Publications

 Asif Ikbal, Prashanta Kumar Mandal, Sarifuddin (2023), “Mathematical Studies of non-Newtonian blood flow through a patient-specific atherosclerotic artery”,  Journal of Applied Nonlinear Dynamics  12(3) (2023) 441--451 | DOI:10.5890/JAND.2023.09.002

Das Prosanjit,  Sarifuddin, Rana, J.  and Mandal, P.K (2022),  "Unsteady solute dispersion in presence of reversible and irreversible reactions",  Proceedings of the Royal Society  A : Mathematical, Physical and Engineering Sciences , 478: 20220127-20220127,http:// doi.org /10.1098/rspa.2022.0127.

 Akash Pradip Mandal  and  Prashanta Kumar Mandal (2022), "Two phase drug binding in three different states following STENT implantation", in  Computational simulation and technique inDr. Abhijit Paul mathematical and environmental modelling:  NOVA publications: Editors: Dr. Sharadia Dey, Dr. Sabyasachi Mondal and Dr. Abhijit Paul.

 Amit Mondal, G C Shit, S Majhi and  Prashanta Kumar Mandal (2022) Combined effects of temperature-dependent properties and magnetic field on electro-osmotic mobility at arbitrary zeta potentials, Waves in Random and Complex Media, DOI: 10.1080/17455030.2022.2113929.

Sayantan Biswas, Sarifuddin and Prashanta Kumar Mandal (2022), “Unsteady transport and two-phase binding of a drug in an atherosclerotic artery”  Physics of Fluids 34, 041905, https://doi.org/10.1063/5.0086963 .

 Akash Pradip Mandal  and  Prashanta Kumar Mandal (2022), "Two-phase binding of drug in a  three-layered arterial wall following stent implantation"  Physica Scripta, online 25 February 2022.

Sayantan Biswas, Sarifuddin and Prashanta Kumar Mandal (2021), “An unsteady analysis of two-phase binding of drug in an asymmetric stenosed vessel” Biomedical Physics & Engineering Express, http://iopscience.iop.org/article/10.1088/2057-1976/ac3d9b.

 Akash Pradip Mandal  and  Prashanta Kumar Mandal (2021), "Specific and non-specific binding of drug eluted from a half-embedded  stent in presence of  atherosclerotic plaque"Computer Methods in Biomechanics and Biomedical Engineering,  https://doi.org/10.1080/ 10255842.2021. 1986813.

 Sayantan Biswas, Sarifuddin and Prashanta Kumar Mandal (2021), “Arterial pharmacokinetics in a patient-specific atherosclerotic artery-a simulation study"  GANIT J. Bangladesh Math. Soc. 41.1 (2021) 62–77, DOI: https://doi.org/10.3329/ganit.v41i1.55027

 Das Prosanjit,  Sarifuddin, Rana, J.  and Mandal, P.K (2021), "Unsteady analysis of solute dispersion in Casson fluid flow through stenotic tube with exchange between phases" Physics of Fluids 33, 061907; https://doi.org/10.1063/5.0052770 .

 Alsemiry, R.D.,  Sarifuddin , Mandal, P.K., Sayed, H.M.  and  Amin, N. (2021), “  Unsteady analysis on intravenous drug delivery and its uptake in biological tissue” Journal of Applied Nonlinear Dynamics, pp. 531-546 | DOI: 10.5890/JAND.2021.09.012

 Sarifuddin, Reima D. Alsemiry and Prashanta Kumar Mandal (2021), “Effects of coating properties on controlled delivery from an embedded drug-eluting stent: A simulation study,  Journal of Biological Systems, Vol. 29, No. 3 (2021) 687–717, https://dx.doi.org/10.1142/S0218339021500145

 Khan, M. A.,  Ahmed, L,  Mandal, P.K.,  Robert Smith? and  Haque, Mainul (2020), “Modeling the dynamics of pine wilt disease with asymptomatic carrier and optimal control,” Scientific Report, 10, 11412. https://doi.org/10.1038/s41598-020-67090-7.

