bioRxiv preprint doi: https://doi.org/10.1101/297671; this version posted April 9, 2018. The copyright holder for this preprint (which was not certified by peer review) is the author/funder. All rights reserved. No reuse allowed without permission. 1 Travelling waves in somitogenesis: collective cellular properties 2 emerge from time-delayed juxtacrine oscillation coupling 3 Tomas Tomka1, Dagmar Iber1,2,*, Marcelo Boareto1,2,* 4 Affiliations 5 1 Department of Biosystems Science and Engineering (D-BSSE), ETH Zurich, Mattenstrasse 26, 4058 6 Basel, Switzerland 7 2 Swiss Institute of Bioinformatics, Mattenstrasse 26, 4058 Basel, Switzerland. 8 *Correspondence to:
[email protected],
[email protected] 9 10 Key words 11 Somitogenesis, Hes/her oscillations, time delays, travelling waves, Notch signalling, mathematical 12 modelling 13 14 Abstract 15 The sculpturing of the vertebrate body plan into segments begins with the sequential formation of somites 16 in the presomitic mesoderm (PSM). The rhythmicity of this process is controlled by travelling waves of 17 gene expression. These kinetic waves emerge from coupled cellular oscillators and sweep across the 18 PSM. In zebrafish, the oscillations are driven by autorepression of her genes and are synchronized via 19 Notch signalling. Mathematical modelling has played an important role in explaining how collective 20 properties emerge from the molecular interactions. Increasingly more quantitative experimental data 21 permits the validation of those mathematical models, yet leads to increasingly more complex model 22 formulations that hamper an intuitive understanding of the underlying mechanisms. Here, we review 23 previous efforts, and design a mechanistic model of the her1 oscillator, which represents the 24 experimentally viable her7;hes6 double mutant.