• Maxim Solovchuk, National Health Research Institutes
  • Tzyy-Leng Horng

Continuum models featuring ordinary/partial differential equations have been broadly applied to biology featuring from small scales like protein and vesicle to mesoscales like cell and tissue and to large scales like organ and system. The models involved are usually multi-physics and cover all fundamental physical effects such as diffusion, convection, electro-migration, mechanics and etc. Taking ion channels as an example, which is generally formed by several proteins, its major function is regulating the transportation of ions through the cell membrane. Besides using molecular dynamics to calculate trajectories of all atoms, Poisson-Nernst-Planck (PNP) equations as a continuum model is far more efficient in computing its current-voltage curve that interests most researchers in this field. The fundamental physics involved in PNP is simply diffusion and electro-migration. Another example is medical acoustics, including hyperthermia and focused ultrasound therapy for tumor treatment. It involves tissue and even organ scales, and its physics cover diffusion, convection, fluid mechanics, and fluid-structure interaction. This symposium highly welcomes the topics of continuum modeling and computation of all biological processes.

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