  Mondal  A., Mandal, P. K.,  Weigand, B. and Nayak  A.   (2020),  “Entropy and heat transfer analysis of EMHD flow with temperature-dependent properties,"  Fluid Dynamics Research,52 065503.

Sarifuddin, Roy, S. and  Mandal, P.K. (2020), “Computational model of stent-based delivery from a half-embedded two-layered coating” , Computer Methods in Biomechanics and Biomedical Engineering,  https://doi.org/10.1080/10255842.2020.1767775.

  Das Prosanjit,  Sarifuddin and Mandal, P.K (2020),  Solute dispersion in Casson fluid flow through a stenosed artery with absorptive wall, Journal of Applied Mathematics and Physics (ZAMP), 71, 100,  https://doi.org/10.1007/s00033-020-01322-8.

 Reima D. Alsemiry, Sarifuddin, Mandal, P.K, Hamed M. Sayed and Norsarahaida Amin (2020), "Numerical solution of blood flow and mass transport in an elastic tube with multiple stenoses", Biomedical Research International, vol. 2020 7609562. 31 Jan. 2020, doi:10.1155/2020/7609562.

Reima D. Alsemiry, Sarifuddin, Mandal, P.K, Hamed M. Sayed and Norsarahaida Amin (2020), “Effects of pulsatility and double stenoses on power law model of blood flow and mass transport in vessel”, JP Journal of Heat and Mass Transfer 19(1):97-128, DOI: 10.17654/HM019010097.

 Mondal, S. , Sibanda, P. , Mandal, P.K.  and Murthy, P.V.S.N. (2019), “Unsteady double-diffusive natural convection in a two-sided lid-driven inclined porous enclosure with sinusoidal boundary conditions with Soret and Dufour effects”, Physics and Chemistry of Liquids,  vol.  57, pp. 349-361.

Sarifuddin and Mandal, P. K. (2018), “ Effect of Interstitial Fluid Flow on Drug-Coated Balloon Delivery in a Patient-Specific Arterial Vessel with Heterogeneous Tissue Composition: A Simulation Study” Cardiovascular Engineering and Technology, vol. 9, pp.  251-267.

Mandal, A. P.  and Mandal, P.K. (2018) “Distribution and retention of drug through an idealised atherosclerotic plaque from half-embedded drug-eluting stent", International Journal of Dynamics and Control, vol. 6, pp.  1183-1193.

Saha, R. and Mandal, P. K. (2018), “Modelling time-dependent release kinetics in a stent-based delivery”, Journal of Exploratory Research in Pharmacology, vol. 3 ,  pp. 61–70.

Saha, R. and Mandal, P. K. (2018) “Effect of flow pulsatility and time-dependent release kinetics on stent-based delivery through atherosclerotic plaque”, International Journal of Dynamics and Control, vol.-6, pp. 1-13.

Mandal, A. P.  and Mandal, P.K. (2017) “Computational Modelling of Three-phase Stent-based Delivery”, Journal of Exploratory Research in Pharmacology, vol. 2, pp. 31–40.

Reddy, JVR,  Srikanth, D. and  Mandal, P.K. (2017) “Computational Hemodynamic Analysis of Flow Through Flexible Permeable Stenotic Tapered Artery”,  International Journal of Applied and Computational Mathematics, vol. 3, pp. 1261-1287.

Saha, R. and Mandal, P. K. (2017) “Effect of interstrut distance on the transport of drug and its retention in the arterial tissue”,International Journal of Applied and Computational Mathematics,  Vol.  3, No. 3, pp 2039–2054.

Mandal, A. P.  and Mandal, P.K. (2017) “On the role of luminal flow and interstrut distance in modelling drug transport from half-embedded drug-eluting stent”, Global Journal of Interdiscipli- nary Research, published January 2017 [Invited Paper].

Mandal, P.K., Sarifuddin and Kolachalama, V. B. (2016) “Computational model of drug-coated balloon delivery in a patient-specific arterial vessel with heterogeneous tissue composition”, Cardiovascular Engineering and Technology, Vol. 7, No. 4, pp. 406–419.

