Comparisons of wave dynamics in Hodgkin-Huxley and Markov-state formalisms for the sodium (Na) channel in some mathematical models for human cardiac tissue

2018/11/23 by Mahesh Kumar Mulimani, Alok Ranjan Nayak, Rahul Pandit · 1 citation
Biochemistry, Genetics and Molecular Biology · Computer Science · Medicine · Physics and Astronomy · #Cardiac electrophysiology and arrhythmias #Channel (broadcasting) #Dynamics (music) #Ion channel regulation and function #Markov model #Markov process #Mathematical model #Nonlinear Dynamics and Pattern Formation #Process (computing) #Rotation formalisms in three dimensions #Sodium channel #physics.bio-ph

paper · pdf · doi:10.1103/physrevresearch.2.033443

published in Physical Review Research 2(3) (American Physical Society) · 26 pages, 12 figures and 2 Tables

arxiv created 2018/11/23 · openalex created_date 2018/11/29 · openalex publication_date 2020/09/18 · arxiv updated 2020/09/23 · openalex updated_date 2026/08/05

Abstract

The authors compare two different Markov models with that of a Hodgkin-Huxley model for the wild-type and mutant Na ion-channel in a cardiac myocyte and study the differences in the resultant wave dynamics.

Citations

• A quantitative description of membrane current and its application to conduction and excitation in nerve
• Spiral-wave dynamics depend sensitively on inhomogeneities in mathematical models of ventricular tissue
• Models of cardiac tissue electrophysiology: Progress, challenges and open questions
• Basic Mechanisms of Cardiac Impulse Propagation and Associated Arrhythmias
• Global public health problem of sudden cardiac death