Abstract

Biophysics is a vital field in modern physics that interprets biological processes through mathematical models based on physical laws. A key phenomenon within this domain is the movement of ions through cellular channels, essential for regulating membrane potential, transmitting neural signals, and managing metabolic activity.
While numerous biological studies have explored this process experimentally, there remains a gap in theoretical modeling. Specifically, the absence of an integrated mathematical framework that accounts for factors such as electrical potential, ion concentration, charge, and channel diameter limit our ability to describe ion behavior without reliance on laboratory manipulation.
This study proposes a purely theoretical approach by constructing a model grounded in electrochemical transport equations, including the Nernst equation and the Goldman-Hodgkin-Katz equation. The goal is to quantify the relationship between potential and concentration across membranes, and to understand how ions respond to physical variations in their environment.
The significance of this approach lies in its potential to bridge physics and biology, offering a mathematical base for future medical and pharmacological applications, especially in fields like neurophysiology and molecular pharmacology. This not only enhances the understanding of ion transport mechanisms but also contributes to the development of predictive models relevant to modern biological research.