Ordinary Differential Equations in Cancer Biology

Abstract

Ordinary differential equations (ODEs) provide a classical framework to model the dynamics of biological systems, given temporal experimental data. Qualitative analysis of the ODE model can lead to further biological insight and deeper understanding compared to traditional experiments alone. Simulation of the model under various perturbations can generate novel hypotheses and motivate the design of new experiments. This short paper will provide an overview of the ODE modeling framework, and present examples of how ODEs can be used to address problems in cancer biology.

Constructing Predictive Cancer Systems Biology Models

“…Previous entries in this handbook have described the basic steps for building an ordinary differential equation (ODE) based mechanistic computational model relating to cancer, and provide a good starting point for model construction [1][2]. A mechanistic model requires a detailed understanding of the biological system being analyzed.…”

Tumor-Immune Interaction System with the Effect of Time Delay and Hyperglycemia on the Breast Cancer Cells

“…ODEs are considered a very appropriate tool for modeling cancer problem. ODEs can be used to recognize the effect of chemotherapy treatment on breast cancer cells, then suggest optimal medicine [22]. ODEs can be improved to the delay differential equations (DDEs) if there is a delay in completing any process.…”