Continuous time Markov chain models of voltage gating of gap junction channels

Henrikas Pranevicius; Mindaugas Pranevicius; Osvaldas Pranevicius; Mindaugas Snipas; Nerijus Paulauskas; Feliksas Bukauskas

doi:10.5755/j01.itc.43.2.3198

Continuous time Markov chain models of voltage gating of gap junction channels

Henrikas Pranevicius, Mindaugas Pranevicius, Osvaldas Pranevicius, Mindaugas Snipas, Nerijus Paulauskas, Feliksas Bukauskas

Neuroscience

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English (US)
Pages (from-to)	133-142
Number of pages	10
Journal	Information Technology and Control
Volume	43
Issue number	2
DOIs	https://doi.org/10.5755/j01.itc.43.2.3198
State	Published - 2014

Keywords

Continuous time Markov chain
Gap junction channel
PLA formalism
Steady-state probabilities

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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10.5755/j01.itc.43.2.3198

Cite this

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title = "Continuous time Markov chain models of voltage gating of gap junction channels",

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.",

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author = "Henrikas Pranevicius and Mindaugas Pranevicius and Osvaldas Pranevicius and Mindaugas Snipas and Nerijus Paulauskas and Feliksas Bukauskas",

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AU - Pranevicius, Henrikas

AU - Pranevicius, Mindaugas

AU - Pranevicius, Osvaldas

AU - Snipas, Mindaugas

AU - Paulauskas, Nerijus

AU - Bukauskas, Feliksas

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

KW - Continuous time Markov chain

KW - Gap junction channel

KW - PLA formalism

KW - Steady-state probabilities

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Continuous time Markov chain models of voltage gating of gap junction channels

Abstract

Keywords

ASJC Scopus subject areas

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