Gardner, Luke

Hay, Quintessa

Lewinski, Nastassja A.

Pak, Eunice

Reynolds, Angela M.

Roger, Liza M.

Segal, Rebecca A.

Shaw, Anna

English

VCU Scholars Compass

Virginia Commonwealth University VCU Scholars Compass Biology and Medicine Through Mathematics Conference 2023 May 17th, 11:40 AM - 12:00 PM A mathematical model for wound healing in reef-building coral Pocillopora damicornis Quintessa Hay Virginia Commonwealth University, hayq@vcu.edu Luke Gardner Virginia Commonwealth University, gardnerle@vcu.edu Eunice Pak Virginia Commonwealth University, pakej2@vcu.edu See next page for additional authors Follow this and additional works at: https://scholarscompass.vcu.edu/bamm  Part of the Marine Biology Commons, and the Ordinary Differential Equations and Applied Dynamics Commons https://scholarscompass.vcu.edu/bamm/2023/wed/2 This Event is brought to you for free and open access by the Dept. of Mathematics and Applied Mathematics at VCU Scholars Compass. It has been accepted for inclusion in Biology and Medicine Through Mathematics Conference by an authorized administrator of VCU Scholars Compass. For more information, please contact libcompass@vcu.edu. Presenter Information Quintessa Hay, Luke Gardner, Eunice Pak, Liza M. Roger, Rebecca A. Segal, Anna Shaw, Nastassja A. Lewinski, and Angela M. Reynolds This event is available at VCU Scholars Compass: https://scholarscompass.vcu.edu/bamm/2023/wed/2 A Mathematical Model for Wound Healing inReef-Building Coral Pocillopora damicornisQuintessa Hay1, Luke Gardner1, Eunice Pak3, Liza M. Roger2,4,Rebecca A. Segal1, Anna Shaw1, Nastassja A. Lewinski2, and Angela M. Reynolds11 Department of Mathematics & Applied Mathematics, Virginia Commonwealth University, Richmond, VA, USA.2 Department of Chemical & Life Science Engineering, Virginia Commonwealth University, Richmond, VA, USA.3 Department of Biomedical Engineering, Virginia Commonwealth University, Richmond, VA, USA.4 School of Molecular Sciences, Arizona State University, Tempe, AZ, USA.March 8, 2023Coral reefs, among the most diverse ecosystems in the ocean, currently face major threats due to multiplestressors such as pollution, unsustainable fishing practices, and perturbations in environmental parametersbrought on by climate change. Reefs also sustain regular wounding from other sea life and anthropomorphicpractices, adding to the list of environmental stressors. Recent reef preservation practices have even involvedintentional wounding by systematically breaking coral fragments and relocating them to revitalize damagedreefs. Despite its importance, very little research has explored the inner mechanisms of wound healing incorals. Some reef-building corals have been observed to initiate an immunological response similar to thoseobserved in humans and other vertebrates. Utilizing past models of inflammation and early proliferationand remodeling, we formulated a mechanistic model for wound healing in corals. The model consists of fourdifferential equations mediating wound debris, inflammation, proliferation, and wound closure. The model iscoupled with experimental data for linear and circular shaped wounds on Pocillopora damicornis fragments.A preliminary parameter set was obtained by fitting to the wound closure times obtained empirically and toexpected temporal trends observed in other coral species and in vertebrates. A variety of mathematical andstatistical methods were applied for model analysis including local sensitivity analysis. Results were usedto define an identifiable set of parameters. Alternative model behavior was also demonstrated by varyingparameter baseline values and the biological relevance was explored.Keywords: wound healing, coral reefs, mathematical modeling, differential equations, parameter estima-tion, sensitivity analysis1

A mathematical model for wound healing in reef-building coral Pocillopora damicornis

https://scholarscompass.vcu.edu/cgi/viewcontent.cgi?article=1587&context=bamm

A mathematical model for wound healing in reef-building coral Pocillopora damicornis

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