Mathematical model of pennate muscle

Wiktoria Wojnicz; Bartłomiej Zagrodny; Michał Ludwicki; Jan Awrejcewicz; Edmund Wittbrodt

Mathematical model of pennate muscle

Abstract

The purpose of this study is to create a new mathematical model of pennate striated skeletal muscle. This new model describes behaviour of isolated flat pennate muscle in two dimensions (2D) by taking into account that rheological properties of muscle fibres depend on their planar arrangement. A new mathematical model is implemented in two types: 1) numerical model of unipennate muscle (unipennate model); 2) numerical model of bipennate muscle (bipennate model). Applying similar boundary conditions and similar load, proposed numerical models had been tested. Obtained results were compared with results of numerical researches by applying a Hill-Zajac muscle model (this is a Hill type muscle model, in which the angle of pennation is taken into consideration) and a fusiform muscle model (a muscle is treated as a structure composed of serially linked different mechanical properties parts).

Authors (5)

Wiktoria Wojnicz dr hab. inż.
Bartłomiej Zagrodny dr inż.
- Politechnika Łódzka Katedra Automatyki, Biomechaniki i Mechatroniki
Michał Ludwicki dr inż.
- Politechnika Łódzka Katedra Automatyki, Biomechaniki i Mechatroniki
Jan Awrejcewicz prof. dr hab. inż
- Politechnika Łódzka Katedra Automatyki, Biomechaniki i Mechatroniki
Edmund Wittbrodt prof. dr hab. inż.

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Keywords

MUSCLE, MODELLING, RHEOLOGICAL MODEL

Details

Category:: Monographic publication
Type:: rozdział, artykuł w książce - dziele zbiorowym /podręczniku w języku o zasięgu międzynarodowym
Title of issue:: W : Dynamical Systems : Mechatronics and Life Sciences strony 595 - 608
Language:: English
Publication year:: 2015
Bibliographic description:: Wojnicz W., Zagrodny B., Ludwicki M., Awrejcewicz J., Wittbrodt E.: Mathematical model of pennate muscle// W : Dynamical Systems : Mechatronics and Life Sciences/ ed. Awrejcewicz J., Kaźmierczak M., Mrozowski J., Olejnik P. Łódź: Department of Automation, Biomechanics and Mechatronics, 2015, s.595-608
Verified by:: Gdańsk University of Technology