Mathematical modeling of time-dependent oxygen transport in rat peripheral nerve.
We modeled time-dependent transport of oxygen in peripheral nerve. Simulation began with a steady-state oxygen tension field determined by capillary diameter and length, intercapillary distance, blood-flow velocity, oxygen consumption rate, and arterial oxygen tension. One of these parameters was assumed to change rapidly to new constant value, producing time-varying oxygen tensions. A monoexponential or biexponential function characterized the oxygen tension time variation. Rate constants of the slower exponential ranged from 0.017 sec-1 to 0.46 sec-1, implying minimal time lag in response of peripheral nerve oxygen tensions to alterations in blood flow, arterial blood oxygenation, or metabolic demands.
Lagerlund
T D
TD
Department of Neurology, Mayo Clinic, Rochester, MN 55905.
Low
P A
PA
D000818:Animals; D001783:Blood Flow Velocity; D001784:Blood Gas Analysis; D002196:Capillaries / Q000033:anatomy & histology / Q000502:physiology / Q000503:physiopathology; D004058:Diffusion; D005069:Evaluation Studies as Topic; D006454:Hemoglobins / Q000032:analysis; D007511:Ischemia / Q000097:blood / Q000378:metabolism / Q000503:physiopathology; D008433:Mathematics; D008833:Microcirculation; D008955:Models, Cardiovascular; D015233:Models, Statistical; D010101:Oxygen Consumption; D051381:Rats; D012584:Sciatic Nerve / Q000098:blood supply* / Q000378:metabolism; D012995:Solubility; D013997:Time Factors
D006454:Hemoglobins