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5 papers · 1 filter
One Hub-One Process: A Tool Based View on Regulatory Network Topology
Jacob Bock Axelsen, Sebastian Bernhardsson, Kim Sneppen
The relationship between the regulatory design and the functionality of molecular networks is a key issue in biology. Modules and motifs have been associated to various cellular pr…
Gauge symmetry and Slavnov-Taylor identities for randomly stirred fluids
A. Berera, D. Hochberg
The path integral for randomly forced incompressible fluids is shown to have an underlying Becchi-Rouet-Stora (BRS) symmetry as a consequence of Galilean invariance. This symmetry…
Mirror symmetry breaking as a problem in dynamical critical phenomena
David Hochberg, Maria-Paz Zorzano
The critical properties of the Frank model of spontaneous chiral synthesis are discussed by applying results from the field theoretic renormalization group (RG). The long time and…
Consequences of imperfect mixing in the Gray-Scott model
M. -P. Zorzano, D. Hochberg, F. Moran
We study an autocatalytic reaction-diffusion scheme, the Gray-Scott model, when the mixing processes do not homogenize the reactants. Starting from the master equation, we derive t…
Reaction-noise induced homochirality
David Hochberg, Maria-Paz Zorzano
Starting from the chemical master equation, we employ field theoretic techniques to derive Langevin-type equations that exactly describe the stochastic dynamics of the Frank chiral…