Term of Award

Summer 2021

Degree Name

Master of Science in Mathematics (M.S.)

Document Type and Release Option

Thesis (restricted to Georgia Southern)

Copyright Statement / License for Reuse

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.

Department

Department of Mathematical Sciences

Committee Chair

Zhan Chen

Committee Member 1

Goran Lesaja

Committee Member 2

Yan Wu

Abstract

In developmental biology, the wing imaginal disc (wing disc) of Drosophila melanogaster, which is a fruit fly, is generally considered as the perfect structure to examine patterns and growth. The Decapentaplegic (DPP) signaling pathways govern various aspects of wing development and are among the most essential and well-studied pathways in the wing disc. Tickveins (Tkv), which is a DPP type I major receptor, modulates the activity and distribution of Decapentaplegic signaling during the formation of the wing disc. We improved an existing mathematical model in this work to investigate the generation of p-Mad (Dpp signaling activity indicator) and Tkv gradient. In addition, we have compared the numerical profile with the experimental observations to validate our improved model. Also, we have incorporated Dally (co-receptor of Dpp signaling) in the improved mathematical model and validated it. Moreover, we have analyzed the stability of the system after incorporating Dally in the model.

Research Data and Supplementary Material

No

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