xv, 273 pages , illustrations, some in color , 24 cm
(Biological and medical physics, biomedical engineering)
Electronic
Includes bibliographical references and index.
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. Provides succinct but authoritative coverage of a broad array of biophysical topics and models.
Growth and catalysis models -- Oscillations, rhythms and chaos in biological systems -- Spatiotemporal self-organization of biological systems -- Model of the impact of a weak electric field on the nonlinear system of trans-membrane ion transport -- Oscillations and periodic space structures of pH and electric potential along the cell membrane of algae Chara corallina -- Models of Morphogenesis -- Autowave processes, nerve pulse propagation, and heart activity -- Nonlinear models of DNA dynamics -- Models of photosynthetic electron transport. Electron transfer in a multienzyme complex -- Kinetic model of interaction of two photosystems -- Detailed model of electron transfer in PSII -- Generalized kinetic model of primary photosynthetic processes -- Method of direct multiparticle simulation of protein interactions -- Modeling of protein complex formation in solution with diffusion and electrostatic interactions -- Modeling of protein interactions in photosynthetic membrane -- Spatiotemporal evolution of electrochemical potential H+ in photosynthetic membrane.
Biological and medical physics, biomedical engineering