Mathematical model to predict forces from skeletal muscle during brief trains of pulses

J. Piny, A. S. Wexler, S. A. Binder-Macleod

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Abstract

This study tests a mathematical model to predict skeletal muscle forces The model consists of three coupled DDEs. The first two equation represent calcium dynamics and the third force dynamics. The seven model parameters are identified using SAAMII and data from brief trains of regularly spaced pulses (constant-frequency trains (CFTs)) that produce subtetanic muscle responses. Using these parameters, the model is able to predict forces from other stimulation patterns. The model was tested using data from rat gastrocnemius (GM) and soleus muscles. For the GM the parameters are identified using CFTs with a 30 ms interpulse interval (IPI) and predictions are made for responses to CFTs with IPIs ranging from 10 to 50 ms. Also, variable-frequency trains (VFTs) are tested, where the initial IPI = 10 ms and the remaining IPIs are identical to those used in the CFTs. Soleus muscle model parameters are identified using 40 ms CFTs and predictions are made for 10 to 100 ms CFTs. The GM CFT data (N=7) show 4.0 to 8.2% differences in impulse between predicted and observed responses and the VFTs (N=5) show 3.2 to 11.6% differences. Thesoleus muscle CFTs (N=5) show 9.3 to 18.8% differences. The general shape of the predicted responses closely match the experimental data. These results suggest that the model accurately predicts skeletal muscle forces.

Original languageEnglish (US)
JournalFASEB Journal
Volume10
Issue number3
StatePublished - 1996
Externally publishedYes

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ASJC Scopus subject areas

  • Agricultural and Biological Sciences (miscellaneous)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Biochemistry
  • Cell Biology

Cite this

Piny, J., Wexler, A. S., & Binder-Macleod, S. A. (1996). Mathematical model to predict forces from skeletal muscle during brief trains of pulses. FASEB Journal, 10(3).