A Probabilistic Model Checking Approach to Investigate the Palytoxin Effects on the Na + /K + -ATPase

Probabilistic Model Checking (PMC) is a technique that is used for the specification and analysis of unpredictable and complex systems. It can be applied directly to biological systems that show these characteristics. In this paper, PMC is used to model and analyze the effects of the palytoxin toxin (PTX) in transmembrane ionic transport systems, cellular structures responsible for exchanging ions through the plasma membrane. The correct behavior of these systems is necessary for all animal cells, otherwise the individual could present diseases and syndromes. We have discovered that high concentrations of ATP could inhibit PTX action, therefore individuals with ATP insufficiency, such as brain disorders (i.e. stroke), are more susceptible to the toxin. This type of analysis can provide a better understanding of how cell transport systems behave, give a better comprehension of these systems, and can lead to the discovery and development of new drugs.