Saha, R., Sarifuddin, Misra, J.C. and Mandal, P. K. (2016) “ Impact of luminal flow on mass transport through coronary arteries : a study relevant to drug-eluting stent”, International Journal of Mathematics and Computation, Vol. 27, Issue No. 3, pp. 40-58.

Mandal, A. P. and  Mandal, P. K. (2016) “Drug elution model of coronary stent: effects of stent embedment and binding of drug”, International Journal of Biomedical Engineering and Technology,  Vol. 20, No. 2, pp. 150-165.

Sarifuddin and Mandal, P. K. (2016) “Effect of diffusivity on the transport of drug eluted from drug-eluting stent”, International Journal of Applied and Computational Mathematics, vol.-2, pp. 291-301.

 Mandal, A. P, Sarifuddin and Mandal, P. K. (2015) “An unsteady analysis of arterial drug transport from half-embedded drug-eluting stent”, Applied Mathematics and Computation, vol.-266, pp.- 968–981.

 Guin, L. N.,  Chakravarty, S.,  Mandal, P.K. (2015 ) “Existence of spatial patterns in reaction-diffusion systems incorporating a prey refuge” Nonlinear Analysis: Modelling and Control, Vol. 20, No. 4, pp. 509-527

 Guin, L. N., Mandal, P.K. (2014) “Effect of prey refuge on spatiotemporal dynamics of reaction -diffusion system”  Computer and Mathematics with Applications, vol. 68, pp. 1325-1340.

Guin, L. N., Mandal, P.K. (2014) “Spatial pattern in a diffusive predator-prey model with sigmoid ratio-dependent functional response, International Journal of Biomathematics, 07, 1450047, DOI: 10.1142/S1793524514500478.

Guin, L. N., Mandal, P.K. (2014) “Spatiotemporal dynamics of reaction-diffusion models of interacting populations” ,Applied Mathematical Modelling, vol.-38, pp. 4417–4427.

Pal, P J, Mandal, P K, Lahiri, K (2013) “A delayed ratio-dependent predator-prey model of interacting populations with Holling type III functional response, Nonlinear Dynamics, vol.-76, pp.-201-220.

Sarwardi,S.,Haque,M.,Mandal, P.K. (2014) “Persistence and global   stability of Bazykin predator-prey model with Beddington De-Angeli response function”,  Communications in Nonlinear Science and Numerical Simulation,  vol.-19, pp. 189-209.

Pal, P J, Mandal, P K (2014) “Bifurcation analysis of a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and strong Allee effect”  Mathematics and Computers in Simulation,  vol.-97, pp. 123-146.

Pal, P J, Haque, M. , Mandal, P K (2014) “Dynamics of a predator-prey model with disease in the predator”, Mathematical Models in the Applied Sciences, vol.-37, pp. 2429–2450.

 Sarwardi, S.,  Mandal, P.K.,  S.Ray (2013) “Dynamical behaviour of a two-predator model with prey refuge”  Journal of Biological Physics, vol.-39, pp. 101-122.

Sarwardi, S.,  Mandal, P.K.,  S.Ray (2012) “Analysis of a competitive prey-predator system with a prey refuge”, Biosystems, vol.- 110, pp. 133-148.

Sarifuddin, Chakravarty, S. and  Mandal, P.K.  (2014)  “Numerical simulation of Casson fluid flow through differently shaped arterial stenoses”  Journal of Applied Mathematics and Physics (ZAMP), vol. - 65, pp 767-782

Sarifuddin , Chakravarty, S.,  Mandal, P.K.  (2013)  “Physiological flow of shear-thinning visco- elastic fluid past an irregular arterial constriction” , Korea – Australia Rheology Journal, vol.-25, pp. 163-174.

 Sarifuddin , Chakravarty, S.,  Mandal, P.K.  (2013)  “Heat Transfer to Micropolar Fluid Flowing Through an Irregular Arterial Constriction” , International Journal of Heat and Mass Transfer, vol.-56, pp. 538–551

 Ikbal, A, Chakravarty, S.,  Mandal P K (2012) “Unsteady Analysis of Viscoelastic Blood Flow through Arterial Stenosis” Chemical Engineering Communications, vol.-199, pp.40-62.

