Optimal structure of the microcirculatory bed. 1994

M A Khanin, and I B Bukharov
Department of Microelectronics, Moscow State University of Aircraft Technology, Russia.

Based on the principle of minimum power, a mathematical model of the structural organization of the microcirculatory system is presented. The optimization model minimizes the power expenditure of the heart, bone marrow and the power expenditure in blood carrying. The structure of the microcirculatory bed in the heart, lung and skeletal muscles is considered. The optimal number of capillaries arising from one terminal arteriole is determined depending on oxygen transport parameters. Arterial blood volume as a function of body weight is also determined. Theoretical results are compared with experimental data for man.

UI MeSH Term Description Entries
D008168 Lung Either of the pair of organs occupying the cavity of the thorax that effect the aeration of the blood. Lungs
D008433 Mathematics The deductive study of shape, quantity, and dependence. (From McGraw-Hill Dictionary of Scientific and Technical Terms, 6th ed) Mathematic
D008833 Microcirculation The circulation of the BLOOD through the MICROVASCULAR NETWORK. Microvascular Blood Flow,Microvascular Circulation,Blood Flow, Microvascular,Circulation, Microvascular,Flow, Microvascular Blood,Microvascular Blood Flows,Microvascular Circulations
D008955 Models, Cardiovascular Theoretical representations that simulate the behavior or activity of the cardiovascular system, processes, or phenomena; includes the use of mathematical equations, computers and other electronic equipment. Cardiovascular Model,Cardiovascular Models,Model, Cardiovascular
D009132 Muscles Contractile tissue that produces movement in animals. Muscle Tissue,Muscle,Muscle Tissues,Tissue, Muscle,Tissues, Muscle
D001810 Blood Volume Volume of circulating BLOOD. It is the sum of the PLASMA VOLUME and ERYTHROCYTE VOLUME. Blood Volumes,Volume, Blood,Volumes, Blood
D001835 Body Weight The mass or quantity of heaviness of an individual. It is expressed by units of pounds or kilograms. Body Weights,Weight, Body,Weights, Body
D003331 Coronary Vessels The veins and arteries of the HEART. Coronary Arteries,Sinus Node Artery,Coronary Veins,Arteries, Coronary,Arteries, Sinus Node,Artery, Coronary,Artery, Sinus Node,Coronary Artery,Coronary Vein,Coronary Vessel,Sinus Node Arteries,Vein, Coronary,Veins, Coronary,Vessel, Coronary,Vessels, Coronary
D006801 Humans Members of the species Homo sapiens. Homo sapiens,Man (Taxonomy),Human,Man, Modern,Modern Man
D001160 Arterioles The smallest divisions of the arteries located between the muscular arteries and the capillaries. Arteriole

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