Publications

Journal Articles

91. Jian Du, Owen Lewis, James P. Keener, Aaron L. Fogelson, Modeling and Simulation of the Ion-Binding-Mediated Swelling Dynamics of Mucin-like Polyelectrolyte Gels’, 2021, Gels, accepted.

90. Andrew Kassen, Aaron Barrett, Varun Shankar, Aaron L. Fogelson, Immersed boundary simulations of cell-cell interactions in whole blood, Journal of Computational Physics, 2021, submitted.

89. Jian Du, Bindi M. Nagda, Owen L. Lewis, Daniel B. Szyld, Aaron L. Fogelson, A computational framework for the swelling dynamics of mucin-like polyelectrolyte gels, Journal of Computational Physics, 2021, submitted.

88. Aaron L. Fogelson, Anna C. Nelson, Cheryl Zapata-Allegro, James P. Keener, Development of Fibrin Branch Structure Before and After Gelation, SIAM Journal on Applied Mathematics, 2021, accepted.

87. Aaron Barrett, Aaron L. Fogelson, Boyce E. Griffith, A Hybrid Semi-Lagrangian Cut Cell Method for Advection-Diffusion Problems with Robin Boundary Conditions in Moving Domains', Journal of Computational Physics, 2022, 449, 110805..

86. Varun Shankar, Grady B. Wright, Aaron L. Fogelson, An Efficient High-Order Meshless Method for Advection-Diffusion Equations on Time-Varying Irregular Domains, Journal of Computational Physics, 2021,445, 110633.

85. Andrew Kassen, Varun Shankar, Aaron L. Fogelson, A fine-grained parallelization of the immersed boundary method, 2020, International Journal of High Performance Computing Applications, accepted.

84. Hallie Elich, Aaron Barrett, Varun Shankar, Aaron L. Fogelson, Pump efficacy in a fluid-structure-interaction model of a chain of contracting lymphangions, Biomechanics and Mechanical Biology, 2021, doi: 10.1007/s10237-021-01486-w.

83. Jian Du, Elise Aspray, Aaron L. Fogelson, Computational Investigation of Platelet Thrombus Mechanics and Stability in Stenotic Channels, Journal of Biomechanics, 2021, 222, 110398.

82. Kathryn G. Link, Michael T. Stobb, Dougald M. Monroe, Aaron L. Fogelson, Keith B. Neeves, Suzanne S. Sindi, Karin Leiderman, Computationally Driven Discovery in Coagulation, Arteriosclerosis, Thrombosis, and Vascular Biology, 2021 41:79-86.

81. Karin Leiderman, Suzanne S. Sindi, Dougald M. Monroe, Aaron L. Fogelson, Keith B. Neeves, The art and science of building a computational model to understand hemostasis, Seminars in Thrombosis and Hemostasis, 2021, 47, 129-138.

80. Jian Du, Dongjune Kim, Ghadah Alhawael, David N. Ku, Aaron Fogelson, Clot Permeability, Agonist Transport, and Platelet Binding Kinetics in Arterial Thrombosis, Biophysical Journal, 2020,119:2102-2115.

79. Shekh Rahman, Aaron Fogelson, Vladimir Hlady, Effects of elapsed time on downstream platelet adhesion following transient exposure to elevated upstream shear forces, 2020, Colloids and Surfaces B: Biointerfaces, 193:111118.

78. Kathryn Link, Matthew Sorrells, Nicholas Danes, Keith Neeves, Karin Leiderman, and Aaron Fogelson A mathematical model of platelet aggregation in an extravascular injury under flow, SIAM Multiscale Modeling and Simulation, 2020, 18, 1489-1524.

77. Anna C. Nelson, James P. Keener, Aaron L. Fogelson, Kinetic model of two monomer polymerization, Physical Review E, 2020, 101(2-1):022501.

76. Kathryn G. Link, Michael T. Stobb, Matthew G. Sorrells, Maria Bortot, Katherine Ruegg, Marilyn J. Manco-Johnson, Jorge A. Di Paola, Suzanne S. Sindi, Aaron L. Fogelson, Karin Leiderman, Keith B. Neeves, A mathematical model of coagulation under flow identifies factor V as a modifier of thrombin generation in hemophilia A, Journal of Thrombosis and Hemostasis, 2020, 18, 306-317.

