Pattern formation of stationary transcellular ionic currents in Fucus

Proceedings of the National Academy of Sciences of the United States of America
M LéonettiFabrice Homble

Abstract

Stationary and nonstationary spatiotemporal pattern formations emerging from the cellular electric activity are a common feature of biological cells and tissues. The nonstationary ones are well explained in the framework of the cable model. Inversely, the formation of the widespread self-organized stationary patterns of transcellular ionic currents remains elusive, despite their importance in cell polarization, apical growth, and morphogenesis. For example, the nature of the breaking symmetry in the Fucus zygote, a model organism for the experimental investigation of embryonic pattern formation, is still an open question. Using an electrodiffusive model, we report here an unexpected property of the cellular electric activity: a phase-space domain that gives rise to stationary patterns of transcellular ionic currents at finite wavelength. The cable model cannot predict this instability. In agreement with experiments, the characteristic time is an ionic diffusive one (<2 min). The critical radius is of the same order of magnitude as the cell radius (30 microm). The generic salient features are a global positive differential conductance, a negative differential conductance for one ion, and a difference between the diffusive coeffi...Continue Reading

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Citations

Apr 25, 2008·Proceedings of the National Academy of Sciences of the United States of America·Yoichiro MoriCharles S Peskin
Jul 14, 2007·Current Opinion in Genetics & Development·Hans Meinhardt
Nov 8, 2016·PLoS Computational Biology·Geir HalnesGaute T Einevoll
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Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Falko ZiebertDavid Lacoste
Jun 29, 2006·Physical Review Letters·Marc LeonettiFabrice Homble
Dec 31, 2005·Physical Review Letters·M LeonettiF Homble
Jan 27, 2015·The Journal of Physical Chemistry. B·Javier CerveraSalvador Mafe
Oct 8, 2014·The Journal of Physical Chemistry. B·Javier CerveraSalvador Mafe

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