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1 School of Human Sciences,
Received 27 January 1995; accepted in final form 11 September
1996.
Nevill, Alan M., David A. Jones, David McIntyre, Gregory C. Bogdanis, and Mary E. Nevill. A model for
phosphocreatine resynthesis. J. Appl.
Physiol. 82(1): 329-335, 1997.
modeling; overshoot; nonlinear least squares; second-order
differential equation
A model for phosphocreatine (PCr) resynthesis is proposed based on a simple electric circuit, where the PCr store in muscle is likened to the
stored charge on the capacitor. The solution to the second-order differential equation that describes the potential around the circuit
suggests the model for PCr resynthesis is given by
PCr(t) = R
[d1 · exp(
k1 · t) ± d2 · exp(
k2 · t)],
where R is PCr concentration at rest,
d1,
d2, k1, and
k2 are constants, and
t is time. By using nonlinear least
squares regression, this double-exponential model was shown to fit the
PCr recovery data taken from two studies involving maximal exercise
accurately. In study 1, when the
muscle was electrically stimulated while occluded, PCr concentrations rose during the recovery phase to a level above that observed at rest.
In study 2, after intensive dynamic
exercise, PCr recovered monotonically to resting concentrations. The
second exponential term in the double-exponential model was found to
make a significant additional contribution to the quality of fit in
both study 1 (P < 0.05) and
study 2 (P < 0.01).
0161-7567/97 $5.00
Copyright © 1997 the American Physiological Society
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