Lucy Spardy from the Ohio State University Mathematical Biosciences
Institute will be visiting this Thursday, Dec 4. We will have a pizza
talk at noon. There will also be a 4 pm
Science Colloquium talk.
Phase locking in chains of half-center oscillators: an analysis of coordinated crayfish swimming
The crayfish swimmeret system exhibits a stable pattern during forward swimming – four pairs of limbs swing along the body of the animal with a delay of 25% of the stroke pattern. Interestingly, this posterior to anterior progression is maintained over a wide range of frequencies. Using a chain of weakly coupled half-center oscillators that are connected to reflect the known network topology, we show that a stable phase locked state exists under minimal conditions on the interaction function, and investigate analytically and numerically the contribution of long range coupling between limbs.
4 PM talk:
The neural mechanism underlying coordination in crayfish swimming
The crayfish swimmeret system exhibits a stable pattern during forward swimming, with four pairs of limbs swinging in a metachronal wave along the body of the animal. Interestingly, this posterior to anterior progression is maintained over a wide range of frequencies. Using a simplified oscillator model, we show that the architecture of the network promotes this particular pattern, and suggest that long range connections may have evolved to ensure its efficiency. Finally, we discuss the implications of our predictions in the context of a more realistic neuronal model.