Mean field limits for nonlinear spatially extended Hawkes processes with exponential memory kernels
Sign Up to like & getrecommendations! Published in 2019 at "Stochastic Processes and their Applications"
DOI: 10.1016/j.spa.2018.02.007
Abstract: We consider spatially extended systems of interacting nonlinear Hawkes processes modeling large systems of neurons placed in Rd and study the associated mean field limits. As the total number of neurons tends to infinity, we… read more here.
Keywords: spatially extended; limits nonlinear; field; field limits ... See more keywords
Asymptotic limits for a nonlinear integro-differential equation modelling leukocytes’ rolling on arterial walls
Sign Up to like & getrecommendations! Published in 2020 at "Nonlinearity"
DOI: 10.1088/1361-6544/ac3eb5
Abstract: We consider a nonlinear integro-differential model describing z, the position of the cell center on the real line presented in Grec et al (2018 J. Theor. Biol. 452 35–46). We introduce a new ɛ-scaling and… read more here.
Keywords: nonlinear integro; asymptotic limits; equation modelling; limits nonlinear ... See more keywords