Head, Research Group In Silico Psychopharmacology
Central Institute of Mental Health
November 17, 2015
In silico pharmacology: from mathematical modeling to experiments
The phenomena related to brain function occur as the interplay of various modules at different spatial and temporal scales. Particularly, the integration of the dynamical behavior of cells
within the complex brain topology reveals a heterogeneous multi-scale problem. Thus, the investigation of the quantitative or qualitative alterations of the neural systems due to pharmacological manipulations relies on appropriate multi-scale mathematical concepts. In this talk, a series of mathematical and biophysical models and simulations are presented that attempt to address this issue at different spatiotemporal scales. By utilizing a diversity of mathematical tools and theories such as ordinary, partial and functional differential equations, network theory, topology and statistical analysis, neurobiological processes from cells up to the dynamics of neurochemical systems at distinct brain regions have been translated into a formal language. As the main result of the multi-scale modeling strategy, a mathematical model comprised by a system of non-linear delay differential equations is established that enables the reproduction and prediction of time-dependent alterations of extracellular neurotransmitter concentrations in the presence different doses of neuroactive substances.
This theory provides a quantitative framework for investigating neurobiological processes and would be of beneficial use for studying the acute and chronic effects of drugs in virtual environments.