4 papers · 1 filter
A duality approach to the dense graph limit for biological transportation networks
Nuno J. Alves, Jan Haskovec
We develop a duality-based formulation of the dense graph limit for a variational model of biological transportation networks, where edge conductivities balance pumping power again…
Rigorous dense graph limit of a model for biological transportation networks
Nuno J. Alves, Jan Haskovec
We rigorously derive the dense graph limit of a discrete model describing the formation of biological transportation networks. The discrete model, defined on undirected graphs with…
Numerical approach to centrality of optimal transportation networks
Jan Haskovec
We study hierarchical properties of optimal transportation networks with biological background. The networks are obtained as minimizers of an energy functional which involves a met…
Robust network formation with biological applications
Jan Haskovec, Jan Vybiral
We provide new results on the structure of optimal transportation networks obtained as minimizers of an energy cost functional consisting of a kinetic (pumping) and material (metab…