Geodesic
Input-output systems in Biology and Chemistry and a class of mathematical models describing them
Applications of Mathematics, Tome 50 (2005) no. 3, pp. 219-245.

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Our aim is to show a class of mathematical models in application to some problems of cell biology. Typically, our models are described via classical chemical networks. This property is visualized by a conservation law. Mathematically, this conservation law guarantees most of the mathematical properties of the models such as global existence and uniqueness of solutions as well as positivity of the solutions for positive data. These properties are consequences of the fact that the infinitesimal generators forming the underlying dynamical systems are (nonlinear) negative $M$-operators.
DOI : 10.1007/s10492-005-0015-1
Classification : 34A30, 34A34, 34C14, 47B65, 47N20, 92C45
Keywords: dynamical system; input-output system; chemical network; boundary layer 
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Bohl, Erich; Marek, Ivo. Input-output systems in Biology and Chemistry and a class of mathematical models describing them. Applications of Mathematics, Tome 50 (2005) no. 3, pp. 219-245. doi : 10.1007/s10492-005-0015-1. http://geodesic.mathdoc.fr/articles/10.1007/s10492-005-0015-1/

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