Universität zu Köln

Yeldesbay, Azamat ORCID: 0000-0003-0800-7197, Toth, Tibor and Daun, Silvia ORCID: 0000-0001-7342-1015 (2018). The role of phase shifts of sensory inputs in walking revealed by means of phase reduction. J. Comput. Neurosci., 44 (3). S. 313 - 340. DORDRECHT: SPRINGER. ISSN 1573-6873

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Abstract

Detailed neural network models of animal locomotion are important means to understand the underlying mechanisms that control the coordinated movement of individual limbs. Daun-Gruhn and Tth, Journal of Computational Neuroscience 31(2), 43-60 (2011) constructed an inter-segmental network model of stick insect locomotion consisting of three interconnected central pattern generators (CPGs) that are associated with the protraction-retraction movements of the front, middle and hind leg. This model could reproduce the basic locomotion coordination patterns, such as tri- and tetrapod, and the transitions between them. However, the analysis of such a system is a formidable task because of its large number of variables and parameters. In this study, we employed phase reduction and averaging theory to this large network model in order to reduce it to a system of coupled phase oscillators. This enabled us to analyze the complex behavior of the system in a reduced parameter space. In this paper, we show that the reduced model reproduces the results of the original model. By analyzing the interaction of just two coupled phase oscillators, we found that the neighboring CPGs could operate within distinct regimes, depending on the phase shift between the sensory inputs from the extremities and the phases of the individual CPGs. We demonstrate that this dependence is essential to produce different coordination patterns and the transition between them. Additionally, applying averaging theory to the system of all three phase oscillators, we calculate the stable fixed points - they correspond to stable tripod or tetrapod coordination patterns and identify two ways of transition between them.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Yeldesbay, Azamat UNSPECIFIED orcid.org/0000-0003-0800-7197 UNSPECIFIED Toth, Tibor UNSPECIFIED UNSPECIFIED UNSPECIFIED Daun, Silvia UNSPECIFIED orcid.org/0000-0001-7342-1015 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-183452
DOI:	10.1007/s10827-018-0681-0
Journal or Publication Title:	J. Comput. Neurosci.
Volume:	44
Number:	3
Page Range:	S. 313 - 340
Date:	2018
Publisher:	SPRINGER
Place of Publication:	DORDRECHT
ISSN:	1573-6873
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language STICK INSECT WALKING; CENTRAL PATTERN GENERATORS; INTER-LEG COORDINATION; OSCILLATOR MODELS; LOCOMOTION; SYSTEM; ORGANIZATION; RELAXATION; SIMULATION; MOVEMENTS Multiple languages Mathematical & Computational Biology; Neurosciences Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/18345