We study the structural simplification of chemical reaction networks with partial steady state semantics assuming that the concentrations of some but not all species are constant. We present a simplification rule that can eliminate intermediate species that are in partial steady state, while preserving the dynamics of all other species. Our simplification rule can be applied to general reaction...

The orders of magnitude variation in rates typical in formulating a kinetic model for a complex reaction network, results in time scale separation that makes the system inherently stiff for simulation. In this work, a graph-theoretic framework is developed for the time scale decomposition of reaction systems into slow and fast time scales; the pseudo-species that evolve only in the slow time sc...

We study a reaction-diffusion system of three chemical species, where two chemicals react with a much faster rate than the other reaction in the model. We are interested in the asymptotic limit as the rate becomes infinite. This forces the reaction interface to have an asymptotically small width with asymptotically large height. Numerical simulations for the three species model with large react...

We measure cross-diffusion coefficients in a five-component system, an aerosol OT (AOT) water-in-oil microemulsion loaded with two constituents of the Belousov-Zhabotinsky (BZ) reaction (H(2) O/AOT/BZ1/BZ2/octane). The species BZ1 is either NaBr, an inhibitor of the BZ reaction, or ferroin, a catalyst for the reaction. As species BZ2, we choose Br(2) , an intermediate in the reaction. The cross...

Cross diffusion is a phenomena in which a gradient in the concentration of one species induces a flux of another chemical species which was generally been neglected in the study of reaction-diffusion systems. We study the Turing bifurcation of two species reaction transport systems, where particle dispersal is governed by diffusion and cross diffusion. we performed linear stability analysis to ...

the reaction of nineteen different cultivars of cucurbita spp. including cucurbita pepo, cucurbita maxima and lagenaria siceraria to phytophthora capsici, phytophthora melonis and phytophthora drechsleri was studied under greenhouse conditions. plants were grown in steam sterilized soil. one-month-old plants were inoculated with vermiculate hempseed extract inocula of phytophthora and were floo...