239. 

23. Nilsson, J., M. Panizza, B. J. Roth, P. J. Basser, L. G. Cohen, G. Caruso and M. Hallett, 1991, Cathode identification in magnetic stimulation of a peripheral nerve: Mathematical modeling supported by findings in normal volunteers. Neurology, 41 (Suppl 1):251. Forty-Third Annual Meeting of the American Academy of Neurology, April 21-27, 1991, Boston, MA. 

24. Roth, B. J. and S. Sato, 1991, Accurate and efficient formulas for averaging the magnetic field over a circular coil. 8th International Conference on Biomagnetism, August 18-24, 1991, Munster, Federal Republic of Germany, Book of Abstracts, 325-326. 

25. Roth, B. J., 1991, Stimulation of cardiac tissue with an anode. Annals Biomed. Eng., 19:620-621. 1991 Annual Fall Meeting of the Biomedical Engineering Society, Oct. 12-14, 1991, University of Virginia, Charlottesville, VA. 

26. Roth, B. J. and K. W. Altman, 1991, Stimulation of a nerve containing axons with a distribution of diameters. 22nd Annual Neural Prosthesis Workshop, Oct. 16-18, 1991, Bethesda, Maryland. 

27. Trayanova, N. A., B. J. Roth and L. J. Malden, 1992, A spherical heart in a uniform electric field: A study of cardiac stimulation. 1992 Computers in Cardiology, Oct. 11-14, 1992, Durham, NC. 

28. Balish, M. S., B. Roth, A. Gorbach and S. Sato, 1992, Comparison of 3-sphere and realistically shaped head models predicting dipole positions in temporal and frontal lobes. Epilepsia, 33 (Suppl. 3):63. The Annual Meeting of the American Epilepsy Society, Dec. 4-10, 1992, Seattle, WA. 

29. Gorbach, A. M., M. S. Balish, B. J. Roth and S. Sato, 1992, EEG localization of the source of epileptiform activity: real versus spherical head model. Epilepsia, 33 (Suppl. 3):63. The Annual Meeting of the American Epilepsy Society, Dec. 6-9, 1992, Seattle, WA. 

30. Nilsson, J., M. Panizza, B. J. Roth, P. J. Basser, L. G. Cohen, G. Caruso and M. Hallett, 1992, Electric and magnetic stimulation of human peripheral nerves. Proc. VI Mediterranean Conf Med Biol Eng, M. Bracale and F. Denoth, Eds., 413-416, July 5-10, 1992, Capri, Italy. 

31. Roth, B. J., S. Momen and R. Turner, 1992, A new method for the design of magnetic stimulation coils. 23rd Annual Neural Prosthesis Workshop, Oct. 13-15, 1992, Bethesda, Maryland. 

32. Roth, B. J. and J. P. Wikswo, Jr., 1993, Response of cardiac tissue to electrical stimulation from a point source. Biophys. J., 64:A208. 37th Annual Meeting of the Biophysical Society, Feb. 14-18, 1993, Washington, DC. 

33. Balish, M., D. Kovar, B. Roth and S. Sato, 1993, Influence of noise on dipole localization using the three-sphere head model (3SM) and the realistically shaped head model (RSHM). Neurology, 43:A161. 45th Annual Meeting of the American Academy of Neurology, April 27-29, 1993, New York, NY. 

34. Panizza, M., J. Nilsson, B. J. Roth, R. Mazzocchoi, J. C. Rothwell and M. Hallett, 1993, The time constants of motor and sensory peripheral nerve fibers measured with a double pulse technique. Electroenceph. clin. Neurophysiol., 87:S85. XIII International Congress of EEG and Clinical Neurophysiology, Vancouver, Canada, Aug. 30-Sept. 5, 1993. 

35. Trayanova, N. and B. J. Roth, 1993, Mechanisms for cardiac stimulation. 15th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, October 28-31, 1993, San Diego, CA, 817-818. 

