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math.AP2025
Homogenization of an indefinite spectral problem arising in population genetics
Srinivasan Aiyappan, Aditi Chattaraj, Irina Pettersson
We study an indefinite spectral problem for a second-order self-adjoint elliptic operator in an asymptotically thin cylinder. The operator coefficients and the spectral density fun…
math.AP2025
Nonlinear multidomain model for nerve bundles with random structure
Irina Pettersson, Antonina Rybalko, Volodymyr Rybalko
We present a derivation of a multidomain model for the electric potential in bundles of randomly distributed axons with different radii. The FitzHugh-Nagumo dynamics is assumed on…