img Leseprobe Leseprobe

Mathematical Biophysics

Galina Riznichenko, Andrew Rubin

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Springer US img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Biochemie, Biophysik

Beschreibung

This book presents concise descriptions and analysis of the classical and modern models used in mathematical biophysics. The authors ask the question "what new information can be provided by the models that cannot be obtained directly from experimental data?" Actively developing fields such as regulatory mechanisms in cells and subcellular systems and electron transport and energy transport in membranes are addressed together with more classical topics such as metabolic processes, nerve conduction and heart activity, chemical kinetics, population dynamics, and photosynthesis. The main approach is to describe biological processes using different mathematical approaches necessary to reveal characteristic features and properties of simulated systems. With the emergence of powerful mathematics software packages such as MAPLE, Mathematica, Mathcad, and MatLab, these methodologies are now accessible to a wide audience.

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Schlagwörter

Classic Lotka and Volterra models, growth and catalysis models, mathematical biophysics book, Spatiotemporal self-organization of biological systems, modeling processes in living systems, dynamics models, subcellular systems, electron transfer in PSII, Oscillations, rhythms and chaos in biological systems, Belousov–Zhabotinsky reaction, protein complex formation solution, Autowave processes, Oscillations periodic space structures, Chara corallina, biological systems, The Verhulst equation, direct multipatricle simulation of protein interactions, Morphogenetic field, mathematical modeling, living systems, mathematical biophysics, Leslie matrices, Hodgkin and Huxley, Turing instability, Direct multiparticle models processes subcellular systems, Kinetic model ATPase, protein interactions in photosynthetic membrane, photosynthetic electron transport, Nonlinear models DNA dynamics, Reduced FitzHugh-Nagumo Model, Kinetic models photosynthetic processes, Spaciotemporal evolution electrochemical potential, Morphogenesis models, heart activity, mathematical models, Kinetic model interaction of two photosystems, nerve pulse propagation, Generalized kinetic model primary photosynthetic processes