Sentence examples for mass action systems from inspiring English sources

Simple necessary and sufficient conditions are given for detailed balancing in mass action systems of arbitrary complexity.

The first step in the phenotypic deconstruction of these nonlinear models is to recast them into a generic form known as a generalized mass action (GMA) system in which the exponents need not be the small integer values of mass action systems but can be real numbers, including those with negative values.

In particular, we extend the Theorem of Feinberg-Horn [9] on the coincidence of the kinetic and stoichiometric subsets of a mass action system to CF kinetics, using the concept of span surjectivity.

The deterministic framework is assumed to be a generalized mass action system and the stochastic analogue is in the format of the chemical master equation.

The approach uses a hybrid between a pure mass action system and a generalized mass action (GMA) system in the framework of biochemical systems theory (BST) with rate constants of 1, normal kinetic orders of 1, and -0.5 and 0.5 for inhibitory and activating effects, named Unity (U -system.

In other words, we use a hybrid between a pure mass action system and a GMA system, which allows for inhibitory and activating effects that are modeled with kinetic orders of -0.5 and 0.5.

We use a hybrid between a pure mass action system and a generalized mass action (GMA) system in the framework of BST with kinetic orders of 1, which allows for inhibitory and activating effects that are modeled with kinetic orders of -0.5 and 0.5.

While the characterization of multistability for a generic nonlinear system requires an ad hoc mathematical treatment, in the case of mass-action systems it can be performed through a powerful analytical tool, namely Chemical Reaction Network Theory CRNTT) [ 23, 24].

It is found that, if the initial substrate concentration is of the same order of magnitude as KM, the estimated values of the KM and V will correspond to their true values calculated from the microscopic rate constants of the corresponding mass-action system, only so long as the initial enzyme concentration is less than KM.

In this article, we explore the mathematical connection between deterministic and stochastic frameworks for the pertinent case of Generalized Mass Action (GMA) systems, which are frequently used in Biochemical Systems Theory (BST; [ 11- 13]).

The simplification of mathematical modeling using power-law representations, such as saturable and synergistic (S -system or generalized maS -system (GMA)-system representatiors in the framework of biochemical systems theory (BST) (Savageneralized b, 1970; Shiraishi and Savageau 1992; Voit 2013), probably has the potential to overcomasshe actionproblems.