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Comparative Sensitivity Analysis of Muscle Activation Dynamics
Joint Authors
Günther, Michael
Rockenfeller, Robert
Götz, Thomas
Schmitt, Syn
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-08-31
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
We mathematically compared two models of mammalian striated muscle activation dynamics proposed by Hatze and Zajac.
Both models are representative for a broad variety of biomechanical models formulated as ordinary differential equations (ODEs).
These models incorporate parameters that directly represent known physiological properties.
Other parameters have been introduced to reproduce empirical observations.
We used sensitivity analysis to investigate the influence of model parameters on the ODE solutions.
In addition, we expanded an existing approach to treating initial conditions as parameters and to calculating second-order sensitivities.
Furthermore, we used a global sensitivity analysis approach to include finite ranges of parameter values.
Hence, a theoretician striving for model reduction could use the method for identifying particularly low sensitivities to detect superfluous parameters.
An experimenter could use it for identifying particularly high sensitivities to improve parameter estimation.
Hatze’s nonlinear model incorporates some parameters to which activation dynamics is clearly more sensitive than to any parameter in Zajac’s linear model.
Other than Zajac’s model, Hatze’s model can, however, reproduce measured shifts in optimal muscle length with varied muscle activity.
Accordingly we extracted a specific parameter set for Hatze’s model that combines best with a particular muscle force-length relation.
American Psychological Association (APA)
Rockenfeller, Robert& Günther, Michael& Schmitt, Syn& Götz, Thomas. 2015. Comparative Sensitivity Analysis of Muscle Activation Dynamics. Computational and Mathematical Methods in Medicine،Vol. 2015, no. 2015, pp.1-16.
https://search.emarefa.net/detail/BIM-1057946
Modern Language Association (MLA)
Rockenfeller, Robert…[et al.]. Comparative Sensitivity Analysis of Muscle Activation Dynamics. Computational and Mathematical Methods in Medicine No. 2015 (2015), pp.1-16.
https://search.emarefa.net/detail/BIM-1057946
American Medical Association (AMA)
Rockenfeller, Robert& Günther, Michael& Schmitt, Syn& Götz, Thomas. Comparative Sensitivity Analysis of Muscle Activation Dynamics. Computational and Mathematical Methods in Medicine. 2015. Vol. 2015, no. 2015, pp.1-16.
https://search.emarefa.net/detail/BIM-1057946
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1057946