Journal of Mathematical and Fundamental Sciences
Vol. 47 No. 1 (2015)

Optimal Control of Isometric Muscle Dynamics

Robert Rockenfeller (Mathematisches Institut, Universität Koblenz-Landau, Germany)
Thomas Götz (Mathematisches Institut, Universität Koblenz-Landau, Germany)



Article Info

Publish Date
24 Mar 2015

Abstract

We use an indirect optimal control approach to calculate the optimal neural stimulation needed to obtain measured isometric muscle forces. The neural stimulation of the nerve system is hereby considered to be a control function (input) of the system 'muscle' that solely determines the muscle force (output). We use a well-established muscle  model and experimental data of isometric contractions. The model consists of coupled activation and contraction dynamics described by ordinary differential equations. To validate our results, we perform a comparison with commercial optimal control software.

Copyrights © 2015






Journal Info

Abbrev

jmfs

Publisher

Subject

Astronomy Chemistry Earth & Planetary Sciences Mathematics Physics

Description

Journal of Mathematical and Fundamental Sciences welcomes full research articles in the area of Mathematics and Natural Sciences from the following subject areas: Astronomy, Chemistry, Earth Sciences (Geodesy, Geology, Geophysics, Oceanography, Meteorology), Life Sciences (Agriculture, Biochemistry, ...