Computational modeling and simulation of complex systems in bio-electronics

In this article, we discuss the mathematical and computational framework required to develop a general-purpose simulation tool for bio-electronic applications. Electrochemical and fluid-mechanical transport of substances, chemical reactions and electrical transduction of biological signals are described through the coupled use of systems of partial and ordinary differential equations (PDEs and ODEs). Functional iteration techniques for system decoupling and mixed-hybridized finite element discretization methods are proposed and validated in the simulation of realistic problems in Electrophysiology and Biochemistry.