[Dynamics of O2 and CO2 tensions in the brain (mathematical modeling)]. 1976

Iu Ia Kisliakov

The mathematical model for description of the circulation and gas exchange dynamics in the brain is suggested. The model is based on a cell of two compact parallel capillary network with a brain tissue within. The equation system describing the model was calculated on a computer. The simulation showed that steady state pO2 in the cell during blood flow changes from 0.5 mm/sec to 0.25 or 1 mm/sec is reached within 2--5 sec. The dynamics of pCO2 is more inert. It was shown that the main factor in the dynamics of pO2 in the brain is the velocity of blood flow in capillaries. The dynamic pattern of pCO2 depends on haemodynamical condition, the structure of capillary network and physical properties of CO2.

UI MeSH Term Description Entries
D008433 Mathematics The deductive study of shape, quantity, and dependence. (From McGraw-Hill Dictionary of Scientific and Technical Terms, 6th ed) Mathematic
D008954 Models, Biological Theoretical representations that simulate the behavior or activity of biological processes or diseases. For disease models in living animals, DISEASE MODELS, ANIMAL is available. Biological models include the use of mathematical equations, computers, and other electronic equipment. Biological Model,Biological Models,Model, Biological,Models, Biologic,Biologic Model,Biologic Models,Model, Biologic
D010100 Oxygen An element with atomic symbol O, atomic number 8, and atomic weight [15.99903; 15.99977]. It is the most abundant element on earth and essential for respiration. Dioxygen,Oxygen-16,Oxygen 16
D010313 Partial Pressure The pressure that would be exerted by one component of a mixture of gases if it were present alone in a container. (From McGraw-Hill Dictionary of Scientific and Technical Terms, 6th ed) Partial Pressures,Pressure, Partial,Pressures, Partial
D001921 Brain The part of CENTRAL NERVOUS SYSTEM that is contained within the skull (CRANIUM). Arising from the NEURAL TUBE, the embryonic brain is comprised of three major parts including PROSENCEPHALON (the forebrain); MESENCEPHALON (the midbrain); and RHOMBENCEPHALON (the hindbrain). The developed brain consists of CEREBRUM; CEREBELLUM; and other structures in the BRAIN STEM. Encephalon
D002196 Capillaries The minute vessels that connect arterioles and venules. Capillary Beds,Sinusoidal Beds,Sinusoids,Bed, Sinusoidal,Beds, Sinusoidal,Capillary,Capillary Bed,Sinusoid,Sinusoidal Bed
D002245 Carbon Dioxide A colorless, odorless gas that can be formed by the body and is necessary for the respiration cycle of plants and animals. Carbonic Anhydride,Anhydride, Carbonic,Dioxide, Carbon

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