75. Owen L. Lewis, James P. Keener, Aaron L Fogelson, Electrodiffusion-mediated swelling of a two-phase gel model of gastric mucus, Gels, 2018, 4, 76, doi:10.3390/gels4030076.

74. Kathryn G Link, Michael T Stobb, Jorge A Di Poala, Keith B Neeves, Aaron L Fogelson Suzanne S Sindi, Karin Leiderman, A local and global sensitivity analysis of a mathematical model of coagulation and platelet deposition under flow, PLoS One, 2018, https://doi.org/10.1371/journal.pone.0200917.

73. Varun Shankar, Aaron L. Fogelson, Hyperviscosity-Based Stabilization for Radial Basis Function-Finite Difference (RBF-FD) Discretizations of Advection-Diffusion Equations, Journal of Computational Physics, 2018, 372, 616-639.

72. Varun Shankar, Robert M. Kirby, Aaron L. Fogelson, Robust Node Generation for Meshfree Discretizations on Irregular Domains and Surfaces, SIAM Journal on Scientific Computing, 2018, 40, A2584-2608.

71. Owen Lewis, James P. Keener, Aaron L. Fogelson, A Physics-based Model for Maintenance of the pH Gradient in the Gastric Mucus Layer, American Journal of Physiology, Gastrointestinal and Liver Physiology, 2017, 313, G599-G612.

70. Brittany E. Bannish, Irina N. Chernysh, James P. Keener, Aaron L. Fogelson, John W. Weisel Molecular and Physical Mechanisms of Fibrinolysis and Thrombolysis from Mathematical Modeling and Experiments, Scientific Reports, 2017, 7(1):6914. doi:10.1038/s41598-017-06383-w.

69. J. Du and A.L. Fogelson, A two-phase mixture model of platelet aggregation, Mathematical Biology and Medicine, 2018, 35, 225-256. doi: 10.1093/imammb/dqx001. Selected as best paper of 2016-2017 in MMB.

68. R.M. Schoeman, K. Rana, N. Danes, M. Lehmann, J.A. Di Paola, A.L. Fogelson, K. Leiderman, K.B. Neeves, A microfluidic model of hemostasis sensitive to platelet function and coagulation, Cellular and Molecular Bioengineering, 2017, 10, 3-15. Selected as best paper of 2017 in CMBE.

67. Bethany L. Walton, Marcus Lehmann, Tyler Skorczewski, Joan D. Beckman, Lori A. Holle, Jeremy A. Cribb, Micah J. Mooberry, Adam R. Wufsus, Brian C. Cooley, Jonathan W. Homeister, Michael R. Falvo, Aaron L. Fogelson, Keith B. Neeves, Alisa S. Wolberg, Elevated hematocrit promotes arterial thrombosis, Blood, 2017, 129, 2537-2546.

66. Priscilla Elizondo, Aaron L. Fogelson, A model of venous thrombosis initiation, Biophysical Journal, 2016, 111, 2722-2734.

65. Colin D. Eichinger, Aaron L. Fogelson, Vladimir Hlady, Functional assay of antiplatelet drugs based on margination of platelets in flowing blood, Biointerphases, 2016, 11, 029805.

64. Karin Leiderman, William Chang, Mikhail Ovanesov, Aaron L. Fogelson, Synergy Between Tissue Factor and Factor XIa in Initiating Coagulation, Arteriosclerosis, Thrombosis, and Vascular Biology, 2016, 36, 2334-2345.

63. Victor Camacho, Aaron L. Fogelson, James P. Keener, Eulerian-Lagrangian Treatment of Non-dilute Two-phase Gels, SIAM Journal on Applied Mathematics, 2016, 76, 341-367.

62. Varun Shankar, Grady B. Wright, Robert M. Kirby, Aaron L. Fogelson, Augmenting the Immersed Boundary Method with Radial Basis Functions (RBFs) for the modeling of platelets in hemodynamic flows, International Journal of Numerical Methods for Fluids, 2015, 79, 536-557.

61. Aaron L. Fogelson, James P. Keener, A Framework for Exploring the Post-gelation Behavior of Ziff and Stells Polymerization Models, SIAM Journal on Applied Mathematics, 2015, 75, 1346-68.

60. Qinghai Zhang, Aaron L. Fogelson, MARS: An analytic framework of interface tracking via mapping and adjusting regular semi-algebraic sets, 2015, SIAM Journal on Numerical Analysis, 2016, 54, 530-560.