36. Roth, B. J. and N. Trayanova, 1993, Electrical stimulation in a time-dependent, passive bidomain. 15th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, October 28-31, 1993, San Diego, CA, 857-858. 

37. Roth, B. J., P. J. Maccabee, L. Eberle, V. E. Amassian, M. Hallett, J. Cadwell, G. D. Anselmi and G. T. Tatarian, 1993, Evaluation of a four-leaf coil design for magnetic stimulation of peripheral nerve. 24th Annual Neural Prosthesis Workshop, Oct. 13-15, 1993, Bethesda, MD. 

38. Roth, B. J., D. Ko, K. Reese and S. Sato, 1994, Dipole localization of interictal spikes using a realistically shaped head model. Neurology, 44:A233. 46th Annual Meeting of the American Academy of Neurology, May 3-5, 1994, Washington, DC. 

39. Lin, S.-F., B. J. Roth, D. S. Echt and J. P. Wikswo, Jr., 1996, Complex dynamics following unipolar stimulation during the vulnerable phase. 69th Scientific Sessions of the American Heart Association. Circulation, 94: I-714. 

40. Latimer, D., B. J. Roth and J. P. Barach, 1996, Modeling electrical stimulation of cardiac muscle. J. Tenn. Acad. Sci., 72:28, 1997. 106th Annual Meeting of the Tennessee Academy of Science, Nov. 22, 1996, Sewanee, TN. 

41. Roth, B. J., 1997, The effect of anisotropy on the meandering of spiral waves in cardiac tissue. Conference on Mathematical Models in Medical and Health Sciences, Vanderbilt University, May 28-31, 1997, Nashville, TN. 

42. Panizza, M., J. Nilsson, B. J. Roth, S. E. Grill, M. Demirci and M. Hallett, 1997, Time constants of human sensory and motor peripheral nerves: Single axons studies compared with surface electrode findings. 14th International Congress of EEG and Clinical Neurophysiology, Aug. 24-30, 1997, Firenze, Italy. 

43. Roth, B. J., 1997, Meandering of spiral waves in the heart. Bulletin of the American Physical Society, 42: 1808, 1997. 63rd Annual Southeastern Section Meeting, American Physical Society, Nov. 6-8, 1997, Nashville, TN. 

44. Latimer, D. C. and B. J. Roth, 1997, Effect of a volume conductor on the transmembrane potential distribution over the epicardial surface of the heart. Bulletin of the American Physical Society, 42: 1799, 1997. 63rd Annual Southeastern Section Meeting, American Physical Society, Nov. 6-8, 1997, Nashville, TN. 

45. Bennett, J. A. and B. J. Roth, 1997, Time dependence of anodal and cathodal refractory periods in cardiac tissue. Bulletin of the American Physical Society, 42: 1799, 1997. 63rd Annual Southeastern Section Meeting, American Physical Society, Nov. 6-8, 1997, Nashville, TN. 

46. Lin, S.-F., B. J. Roth and J. P. Wikswo, Jr., 1998, Quatrefoil reentry in myocardium: An optical imaging study of the induction mechanism. 19th Annual Scientific Sessions of NASPE. 

47. Woods, M. C. and B. J. Roth, 1998, Extracellular potential of meandering spiral wave. Biomedical Engineering Society 1998 Annual Fall Meeting, Oct. 10-13, 1998, Cleveland, OH. 

48. Roth, B. J. and K. K. Parker, 1998, Stretch around an inhomogeneity in cardiac tissue. Biomedical Engineering Society 1998 Annual Fall Meeting, Oct. 10-13, 1998, Cleveland, OH. 

49. Roth, B. J., 1998, “Break” stimulation of cardiac tissue. Biomedical Engineering Society 1998 Annual Fall Meeting, Oct. 10-13, 1998, Cleveland, OH. 

