A mathematical model for the induction of the mammalian ureteric bud

Lawson, Brodie A. J. and Flegg, Mark B. (2016) A mathematical model for the induction of the mammalian ureteric bud. Journal of Theoretical Biology, 394 43-56. doi:10.1016/j.jtbi.2015.12.025

Author Lawson, Brodie A. J.
Flegg, Mark B.
Title A mathematical model for the induction of the mammalian ureteric bud
Journal name Journal of Theoretical Biology   Check publisher's open access policy
ISSN 1095-8541
Publication date 2016-04-07
Sub-type Article (original research)
DOI 10.1016/j.jtbi.2015.12.025
Open Access Status Not Open Access
Volume 394
Start page 43
End page 56
Total pages 14
Place of publication London, United Kingdom
Publisher Academic Press
Collection year 2017
Language eng
Abstract Congenital abnormalities of the kidney and urinary tract collectively form the most common type of prenatally diagnosed malformations. Whilst many of the crucial genes that direct the kidney developmental program are known, the mechanisms by which kidney organogenesis is achieved is still largely unclear. In this paper, we propose a mathematical model for the localisation of the ureteric bud, the precursor to the ureter and collecting duct system of the kidney. The mathematical model presented fundamentally implicates Schnakenberg-like ligand-receptor Turing patterning as the mechanism by which the ureteric bud is localised on the Wolfian duct as proposed by Menshykaul and Iber (2013). This model explores the specific roles of regulatory proteins GREM1 and BMP as well as the domain properties of GDNF production. Our model demonstrates that this proposed pattern formation mechanism is capable of naturally predicting the phenotypical outcomes of many genetic experiments from the literature. Furthermore, we conclude that whilst BMP inhibits GDNF away from the budding site and GREM1 permits GDNF to signal, GREM1 also stabilises the effect of BMP on GDNF signalling from fluctuations in BMP sensitivity but not signal strength.
Keyword Developmental biology
Kidney morphogenesis
Mathematical biology
Partial differential equations
Turing patterning
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
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