Mathematical Analysis of Bioelectric Potentials
Keywords:
Bioelectric potentials, Hodgkin-Huxley model, bidomain model, electrophysiology, mathematical modeling, computational simulation, membrane potential, ionic currentsAbstract
Bioelectric potentials are essential electrical signals generated by the movement of ions across cellular membranes, playing a vital role in physiological functions such as nerve conduction, muscle contraction, and cardiac activity. This paper presents a mathematical analysis of bioelectric potentials, focusing on key models like the Hodgkin-Huxley model and the bidomain framework. Through differential equations and computational simulations, the study explores the mechanisms of signal generation and propagation in biological tissues. The findings highlight the importance of mathematical modeling in understanding bioelectric phenomena and their applications in biomedical engineering and clinical diagnostics.
References
1. Ахмедов, Т. Р. (2018). Биофизика: ўқув қўлланма (б. 45–78).
2. Муродов, С. Ш. (2015). Биология ва физиология асослари (б. 112–140).
3. Баранов, Ю. Н. (2010). Биофизика: Учебник (с. 100–130).
4. Кацнельсон, Л. М. (2008). Электрофизиология клетки и тканей (с. 75–105).
5. Руденко, А. Н., & Иванов, В. П. (2012). Математическое моделирование биоэлектрических процессов (с. 55–90).