50. Wikswo, J. P., M.-A. P. Bray, S.-F. Lin and B. J. Roth, 1999, Highly ordered cardiac reentry involving four synchronous rotors. March Meeting of the American Physical Society, Atlanta, GA, 1999. 

51. Roth, B. J., 2000, Electrical stimulation of the heart: Pacing, arrhythmias, and defibrillation. Bulletin of the American Physical Society, 45:833. March Meeting of the American Physical Society, Minneapolis, MN, 2000. 

52. Roth, B., 2000, Influence of the bidomain model with unequal anisotropy ratios on the meandering of a spiral wave. Proceedings of the Chicago 2000 World Congress on Medical Physics and Biomedical Engineering, July 23-28, 2000, Chicago, IL. 

53. Bray, M.-A., J. P. Wikswo, Jr., S.-F. Lin and B.J. Roth, 2000, Quantitative analysis of four synchronous rotors in cardiac reentry. Ann. Biomed. Eng., 28 (suppl. 1): S-55. BMES 2000, Biomedical Engineering Society Annual Meeting, Oct. 12-14, 2000, Seattle, WA. 

54. Langrill, D. M. and B. J. Roth, 2001, The effect of plunge electrodes during electrical stimulation of cardiac tissue. Ann. Biomed. Eng., 29 (suppl. 1): S-48. Biomedical Engineering Society Annual Meeting, Oct. 4-7, 2001, Durham, NC. 

55. Poelzing, S., B. J. Roth and D. S. Rosenbaum, 2002, Novel use of optical mapping to measure cell-to-cell coupling across the transmural wall. 23rd Annual Scientific Sessions of NASPE, May 8-11, 2002, San Diego, CA. 

56. Janks, D. L. and B. J. Roth, 2002, Averaging over depth during optical mapping of electroporation. 2nd Joint EMBS-BMES Conference, Houston, TX, Oct. 23-26, 2002, 1428-1429. 

57. Wikswo, J. P., Jr., R. Aliev, M.-A. Bray, F. Baudenbacher, P. Baudenbacher, V. Sidorov, M. Woods and B. Roth, 2002, Cardiostim 2002, Nice, France, June 20, 2002.  

58. Wikswo, J., M. Woods, V. Sidorov, D. Langrill and B. Roth, 2003, Effect of plunge electrode during field stimulation of cardiac tissue. March APS Meeting, Austin, TX, March 3-7, 2003. 

59. Langrill Beaudion, D. M. and B. J. Roth, 2003, Effect of plunge electrodes in active cardiac tissue with curving fibers.  BMES 2003 Annual Fall Meeting, Nashville, TN, Oct 1-4, 2003. 

60. Roth, B. J., 2003, Effect of elevated potassium on the anodal strength-interval curve of cardiac tissue. BMES 2003 Annual Fall Meeting, Nashville, TN, Oct 1-4, 2003. 

61. Patel, S. and B. J. Roth, 2004, An iterative solution to the bidomain equations describing defibrillation of the heart.  2004 Fall Meeting OSAPS-MIAAPT, Oakland University, Rochester, MI, Oct. 15-16, 2004. 

62. Puwal, S. and B. J. Roth, 2004, Simulations of synchronized pacing to defibrillate the heart.  2004 Fall Meeting OSAPS-MIAAPT, Oakland University, Rochester, MI, Oct. 15-16, 2004. 

63. Janks, D. L. and B. J. Roth, 2004, Burst pacing with weak stimuli induces reentry in cardiac tissue.  2004 Fall Meeting OSAPS-MIAAPT, Oakland University, Rochester, MI, Oct. 15-16, 2004. 

64. Langrill Beaudoin, D. M. and B. J. Roth, 2004, A comparison of the effect of square and circular electrodes during defibrillation.  2004 Fall Meeting OSAPS-MIAAPT, Oakland University, Rochester, MI, Oct. 15-16, 2004. 