59. Varun Shankar, Grady B. Wright, Robert M. Kirby, Aaron L. Fogelson, A Radial Basis Function (RBF)-Finite Difference (FD) Method for Diffusion and Reaction-Diffusion Equations on Surfaces, Journal of Scientific Computing, 2016, 63, 745-768.

58. Aaron L. Fogelson, Keith B. Neeves, Fluid Mechanics of Blood Clotting, Annual Review of Fluid Mechanics, 2015, 47, 377-403.

57. Karin Leiderman, Aaron L. Fogelson, An Overview of Mathematical Modeling of Thrombus Formation Under Flow, Thrombosis Research, 2014, 133 Suppl 1, S12-14.

56. Qinghai Zhang, Aaron L. Fogelson, Fourth-order interface tracking by an improved polygonal area mapping (iPAM) method, SIAM Journal of Scientific Computing, 2014, 36, A2369-A2400.

55. Varun Shankar, Grady B. Wright, Aaron L. Fogelson, Robert M. Kirby, A Radial Basis Function (RBF)-Finite Difference Method for the Simulation of Reaction-Diffusion Equations on Stationary Platelets within the Augmented Forcing Method, International Journal of Numerical Methods for Fluids, 2014, 75, 1-22.

54. A.A. Onasoga, K. Leiderman, A. L. Fogelson, M. Wang, M.U. Manco-Johnson, J.A. DiPaola, K.B. Neeves, The role of factor VIII and factor VIIa bypass treatment in modulating the dynamics of thrombin and fibrin generation under flow, PLOS One, 2013, 8(11), e75732.

53. Tyler Skorczewski, Boyce Griffith Aaron L. Fogelson, Multi-bond Models for Platelet Adhesion and Cohesion, Contemporary Mathematics, 2014, 628, 149-173.

52. Jian Du, Robert D. Guy, Aaron L. Fogelson, An Immersed Boundary Method for Two-fluid Mixtures, Journal of Computational Physics, 2014, 262, 231-243.

51. Tyler Skorczewski, Lindsay Crowl Erickson, and Aaron L. Fogelson, Platelet Motion near a Vessel Wall or Thrombus Surface in Two-dimensional Whole Blood Simulations, Biophysical Journal, 2013, 104(8), 1764-72

Selected by editors as a `New and Notable article.

50. Jian Du, Robert D. Guy, Aaron L. Fogelson, Grady B. Wright, and James P. Keener, `An Interface-capturing Regularization Method for Solving the Equations for Two-fluid Mixtures, Communications in Computational Physics, 2013, 14(5), 1322-1346.

49. Sarthok Sircar, James P. Keener, and Aaron L. Fogelson, The Effect of Divalent vs. Monovalent ions cd on the Swelling of Mucin-like Polyelectrolyte Gels: Governing Equations and Equilibrium Analysis, Journal of Chemical Physics, (2013) 138(1):014901.

48. Karin M. Leiderman and Aaron L. Fogelson, The Influence of Hindered Transport on the Development of Platelet Thrombi Under Flow, Bulletin of Mathematical Biology, 75, (2013) 1255-1283.

47. Brittney E. Bannish, James P. Keener, and Aaron L. Fogelson, `Modeling Fibrinolysis: A 3-Dimensional Stochastic Multiscale Model, Mathematical Medicine and Biology, 31, (2014) 17-44.

46. Brittney E. Bannish, James P. Keener, Michael Woodbury, John W. Weisel, and Aaron L. Fogelson, Modeling Fibrinolysis: 1-Dimensional Continuum Models, Mathematical Medicine and Biology, 31, (2014) 45-64.

45. Varun Shankar, Grady B. Wright, Robert M. Kirby, and Aaron L. Fogelson, A Study of Different Modeling Choices for Simulating Platelets Within the Immersed Boundary Method, Applied Numerical Mathematics, 63, (2013) 58-77.

44. Jian Du, James P. Keener, Robert D. Guy, and Aaron L. Fogelson, Low Reynolds-number Swimming in Viscous Two-Phase Fluids, Physical Review E, 85, 036304 (2012).

43. Aaron L. Fogelson, Yasmeen H. Hussain, and Karin M. Leiderman, Blood Clot Formation Under Flow: The Importance of Factor XI on Thrombin Production Depends Strongly on Platelet Count, Biophysical Journal, 102, (2012) 10-18. Article highlighted by journal editors.

