2 papers
math.AP2021
Tensor PDE model of biological network formation
Jan Haskovec, Peter Markowich, Giulia Pilli
We study an elliptic-parabolic system of partial differential equations describing formation of biological network structures. The model takes into consideration the evolution of t…
math.AP2019
Murray's law for discrete and continuum models of biological networks
Jan Haskovec, Peter Markowich, Giulia Pilli
We demonstrate the validity of Murray's law, which represents a scaling relation for branch conductivities in a transportation network, for discrete and continuum models of biologi…