Mathematical model of muscular fatigue. I. Metabolite level changes during exercises of different intensities

To quantify muscular fatigue we study by a mathematical modelization the changes of the levels of ATP and various metabolites, and of the oxygen uptake with the intensity of a requested muscular exercise. The proposed model is consistent with the main phenomena experimentally observed during exercises; it allows also one to extrapolate these experimental results to any condition and to simulate exercise-complete and/or incomplete recovery cycles. The lactate kinetics allows one particularly to justify the empirical optimization of rest rhythms during exercises of long duration. Equations are solved using a 4th order Runge-Kutta method; computations are performed on an IRIS 80 CII computer.