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Neurologically Motivated Coupling Functions in Models of Motor Coordination
Piotr Słowiński1, Sohaib Al-Ramadhani2, Krasimira Tsaneva-Atanasova3
1Department of Mathematics and the Living Systems Institute, Translational Research Exchange @Exeter, University of Exeter, Exeter EX4 4QD, UK (http://emps.exeter.ac.uk/mathematics/staff/pms210).
SIAM Journal on Applied Dynamical Systems
|January 30, 2020
Summary
This study analyzes coupled Haken-Kelso-Bunz (HKB) oscillators, revealing how time delay and feedback influence synchronization. Findings explain amplitude decrease and anti-phase instability in rhythmic movements.
Area of Science:
- Neuroscience
- Dynamical Systems Theory
- Biophysics
Background:
- The Haken-Kelso-Bunz (HKB) model describes coupled oscillator systems relevant to motor control.
- Experimental observations include decreased oscillation amplitude and loss of anti-phase stability.
Purpose of the Study:
- To analyze Haken-Kelso-Bunz (HKB) oscillators coupled via a neurologically motivated function.
- To investigate the impact of time delay and feedback on synchronization.
- To identify parameters explaining experimental observations like amplitude decrease and anti-phase instability.
Main Methods:
- Theoretical and numerical analysis of coupled HKB oscillators.
- Modeling neurologically motivated coupling with time delay and weighted feedback.
- Investigating emergence of in-phase and anti-phase oscillations.
Main Results:
- A combination of cross-talk, nonlinearity, and time delay quantitatively explains amplitude decrease and anti-phase instability.
- These effects are frequency-dependent.
- The model captures transitions between discrete and rhythmic movements.
Conclusions:
- The modified HKB model with physiologically relevant parameters accurately reproduces key experimental observations.
- This framework advances understanding of synchronization phenomena in biological systems.
- It provides insights into the neural control of rhythmic and discrete movements.
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