Spatial Networks of Hybrid I/O Automata for Modeling Excitable Tissue
Ezio Bartocci, Flavio Corradini, Maria Rita Di Berardini, Emilia Entcheva, Radu Grosu, Scott A. Smolka.
In the proceedings of FBTC'07 From Biology to Concurrency and Back International Workshop co-sited with CONCUR conference. pp. 86-102.
Electronic Notes in Theoretical Computer Science vol. 194 no. 3. Elsevier. 2007.
Abstract:
We propose a new biological framework, spatial networks of hybrid input/output automata (SNHIOA), for the efficient modeling and simulation of excitable-cell tissue. Within this framework, we view an excitable tissue as a network of interacting cells disposed according to a 2D spatial lattice, with the electrical behavior of a single cell modeled as a hybrid input/ouput automaton. To capture the phenomenon that the strength of communication between automata depends on their relative positions within the lattice, we introduce a new, weighted parallel composition operator to
specify the influence of one automata over another.
The purpose of the SNHIOA model is to efficiently capture the spatiotemporal behavior of wave propagation in 2D excitable media. To validate this claim, we show how SNHIOA can be used to model and capture different spatiotemporal
behavior of wave propagation in 2D isotropic cardiac tissue, including normal
planar wave propagation, spiral creation, the breakup of spirals into more
complex (potentially lethal) spatiotemporal patterns, and the recovery of the
tissue to the rest via defibrillation.
Categories: Computational Systems Biology, CoSy Group, Modelling, Simulation
@INPROCEEDINGS{BCDEGS07,
title = {{Spatial Networks of Hybrid I/O Automata for Modeling Excitable Tissue}},
author = {Bartocci, Ezio and Corradini, Flavio and Di Berardini, Maria Rita and Entcheva, Emilia and Grosu, Radu and Smolka, Scott A.},
booktitle = {In the proceedings of FBTC'07 From Biology to Concurrency and Back International Workshop co-sited with CONCUR conference},
pages = {86-102},
abstract = {We propose a new biological framework, spatial networks of hybrid input/output
automata (SNHIOA), for the efficient modeling and simulation of excitable-cell
tissue. Within this framework, we view an excitable tissue as a network of
interacting cells disposed according to a 2D spatial lattice, with the
electrical behavior of a single cell modeled as a hybrid input/ouput automaton.
To capture the phenomenon that the strength of communication between automata
depends on their relative positions within the lattice, we introduce a new,
weighted parallel composition operator to
specify the influence of one automata over another.
The purpose of the SNHIOA model is to efficiently capture the spatiotemporal
behavior of wave propagation in 2D excitable media. To validate this claim, we
show how SNHIOA can be used to model and capture different spatiotemporal
behavior of wave propagation in 2D isotropic cardiac tissue, including normal
planar wave propagation, spiral creation, the breakup of spirals into more
complex (potentially lethal) spatiotemporal patterns, and the recovery of the
tissue to the rest via defibrillation.},
publisher = {Elsevier},
series = {Electronic Notes in Theoretical Computer Science},
volume = {194},
number = {3},
year = {2007},
}