The Journal of Membrane Biology

, Volume 252, Issue 1, pp 77–103 | Cite as

A Mathematical Model of the Human Cardiac Na+ Channel

  • Tesfaye Negash Asfaw
  • Vladimir E. BondarenkoEmail author


Sodium ion channel is a membrane protein that plays an important role in excitable cells, as it is responsible for the initiation of action potentials. Understanding the electrical characteristics of sodium channels is essential in predicting their behavior under different physiological conditions. We investigated several Markov models for the human cardiac sodium channel NaV1.5 to derive a minimal mathematical model that describes the reported experimental data obtained using major voltage clamp protocols. We obtained simulation results for peak current–voltage relationships, the voltage dependence of normalized ion channel conductance, steady-state inactivation, activation and deactivation kinetics, fast and slow inactivation kinetics, and recovery from inactivation kinetics. Good agreement with the experimental data provides us with the mechanisms of the fast and slow inactivation of the human sodium channel and the coupling of its inactivation states to the closed and open states in the activation pathway.


Markov model NaV1.5 channel Inactivation Recovery from inactivation Ion channel gating 



The authors thank Dr. Kelvin Rozier for proofreading the manuscript and giving helpful comments and the University System of Georgia (USG) for supporting Tesfaye Asfaw through the Tuition Assistance Program (TAP).


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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • Tesfaye Negash Asfaw
    • 1
  • Vladimir E. Bondarenko
    • 1
    • 2
    Email author
  1. 1.Department of Mathematics and StatisticsGeorgia State UniversityAtlantaUSA
  2. 2.Neuroscience InstituteGeorgia State UniversityAtlantaUSA

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