English

Optimal personalized therapies in colon-cancer induced immune response using a Fokker-Planck framework

Optimization and Control 2022-09-09 v1

Abstract

In this paper, a new stochastic framework to determine optimal combination therapies in colon cancer-induced immune response is presented. The dynamics of colon cancer is described through an It\"o stochastic process, whose probability density function evolution is governed by the Fokker-Planck equation. An open-loop control optimization problem is proposed to determine the optimal combination therapies. Numerical results with combination therapies comprising of the chemotherapy drug \ind{Doxorubicin} and immunotherapy drug IL-2 validate the proposed framework.

Keywords

Cite

@article{arxiv.2209.03812,
  title  = {Optimal personalized therapies in colon-cancer induced immune response using a Fokker-Planck framework},
  author = {Souvik Roy and Suvra Pal},
  journal= {arXiv preprint arXiv:2209.03812},
  year   = {2022}
}