Mathematical Biophysics

Andrew Rubin (Autor)

Buch | Softcover

273 Seiten

2016 | Softcover reprint of the original 1st ed. 2014
Springer-Verlag New York Inc.
978-1-4899-7783-0 (ISBN)

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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.

Preface.- Part I Basic models in mathematical biophysics.- Chapter 1 Growth and catalysis models.- Chapter 2 Oscillations, rhythms and chaos in biological systems.- Chapter 3 Spatiotemporal self-organization of biological systems.- Chapter 4 Model of the impact of a weak electric field on the nonlinear system of trans-membrane ion transport.- Part II Models of complex systems.- Chapter 5 Oscillations and periodic space structures of pH and electric potential along the cell membrane of algae Chara corallina.- Chapter 6 Models of Morphogenesis.- Chapter 7 Autowave processes, nerve pulse propagation, and heart activity.- Chapter 8 Nonlinear models of DNA dynamics.- Part III Kinetic models of photosynthetic processes.- Chapter 9 Models of photosynthetic electron transport. Electron transfer in a multienzyme complex.- Chapter 10 Kinetic model of interaction of two photosystems.- Chapter 11 Detailed model of electron transfer in PSII.- Chapter 12 Generalized kinetic model of primary photosynthetic processes.- Part IV Direct multiparticle models of processes in subcellular systems.- Chapter 13 Method of direct multiparticle simulation of protein interactions.- Chapter 14 Modeling of protein complex formation in solution with diffusion and electrostatic interactions.- Chapter 15 Modeling of protein interactions in photosynthetic membrane.- Chapter 16 Spaciotemporal evolution of electrochemical potential ΔμH+ in photosynthetic membrane.- Conclusion.- References.- Index.

Erscheinungsdatum	14.05.2017
Reihe/Serie	Biological and Medical Physics, Biomedical Engineering
Zusatzinfo	43 Illustrations, color; 107 Illustrations, black and white; XV, 273 p. 150 illus., 43 illus. in color.
Verlagsort	New York
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Informatik ► Weitere Themen ► Bioinformatik
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Biologie
	Naturwissenschaften ► Chemie ► Physikalische Chemie
	Naturwissenschaften ► Physik / Astronomie ► Angewandte Physik
Schlagworte	Autowave processes • Belousov–Zhabotinsky reaction • Biological Systems • Classic Lotka and Volterra models • Direct multiparticle models processes subcellular systems • direct multipatricle simulation of protein interactions • dynamics models • electron transfer in PSII • Generalized kinetic model primary photosynthetic processes • growth and catalysis models • heart activity • Hodgkin and Huxley • Kinetic model ATPase • Kinetic model interaction of two photosystems • Kinetic models photosynthetic processes • Leslie matrices • mathematical biophysics • mathematical biophysics book • mathematical modeling, living systems • Mathematical Models • modeling processes in living systems • Morphogenesis models • Morphogenetic field • nerve pulse propagation • Nonlinear models DNA dynamics • Oscillations periodic space structures, Chara corallina • Oscillations, rhythms and chaos in biological systems • photosynthetic electron transport • protein complex formation solution • protein interactions in photosynthetic membrane • Reduced FitzHugh-Nagumo Model • Spaciotemporal evolution electrochemical potential • Spatiotemporal self-organization of biological systems • subcellular systems • The Verhulst equation • Turing instability
ISBN-10	1-4899-7783-X / 148997783X
ISBN-13	978-1-4899-7783-0 / 9781489977830
Zustand	Neuware