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Your search keyword '"Segal, Rebecca"' showing total 3 results
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3 results on '"Segal, Rebecca"'

1. Mathematical Modeling for Women’s Health

Author

Ford Versypt, Ashlee N., Segal, Rebecca A., and Sindi, Suzanne S.

Subjects
Dynamical Systems, Parameter estimation, Differential equations, Optimization, Data science, thema EDItEUR::P Mathematics and Science::PS Biology, life sciences::PSA Life sciences: general issues::PSAX Computational biology / bioinformatics, thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics::PBWH Mathematical modelling, thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TB Technology: general issues::TBJ Maths for engineers
Abstract

The purpose of this work is to focus mathematical modeling on issues affecting women’s health. Working in six collaborative teams, researchers developed new mathematical models to address questions in a range of application areas. Topics include HIV, oral contraceptives, blood clotting, breast cancer, neonatal respiration, and outbreak forecasting. The work is the result of newly formed collaborative groups begun during the Collaborative Workshop for Women in Mathematical Biology hosted by the Institute of Mathematics and its Applications and UnitedHealth Group Optum in June 2022. This is an open access book.

Published
2024
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3. A Differential Equation Model of Collagen Accumulation in a Healing Wound.

Author

Segal, Rebecca, Diegelmann, Robert, Ward, Kevin, and Reynolds, Angela

Subjects
*DIFFERENTIAL equations, *COLLAGEN, *WOUND healing, *FIBROBLASTS, *INFLAMMATION, *BIOLOGICAL mathematical modeling
Abstract

Wound healing is a complex biological process which involves many cell types and biochemical signals and which progresses through multiple, overlapping phases. In this manuscript, we develop a model of collagen accumulation as a marker of wound healing. The mathematical model is a system of ordinary differential equations which tracks fibroblasts, collagen, inflammation and pathogens. The model was validated by comparison to the normal time course of wound healing where appropriate activity for the inflammatory, proliferative and remodeling phases was recorded. Further validation was made by comparison to collagen accumulation experiments by Madden and Peacock (Ann. Surg. 174(3):511-520, ). The model was then used to investigate the impact of local oxygen levels on wound healing. Finally, we present a comparison of two wound healing therapies, antibiotics and increased fibroblast proliferation. This model is a step in developing a comprehensive model of wound healing which can be used to develop and test new therapeutic treatments. [ABSTRACT FROM AUTHOR]

Published
2012
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