A Mathematical Model of the Cell Cycle: Exploring the Impact of Zingerone on Cancer Cell Proliferation

TL;DR

This paper develops a mathematical model of the cell cycle focusing on CDK1-APC interactions, analyzing how Zingerone influences cancer cell proliferation and oscillatory dynamics for potential therapeutic benefits.

Contribution

It introduces a novel dynamical system model of the CDK1-APC network and investigates Zingerone's effect on cell cycle oscillations and proliferation.

Findings

Zingerone modulates the period of cell cycle oscillations.

The model predicts Zingerone's potential to inhibit cancer cell proliferation.

Experimental validation supports the theoretical predictions.

Abstract

This paper presents a mathematical model that explores the interactions between Cyclin-Dependent Kinase 1 (CDK1) and the Anaphase-Promoting Complex (APC) in cancer cells. Through the analysis of a dynamical system simulating the CDK1-APC network, we investigate the system's behavior and its implications for cancer progression and potential therapeutic interventions. Our findings highlight the critical role of CDK1-APC interactions in regulating the cell cycle and examine the impact of Zingerone, a compound derived from ginger, on modulating the period of the oscillatory dynamics. These results provide new insights into the potential of Zingerone to influence cell proliferation and offer avenues for less harmful cancer treatments. The quantitative analysis is conducted by first theoretically deriving the cell viability as a function of time and Zingerone concentration, and then validating this function by using experimental data.