Continuous Time Markov Chain Models of Voltage Gating of Gap Junction Channels

  • H. Pranevicius Kaunas University of Technology
  • M. Pranevicius Albert Einstein College of Medicine
  • O. Pranevicius New York Hospital Queens
  • M. Snipas Kaunas University of Technology
  • N. Paulauskas Lithuanian University of Health Sciences
  • F. Bukauskas Albert Einstein College of Medicine
Keywords: Continuous time Markov chain, PLA formalism, gap junction channel, steady-state

Abstract

The major goal of this study was to create a continuous time Markov chain (CTMC) models of voltage gating of gap junction (GJ) channels formed of connexin protein. This goal was achieved by using the Piece Linear Aggregate (PLA) formalism to describe the function of GJs and transforming PLA into Markov process. Infinitesimal generator of CTMC was used to automate construction of Markov chain model from description of the system using PLA formalism. Developed Markov chain models were used to simulate gap junctional conductance dependence on transjunctional voltage. The proposed method was implemented to create models of voltage gating of GJ channels containing 4 and 12 gates. CTMC modeling results were compared with the results obtained using a discrete time Markov chain (DTMC) model. It was shown that CTMC modeling requires less CPU time than an analogous DTMC model.

DOI: http://dx.doi.org/10.5755/j01.itc.43.2.3198

Author Biographies

M. Pranevicius, Albert Einstein College of Medicine
Department of Anestesiology
O. Pranevicius, New York Hospital Queens
Department of Anestesiology
M. Snipas, Kaunas University of Technology
Department of Mathematical Research in Systems
N. Paulauskas, Lithuanian University of Health Sciences
Institute of Cardiology
F. Bukauskas, Albert Einstein College of Medicine
Department of Neuroscience
Published
2014-06-19
Section
Articles