4 papers
physics.bio-ph2026
The Incommensurability Principle in Biological Transport
Riccardo Marchesi
Why does the mammalian vascular tree maintain a conserved branching exponent across a -fold range in body mass, despite a fundamental shift from viscous t…
physics.bio-ph2026
Beyond Murray's Law: Non-Universal Branching Exponents from Vessel-Wall Metabolic Costs
Riccardo Marchesi
Murray's cubic branching law () predicts a universal diameter scaling exponent for all hierarchical transport networks, yet arterial trees yield . We show tha…
physics.bio-ph2026
The Dynamic Origin of Kleiber's Law
Riccardo Marchesi
The ubiquitous metabolic scaling exponent, known as Kleiber's law, has long been attributed to the minimization of viscous dissipation within fractal transport networks. In t…
physics.bio-ph2026
A Unified Variational Principle for Branching Transport Networks: Wave Impedance, Viscous Flow, and Tissue Metabolism
Riccardo Marchesi
The branching geometry of biological transport networks is characterized by a diameter scaling exponent . Two structural attractors compete: impedance matching () for…