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Titlebook: Compartmental Modeling and Tracer Kinetics; David H. Anderson Book 1983 Springer-Verlag Berlin Heidelberg 1983 Biologisch-mathematisches M

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Xiaoqiang Cheng,Huayi Wu,Tinghua Ai,Min Yangerial from compartment j to compartment i (i ≠ j) is modeled by f.q., where f. is a nonnegative quantity called a . which may be a function of the amounts q = [q., q., ..., q. ]. (T denotes transpose), time t, and a vector of parameters α = [α., α., …, α. ]
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Nonlinear Compartmental Models,l, is kept at a constant temperature. There is continuous flow of reactants into this constantly stirred tank. After certain reactions take place inside the tank, a portion of the uniform mixture is then drained from the tank. This process is illustrated in Figure 5.1, where R denotes the fixed rate constant for flow into and out of the tank.
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Computation of the Model Parameters,iple, which allows us to show existence and uniqueness of isolated solutions. In particular, Newton’s method--under certain restrictions-acts locally about a solution as a contractor, and via the Kantorovich conditions there can be established the existence of a solution unique to within a certain neighborhood.
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First-order Chemical Reactions,n industrial process is treated: the reduction of limestone into its main products, calcium oxide and magnesium oxide, through the chemical reactions.with the respective positive rate constants k.. We assume that the limestone consists of a fraction β of CaC0. and a remaining fraction 1 — β of MgC0.
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Nonlinear Compartmental Models, a device used in the chemical industry to allow chemicals to react in a controlled environment. A tank of constant volume, which is the reactor vessel, is kept at a constant temperature. There is continuous flow of reactants into this constantly stirred tank. After certain reactions take place insi
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