10 citations · 11 across the 4 of their papers we have counts for
4 papers · 1 filter
Self-regulated biological transportation structures with general entropy dissipation: 2D case and leaf-shaped domain
Clarissa Astuto, Peter Markowich, Simone Portaro +1
In recent years, the study of biological transportation networks has attracted significant interest, focusing on their self-regulating, demand-driven nature. This paper examines a…
Measure-based approach to mesoscopic modeling of optimal transportation networks
Jan Haskovec, Peter Markowich, Simone Portaro
We propose a mesoscopic modeling framework for optimal transportation networks with biological applications. The network is described in terms of a joint probability measure on the…
Self-regulated biological transportation structures with general entropy dissipations, part I: the 1D case
Clarissa Astuto, Jan Haskovec, Peter Markowich +1
We study self-regulating processes modeling biological transportation networks as presented in \cite{portaro2023}. In particular, we focus on the 1D setting for Dirichlet and Neuma…
Emergence of biological transportation networks as a self-regulated process
Jan Haskovec, Peter Markowich, Simone Portaro
We study self-regulating processes modeling biological transportation networks. Firstly, we write the formal -gradient flow for the symmetric tensor valued diffusivity of…