Palytoxin inhibits the sodium-potassium pump --- an investigation of an electrophysiological model using probabilistic model checking

Authors:
Fernando A. F. Braz;Jader S. Cruz;Alessandra C. Faria-Campos;Sérgio V. A. Campos
Affiliations:
Department of Computer Science, Federal University of Minas Gerais, Belo Horizonte, Brazil;Biochemistry and Immunology Department, Federal University of Minas Gerais, Belo Horizonte, Brazil;Department of Computer Science, Federal University of Minas Gerais, Belo Horizonte, Brazil;Department of Computer Science, Federal University of Minas Gerais, Belo Horizonte, Brazil
Venue:
SBMF'12 Proceedings of the 15th Brazilian conference on Formal Methods: foundations and applications
Year:
2012

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Abstract

Automatic verification techniques such as Probabilistic Model Checking (PMC) have been successfully applied in the specification and analysis of stochastic systems. Some biological systems show these characteristics, allowing PMC usage in unexpected fields. We present and analyze a probabilistic model for palytoxin toxin (PTX) effects on cell transport systems, structures which exchange ions across the plasma membrane. Several diseases are linked to their irregular behavior and their study could help drug development. The model developed in this work shows that as sodium concentration increases, PTX action enhances, suggesting that individuals with diets high in sodium are more vulnerable to PTX. An opposite effect is observed when the potassium concentration increases. PMC can help significantly in the understanding of how cell transport systems behave, suggesting novel experiments which otherwise might be overlooked by biologists.