5 papers
Derivation of a bidomain model for bundles of myelinated axons
Carlos Jerez-Hanckes, Isabel A. Martínez Ávila, Irina Pettersson +1
The work concerns the multiscale modeling of a nerve fascicle of myelinated axons. We present a rigorous derivation of a macroscopic bidomain model describing the behavior of the e…
A feedforward neural network for modelling of average pressure frequency response
Klas Pettersson, Andrey Karzhou, Irina Pettersson
The Helmholtz equation has been used for modelling the sound pressure field under a harmonic load. Computing harmonic sound pressure fields by means of solving Helmholtz equation c…
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…
Stationary convection-diffusion equation in an infinite cylinder
Irina Pettersson, Andrey Piatnitski
We study the existence and uniqueness of a solution to a linear stationary convection-diffusion equation stated in an infinite cylinder, Neumann boundary condition being imposed on…
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…