TY - JOUR
T1 - Robust stochastic Turing patterns in the development of a one-dimensional cyanobacterial organism
AU - Di Patti, Francesca
AU - Lavacchi, Laura
AU - Arbel-Goren, Rinat
AU - Schein-Lubomirsky, Leora
AU - Fanelli, Duccio
AU - Stavans, Joel
N1 - JS is the incumbent of the Siegfried and Irma Ullman Professorial Chair. We thank A. Herrero and E. Flores for the gift of strains, reading the manuscript, and fruitful discussions. We also thank R. Botner for assistance in conducting experiments. We also acknowledge helpful conversations with N. Goldenfeld, E. Meron, N. Barkai, and N. Friedman. Funding: Siegried and Irma Ullman Professorial Chair to J.S. The funder had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript. COSMOS ITN EU to D.F. The funder had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript. Italian Ministero dell'Istruzione dell'Universita e della Ricerca (MIUR) http://www.miur.gov.it/ to D.F. The funder had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript. Minerva Stiftung http://www.minerva.mpg.de/ to J.S. The funder had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.
PY - 2018/5/4
Y1 - 2018/5/4
N2 - Under nitrogen deprivation, the one-dimensional cyanobacterial organism Anabaena sp. PCC 7120 develops patterns of single, nitrogen-fixing cells separated by nearly regular intervals of photosynthetic vegetative cells. We study a minimal, stochastic model of developmental patterns in Anabaena that includes a nondiffusing activator, two diffusing inhibitor morphogens, demographic fluctuations in the number of morphogen molecules, and filament growth. By tracking developing filaments, we provide experimental evidence for different spatiotemporal roles of the two inhibitors during pattern maintenance and for small molecular copy numbers, justifying a stochastic approach. In the deterministic limit, the model yields Turing patterns within a region of parameter space that shrinks markedly as the inhibitor diffusivities become equal. Transient, noise-driven, stochastic Turing patterns are produced outside this region, which can then be fixed by downstream genetic commitment pathways, dramatically enhancing the robustness of pattern formation, also in the biologically relevant situation in which the inhibitors' diffusivities may be comparable.
AB - Under nitrogen deprivation, the one-dimensional cyanobacterial organism Anabaena sp. PCC 7120 develops patterns of single, nitrogen-fixing cells separated by nearly regular intervals of photosynthetic vegetative cells. We study a minimal, stochastic model of developmental patterns in Anabaena that includes a nondiffusing activator, two diffusing inhibitor morphogens, demographic fluctuations in the number of morphogen molecules, and filament growth. By tracking developing filaments, we provide experimental evidence for different spatiotemporal roles of the two inhibitors during pattern maintenance and for small molecular copy numbers, justifying a stochastic approach. In the deterministic limit, the model yields Turing patterns within a region of parameter space that shrinks markedly as the inhibitor diffusivities become equal. Transient, noise-driven, stochastic Turing patterns are produced outside this region, which can then be fixed by downstream genetic commitment pathways, dramatically enhancing the robustness of pattern formation, also in the biologically relevant situation in which the inhibitors' diffusivities may be comparable.
U2 - https://doi.org/10.1371/journal.pbio.2004877
DO - https://doi.org/10.1371/journal.pbio.2004877
M3 - مقالة
SN - 1544-9173
VL - 16
JO - PLoS Biology
JF - PLoS Biology
IS - 5
M1 - 2004877
ER -