Multi-Physics ModelingandFinite ElementApproximation ofCharge FlowinIonicChannels
Joseph W. Jeromeb, Riccardo SaccoC · 2006
calandcomputational models capable ofproviding aphysThiscommunication deals withthemathematical model-ically sounddescription andanaccurate numerical treatingandnumerical simulation ofcharge transport insingle-mentoftheinteraction between microscopic andmacrocell ionic channels. Theadopted modelconsists ofacou- scopic scales, anissue thatisthemainunifying topic of pledsystem comprising thePoisson-Nernst-Planck andthe problems innanostructures andnanotechnology. InparticNavier-Stokes equations. Suitable functional iteration tech-ular, theproposed modelsshould effectively represent the niques areusedtosuccessively solve themodelequations, widely varying space-time scales oftheproblem athand, andstable andconservative finite element methods are andefficiently compute stable andaccurate numerical soemployed forthediscretization ofeachlinearized prob-lutions forreal-time quantitative analysis andcomparison lemarising fromdecoupling. Modelsandcomputational withavailable measured data. techniques arevalidated onthenumerical simulation ofa Tofulfill theaboveobjectives, themathematical model two-dimensional ionic channel underseveral working con- considered inthepresent research todescribe thedynamditions. ical behaviour ofasingle-cell ionic channel consists ofa coupled system comprising aPoisson-Nernst-Planck (PNP)