Journal of Applied Physiology Virginia Commonwealth University
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J Appl Physiol 82: 329-335, 1997;
8750-7587/97 $5.00
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Journal of Applied Physiology
Vol. 82, No. 1, pp. 329-335, January 1997

modeling in physiology

A model for phosphocreatine resynthesis

Alan M. Nevill1, David A. Jones2, David McIntyre2, Gregory C. Bogdanis3, and Mary E. Nevill3

1 School of Human Sciences, Liverpool John Moores University, Liverpool L3 3AK; 2 School of Sport and Exercise Sciences, University of Birmingham, Birmingham, B15 2TT; and 3 Department of Physical Education and Sport Science, Loughborough University, Loughborough, LE11 3TU, United Kingdom

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.---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).

modeling; overshoot; nonlinear least squares; second-order differential equation


0161-7567/97 $5.00 Copyright © 1997 the American Physiological Society




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