27 citations · 117 across the 14 of their papers we have counts for
4 papers · 1 filter
Macroscopic boundary conditions for a fractional diffusion equation in chemotaxis
Gissell Estrada-Rodriguez, Heiko Gimperlein
In this paper we examine boundary effects in a fractional chemotactic equation derived from a kinetic transport model describing cell movement in response to chemical gradients (ch…
Sparse identification of nonlocal interaction kernels in nonlinear gradient flow equations via partial inversion
Jose A. Carrillo, Gissell Estrada-Rodriguez, Laszlo Mikolas +1
We address the inverse problem of identifying nonlocal interaction potentials in nonlinear aggregation-diffusion equations from noisy discrete trajectory data. Our approach involve…
Asymptotic preserving schemes for nonlinear kinetic equations leading to volume-exclusion chemotaxis in the diffusive limit
Gissell Estrada-Rodriguez, Diane Peurichard, Xinran Ruan
In this work we first prove, by formal arguments, that the diffusion limit of nonlinear kinetic equations, where both the transport term and the turning operator are density-depend…
Macroscopic descriptions of follower-leader systems
Sara Bernardi, Gissell Estrada-Rodriguez, Heiko Gimperlein +1
The fundamental derivation of macroscopic model equations to describe swarms based on microscopic movement laws and mathematical analyses into their self-organisation capabilities…