%0 Book Section %1 statphys23_0997 %A Ares, S. %A Morelli, L.G. %A Herrgen, L. %A Schroeter, C. %A Oates, A.C. %A Juelicher, F. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K biology biophysics developmental dynamics formation nonlinear pattern somitogenesis statphys23 topic-10 %T Waves of gene expression in vertebrate segmentation %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=997 %X During vertebrate development, the body axis segments sequentially from the head to the tail of the embryo. This process is driven by genetic oscillators together with a moving determination front that slows down and arrests the oscillators. As a result, waves of gene expression propagate along the body axis. We propose a theoretical description based on coupled phase oscillators that describes the patterns of gene expression observed in experiments, both in wild type and mutants. Based on experimental evidence our description introduces a frequency profile, together with a moving boundary that describes axis elongation. To account for the time it takes for signaling molecules to be produced and exported to the cell membrane we include a time delay in the coupling. We derive analytical expressions for the wavelength of the patterns and the period of oscillations.

@incollection{statphys23_0997, abstract = {During vertebrate development, the body axis segments sequentially from the head to the tail of the embryo. This process is driven by genetic oscillators together with a moving determination front that slows down and arrests the oscillators. As a result, waves of gene expression propagate along the body axis. We propose a theoretical description based on coupled phase oscillators that describes the patterns of gene expression observed in experiments, both in wild type and mutants. Based on experimental evidence our description introduces a frequency profile, together with a moving boundary that describes axis elongation. To account for the time it takes for signaling molecules to be produced and exported to the cell membrane we include a time delay in the coupling. We derive analytical expressions for the wavelength of the patterns and the period of oscillations.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Ares, S. and Morelli, L.G. and Herrgen, L. and Schroeter, C. and Oates, A.C. and Juelicher, F.}, biburl = {https://www.bibsonomy.org/bibtex/2919fc486ee3de3caf01fda0c4c5c1b73/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {2ec8d41eab855cff5e251a0212754325}, intrahash = {919fc486ee3de3caf01fda0c4c5c1b73}, keywords = {biology biophysics developmental dynamics formation nonlinear pattern somitogenesis statphys23 topic-10}, month = {9-13 July}, timestamp = {2007-06-20T10:16:36.000+0200}, title = {Waves of gene expression in vertebrate segmentation}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=997}, year = 2007 }