"Anomalous transport: subdiffusion and superdiffusion in biology"
PhD. Sergei Fedotov
School of Mathematics, University of Manchester
Jueves 11 de Mayo de 2017
Sala de Usos Multiples de la FCFM-UNACH
Anomalous transport is a new, exciting area of research because it is a widespread natural phenomenon. Examples include movement of proteins and lipids on cell membranes, motor-protein mediated active transport inside cells, transport of signalling molecules in the dendrites, superdiffusive cancer cells motility. Anomalous transport cannot be described by standard tools like diffusion equations. Instead it requires the use of fractional diffusion equations involving fractional derivatives of non-integer order. I show how to apply these fractional equations to the morphogen gradient.
Nonlinar fractional PDE, subdiﬀusion of morphogens, degradation enhanced diﬀusion, Superdiﬀusive transport, Metapopulation transport on network and aggregation phenomena
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