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Stability of planar fronts for a non--local phase kinetics equation with a conservation law in $D \le 3$
phase kinetics fronts non-linear stability non local equation
2011/9/21
Abstract: We consider, in a $D-$dimensional cylinder, a non--local evolution equation that describes the evolution of the local magnetization in a continuum limit of an Ising spin system with Kawasaki...
Variable elimination in post-translational modification reaction networks with mass-action kinetics
Polynomial equations Mass-action kinetics MAPK cascade Rational functions Chemical Reaction Networks
2011/10/8
Abstract: We define a subclass of Chemical Reaction Networks called Post-Translational Modification systems. Important biological examples of such systems include MAPK cascades and two-component syste...
ReactionKinetics - A Mathematica package with applications II. Computational problems when building a reaction kinetics package
kinetics numerical analysis simulation parameter identification decomposition of overall reactions combustion
2011/9/9
Abstract: Treating a realistic problem in any field of reaction kinetics raises a series of problems: we review these illustrated with examples using ReactionKinetics, a Mathematica based package.
ReactionKinetics---A Mathematica Package with Applications I. Requirements for a Reaction Kinetics Package
kinetics mathematical modelling dynamic simulation computational chemistry graphs of reactions
2011/9/9
Abstract: Requirements are formulated for a reaction kinetics package to be useful for an as wide as possible circle of users and illustrated with examples using ReactionKinetics, a Mathematica based ...
Weak Dynamic Non-Emptiability and Persistence of Chemical Kinetics Systems
chemical kinetics dynamically non-emptiable siphons complex balanced
2010/11/29
A frequently desirable characteristic of chemical kinetics systems is that of persistence, the property that no initially present species may tend toward extinction. It is known that solutions of dete...
We study statistics of first passage inside a cone in arbitrary spatial dimension. The probability that a diffusing particle avoids the cone boundary decays algebraically with time. The decay exponent...