Noise-induced temporal dynamics in Turing systems.

作者: Linus J. Schumacher , Thomas E. Woolley , Ruth E. Baker

DOI: 10.1103/PHYSREVE.87.042719

关键词:

摘要: We examine the ability of intrinsic noise to produce complex temporal dynamics in Turing pattern formation systems, with particular emphasis on Schnakenberg kinetics. Using power spectral methods, we characterize behavior system using stochastic simulations at a wide range points parameter space and compare analytical approximations. Specifically, investigate whether polarity switching patterns occurs defined frequency. find that it can do so individual realizations simulation, but frequency is not consistently across our samples space. Further, effect deterministically predicted traveling waves them increased amplitude decreased speed.

参考文章(21)
Philip K. Maini, Thomas E. Woolley, Ruth E. Baker, Eamonn A. Gaffney, S. Seirin Lee, Turing's model for biological pattern formation and the robustness problem. Interface Focus. ,vol. 2, pp. 487- 496 ,(2012) , 10.1098/RSFS.2011.0113
Alan Mathison Turing, The Chemical Basis of Morphogenesis Philosophical Transactions of the Royal Society B. ,vol. 237, pp. 37- 72 ,(1952) , 10.1098/RSTB.1952.0012
Thomas Butler, Nigel Goldenfeld, Robust ecological pattern formation induced by demographic noise Physical Review E. ,vol. 80, pp. 030902- ,(2009) , 10.1103/PHYSREVE.80.030902
Thomas Butler, Nigel Goldenfeld, Fluctuation-driven Turing patterns. Physical Review E. ,vol. 84, pp. 011112- ,(2011) , 10.1103/PHYSREVE.84.011112
Carlos A. Lugo, Alan J. McKane, Quasicycles in a spatial predator-prey model. Physical Review E. ,vol. 78, pp. 051911- ,(2008) , 10.1103/PHYSREVE.78.051911
A. J. McKane, T. J. Newman, Stochastic models in population biology and their deterministic analogs Physical Review E. ,vol. 70, pp. 041902- ,(2004) , 10.1103/PHYSREVE.70.041902
JL Aragón, RA Barrio, TE Woolley, RE Baker, PK Maini, None, Nonlinear effects on Turing patterns: time oscillations and chaos. Physical Review E. ,vol. 86, pp. 026201- ,(2012) , 10.1103/PHYSREVE.86.026201
A. J. McKane, J. D. Nagy, T. J. Newman, M. O. Stefanini, Amplified Biochemical Oscillations in Cellular Systems Journal of Statistical Physics. ,vol. 128, pp. 165- 191 ,(2007) , 10.1007/S10955-006-9221-9
Thierry Dauxois, Francesca Di Patti, Duccio Fanelli, Alan J. McKane, Enhanced stochastic oscillations in autocatalytic reactions. Physical Review E. ,vol. 79, pp. 036112- ,(2009) , 10.1103/PHYSREVE.79.036112
Tommaso Biancalani, Tobias Galla, Alan J. McKane, Stochastic waves in a Brusselator model with nonlocal interaction Physical Review E. ,vol. 84, pp. 026201- ,(2011) , 10.1103/PHYSREVE.84.026201