Title
The significance of dynamical architecture for adaptive responses to mechanical loads during rhythmic behavior.
Abstract
Many behaviors require reliably generating sequences of motor activity while adapting the activity to incoming sensory information. This process has often been conceptually explained as either fully dependent on sensory input (a chain reflex) or fully independent of sensory input (an idealized central pattern generator, or CPG), although the consensus of the field is that most neural pattern generators lie somewhere between these two extremes. Many mathematical models of neural pattern generators use limit cycles to generate the sequence of behaviors, but other models, such as a heteroclinic channel (an attracting chain of saddle points), have been suggested. To explore the range of intermediate behaviors between CPGs and chain reflexes, in this paper we describe a nominal model of swallowing in . Depending upon the value of a single parameter, the model can transition from a generic limit cycle regime to a heteroclinic regime (where the trajectory slows as it passes near saddle points). We then study the behavior of the system in these two regimes and compare the behavior of the models with behavior recorded in the animal and . We show that while both pattern generators can generate similar behavior, the stable heteroclinic channel can better respond to changes in sensory input induced by load, and that the response matches the changes seen when a load is added . We then show that the underlying stable heteroclinic channel architecture exhibits dramatic slowing of activity when sensory and endogenous input is reduced, and show that similar slowing with removal of proprioception is seen . Finally, we show that the distributions of burst lengths seen are better matched by the distribution expected from a system operating in the heteroclinic regime than that expected from a generic limit cycle. These observations suggest that generic limit cycle models may fail to capture key aspects of feeding behavior, and that alternative architectures such as heteroclinic channels may provide better descriptions.
Year
DOI
Venue
2015
10.1007/s10827-014-0519-3
Journal of Computational Neuroscience
Keywords
Field
DocType
Aplysia,Heteroclinic channel,Central pattern generator,Chain reflex,Limit cycle
Nonlinear system,Saddle point,Control theory,Communication channel,Limit cycle,Mathematical model,Central pattern generator,Sensory system,Trajectory,Mathematics
Journal
Volume
Issue
ISSN
38
1
0929-5313
Citations 
PageRank 
References 
7
0.76
20
Authors
8
Name
Order
Citations
PageRank
Kendrick M. Shaw1393.64
David N. Lyttle2101.23
Jeffrey P. Gill3101.56
Miranda J. Cullins470.76
Jeffrey M. McManus570.76
Hui Lu681.16
Peter J. Thomas713341.24
Hillel J. Chiel8281133.42