1999/09/01 by Ihor Lubashevsky, I. A. Lubashevsky, Lubashevsky, I. A. +2
Biochemistry, Genetics and Molecular Biology · Medicine · Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #Cardiovascular Health and Disease Prevention #FOS: Biological sciences #FOS: Physical sciences #Heart Rate Variability and Autonomic Control #Quantitative Biology (q-bio) #Thermoregulation and physiological responses #adap-org #nlin.AO #q-bio
paper · pdf · doi:10.48550/arxiv.adap-org/9909003
arxiv created 1999/09/01 · openalex publication_date 1999/09/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The equivalence of two optimality principles leading to Murray's law has been discussed. The first approach is based on minimization of biological work needed for maintaining the blood flow through the vessels at required level. The second one is the principle of minimal drag and lumen volume. Characteristic features of these principles are considered. An alternative approach leading to Murray's law has been proposed. For that we model the microcirculatory bed in terms of delivering vascular network with symmetrical bifurcation nodes, embedded uniformly into the cellular tissue. It was shown that Murray's law can be regarded as a direct consequence of the organism capacity for controlling the blood flow redistribution over the microcirculatory beds.