@inproceedings{6ab74e5376f7474ab0e8d517ab36975c,
title = "An Extended Mathematical Model for Anterior-Posterior Patterning of Drosophila Wing Discs",
abstract = "Patterning and growth of Drosophila wing discs are controlled by the Decapentaplegic (Dpp) signaling pathways. It is very interesting to investigate mechanisms by which the highly asymmetric patterns of Thickveins (Tkv) and Phosphorylated Mothers Against Dpp (pMad) are established in Drosophila wing discs. In this work, we improved and extended a previous mathematical model which theoretically provided a comprehensive view of the formation of Tkv gradients. In particular, a decreasing Hill function is introduced to remove a model parameter constraint. Moreover, we attempt to further extend the model by incorporating Division abnormally delayed (Dally) which has been believed to play an important role in stabilizing Dpp signaling and patterning. It turns out that theoretical results by our extended model match key experimental observations quite well.",
keywords = "Dally, Dpp signaling, Drosophila wing disc, Morphogen gradient, Patterning, Tkv",
author = "Rahman, {Mohammad Rubayet} and Zhan Chen",
note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive license to Springer Nature Switzerland AG 2024.; 1st Southern Georgia Mathematics Conference, SGMC 2021 ; Conference date: 02-04-2021 Through 03-04-2021",
year = "2024",
doi = "10.1007/978-3-031-69710-4_1",
language = "English",
isbn = "9783031697098",
series = "Springer Proceedings in Mathematics and Statistics",
publisher = "Springer",
pages = "1--19",
editor = "Divine Wanduku and Shijun Zheng and Zhan Chen and Andrew Sills and Haomin Zhou and Ephraim Agyingi",
booktitle = "Applied Mathematical Analysis and Computations II - 1st SGMC",
address = "Germany",
}