65. Crone, J. I. and B. J. Roth, 2006, An elementary model of the earth's magnetic field.  Annual Meeting of the Michigan Academy of Science, Arts, & Letters, Oakland University, Rochester, MI, March 3-4, 2006.

66. Hosfeld, V. D. and B. J. Roth, 2006, Theoretical multisite pacing methods for ventricular fibrillation utilizing algorithms formed by nonlinear-dynamics-feedback. Annual Meeting of the Michigan Academy of Science, Arts, & Letters, Oakland University, Rochester, MI, March 3-4, 2006.

67. Prior, P. and B. J. Roth, 2006, Optical mapping of voltage in the heart.  Annual Meeting of the Michigan Academy of Science, Arts, & Letters, Oakland University, Rochester, MI, March 3-4, 2006.

68. Janks, D. and B. J. Roth, 2006, Rapid pacing of weak stimuli in the heart.  Annual Meeting of the Michigan Academy of Science, Arts, & Letters, Oakland University, Rochester, MI, March 3-4, 2006.

69. Fritz, M. with B. J. Roth, 2006, Electrostriction effects during defibrillation.  Sigma Xi Student Research Conference, Detroit, MI, Nov. 2-5, 2006.

70. Janks, D. with B. J. Roth, 2006, Burst pacing in cardiac muscle.  Sigma Xi Student Research Conference, Detroit, MI, Nov. 2-5, 2006.

71. Prior, P. with B. J. Roth, 2006, Electrostriction in anisotropic muscle tissue.  Sigma Xi Student Research Conference, Detroit, MI, Nov. 2-5, 2006.

72. Mazeh, N. with B. J. Roth, 2006, Induction of a cardiac arrhythmia by electric stimulation. Sigma Xi Student Research Conference, Detroit, MI, Nov. 2-5, 2006.

73. Prior, P. and B. Roth, 2007, Calculation of optical signal using bidomain/diffusion model reveals exponential decay of transmembrane potential. 2007 Spring Meeting OSAPS, Eastern Michigan University, Ypsilanti, MI, May 4-5, 2007.

74. Wijesinghe, R. and B. J. Roth, 2009, Is it possible to detect nerve action currents using magnetic resonance imaging? 2009 Biomedical Engineering Society Annual Fall Meeting, Pittsburgh, PA Oct. 7-10, 2009. 

75. Puwal, S. M. and B. J. Roth, 2010, A mechanical bidomain model of the heart. SIAM Conference on Imaging Science, Chicago, IL April 12-14, 2010.

76. Puwal, S. M. and B. J. Roth, 2010, Measuring conductivity of biological tissue using magnetic induction tomography. SIAM Conference on Imaging Science, Chicago, IL April 12-14, 2010.

77. Luterek, A. and B. J. Roth, 2010, Studying the movement of nerve axons under the influence of strong magnetic fields. 2010 SIAM Conference, Great Lakes Section, Dearborn, MI, April 17, 2010.

78. Xu, D. and B. J. Roth, 2010, The magnetic field produced by the heart and its influence on MRI. 2010 SIAM Conference, Great Lakes Section, Dearborn, MI, April 17, 2010.

79. Wijesinghe, R. S., B. D. Dolasinski and B. J. Roth, 2010, Exploring the feasibility of the detection of neuronal activity evoked by dendrite currents using MRI. BMES 2010 Annual Meeting, Austin, TX, Oct. 6-9, 2010.

80. Puwal, S. and B. J. Roth, 2011, Imaging muscle fiber geometry using magnetic induction tomography. Systems Biology Symposium, Ann Arbor, MI, April 4, 2011

81. Punal, V. and B. J. Roth, 2011, A perturbation solution of the mechanical bidomain model. 2011 Fall Meeting of the Ohio Region Section of the American Physical Society, Muncie, IN, Oct. 14-15, 2011.

82. Puwal, S. and B. J. Roth, 2011, Elastic wave propagation in the mechanical bidomain model of cardiac tissue. 2011 Fall Meeting of the Ohio Region Section of the American Physical Society, Muncie, IN, Oct. 14-15, 2011.

