Katie Lotterhos
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Models of turbulent diffusion

The setting stage of a Montastraea coral. Coral bundles swell inside the polyps as they move upward. This stage lasts about 20 minutes. Photo by Raphael Williams.

Spawning of coral bundles from a Montastraea coral. Bundles are released almost silmutaneously across the entire coral head, and float up to the surface where they break apart.

 

Broadcast spawning organisms depend on water motion to bring sperm and eggs together. Diffusion models of gamete mixing can give insight into spawning behavior and patterns of fertilization success. Some taxa, such as sea urchins, emit gametes over a period of time in a plume, a process for which theoretical models have been developed and verified experimentally in marine systems. However, analogous models for broadcast spawners who release gametes in an explosive puff have not been applied to natural systems.

I have been working with my advisor, Don Levitan, on a model of turbulent diffusion from a point source, which is time dependent as sperm rapidly diffuse from the source. We use the model to estimate how sperm diffuse from gamete bundles, and how gamete bundles diffuse from the coral, Montastraea franksi. Combining these models allows us to examine the resulting sperm cloud from a single coral head as a function of time, and predicted sperm concentrations are within those observed during a spawning event.

The parameters of the model were easily established by videotaping the diffusion of materials in the field, and using these vidoes to calculate diffusion coefficients.

 

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