Oxygen and lactic acid transport in skeletal muscle

A mathematical model of oxygen and lactic acid transport in skeletal muscle is used to test the effects of reactive hyperemia on oxygen and lactic acid concentrations following a period of ischemia. The model is based on the Krogh cylinder as the geometrical representation of the functional unit of transport, i.e., a capillary and the tissue it supplies. Included in the mathematical development of the model are the convective and diffusive transport of the chemical species, the nonlinear aspects of oxygen and lactic acid kinetics, and the reversible reaction of oxygen with hemoglobin in capillary blood and myoglobin in the tissue. The steady-state solution to the model is obtained first as the baseline for the study. Ischemia is then simulated by the cessation of capillary blood flow. This is followed by a reactive hyperemic response that is a function of the occlusion duration. The general effect of reactive hyperemia is to shorten the time intervals for initial return of tissue oxygen levels and the washout of accumulated lactic acid and to maintain tissue oxygen levels above steady-state values.