Sarwardi, S., Haque, M.,  Mandal, P.K. (2012) “ Ratio dependent predator-prey model of interacting population with delay effect.”, Nonlinear Dynamics, vol. 69, pp.817–836.

Guin, L.N., Haque, M., Mandal, P.K. (2012) “The spatial pattern through diffusion-driven instability in a predator-prey model”, Applied Mathematical Modelling, vol. 36, pp. 1825-1841.

Pal, P J, Sarwardi, S, Saha, T and Mandal, P K (2011) “Mean Square Stability in a Modified Leslie-Gower and Holling-Type II Predator-Prey Model”  Journal of Applied Mathematics and Informatics, vol.-29, pp. 781-802.

 Ikbal, A, Chakravarty, S., Sarifuddin, Mandal P K (2011) “Numerical Simulation of Mass Transfer to Micropolar Fluid Flow Past a Stenosed Atery” International Journal for Numerical Methods in Fluids, vol. 67, pp. 1655-1676.

 Mustapha, N, Mandal, P.K, Abdullah, I and Amin, N, Hayat, T.  (2011) “ Numerical simulation of generalized Newtonian blood flow past a couple of irregular arterial stenoses”, Numerical Methods for Partial Differential Equations, vol.-7,  pp. 960-981.

 Mustapha, N, Mandal, P.K,  Johnston, P R. and Amin N (2010) “ A numerical simulation of unsteady blood flow through multi-irregular arterial stenosis,” Applied Mathematical Modelling, 34, pp. 1559-1573.

Ikbal.A, Chakravarty, S. and Mandal. P.K. (2009) “Two-layered micropolar fluid flow through stenosed artery: Effect of peripheral layer thickness,” Computer and Mathematics with Applications, vol.-58, pp. 1328-1339.

 Mustapha, N, Chakravarty, S, Mandal, P.K, Amin, N. (2009) “Unsteady Magnetohydro dynamic blood flow through irregular  multi-stenosed arteries”, Computers in Biology and Medicine, vol.-39, pp. 896-906.

 Sarifuddin , Chakravarty, S.,  Mandal, P.K.  (2009) “Effect of Heat and Mass Transfer to Blood Flow-Links to Atherosclerosis” International Journal of Heat and Mass Transfer, vol-52, 5719-5730.

 Sarifuddin , Chakravarty, S.,  Mandal, P.K.  (2009)  “Effect of Asymmetry and Roughness of Stenosis on non-Newtonian Blood Flow Past an Arterial Segment” International Journal of Computational Methods, vol-6, 1-28.

 Ikbal.A, Chakravarty, S.,Wong, K.,Mazumdar, J.and Mandal. P.K. (2009) “Unsteady Response of Non-Newtonian Blood Flow Through a Stenosed Artery in Magnetic Field.” Journal of Computational and Applied Mathematics, vol-230, pp. 243-259.

 Sarifuddin, Chakravarty,S.,Mandal, P. K. and Andersson, H. I. (2009) “Mass Transfer to Blood Flowing Through Arterial Stenosis”, Journal of Applied Mathematics and Physics (ZAMP), vol.- 60, no.-2, pp. 299-323.

 Mustapha, N, Chakravarty, S., Mandal, P.K. and Amin, N. (2008) “Unsteady Response of Blood Flow Through a Couple of Irregular Arterial Constrictions to Body Acceleration”,Journal of Mechanics in Medicine and Biology, vol.-8, no.-3,pp. 395-420.

Sarifuddin, Chakravarty, S., Mandal, P. K. and Layek,G.C. (2008) “Numerical Simulation of Unsteady generalized Newtonian Blood Flow Through Differently Shaped Distensible Arterial Stenoses”,Journal of Medical Engineering and Technology, vol.-32, no.-5, pp.-385-399.

