Tumor stabilization induced by T-cell recruitment fluctuations
Abstract
The influence of random fluctuations on the recruitment of effector cells towards a tumor is studied by means of a stochastic mathematical model. Aggressively growing tumors are confronted against varying intensities of the cell-mediated immune response for which chaotic and periodic oscillations coexist together with stable tumor dynamics. A thorough parametric analysis of the noise-induced transition from this oscillatory regime to complete tumor dominance is carried out. A hysteresis phenomenon is uncovered, which stabilizes the tumor at its carrying capacity and drives the healthy and the immune cell populations to their extinction. Furthermore, it is shown that near a crisis bifurcation such transitions occur under weak noise intensities. Finally, the corresponding noise-induced chaos-order transformation is analyzed and discussed in detail.
Cite
@article{arxiv.1911.04329,
title = {Tumor stabilization induced by T-cell recruitment fluctuations},
author = {Irina Bashkirtseva and Lev Ryashko and Álvaro G. López and Jesus M. Seoane and Miguel A. F. Sanjuán},
journal= {arXiv preprint arXiv:1911.04329},
year = {2020}
}