On the Principles of the Vascular Network Branching

We propose an explanation of Murrayʹs law without applying the minimality principles. The model deals with a “delivering” artery system of an organ that is characterized, first, by the space-filling embedding into the organ tissue and, second, by the uniform distribution of the blood pressure drop over it. The latter assumption is justified using the available physiological data and the idea about conditions needed for perfect self-regulation. Based on the two statements we get Murrayʹs law, and so, demonstrate that it can be also regarded as a direct consequence of the organismʹs capacity for controlling finely the blood flow redistribution over peripheral vascular networks.