42. Grady B. Wright, Robert D. Guy, Jian Du, and Aaron L. Fogelson, A high-resolution finite-difference method for simulating two-fluid, viscoelastic gel dynamics, Journal of Non-Newtonian Fluid Mechanics, 166, (2011) 1137-1157.

41. Lingxing Yao and Aaron L. Fogelson, Simulations of Chemical Transport and Reaction in a Suspension of Cells I: An Augmented Forcing Point Method for the Stationary Case, International Journal of Numerical Methods for Fluids, 2011, DOI 0.1002/fld.2661

40. James P. Keener, Sarthok Sircar, and Aaron L. Fogelson, The Influence of the Standard Free Energy on Swelling Kinetics of Gels, Physical Review E, 83, 041802, (2011).

39. James P. Keener, Sarthok Sircar, and Aaron L. Fogelson, Kinetics of Swelling Gels, SIAM Journal on Applied Mathematics, 71, (2011), 854-875.

38. Lindsay M. Crowl and Aaron L. Fogelson, Analysis of Mechanisms for Platelet Near-wall Excess Under Arterial Blood Flow Conditions, Journal of Fluid Mechanics, 676, (2011) 348-375.

37. Aaron L. Fogelson and James P. Keener, Toward an understanding of fibrin branching structure, Physical Review E, 81, 051922 (2010).

36. Karin M. Leiderman and Aaron L. Fogelson, Grow with the Flow: A spatial-temporal model of coagulation and platelet deposition under flow, Mathematical Medicine and Biology, 28, (2011) 47-84. Winner 2010 SIAM Student Paper Prize

35. Jian Du and Aaron L. Fogelson, A Cartesian Grid Method for Two-Phase Gel Dynamics on Irregular Domains, International Journal for Numerical Methods in Fluids, 67, (2011) 1799-1817.

34. Lindsay M. Crowl and Aaron L. Fogelson, Computational Model of Whole Blood Exhibiting Lateral Platelet Motion Induced by Red Blood Cells, International Journal for Numerical Methods in Biomedical Engineering, 26, 2010 471-487.

33. Jian Du and Grady Wright and Aaron L. Fogelson, A Parallel Computational Method for Simulating Two-Phase Gel Dynamics, International Journal for Numerical Methods in Fluids, 60, 2009, 633-649.

32. Grady B. Wright, Robert D. Guy, and Aaron L. Fogelson, An Efficient and Robust Method for Simulating Two-Phase Gel Dynamics, SIAM Journal on Scientific Computing, 30, 2008, 2535-2565.

31. Karin M. Leiderman and Laura A. Miller, and Aaron L. Fogelson, The Effects of Spatial Inhomogeneities on Flow Through the Endothelial Surface Layer, Journal of Theoretical Biology, 252, 2008, 313-325.

30. Elijah P. Newren, Aaron L. Fogelson, Robert D. Guy, and Robert M. Kirby, A Comparison of Implicit Solvers for the Immersed Boundary Equations, Computer Methods in Applied Mechanics and Engineering, 197, (2008), 2290-2304.

29. Robert D. Guy and Aaron L. Fogelson, A Wave-Propagation Algorithm for Viscoelastic Fluids with Spatially and Temporally Varying Properties, Computer Methods in Applied Mechanics and Engineering, 197, (2008), 2250-2264.

28. Aaron L. Fogelson and Robert D. Guy, Immersed-Boundary-Type Models of Intravascular Platelet Aggregation, Computer Methods in Applied Mechanics and Engineering, 197, (2008), 2087-2104.

27. Elijah P. Newren, Aaron L. Fogelson, Robert D. Guy, and Robert M. Kirby, Unconditionally-stable discretizations of the Immersed Boundary Method, Journal of Computational Physics, 222, (2007), 702-719.

26. Robert D. Guy, Aaron L. Fogelson, and James P. Keener, Fibrin gel formation in a shear flow, Mathematical Medicine and Biology, 24, (2007), 111-130.

25. Aaron L. Fogelson and Nessy Tania, Coagulation under flow: The influence of flow-mediated transport on the initiation and inhibition of coagulation, Pathophysiology of Haemostasis and Thrombosis, 34, (2005), 91-108.

24. Robert D. Guy and Aaron L. Fogelson, Stability of Approximate Projection Methods on Cell-Centered Grids, Journal of Computational Physics, 203, (2005), 517-538.

