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http://dx.doi.org/10.18419/opus-9115
Autor(en): | Rockenfeller, Robert Günther, Michael Schmitt, Syn Götz, Thomas |
Titel: | Comparative sensitivity analysis of muscle activation dynamics |
Erscheinungsdatum: | 2015 |
Dokumentart: | Zeitschriftenartikel |
Seiten: | 16 |
Erschienen in: | Computational and mathematical methods in medicine (2015), article ID 585409 |
URI: | http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-91326 http://elib.uni-stuttgart.de/handle/11682/9132 http://dx.doi.org/10.18419/opus-9115 |
ISSN: | 1748-6718 1748-670X |
Bemerkungen: | Open Access under Creative Commons Attribution License |
Zusammenfassung: | 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. |
Enthalten in den Sammlungen: | 15 Fakultätsübergreifend / Sonstige Einrichtung |
Dateien zu dieser Ressource:
Datei | Beschreibung | Größe | Format | |
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compmathmethmed_rockenfeller2015.pdf | 2,39 MB | Adobe PDF | Öffnen/Anzeigen |
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