Multiscale modeling methods in biomechanics

Multiscale modeling methods in biomechanics

More and more frequently, computational biomechanics deals with problems where the portion of physical reality to be modeled spans over such a large range of spatial and temporal dimensions, that it is impossible to represent it as a single space-time continuum. We are forced to consider multiple space-time continua, each representing the phenomenon of interest at a characteristic space-time sc...

Multiscale modelling in biomechanics

On the multiscale modeling of heart valve biomechanics in health and disease.

Theoretical models of the human heart valves are useful tools for understanding and characterizing the dynamics of healthy and diseased valves. Enabled by advances in numerical modeling and in a range of disciplines within experimental biomechanics, recent models of the heart valves have become increasingly comprehensive and accurate. In this paper, we first review the fundamentals of native he...

Modeling charge transport in DNA using multiscale methods

Despite great efforts in the experimental and theoretical investigation of charge migration in DNA oligomers, no unified explanation of the microscopic mechanisms governing charge transfer/transport has been achieved up to date. The complexity of this bio-molecule as well as the variety of factors that influence charge transfer/transport (solvent, base dynamics, nucleobase sequence, metal–molec...

Multiscale modeling via split-step methods in neural firing

Neuronal models based on the Hodgkin-Huxley equation form a fundamental framework in the field of computational neuroscience. While the neuronal state is often modeled deterministically, experimental recordings show stochastic fluctuations, presumably driven by molecular noise from the underlying microphysical conditions. In turn, the firing of individual neurons gives rise to an electric field...