Reachability of the Therapeutic Target in the Systems with Parameters Switch

Abstract

Human organism is a complex system whose functioning is still under investigation. The biological models of intercellular interactions are created for better understanding of the complex system behaviour and prediction of the system response to the given stimuli. Medical system such as drug application to organism can be described as a piece-wise non-linear model. In our work we consider the influence of the parameter deviations of the systems with fixed terminal state. There are investigated two types of deviations: small changes of system parameters and changes in particular parameter switching time. We considered three different types of the systems, without self-regulation, with negative feedback loop and with positive feedback loop. We considered differences between these types and influence of the small changes in parameters values to the reachability of therapeutic goal after the drug application.