Abstract

In the talk, a model of two delay differential equations is first proposed to describe how a tissue copes with the aberrant behavior of mutant cells. Based on the proposed model, we performed qualitative analysis to identify the conditions of either normal tissue homeostasis or uncontrolled growth with varying numbers of abnormal mutant cells. Bifurcation analysis suggests the conditions of bistability with either a small or large number of mutant cells, the coexistence of bistable steady states can be clinically beneficial by driving the state of mutant cell predominance to the attraction basin of the state with a low number of mutant cells. Based on corresponding ODE model, we further considered the treatment strategy obtained from optimal control theory.

Speaker Intro

Haifeng Zhang obtained Ph.D. degree from Department of Mathematical Sciences at Tsinghua University, China in 2023. Currently, he is a lecturer in School of Mathematical Sciences, Jiangsu University. His current research interests include mathematical biology, differential equations, and control theory.