A Numerical Procedure to Compute Many Solutions of Diffusion-Reaction Systems
In  we have discussed a mathematical model of finitely many cells Zj (j =1,…,N) (see fig.1) in which a chemical reaction occurs. A membrane M.j+1 between Zj and Zj+1 allows for diffusive and/or convective transport. We have shown that branches of stable steady states are possible involving alterations of substrate concentration in Z1 and ZN only whereas Z2,…,ZN-1 operate on a nearly constant concentration level along the branch. There are symmetric and unsymmetric steady states of this kind (see also section 2).
KeywordsHysteresis Loop Cell Model Bifurcation Diagram Bifurcation Point Full System
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