Quasi-steady-state approximation for a reaction-diffusion system with fast intermediate. J. Math. Anal. Appl., 368(1):120-132, 2010.D. Bothe and M. Pierre, Quasi-steady-state approximation for a reaction-diffusion system with fast intermediate, J. Math. Anal. Appl. 368 (2010) 120-132....
Heinrich, Quasi-steady-state approximation in the mathematical modeling of biochemical reaction networks, Math. Biosci. 65 (1983) 155-171.Schauer M, Heinrich R: Quasi-steady-state approximation in the mathematical modeling of biochemical reaction networks. Math Biosci 1983, 65:155-171....
For such applications, the classical quasi-steady state assumption (QSSA), despite serious shortcomings, continues to be popular due to its conceptual clarity and computational simplicity. Starting from invariant manifold description, we develop an advanced quasi-steady state assumption which (i) is ...
Tang, A reaction-diffusion system modelling asymmetric stem-cell di- vision: existence, uniqueness, numerical simulation and rigorous quasi-steady-state approximation, arXiv:1408.1303.K. Fellner, S. Rosenberger, B.Q. Tang, Quasi-steady-state approximation and numerical simulation for a volume-surface...
The total quasi-steady-state approximation for fully competitive enzyme reactions. Bull Math Biol. 2007; 69 :433–457. [ PubMed ]Pedersen, M. G., Bersani, A. M., & Bersani, E. (2007). The total quasi steady-state approximation for fully competitive enzyme reactions. Bulletin of ...
The quasi steady-state approximation (QSSA) is frequently used to reduce deterministic models of biochemical networks. The resulting equations provide a simplified description of the network in terms of non-elementary reaction functions (e.g. Hill functions). Such deterministic reductions are frequently...
UNSTEADY-STATE MACROSCOPIC BALANCES 7.1.1Pseudo-Steady-State Approximation As stated inChapter 1, the general inventory rate equation can be expressed in the form (7.1-1)(Rate of input)−(Rate of output)+(Rate of generation)=(Rate of accumulation) ...
Using an elementary approach, we derive and investigate inequalities and conditions for the validity of the quasi-stationary approximation, confirming results by Segel and Slemrod, and determine new estimates for the pre-steady state period.关键词:...
A systematic approximation scheme was built, allowing to model the initial DFN by a set of N unknowns located at each identified intersection between fractures. The higher N, the higher the accuracy of the model. The main assumption was using a quasi steady state hypothesis, that states that ...
2) quasi-steady state approximation "准稳态"假设方法3) quasi-steady approximate method 准稳态近似方法 1. Based on the quasi-steady approximate method, analyses the freezing problem of water in laminar flow regime in the exchanger tube with constant wall temperature. 采用准稳态近似方法分析了常...