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of 33
pro vyhledávání: '"Pettersson, Irina"'
We simulate the electrical response of multiple disjoint biological 3D cells undergoing an electropermeabilization process. Instead of solving the boundary value problem in the unbounded volume, we reduce it to a system of boundary integrals equation
Externí odkaz:
http://arxiv.org/abs/2403.19371
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 electric potential in the fascicle based on the FitzHugh-Nagumo membran
Externí odkaz:
http://arxiv.org/abs/2206.04368
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 can quickly become unfeasible if one wants to study many different geom
Externí odkaz:
http://arxiv.org/abs/2012.02276
Publikováno v:
In Nonlinear Analysis: Real World Applications April 2023 70
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 cable equation describing the potential propagation along the axon. We
Externí odkaz:
http://arxiv.org/abs/1805.01708
Autor:
Pettersson, Irina, Piatnitski, Andrey
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 the boundary. We assume that the cylinder is a junction of two semi-i
Externí odkaz:
http://arxiv.org/abs/1704.03893
Autor:
Pettersson, Irina
The aim of this paper is to adapt the notion of two-scale convergence in $L^p$ to the case of a measure converging to a singular one. We present a specific case when a thin cylinder with locally periodic rapidly oscillating boundary shrinks to a segm
Externí odkaz:
http://arxiv.org/abs/1703.09027
Autor:
Pettersson, Irina, Piatnitski, Andrey
Publikováno v:
In Journal of Differential Equations 5 April 2018 264(7):4456-4487
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