Mathematical models for therapeutic approaches involving electric conductors or shielding

TL;DR

This paper develops a mathematical model for DC current in human tissue, analyzing attenuation effects and discussing electrical shielding and coupling in biological processes.

Contribution

It introduces a new mathematical framework for modeling DC current in tissue and provides bounds on attenuation duration related to model parameters.

Findings

Established a positive lower bound on attenuation duration.

Analyzed shielding and coupling effects in biological electrical processes.

Provided insights into electrical behavior in biological tissues.

Abstract

We set up a mathematical model for a DC current in a human tissue that shows an attenuation effect in an extended circuit. We give a positive lower bound on the time duration over which this is guaranteed to happen in terms of the parameters of the model. We also discuss shielding and coupling in the context of electrical aspects of biological processes.