Mathematical Models of Neuronal Chemo-Mechanics
Thursday, July 23, 2015 - 11:30am - 12:20pm
Neurological diseases are caused by mechanical injuries and biochemical imbalances of brain. An understanding of the interconnected nature of the electro-chemo-mechanical phenomena that contribute to the onset and evolution of these diseases is currently lacking. Mathematical models of brain chemo-mechanics and corresponding computer simulations play an important role in highlighting the mechanisms that govern healthy and diseased processes and thus can contribute to the development of effective diagnostic and therapeutic tools. In this talk I will present some mathematical models of neuronal chemo-mechanics that combine classic mechanical models (such as the triphasic model, the linear visco-elastic Kelvin-Voigt model) characterizing the mechanical behavior of a neuron, and the classic Hodgkin-Huxley model describing the macroscopic electric dynamics of a neuron. Numerical simulations of possible chemo-mechanical dynamics in neurons will be presented.