Stochastic and parameter analysis for an integrative cancer model

TL;DR

This paper investigates how stochastic fluctuations affect an integrative cancer model combining cell differentiation and immunotherapy, revealing how noise influences cancer cell dynamics and therapy outcomes.

Contribution

It introduces a stochastic analysis of an existing cancer model, examining the effects of demographic and multiplicative noise on cancer cell behavior and therapy efficacy.

Findings

Cancer cell populations decrease under certain noise conditions

Noise intensity impacts the effectiveness of immunotherapy

Model dynamics vary with different parameter and noise levels

Abstract

In a previous work, we presented a model that integrates cancer cell differentiation and immunotherapy, analysing a particular therapy against cancer stem cells by cytotoxic cell vaccines. As every biological system is exposed to random fluctuations, it is important to study its stochasticity. The influence of demographic and multiplicative noise in the system is carry out on the parameters of reproduction and death in cancer cells. On the other hand, we incorporated fluctuations by adding multiplicative noise. In both cases, we analysed the dynamics for different values of the parameters involved. The final amount of cancer cells decreases for different combinations of these parameters and noise intensity is found.