Fractional cable equation models for anomalous electrodiffusion in nerve cells: infinite domain solutions
نویسندگان
چکیده
منابع مشابه
Fractional cable equation models for anomalous electrodiffusion in nerve cells: infinite domain solutions.
We introduce fractional Nernst-Planck equations and derive fractional cable equations as macroscopic models for electrodiffusion of ions in nerve cells when molecular diffusion is anomalous subdiffusion due to binding, crowding or trapping. The anomalous subdiffusion is modelled by replacing diffusion constants with time dependent operators parameterized by fractional order exponents. Solutions...
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In recent work we introduced fractional Nernst–Planck equations and related fractional cable equations to model electrodiffusion of ions in nerve cells with anomalous subdiffusion along and across the nerve cells. This work was motivated by many computational and experimental studies showing that anomalous diffusion is ubiquitous in biological systems with binding, crowding, or trapping. For ex...
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ژورنال
عنوان ژورنال: Journal of Mathematical Biology
سال: 2009
ISSN: 0303-6812,1432-1416
DOI: 10.1007/s00285-009-0251-1