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math.AP2018
Derivation of cable equation by multiscale analysis for a model of myelinated axons
Carlos Jerez-Hanckes, Irina Pettersson, Volodymyr Rybalko
The paper concerns the multiscale modeling of a myelinated axon. Taking into account the microstructure with alternating myelinated parts and nodes Ranvier, we derive a nonlinear c…
math.AP2017
Two-scale convergence in thin domains with locally periodic rapidly oscillating boundary
Irina Pettersson
The aim of this paper is to adapt the notion of two-scale convergence in to the case of a measure converging to a singular one. We present a specific case when a thin cylinde…