Invariant grids for reaction kinetics
نویسندگان
چکیده
منابع مشابه
Invariant grids for reaction kinetics
In this paper, we review the construction of low-dimensional manifolds of reduced description for equations of chemical kinetics from the standpoint of the method of invariant manifold (MIM). MIM is based on a formulation of the condition of invariance as an equation, and its solution by Newton iterations. A grid-based version of MIM is developed. Generalizations to open systems are suggested. ...
متن کاملInvariant Grids: Method of Complexity Reduction in Reaction Networks
Complexity in the description of big chemical reaction networks has both structural (number of species and reactions) and temporal (very different reaction rates) aspects. A consistent way to make model reduction is to construct the invariant manifold which describes the asymptotic system behaviour. In this paper we present a discrete analog of this object: an invariant grid. The invariant grid...
متن کاملReaction rates for mesoscopic reaction-diffusion kinetics.
The mesoscopic reaction-diffusion master equation (RDME) is a popular modeling framework frequently applied to stochastic reaction-diffusion kinetics in systems biology. The RDME is derived from assumptions about the underlying physical properties of the system, and it may produce unphysical results for models where those assumptions fail. In that case, other more comprehensive models are bette...
متن کاملInvariant Manifolds for Physical and Chemical Kinetics
results about them. The function field K(X) is a subfield of K(X/Y ); one of the important questions is: when are K(X) and K(X/Y ) equal, in other words, when can all formal-rational functions on X/Y be extended to X? Many of the theorems state suitable conditions on X and Y under which K(X) = K(X/Y ). The other chapters in the second part deal with selected topics from formal geometry such as ...
متن کاملMethod of invariant manifold for chemical kinetics
In this paper, we review the construction of low-dimensional manifolds of reduced description for equations of chemical kinetics from the standpoint of the method of invariant manifold (MIM). MIM is based on a formulation of the condition of invariance as an equation, and its solution by Newton iterations. A review of existing alternative methods is extended by a thermodynamically consistent ve...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 2004
ISSN: 0378-4371
DOI: 10.1016/j.physa.2003.10.043