 Ikbal.A,Chakravarty, S. and Mandal. P.K. (2008) “An Unsteady Peristaltic Transport Phenomenon of  Non-Newtonian Fluid-A Generalised Approach”, Applied Mathematics and Computation,  Vol.-201, pp. 16-34.

 Mandal, P. K, Chakravarty, S. and Mandal. A (2007) “Numerical Study on the Unsteady Flow of Non-Newtonian Fluid Through Differently Shaped Arterial Stenoses.” International Journal of Computer Mathematics, Vol.-84,no.-7,pp. 1059–1077.

 Mandal, P.K., Chakravarty, S., Mandal, A and Amin, N (2007) “Effect of Body Acceleration on  Unsteady Pulsatile Flow of Non-Newtonian Fluid Through a Stenosed Artery”,  Applied Mathematics and Computation, vol.–189, no.-1, pp. 766-779.

 Chakravarty, S., Mandal, P. K. and Sarifuddin (2005)“Effect of Surface Irregularities on Unsteady Flow of Blood Past an Irregular Stenosis”, Int. J. Nonlinear Mechanics, vol.-40, no.-10, pp. 1268-1281.

 Mandal, P. K.(2005) “An Unsteady Analysis of Non-Newtonian Pulsatile Flow Through  Tapered Arteries  With a Stenosis”, Int. J.   Nonlinear Mechanics, vol.-40, pp. 151-164.

 Chakravarty, S.,  Sarifuddin and Mandal, P.K. (2004)  “An Unsteady Flow of Two-Layered Blood Stream  Past a Tapered Flexible Artery Under Stenotic Conditions”, Computational Methods in Applied Mathematics ,  vol.-4, no.-4, pp. 391-409.

 Chakravarty, S., Mandal, P.K. and Mandal, A. (2004) “Numerical Simulation of Unsteady Two –Layered  Blood Flow in a Stenosed Flexible Artery :Effect of Peripheral Layer Viscosity”, Mathematical Modelling and Analysis, vol-9, no-2, 99-114.

 Mandal, P.K. (2003) “An Unsteady Analysis of Nonlinear Two—Layered  2D Model of Pulsatile Flow  Through Stenosed Arteries”, Mathematical Modelling and Analysis, vol-8, no-3, 229-246.

 Chakravarty, S., Mandal, P.K. and Mandal. A. (2000)  “Mathematical Model of Pulsatile Blood Flow  in a  Distensible Aortic Bifurcation Subject to Body Acceleration”,  Int. J. Engng. Sci.,38, 215-238 .

 Chakravarty, S. and Mandal, P.K.(2000) “Two--Dimensional Blood Flow Through Tapered Arteries   Under Stenotic Conditions”,  Int. J. Nonlinear. Mechanics, vol.-35, 779--793.

 Chakravarty, S. and Mandal, P.K.(1997) “An Analysis of Pulsatile Flow in a Model Aortic  Bifurcation”,  Int. J. Engng. Sci, vol. 35, no. 4, pp 409 –422.

Chakravarty, S. and Mandal, P.K.(1996) “A Nonlinear Two Dimensional Model of  Blood Flow in   an Overlapping  Arterial Stenosis Subjected to Body Acceleration”,  Mathl. Comput. Modelling,   vol. 24, no. 1, pp 43--58.

 Chakravarty, S., Datta, A . and Mandal, P.K.(1996) “Effect of Body Acceleration on Unsteady Flow of Blood Past a Time-Dependent Arterial Stenosis”, Mathl. Comput. Modelling, vol. 24, no. 2, pp 57 - 74.

 Chakravarty, S., Datta, A . and Mandal, P.K.(1995) “Analysis of Nonlinear Blood Flow in a Stenosed Flexible  Artery”  Int. J. Engng. Sci,  vol. 12, no. 33, pp 1821--1837.

 Chakravarty, S. and Mandal, P. K.(1994) “Mathematical Modelling of Blood Flow Through an   Overlapping Arterial Stenosis”, Mathl. Comput. Modelling, vol. 19, no. 1, pp 59--70.