A numerical approach to modeling a biochemical system that includes processes with significantly different time scales has been developed within the Virtual Cell environment (J. Schaff et al., 1997, Biophys. J. 73, 1135). The key features of the algorithm are time splitting of slow and fast processe
Analytical approach to stationary wall solutions in bistable reaction-diffusion systems
✍ Scribed by R. Dohmen; F.-J. Niedernostheide; H. Willebrand; H.-G. Purwins
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 452 KB
- Volume
- 176
- Category
- Article
- ISSN
- 0375-9601
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The author studies the periodic time-dependent quasimonotone reactiondiffusion systems in a proper Banach space satisfying (i) ∂F i /∂u j ≥ 0 for all 1 ≤ i = j ≤ n; (ii) F t x u is periodic in t of period τ > 0; and (iii) F i t x αu ≥ αF i t x u for all α ∈ 0 1 and i = 1 2 n. It is proved that ever
## Abstract A derivation of hydrodynamic equations which describe diffusion in connection with reaction processes in many‐particle systems is given on the basis of quantum kinetic theory. For this purpose kinetic equations are derived for a quantum gas with chemical reactions. Following Grad's meth