By Andrew Rubin, Galina Riznichenko (auth.)

ISBN-10: 1461487013

ISBN-13: 9781461487012

ISBN-10: 1461487021

ISBN-13: 9781461487029

Современная книга в которой рассматривается, главным образом, моделирование на суперкомпьютерах различных биологических процессов, (например кинетика взаимодействия различных биологический молекул).

Breaf Contents

Part I uncomplicated types in Mathematical Biophysics

Part II types of complicated Systems

Part III Kinetic types of Photosynthetic Processes

Part IV Direct Multiparticle versions of procedures in Subcellular structures

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**Extra info for Mathematical Biophysics**

**Sample text**

Prigogine is the author or coauthor of several books: Thermodynamic Theory of Structure, Stability, and Fluctuations (Glansdorff and Prigogine 1971), Order out of Chaos (Prigogine and Stengers 1984), The End of Certainty (Prigogine 1997), and others. In these books he developed mathematical, physical, chemical, biological, and philosophical ideas on the theory of selforganization in nonlinear systems, examined the causes and regularities in the birth of order out of chaos under the action of random fluctuations in energy-rich systems open to matter and energy fluxes far from thermodynamic equilibrium.

Academician Ivan Petrovskii (1901–1973) is the author of some fundamental studies conducted in the areas of differential equations, algebra, geometry, and mathematical physics; he served as rector of Lomonosov Moscow State University (1951–1973). Andrey Kolmogorov—an internationally recognized scientist—headed the Russian mathematical school in the theory of probability and function theory. He was the author of fundamental works on mathematical logic, topology, the theory of differential equations, and the theory of information; he worked on improving high school and university mathematical education and wrote a number of studies related to biological problems.

Let us assume that the final products C and R are immediately removed from the reaction space. This means that constants of the reverse reactions kÀ3 ¼ kÀ4 ¼ 0. If substrate A is in excess, then kÀ1 ¼ 0. We also assume that kÀ2 ¼ 0 and that other rate constants are equal to unity. 4) is known as the classical Brusselator model. It has one steady state with coordinates: x ¼ A, y ¼ B : A If B < 1 + A2, then the steady state is stable; if B > 1 + A2, then the steady state becomes unstable, and the system has a stable limit cycle.

### Mathematical Biophysics by Andrew Rubin, Galina Riznichenko (auth.)

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