Dr. Nilay Mondal

@iutripura.edu.in

Assistant Professor, Department of Mathematics
The ICFAI University Tripura

Dr. Nilay Mondal


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https://researchid.co/nilaymondal

EDUCATION

Ph.D. in Mathematics

RESEARCH, TEACHING, or OTHER INTERESTS

Modeling and Simulation, Computational Mathematics, Drug Guides, Biophysics
5

Scopus Publications

36

Scholar Citations

3

Scholar h-index

2

Scholar i10-index

Scopus Publications

  • A Model for Reversible Electroporation to Deliver Drugs into Diseased Tissues
    Nilay Mondal, D. C. Dalal
    Journal of Membrane Biology, 2024
    Drug delivery through electroporation could be highly beneficial for the treatment of different types of diseased tissues within the human body. In this work, a mathematical model of reversible tissue electroporation is presented for injecting drug into the diseased cells. The model emphasizes the tissue boundary where the drug is injected as a point source. In addition, the effect of drug loss at tissue boundaries through extracellular space is studied elaborately. Multiple pulses are applied to deliver a sufficient amount of drug into the targeted cells. The set of differential equations that model the physical circumstances are solved numerically. This model obtains a mass transfer coefficient (MTC), in terms of pore fraction coefficient and drug permeability that controls the drug transport from extracellular to intracellular space. The drug penetration throughout the tissue is captured for the application of different pulses. The boundary effects on drug concentration are highlighted in this study. The advocated model is able to perform homogeneous drug transport into the cells so that the affected tissue is treated completely. This model can be applied to optimize clinical experiments by avoiding the lengthy and costly in vivo and in vitro experiments.
  • Modelling of reversible tissue electroporation and its thermal effects in drug delivery
    Nilay Mondal, D.C. Dalal
    European Journal of Pharmaceutics and Biopharmaceutics, 2023
  • Enhanced Drug Uptake on Application of Electroporation in a Single-Cell Model
    Nilay Mondal, K. S. Yadav, D. C. Dalal
    Journal of Membrane Biology, 2023
  • A mathematical model of drug dynamics in an electroporated tissue
    Nilay Mondal, , Koyel Chakravarty, D. C. Dalal, and
    Mathematical Biosciences and Engineering, 2021
    <abstract><p>In order to overcome the obstruction of cell membranes in the path of drug delivery to diseased cells, the applications of electric pulses of adequate potency are designated as electroporation. In the present study, a mathematical model of drug delivery into the electroporated tissue is advocated, which deals with both reversibly and irreversibly electroporated cells. This mathematical formulation is manifested through a set of differential equations, which are solved analytically, and numerically, according to the complexity, with a pertinent set of initial and boundary conditions. The time-dependent mass transfer coefficient in terms of pores is used to find the drug concentrations through reversibly and irreversibly electroporated cells as well as extracellular space. The effects of permeability of drug, electric field and pulse period on drug concentrations in extracellular and intracellular regions are discussed. The threshold value of an electric field ($ E > 100 $ V cm$ ^{-1} $) to initiate drug uptake is identified in this study. Special emphasis is also put on two cases of electroporation, drug dynamics during ongoing electroporation and drug dynamics after the electric pulse period is over. Furthermore, all the simulated results and graphical portrayals are discussed in detail to have a transparent vision in comprehending the underlying physical and physiological phenomena. This model could be useful to various clinical experiments for drug delivery in the targeted tissue by controlling the model parameters depending on the tissue condition.</p></abstract>
  • Mathematical modeling of drug delivery in tissue cells using electroporation
    Nilay Mondal, Koyel Chakravarty, D. C. Dalal
    Aip Conference Proceedings, 2018
    Nowadays, electroporation is widely used to deliver drug in different parts of the human body. In electroporation, long time low voltage electric pulses are used to transport drug molecules into the cell through the cell membrane. A mathematical model of drug delivery into the electroporated cells is advocated in the current study which deals with both reversible and irre-versible cells. Furthermore, the model depicts temperature change in the tissue as an outcome of electroporation due to the effect of an electric pulse. This leads to a set of ordinary differential equations and a system of partial differential equations which are solved numerically with appropriate initial and boundary conditions. Drug distribution in both reversible and irreversible cells are illustrated through graphical representations which help in the apprehension of the underlying physical phenomena. Temporal change in the electroporated tissue temperature is also noted analytically.

RECENT SCHOLAR PUBLICATIONS

  • Global Assembly for Mathematical Modeling and Analysis (GAMMA)-2025
    R Das, N Mondal
    2025
    Citations: 2
  • A model for reversible electroporation to deliver drugs into diseased tissues
    N Mondal, DC Dalal
    The Journal of Membrane Biology 257 (5), 365-376 , 2024
    2024
  • Modelling of reversible tissue electroporation and its thermal effects in drug delivery
    N Mondal, DC Dalal
    European Journal of Pharmaceutics and Biopharmaceutics 190, 47-57 , 2023
    2023
    Citations: 10
  • Enhanced drug uptake on application of electroporation in a single-cell model
    N Mondal, KS Yadav, DC Dalal
    arXiv preprint arXiv:2208.04689 , 2022
    2022
    Citations: 13
  • Mathematical Modelling of Drug Delivery in Tissue Cells by Electroporation
    N Mondal
    2022
  • A mathematical model of drug dynamics in an electroporated tissue
    N Mondal, K Chakravarty, DC Dalal
    Mathematical Biosciences and Engineering 18 (6), 8641-8660 , 2021
    2021
    Citations: 9
  • Mathematical modeling of drug delivery in tissue cells using electroporation
    N Mondal, K Chakravarty, DC Dalal
    AIP Conference Proceedings 1975 (1), 030017 , 2018
    2018
    Citations: 2

MOST CITED SCHOLAR PUBLICATIONS

  • Enhanced drug uptake on application of electroporation in a single-cell model
    N Mondal, KS Yadav, DC Dalal
    arXiv preprint arXiv:2208.04689 , 2022
    2022
    Citations: 13
  • Modelling of reversible tissue electroporation and its thermal effects in drug delivery
    N Mondal, DC Dalal
    European Journal of Pharmaceutics and Biopharmaceutics 190, 47-57 , 2023
    2023
    Citations: 10
  • A mathematical model of drug dynamics in an electroporated tissue
    N Mondal, K Chakravarty, DC Dalal
    Mathematical Biosciences and Engineering 18 (6), 8641-8660 , 2021
    2021
    Citations: 9
  • Global Assembly for Mathematical Modeling and Analysis (GAMMA)-2025
    R Das, N Mondal
    2025
    Citations: 2
  • Mathematical modeling of drug delivery in tissue cells using electroporation
    N Mondal, K Chakravarty, DC Dalal
    AIP Conference Proceedings 1975 (1), 030017 , 2018
    2018
    Citations: 2
  • A model for reversible electroporation to deliver drugs into diseased tissues
    N Mondal, DC Dalal
    The Journal of Membrane Biology 257 (5), 365-376 , 2024
    2024
  • Mathematical Modelling of Drug Delivery in Tissue Cells by Electroporation
    N Mondal
    2022