23. Aaron L. Fogelson and Robert D. Guy, Platelet-Wall Interactions in Continuum Models of Platelet Aggregation: Formulation and Numerical Solution, Mathematical Medicine and Biology, 21, (2004), 293-334.

22. Chung-Seon Yi, Aaron L. Fogelson, James P. Keener, and Charles S. Peskin, A Mathematical Study of Volume Shifts and Ionic Concentration Changes During Ischemia and Hypoxia, Journal of Theoretical Biology, 220, (2002), 83-106.

21. Robert D. Guy and Aaron L. Fogelson, Probabilistic Modeling of Platelet Aggregation: Effects of Activation Time and Receptor Occupancy, Journal of Theoretical Biology, 219, (2002) 33-53.

20. Andrew L. Kuharsky and Aaron L. Fogelson, Surface-mediated Control of Blood Coagulation: The Role of Binding Site Densities and Platelet Deposition, Biophysical Journal, 80, (2001), 1050-1074. Selected by editors as `New and Noteworthy Article.

19. Aaron L. Fogelson and James P. Keener, Immersed Interface Methods for Neumann and Related Problems in Two and Three Dimensions, SIAM Journal on Scientific Computing, 22, (2000), 1630-1654.

18. Nien-Tzu Wang and Aaron L. Fogelson, Computational Methods for Continuum Models of Platelet Aggregation, Journal on Computational Physics, 151, (1999), 649-675.

17. Daniel Grunbaum, David J. Eyre, and Aaron L. Fogelson, Functional geometry of ciliated tentacular arrays in active suspension feeders, Journal of Experimental Biology, 201, (1998), 2575-2589.

16. Aaron L. Fogelson and Andrew L. Kuharsky, Membrane Binding-site Density Can Modulate Activation Thresholds in Enzyme Systems, Journal of Theoretical Biology, 193, (1998), 1-18.

15. Robert H. Dillon, Lisa J. Fauci, Aaron L. Fogelson, and Donald P. Gaver, Modeling Biofilm Processes Using the Immersed Boundary Method, Journal of Computational Physics, 129, (1996), 57-73.

14. Aaron L. Fogelson and Nien-Tzu Wang, Platelet Dense Granule Centralization and the Persistence of ADP Secretion, American Journal of Physiology, 270, (1996) (Heart Circ. Physiol. 39): H1131-H1140.

13. Aaron L. Fogelson and Robert H. Dillon, Optimal Smoothing in Function-transport Particle Methods for Diffusion Problems, Journal of Computational Physics, 109, (1993), 155-163.

12. Victor H. Moll and Aaron L. Fogelson, Activation Waves in a Model of Platelet Aggregation: Existence of Solutions and Stability of Traveling Fronts, Journal of Mathematical Biology, 31, (1993), 675-701.

11. Lisa J. Fauci and Aaron L. Fogelson, Truncated Newton Methods and the Modeling of Complex Immersed Elastic Structures, Communications on Pure and Applied Mathematics, 46, (1993), 787-818.

10. Aaron L. Fogelson, Continuum Models of Platelet Aggregation: Mechanical Properties and Chemically-induced Phase Transitions, Fluid Dynamics in Biology, (A.Y. Cheer and C.P. van Dam, Eds.), Contemporary Mathematics Series, American Mathematical Society, Providence, RI, 1993.

9. Aaron L. Fogelson, Continuum Models of Platelet Aggregation: Formulation and Mechanical Properties, SIAM Journal of Applied Mathematics, 52, (1992), 1089-1110.

8. Aaron L. Fogelson, Particle-Method Solution of Two-Dimensional Convection-Diffusion Equations, Journal of Computational Physics, 100, (1992), 1-16.

7. Tamar Schlick and Aaron L. Fogelson, TNPACK - A Truncated Newton Minimization Package for Large-Scale Problems: II. Implementation Examples, ACM Transactions on Mathematical Software, 18, (1992), 71-111.

6. Tamar Schlick and Aaron L. Fogelson, TNPACK - A Truncated Newton Minimization Package for Large-Scale Problems: I. Algorithm and Usage. This is both a paper and a software package, ACM Transactions on Mathematical Software, 18, (1992), 46-70.

