Simulating the motion of the leech: A biomechanical application of DAEs

Alscher C, Beyn W-J (1998)
Numerical Algorithms 19(1-4): 1-12.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor/in
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Abstract / Bemerkung
In this paper a mathematical model is developed for the dynamical behaviour of a hydrostatic skeleton. The basic configuration is taken from the worm-like shape of the medicinal leech. It consists of a sequence of hexahedra with damped elastic springs as edges to model the various parts of the musculature. The system is stabilized by the constraint of constant volume either in the whole body or in prescribed compartments. We set up Lagrange's equations of motion with the Lagrange multipliers being the pressure values in the compartments. The equations of motion lead to a large differential-algebraic system which is solved by an application of semi-explicit numerical methods. Though the model has not yet been adapted to experimental data, first simulations with a simplified set of parameters show that it is capable of generating basic movements of the leech such as crawling and swimming.
Stichworte
viscoelasticity; Lagrange's equations of motion; semi-explicit methods
Erscheinungsjahr
1998
Zeitschriftentitel
Numerical Algorithms
Band
19
Ausgabe
1-4
Seite(n)
1-12
ISSN
1017-1398
Page URI
https://pub.uni-bielefeld.de/record/1623606

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Alscher C, Beyn W-J. Simulating the motion of the leech: A biomechanical application of DAEs. Numerical Algorithms. 1998;19(1-4):1-12.
Alscher, C., & Beyn, W. - J. (1998). Simulating the motion of the leech: A biomechanical application of DAEs. Numerical Algorithms, 19(1-4), 1-12. doi:10.1023/A:1019146221279
Alscher, C., and Beyn, W. - J. (1998). Simulating the motion of the leech: A biomechanical application of DAEs. Numerical Algorithms 19, 1-12.
Alscher, C., & Beyn, W.-J., 1998. Simulating the motion of the leech: A biomechanical application of DAEs. Numerical Algorithms, 19(1-4), p 1-12.
C. Alscher and W.-J. Beyn, “Simulating the motion of the leech: A biomechanical application of DAEs”, Numerical Algorithms, vol. 19, 1998, pp. 1-12.
Alscher, C., Beyn, W.-J.: Simulating the motion of the leech: A biomechanical application of DAEs. Numerical Algorithms. 19, 1-12 (1998).
Alscher, Christian, and Beyn, Wolf-Jürgen. “Simulating the motion of the leech: A biomechanical application of DAEs”. Numerical Algorithms 19.1-4 (1998): 1-12.