A Cellular Automata Model of Oncolytic Virotherapy in Pancreatic Cancer

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Abstract

Oncolytic virotherapy is known as a new treatment to employ less virulent viruses to specifically target and damage cancer cells. This work presents a cellular automata model of oncolytic virotherapy with an application to pancreatic cancer. The fundamental biomedical processes (like cell proliferation, mutation, apoptosis) are modeled by the use of probabilistic principles. The migration of injected viruses (as therapy) is modeled by diffusion through the tissue. The resulting diffusion–reaction equation with smoothed point viral sources is discretized by the finite difference method and integrated by the IMEX approach. Furthermore, Monte Carlo simulations are done to quantitatively evaluate the correlations between various input parameters and numerical results. As we expected, our model is able to simulate the pancreatic cancer growth at early stages, which is calibrated with experimental results. In addition, the model can be used to predict and evaluate the therapeutic effect of oncolytic virotherapy.

Original languageEnglish
Article number103
Pages (from-to)1-25
Number of pages25
JournalBulletin of Mathematical Biology
Volume82
Issue number8
DOIs
Publication statusPublished - 2020

Keywords

  • Cancer treatment
  • Cellular automata
  • Computational modeling
  • Monte Carlo simulations
  • Virotherapy

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