Open AccessMultiscale modelling of coupled Ca 2+ channels using coloured stochastic Petri nets
Author(s) -
Liu Fei,
Heiner Monika
Publication year - 2013
Publication title -
iet systems biology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.367
H-Index - 50
eISSN - 1751-8857
pISSN - 1751-8849
DOI - 10.1049/iet-syb.2012.0017
Subject(s) - petri net , markov chain , stochastic modelling , coupling (piping) , computer science , stochastic petri net , stochastic process , statistical physics , markov process , algorithm , theoretical computer science , biological system , physics , mathematics , engineering , machine learning , mechanical engineering , statistics , biology
Stochastic modelling of coupled Ca 2+ channels is a challenge, especially when the coupling of the channels, as determined by their spatial arrangement relative to each other, has to be considered at multiple spatial scales. In this study, the authors address this problem using coloured stochastic Petri nets ( ) as high‐level description to generate continuous‐time Markov chains. The authors develop several models with increasing complexity. They first apply to model single clusters of coupled Ca 2+ channels arranged in a regular or irregular lattice, where they describe how to represent the geometrical arrangement of Ca 2+ channels relative to each other using colours. They then apply this modelling idea to construct more complex models by modelling spatially arranged clusters of channels. The authors’ models can be easily reproduced and adapted to different scenarios.