no code implementations • 8 Jul 2022 • Felix P. Kemeth, Sergio Alonso, Blas Echebarria, Ted Moldenhawer, Carsten Beta, Ioannis G. Kevrekidis
In these regimes, going beyond black-box identification, we explore different approaches to learn data-driven corrections to the analytically approximate models, leading to effective gray box partial differential equations.
no code implementations • 29 Dec 2021 • Eduardo Moreno, Robert Großmann, Carsten Beta, Sergio Alonso
Here, we extend the previously introduced model for single cell motility to describe the collective motion of large populations of interacting amoebae by including repulsive interactions between the cells.
no code implementations • 15 May 2020 • Gregor Pasemann, Sven Flemming, Sergio Alonso, Carsten Beta, Wilhelm Stannat
A theory for diffusivity estimation for spatially extended activator-inhibitor dynamics modelling the evolution of intracellular signaling networks is developed in the mathematical framework of stochastic reaction-diffusion systems.
