Mathematical Biophysics
Mathematical Biophysics

Author: Andrew Rubin

Publisher: Springer Science & Business Media

Published: 2013-11-26

Total Pages: 274

ISBN-13: 1461487021

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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.

Cellular Biophysics and Modeling
Cellular Biophysics and Modeling

Author: Greg Conradi Smith

Publisher: Cambridge University Press

Published: 2019-03-14

Total Pages: 395

ISBN-13: 1107005361

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What every neuroscientist should know about the mathematical modeling of excitable cells, presented at an introductory level.

Biophysics
Biophysics

Author: William Bialek

Publisher: Princeton University Press

Published: 2012-12-17

Total Pages: 653

ISBN-13: 1400845572

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A physicist's guide to the phenomena of life Interactions between the fields of physics and biology reach back over a century, and some of the most significant developments in biology—from the discovery of DNA's structure to imaging of the human brain—have involved collaboration across this disciplinary boundary. For a new generation of physicists, the phenomena of life pose exciting challenges to physics itself, and biophysics has emerged as an important subfield of this discipline. Here, William Bialek provides the first graduate-level introduction to biophysics aimed at physics students. Bialek begins by exploring how photon counting in vision offers important lessons about the opportunities for quantitative, physics-style experiments on diverse biological phenomena. He draws from these lessons three general physical principles—the importance of noise, the need to understand the extraordinary performance of living systems without appealing to finely tuned parameters, and the critical role of the representation and flow of information in the business of life. Bialek then applies these principles to a broad range of phenomena, including the control of gene expression, perception and memory, protein folding, the mechanics of the inner ear, the dynamics of biochemical reactions, and pattern formation in developing embryos. Featuring numerous problems and exercises throughout, Biophysics emphasizes the unifying power of abstract physical principles to motivate new and novel experiments on biological systems. Covers a range of biological phenomena from the physicist's perspective Features 200 problems Draws on statistical mechanics, quantum mechanics, and related mathematical concepts Includes an annotated bibliography and detailed appendixes

Elementary Medical Biophysics
Elementary Medical Biophysics

Author: G. G. Járos

Publisher: Elsevier

Published: 2013-10-22

Total Pages: 249

ISBN-13: 1483141659

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Elementary Medical Biophysics deals with the basic principles involved in the physical sciences, such as the application of mathematical methods involving scientific problems, the production of electricity in electrical and living cells, as well as light, sight, and radioactivity. The book reviews the graphical and mathematical representation of scientific problems, and the use of units to measure temperature, time, force, energy that are commonly employed in experiments and research work. The text describes the forces involved in diffusion and osmosis that occur during the movement of molecules or other particles when these are unevenly dispersed in a fluid medium. The force in diffusion causes a particle to move from an area of high concentration of particles into one with a low concentration, until there is equilibrium. Osmosis involves the force or movement of a solvent from an area of low concentration of the solute to an area with a high concentration of the solute. The book also explains the production of electricity in living cells of the body, as well as the possible special affinity or preference that tumors or cancerous cells can have with radioactive substances. The text is intended for nursing and paramedical students with courses in physiology, biophysics, and other programs related to the medical sciences.

Pulling Rabbits Out of Hats
Pulling Rabbits Out of Hats

Author: David Wollkind

Publisher: CRC Press

Published: 2021

Total Pages: 538

ISBN-13: 9781003195603

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"Pulling Rabbits Out of Hats: Using Mathematical Modeling in the Material, Biophysical, Fluid Mechanical, and Chemical Sciences focuses on those assumptions made during applied mathematical modeling in which the phenomenological data and the model predictions are self-consistent. This comprehensive reference demonstrates how to employ a variety of mathematical techniques to quantify a number of problems from the material, biophysical, fluid mechanical, and chemical sciences. In doing so, methodology of modelling, analysis, and result generation are all covered"--

Biophysics of Computation
Biophysics of Computation

Author: Christof Koch

Publisher: Oxford University Press

Published: 2004-10-28

Total Pages: 587

ISBN-13: 0195181999

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Neural network research often builds on the fiction that neurons are simple linear threshold units, completely neglecting the highly dynamic and complex nature of synapses, dendrites, and voltage-dependent ionic currents. Biophysics of Computation: Information Processing in Single Neurons challenges this notion, using richly detailed experimental and theoretical findings from cellular biophysics to explain the repertoire of computational functions available to single neurons. The author shows how individual nerve cells can multiply, integrate, or delay synaptic inputs and how information can be encoded in the voltage across the membrane, in the intracellular calcium concentration, or in the timing of individual spikes.Key topics covered include the linear cable equation; cable theory as applied to passive dendritic trees and dendritic spines; chemical and electrical synapses and how to treat them from a computational point of view; nonlinear interactions of synaptic input in passive and active dendritic trees; the Hodgkin-Huxley model of action potential generation and propagation; phase space analysis; linking stochastic ionic channels to membrane-dependent currents; calcium and potassium currents and their role in information processing; the role of diffusion, buffering and binding of calcium, and other messenger systems in information processing and storage; short- and long-term models of synaptic plasticity; simplified models of single cells; stochastic aspects of neuronal firing; the nature of the neuronal code; and unconventional models of sub-cellular computation.Biophysics of Computation: Information Processing in Single Neurons serves as an ideal text for advanced undergraduate and graduate courses in cellular biophysics, computational neuroscience, and neural networks, and will appeal to students and professionals in neuroscience, electrical and computer engineering, and physics.