A mathematical modeling toolbox for ion channels and transporters across cell membranes

Abstract Mathematical modeling of membrane transporters and ion channels helps researchers obtain a thorough understanding of the complex regulation process between membrane transporters, estimate the changes and uncertainties of their mechanisms, and study how disorders in these procedures may cause disease. A unified mathematical framework that includes most available models for ion channels and transporters can help scientists choose the appropriate model more conveniently. In this regard, this work presents a comprehensive, up-to-date set of currently available mathematical equations for modeling ion channel and membrane transporter mechanisms. This paper aims to provide a mathematical framework for modeling molecule transport, such as nutrients, inorganic ions, drugs, and toxins, across the cell through membrane transporters and ion channels. Our purpose is to substantially save the time and resources needed to find the mathematical models available for different classes of membrane transporters and improve communication between scientists with different backgrounds interested in this field.