The O(n) model on the annulus
JOURNAL OF STATISTICAL PHYSICS 125:1 (2006) 1-21
Morphogen gradient from a noisy source.
Phys Rev Lett 94:7 (2005) 078101
Abstract:
We investigate the effect of time-dependent noise on the shape of a morphogen gradient in a developing embryo. Perturbation theory is used to calculate the deviations from deterministic behavior in a simple reaction-diffusion model of robust gradient formation, and the results are confirmed by numerical simulation. It is shown that such deviations can disrupt robustness for sufficiently high noise levels, and the implications of these findings for more complex models of gradient-shaping pathways are discussed.Network models in class C on arbitrary graphs
Communications in Mathematical Physics 258 (2005) 87-102
Evolution of entanglement entropy in one-dimensional systems
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2005) ARTN P04010
Morphogen gradient from a noisy source
PHYSICAL REVIEW LETTERS 94:7 (2005) ARTN 078101