Mathematical and computational modeling for describing the basic behavior of free radicals and antioxidants within epithelial cells

TL;DR

This paper introduces mathematical and computational models to describe the interactions between free radicals and antioxidants in epithelial cells, aiming to improve understanding of these complex biological processes.

Contribution

It presents two novel models—mathematical and computational—that simulate free radical-antioxidant dynamics, validated with experimental data and implemented using C++ and network aging theory.

Findings

Mathematical model validated with experimental data

Computational model developed in C++

Enhanced understanding of free radical-antioxidant interactions

Abstract

The traditional methods of the biology, based on illustrative descriptions and linear logic explanations, are discussed. This work aims to improve this approach by introducing alternative tools to describe and represent complex biological systems. Two models were developed, one mathematical and another computational, both were made in order to study the biological process between free radicals and antioxidants. Each model was used to study the same process but in different scenarios. The mathematical model was used to study the biological process in an epithelial cells culture; this model was validated with the experimental data of Anne Hanneken's research group from the Department of Molecular and Experimental Medicine, published by the journal Investigative Ophthalmology and Visual Science in July 2006. The computational model was used to study the same process in an individual. The model was made using C++ programming language, supported by the network theory of aging.