P-28 Onset of Synchrony in Avian Ovulation Cycles

Presenter Status

MS Student in Mathematics & Science

Second Presenter Status

Department of Mathematics

Third Presenter Status

Department of Biology

Preferred Session

Poster Session

Location

Buller Hallway

Start Date

8-11-2012 3:00 PM

End Date

8-11-2012 5:00 PM

Presentation Abstract

Spontaneous oscillator synchrony occurs when populations of interacting oscillators begin cycling together. Synchrony has been documented in many physical and biological systems, including estrous/menstrual cycles in rats and humans. In previous work we showed that Glaucous-winged Gulls (Larus glaucescens) can lay eggs synchronously on an every-other-day schedule, and that synchrony increases with colony density. Here we pose a discrete-time model of avian ovulation to study the dynamics of synchronization. We prove the existence and uniqueness of an equilibrium solution which bifurcates to synchronous cycles as colony density increases.

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Nov 8th, 3:00 PM Nov 8th, 5:00 PM

P-28 Onset of Synchrony in Avian Ovulation Cycles

Buller Hallway

Spontaneous oscillator synchrony occurs when populations of interacting oscillators begin cycling together. Synchrony has been documented in many physical and biological systems, including estrous/menstrual cycles in rats and humans. In previous work we showed that Glaucous-winged Gulls (Larus glaucescens) can lay eggs synchronously on an every-other-day schedule, and that synchrony increases with colony density. Here we pose a discrete-time model of avian ovulation to study the dynamics of synchronization. We prove the existence and uniqueness of an equilibrium solution which bifurcates to synchronous cycles as colony density increases.