5. Aaron L. Fogelson and Charles S. Peskin, A Fast Numerical Method for Solving the Three-dimensional Stokes Equations in the Presence of Suspended Particles, Journal of Computational Physics, 79, (1988), 50-69.

4. Luca Lando, Aaron L. Fogelson, Robert S. Zucker, Can Presynaptic Depolarization Release Transmitter Without Calcium Influx? Journal of Physiology, Paris, 81, (1986), 237-245.

3. Robert S. Zucker and Aaron L. Fogelson, Relationship Between Transmitter Release and Presynaptic Calcium Influx When Calcium Enters Through Discrete Channels, Proceedings of the National Academy of Science, 83, (1986), 3032-3036.

2. Aaron L. Fogelson and Robert S. Zucker, Presynaptic Calcium Diffusion from Various Arrays of Single Channels: Implications for Transmitter Release and Synaptic Facilitation, Biophysical Journal, 48, (1985), 1003-1017.

1. Aaron L. Fogelson, A Mathematical Model and Numerical Method for Studying Platelet Adhesion and Aggregation Adhesion and Aggregation During Blood Clotting, Journal of Computational Physics, 56, (1984), 111-134.

Book Chapters

4. Aaron L. Fogelson, `Mathematical Modeling of Blood Clotting', in Encyclopedia of Applied and Computational Mathematics, Springer, 2015.

3. Aaron L. Fogelson, `Cell-based Models of Blood Clotting', in Single Cell Based Models in Biology and Medicine, A. Anderson, M. Chaplain, and K. Rejniak (eds), Birkhauser, 2007.

2. Aaron L. Fogelson}, Haoyu Yu, and Andrew L. Kuharsky, `Computational Modeling of Blood Clotting: Coagulation and Three-dimensional Platelet Aggregation', in Polymer and Cell Dynamics: Multicsale Modeling and Numerical Simulations, Alt et al (Editors), Birkhaeuser-Verlag, Basel, 2003.

1. Victor H. Moll and Aaron L. Fogelson, `Activation Waves and Threshold Phenomena in Platelet Aggregation', Partial Differential Equations} (J.Weiner and J.Hale, Eds. Longman Scientific and Technical, Essex, England, 1992.

Proceedings

5. Carleton DeTar, et al., `Computational Engineering and Science Program at the University of Utah', Proceedings of the 2001 International CES conference, San Francisco, May, 2001.

4. C. Peskin, D. McQueen, et al. `Mathematical Models in Physiology', Proc. Of Conference on Technological Advances in Models for Biomedical Research (EMBS/IEEE),} Boston, Nov. 1987.

3. Aaron L. Fogelson and Charles S. Peskin, `Numerical Solution of the 3D Stokes' Equations in the Presence of Suspended Particles,' Proceedings of the SIAM Multiphase Flow Workshop, Leesburg, VA June 1986.

2. Aaron L. Fogelson, `Mathematical and Computational Aspects of Blood Clotting,' Proceedings of the 11th IMACS World Congress, Oslo, Norway, 1985.

1. Aaron L. Fogelson, `A Mathematical Model and Numerical Study of Platelet Aggregation During Blood Clotting,' Lectures in Applied Mathematics, 22, Large-scale Computations in Fluid Mechanics, Proceedings of the 15th AMS-SIAM Summer Seminar on Applied Math., Scripps Institute of Oceanography, 1983, Vol. 1, pp. 119-148, American Mathematical Society, Providence, RI, 1985.

Other Publications

6. Aaron L. Fogelson, Nathan Hancock, James P. Keener, Rustem I. Litvinov, and John W. Weisel, `Modeling Molecular Bond Breaking Under Dynamic Forcing as a Stochastic Process', 2004, preprint

5. David J. Eyre and Aaron L. Fogelson, `IBIS: Immersed Boundary and Interface Software Users Guide', http://www.math.utah.edu/IBIS

4. David J. Eyre and Aaron L. Fogelson, `IBIS: Immersed Boundary and Interface Software Package', http://www.math.utah.edu/IBIS

3. Aaron L. Fogelson, `Expansion Behavior of Filtration Media', Technical Report to EIMCO Process Equipment Company, November, 1994.

2. Tamar Schlick and Aaron L. Fogelson, TNPACK software package.

1. Aaron L. Fogelson, `A Mathematical Model and Numerical Method for Studying Platelet Adhesion and Aggregation in the Early Stages of Blood Clotting,' Ph.D. thesis, New York University, 1982.