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

TL;DR

This paper introduces a stochastic Fokker-Planck framework to optimize personalized combination therapies for colon cancer by modeling tumor-immune dynamics and validating with numerical results.

Contribution

It presents a novel stochastic modeling approach using the Fokker-Planck equation for optimizing colon cancer therapies, integrating chemotherapy and immunotherapy.

Findings

Validated framework with numerical results

Optimized combination therapies involving Doxorubicin and IL-2

Demonstrated effectiveness of the stochastic control approach

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.