83. Mazeh, N. and B. J. Roth, 2011, Technique to measure action potential wave front speed, direction, and curvature in cardiac tissue. 2011 Fall Meeting of the Ohio Region Section of the American Physical Society, Muncie, IN, Oct. 14-15, 2011.

84. Jay, W., B. Dolasinski, R. Wijesinghe and B. J. Roth, 2011, Magnetic resonance imaging of dendrite currents. 2011 Fall Meeting of the Ohio Region Section of the American Physical Society, Muncie, IN, Oct. 14-15, 2011.

85. Jay, W., R. Wijesinghe and B. J. Roth, 2011, Magnetic resonance imaging of dendrite currents. 2011 BMES Annual Meeting, Hartford, CT, Oct. 12-15, 2011.

86. Mazeh, M., D. Haines and B. J. Roth, 2012, Method to measure wave front speed, direction, and curvature in the heart. BMES 2012 Annual Meeting, Atlanta, GA, Oct. 24-27, 2012.

87. Kandel, S. and B. J. Roth, 2012, The dip in the anodal strength-interval curve in cardiac tissue. BMES 2012 Annual Meeting, Atlanta, GA, Oct. 24-27, 2012.

88. Roth, B. J., 2012, Boundary layers in the mechanical bidomain model. BMES 2012 Annual Meeting, Atlanta, GA, Oct. 24-27, 2012.

89. Puwal, S. and B. Roth, 2012, Stability of the Euler integration method in coupled two-domain diffusive systems. Fall 2012 Meeting of the APS Ohio-Region Section, Detroit, MI, Oct. 5-6, 2012.

90. Kandel, S. and B. J. Roth, 2012, The dip in the anodal strength-interval curve in cardiac tissue. Fall 2012 Meeting of the APS Ohio-Region Section, Detroit, MI, Oct. 5-6, 2012.

91. Mazeh, N., D. Haines, and B. Roth, 2013, Velocity and curvatures of 3-D wave front in cardiac simulation. BMES 2013 Annual Meeting, Seattle, WA, Sept. 25-28, 2013.

92. Mazeh, N., D. Haines, G. Raff, A. Abass, and B. Roth, 2013, Cardiac architecture assessed in vivo using speckle tracking echocardiography. BMES 2013 Annual Meeting, Seattle, WA, Sept. 25-28, 2013.

93. Gandhi, S., P. Lwin, and B. J. Roth, 2014, A numerical method to solve the mechanical bidomain model of cardiac tissue. Michigan Academy of Science, Arts & Letters Conference, Rochester, MI, February 28, 2014.

94. DeVreugd, L., L. Guessous, K. Moore, and B. Roth, 2014, Engaging new STEM faculty: A cohort model. Michigan Academy of Science, Arts & Letters Conference, Rochester, MI, February 28, 2014.

95. Kandel, S. M. and B. J. Roth, 2014, The relative influence of sodium-calcium exchange current and electrotonic current in the dip in the anodal strength-interval curve. Michigan Academy of Science, Arts & Letters Conference, Rochester, MI, February 28, 2014.

96. Kandel, S. M. and B. J. Roth, 2014, Effect of different currents and extracellular potassium ion concentration on anodal excitation of cardiac tissue. Biophysical Society 58th Annual Meeting, San Francisco, Feb. 15-19, 2014.

97. Kandel, S. M. and B. J. Roth, 2014, The mechanism of reentry in an inhomogeneous sheet of ventricular myocardium. BMES 2014 Annual Meeting, San Antonio, TX, Oct. 22-25, 2014.

98. Roth, B. J., S. Puwal, and P. J. Basser, 2014, Local magnetic field perturbations caused by myelin magnetic susceptibility heterogeneities during myelin water imaging. Applied Mathematics Conference, Rochester, MI, Sept. 13, 2014.

