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

2014 ◽  
Vol 43 (2) ◽  
Author(s):  
H. Pranevicius ◽  
M. Pranevicius ◽  
O. Pranevicius ◽  
M. Snipas ◽  
N. Paulauskas ◽  
...  
Keyword(s):  
Markov Chain ◽  
Gap Junction ◽  
Continuous Time ◽  
Voltage Gating ◽  
Continuous Time Markov Chain ◽  
Gap Junction Channels ◽  
Markov Chain Models

scholarly journals Application of Stochastic Automata Networks for Creation of Continuous Time Markov Chain Models of Voltage Gating of Gap Junction Channels

2015 ◽  
Vol 2015 ◽  
pp. 1-13 ◽  
Author(s):  
Mindaugas Snipas ◽  
Henrikas Pranevicius ◽  
Mindaugas Pranevicius ◽  
Osvaldas Pranevicius ◽  
Nerijus Paulauskas ◽  
...  
Keyword(s):  
Markov Chain ◽  
Numerical Methods ◽  
Gap Junction ◽  
Continuous Time ◽  
Steady State Solution ◽  
Voltage Gating ◽  
Continuous Time Markov Chain ◽  
Stochastic Automata ◽  
Automata Networks ◽  
Markov Chain Models

The primary goal of this work was to study advantages of numerical methods used for the creation of continuous time Markov chain models (CTMC) of voltage gating of gap junction (GJ) channels composed of connexin protein. This task was accomplished by describing gating of GJs using the formalism of the stochastic automata networks (SANs), which allowed for very efficient building and storing of infinitesimal generator of the CTMC that allowed to produce matrices of the models containing a distinct block structure. All of that allowed us to develop efficient numerical methods for a steady-state solution of CTMC models. This allowed us to accelerate CPU time, which is necessary to solve CTMC models, ∼20 times.

scholarly journals Estimating animal utilization densities using continuous‐time Markov chain models

2018 ◽  
Vol 9 (5) ◽  
pp. 1232-1240 ◽  
Author(s):  
Kenady Wilson ◽  
Ephraim Hanks ◽  
Devin Johnson
Keyword(s):  
Markov Chain ◽  
Continuous Time ◽  
Continuous Time Markov Chain ◽  
Markov Chain Models ◽  
Animal Utilization

Exact Inference for Continuous Time Markov Chain Models

1986 ◽  
Vol 53 (4) ◽  
pp. 653 ◽  
Author(s):  
John Geweke ◽  
Robert C. Marshall ◽  
Gary A. Zarkin
Keyword(s):  
Markov Chain ◽  
Continuous Time ◽  
Continuous Time Markov Chain ◽  
Exact Inference ◽  
Markov Chain Models
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