Abstract
A simplified model of the crustacean gastric mill network is considered. Rhythmic activity in this network has largely been attributed to half center oscillations driven by mutual inhibition. We use mathematical modeling and dynamical systems theory to show that rhythmic oscillations in this network may also depend on, or even arise from, a voltage-dependent electrical coupling between one of the cells in the half-center network and a projection neuron that lies outside of the network. This finding uncovers a potentially new mechanism for the generation of oscillations in neuronal networks.
Original language | English (US) |
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Pages (from-to) | 11-21 |
Number of pages | 11 |
Journal | Mathematical Biosciences |
Volume | 278 |
DOIs | |
State | Published - Aug 1 2016 |
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Modeling and Simulation
- General Biochemistry, Genetics and Molecular Biology
- General Immunology and Microbiology
- General Agricultural and Biological Sciences
- Applied Mathematics
Keywords
- Electrical coupling
- Half-center oscillator
- Phase-plane analysis