99. Sharma, K., and B. J. Roth, 2014, How compressibility influences the mechanical bidomain model. Applied Mathematics Conference, Rochester, MI, Sept. 13, 2014.

100. Kandel, S. M., and B. J. Roth, 2014, The occurrence of electrical instability and reentry due to regional increase in extracellular potassium ion concentration. Applied Mathematics Conference, Rochester, MI, Sept. 13, 2014.

101. Puwal, S., P. J. Basser, and B. J. Roth, 2014, Calculation of the anisotropic magnetic field around a myelinated axon during MRI. 3rd International Workshop on MRI Phase Contrast & Quantitative Susceptibility Mapping, Duke University, Durham, NC, Oct. 6-8, 2014.

102. Galappaththige, S. and B. J. Roth, 2015, Electrical pacing of cardiac tissue including potassium inward rectification. Michigan Academy of Science, Arts & Letters Conference, Andrews University, Berrien Springs, MI, March 13, 2015.

103. Sharma, K. and B. J. Roth, 2015, How compressibility influences the mechanical bidomain model. Michigan Academy of Science, Arts & Letters Conference, Andrews University, Berrien Springs, MI, March 13, 2015.

104. Thapa, R., J. Gorski, A. Bogedin, M. Maywood, C. Clement, S. H. Nasr, D. Hanna, X. Huang, B. Roth, G. Madlambayan, and G. Wilson, 2015, Targeted elimination of CD44 expressing cells using ferric oxide nanoparticles in head & neck cancer. BMES 2015 Annual Meeting, Tampa, FL, October 7-10, 2015.

105. Rose, K. and B. J. Roth, 2017, Mechanical bidomain model of compressible cardiac tissue. Michigan Academy of Science, Arts and Letters Conference, Western Michigan University, Kalamazoo, MI, March 10, 2017.

106. Scribner, C. and B. J. Roth, 2017, Plane strain versus plane stress in the mechanical bidomain model. Michigan Academy of Science, Arts and Letters Conference, Western Michigan University, Kalamazoo, MI, March 10, 2017.

107. Roth, B. J., 2017, A mathematical model of mechanotransduction. SIAM Great Lakes Section 2017 Spring Meeting, Oakland University, Rochester, MI, April 29, 2017.

108. Auddya, D. and B. J. Roth, 2018, A mathematical model of mechanotransduction for morphogenesis. Mechanics in Morphogenesis, February 21-23, 2018, Princeton Center for Theoretical Science, Princeton University, Princeton, NJ.

109. Sharma, K. and B. J. Roth, 2018, Engineered cardiac tissue analyzed using the mechanical bidomain model. Mechanics in Morphogenesis, February 21-23, 2018, Princeton Center for Theoretical Science, Princeton University, Princeton, NJ.

110. DeVreugd, L., L. Guessous, J. Walters, B. J. Roth, S. Martic, J. Cunningham, K. Moore, J. Reger, and D. Stone, 2019, Transitioning from WISE to WISER—Life after an NSF ADVANCE grant. 2019 CoNECD: The Collborative Network for Engineering and Computing Diversity, April 14-17, Washington, DC.

111. Wijesinghe, D. and B. J. Roth, 2019, Insights into mechanotransduction: Effects of unequal anisotropy ratios in cardiac muscle. OSAPS/MIAAPT Fall 2019 Meeting, Kettering University, Flint, MI, October 11–12, 2019.

112. Roth, B. J., 2019, A blog as ancillary material for a physics textbook. OSAPS/MIAAPT Fall 2019 Meeting, Kettering University, Flint, MI, October 11–12, 2019.

113. Roth, B. J. 2020, The purpose of homework problems is insight, not numbers: Crafting exercises for an intermediate biological physics class. APS March Meeting, Denver, CO, March 2, 2020.

