English

BioNetFlux: A Python Framework for Reaction--Diffusion--Chemotaxis Simulations on One-Dimensional Network Geometries

Mathematical Software 2026-04-03 v2 Numerical Analysis Numerical Analysis

Abstract

We present BioNetFlux, an open-source Python framework for the numerical simulation of coupled systems of partial differential equations (PDEs) on one-dimensional multi-arc networks by the Hybridized Discontinuous Galerkin method. Its design targets biological transport phenomena on graph-like geometries that arise naturally in microfluidic organ-on-chip (OoC) devices, vascular networks, and in-vitro cell-migration assays.

Keywords

Cite

@article{arxiv.2603.29807,
  title  = {BioNetFlux: A Python Framework for Reaction--Diffusion--Chemotaxis Simulations on One-Dimensional Network Geometries},
  author = {Silvia Bertoluzza},
  journal= {arXiv preprint arXiv:2603.29807},
  year   = {2026}
}
R2 v1 2026-07-01T11:46:23.687Z