An Improved Mathematical Model for Anterior-posterior Patterning of Drosophila Wing Disc

Location

College of Science and Mathematics (COSM)

Session Format

Oral Presentation

Co-Presenters and Faculty Mentors or Advisors

Dr. Zhan Chen

Abstract

The wing imaginal disc (wing disc) of the fruit fly, Drosophila melanogaster is widely considered as the model organism in developmental biology to study patterns and growth. In the wing disc, one of the most important and extensively studied pathways is the Decapentaplegic (DPP) signaling pathway as it regulates several aspects of wing development, such as the anterior-posterior patterning, cellular growth rate and cell adhesion. DPP signaling has its major type I receptor, Thickveins (Tkv) which partially controls the activity and distribution of DPP signaling in the wing disc. In this work, we have improved a baseline mathematical model to investigate the formation of pMad (an indicator of DPP signaling activities) and Tkv gradient. We have shown that the improved model can reproduce the complex asymmetric expression of Tkv and pMad in both anterior and posterior compartments of the wing discs. The comparison between the numerical profile and the experimental observations validates our improved model and provides us with a larger scope and platform for further analysis. Also, we incorporated Dally in the improved mathematical model, which is the co-receptor of the DPP signaling and explained the revised DPP module.

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Creative Commons License
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Presentation (Open Access)

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An Improved Mathematical Model for Anterior-posterior Patterning of Drosophila Wing Disc

College of Science and Mathematics (COSM)

The wing imaginal disc (wing disc) of the fruit fly, Drosophila melanogaster is widely considered as the model organism in developmental biology to study patterns and growth. In the wing disc, one of the most important and extensively studied pathways is the Decapentaplegic (DPP) signaling pathway as it regulates several aspects of wing development, such as the anterior-posterior patterning, cellular growth rate and cell adhesion. DPP signaling has its major type I receptor, Thickveins (Tkv) which partially controls the activity and distribution of DPP signaling in the wing disc. In this work, we have improved a baseline mathematical model to investigate the formation of pMad (an indicator of DPP signaling activities) and Tkv gradient. We have shown that the improved model can reproduce the complex asymmetric expression of Tkv and pMad in both anterior and posterior compartments of the wing discs. The comparison between the numerical profile and the experimental observations validates our improved model and provides us with a larger scope and platform for further analysis. Also, we incorporated Dally in the improved mathematical model, which is the co-receptor of the DPP signaling and explained the revised DPP module.