114. Wijesinghe, D. and B. J. Roth, 2020, Analysis on effects of unequal anisotropy ratios in cardiac muscle. International Physics of Living Systems 2020 Annual Meeting, Georgia Institute of Technology iPoLS Node (online), June 8-11, 2020.

115. Roth, B. J., 2021, Two-semester intermediate course sequence in physics for the life sciences. 2021 AAPT Virtual Summer Meeting, July 31—August 4, 2021.

116. LaConte, L., N. Donaldson, E. Redish, B. Roth, E. Szuszczewicz, 2022, Physics in the medical school curriculum: Foundational science content to support medical diagnosis. SIDM2020 Conference, October 16–18, 2022, Minneapolis, MN.

117. Batool, S., B. J. Roth, and Y. Xia, 2023, Depth-dependent strain calculations of anisotropic fibril structures in articular cartilage by finite difference methods. Orthopaedic Research Society 2023 Annual Meeting, February 10–14, 2023, Dallas, Texas.

118. Batool, S., B. J. Roth, and Y. Xia, 2023, Depth-dependent strain calculations of anisotropic fibril structures in articular cartilage. 2023 Spring Meeting of the APS Eastern Great Lakes Section, April 1, 2023, Oakland University, Rochester, Michigan. 

Biography 

     Brad Roth was born in Clinton, Iowa in 1960, and was raised in Morrison, Illinois. He attended Homestead High School in Fort Wayne, Indiana (1974-76), Ashland High School in Ashland, Ohio (1976-77) and Shawnee Mission South High School in Overland Park, Kansas (1977-78). From 1978-1982 he attended the University of Kansas in Lawrence, Kansas, supported in part by a National Merit Scholarship. While at KU he majored in Physics (BS, 1982) and received the Stranathan Award, the highest honor awarded by the KU physics department to an undergraduate. In 1982, he entered Vanderbilt University in Nashville, Tennessee (MS, 1985; PhD, 1987) on a NSF Graduate Fellowship. His graduate research was performed in the Living State Physics Laboratory, headed by Dr. John Wikswo. This work resulted in the first detailed comparison of the transmembrane potential and magnetic field produced by an isolated nerve axon, and the prediction of electrically silent magnetic fields generated by electrical activity at the apex of the heart. After obtaining his PhD, Dr. Roth remained at Vanderbilt for a year as an American Heart Association Research Fellow, during which time he developed Fourier methods for solving the magnetic inverse problem with two-dimensional current sources. 

     In 1988, Dr. Roth joined the Biomedical Engineering and Instrumentation Program at the National Institutes of Health in Bethesda, Maryland. His research at NIH centered on three themes: cardiac electrophysiology, magnetic stimulation of nerves, and analysis of the electroencephalogram. His work on the heart was directed toward developing the bidomain model of cardiac tissue, and using it to understand problems such as defibrillation, arrhythmia generation, and anodal stimulation (For a popular account of this research, see Science, 303:786-787, Feb. 6, 2004). Dr. Roth's work on magnetic stimulation involved calculating the electric field induced in the brain, determining the site of excitation of a peripheral nerve, and coil design. His studies of the EEG required development of a realistically shaped head model to localize the source of electrical activity in patients who are candidates for epilepsy surgery. In 2021, Dr. Roth's publications were cited in the scientific literature over 300 times. 

     From 1995 to 1998, Dr. Roth was the Robert T. Lagemann Assistant Professor of Living State Physics in the Department of Physics & Astronomy at Vanderbilt University. In 1998, he became an Associate Professor in the Department of Physics at Oakland University, where he is now a Professor and continues his research in theoretical cardiac electrophysiology, and teaches physics. He is coauthor of the textbook Intermediate Physics for Medicine and Biology. 

     In 2006 he was elected a Fellow of the American Physical Society (Division of Biological Physics). His citation reads: 

"For his theoretical and numerical studies of bioelectric and biomagnetic phenomena, especially for his contributions to the bidomain model of the heart."