Cellular Biophysics and Modeling

Cellular Biophysics and Modeling PDF Author: Greg Conradi Smith
Publisher: Cambridge University Press
ISBN: 1107005361
Category : Mathematics
Languages : en
Pages : 395

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

Cellular Biophysics and Modeling

Cellular Biophysics and Modeling PDF Author: Greg Conradi Smith
Publisher: Cambridge University Press
ISBN: 1107005361
Category : Mathematics
Languages : en
Pages : 395

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

Mathematical Biophysics

Mathematical Biophysics PDF Author: Nicolas Rashevsky
Publisher:
ISBN:
Category : Biomathematics
Languages : en
Pages : 680

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Book Description


Biophysics

Biophysics PDF Author: William Bialek
Publisher: Princeton University Press
ISBN: 1400845572
Category : Science
Languages : en
Pages : 653

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Book Description
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

Mathematical Modeling of Biological Systems, Volume I

Mathematical Modeling of Biological Systems, Volume I PDF Author: Andreas Deutsch
Publisher: Springer Science & Business Media
ISBN:
Category : Mathematics
Languages : en
Pages : 408

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Book Description
This edited volume contains a selection of chapters that are an outgrowth of the - ropean Conference on Mathematical and Theoretical Biology (ECMTB05, Dresden, Germany, July 2005). The peer-reviewed contributions show that mathematical and computational approaches are absolutely essential for solving central problems in the life sciences, ranging from the organizational level of individual cells to the dynamics of whole populations. The contributions indicate that theoretical and mathematical biology is a diverse and interdisciplinary ?eld, ranging from experimental research linked to mathema- cal modeling to the development of more abstract mathematical frameworks in which observations about the real world can be interpreted, and with which new hypotheses for testing can be generated. Today, much attention is also paid to the development of ef?cient algorithms for complex computation and visualisation, notably in molecular biology and genetics. The ?eld of theoretical and mathematical biology and medicine has profound connections to many current problems of great relevance to society. The medical, industrial, and social interests in its development are in fact indisputable.

Elementary Medical Biophysics

Elementary Medical Biophysics PDF Author: G. G. Járos
Publisher: Elsevier
ISBN: 1483141659
Category : Medical
Languages : en
Pages : 249

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Book Description
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.

Biophysics of Computation

Biophysics of Computation PDF Author: Christof Koch
Publisher: Oxford University Press
ISBN: 0195181999
Category : Medical
Languages : en
Pages : 587

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Book Description
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.

Mathematical Methods in Biology

Mathematical Methods in Biology PDF Author: J. David Logan
Publisher: John Wiley & Sons
ISBN: 0470525878
Category : Science
Languages : en
Pages : 437

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Book Description
A one-of-a-kind guide to using deterministic and probabilistic methods for solving problems in the biological sciences Highlighting the growing relevance of quantitative techniques in scientific research, Mathematical Methods in Biology provides an accessible presentation of the broad range of important mathematical methods for solving problems in the biological sciences. The book reveals the growing connections between mathematics and biology through clear explanations and specific, interesting problems from areas such as population dynamics, foraging theory, and life history theory. The authors begin with an introduction and review of mathematical tools that are employed in subsequent chapters, including biological modeling, calculus, differential equations, dimensionless variables, and descriptive statistics. The following chapters examine standard discrete and continuous models using matrix algebra as well as difference and differential equations. Finally, the book outlines probability, statistics, and stochastic methods as well as material on bootstrapping and stochastic differential equations, which is a unique approach that is not offered in other literature on the topic. In order to demonstrate the application of mathematical methods to the biological sciences, the authors provide focused examples from the field of theoretical ecology, which serve as an accessible context for study while also demonstrating mathematical skills that are applicable to many other areas in the life sciences. The book's algorithms are illustrated using MATLAB®, but can also be replicated using other software packages, including R, Mathematica®, and Maple; however, the text does not require any single computer algebra package. Each chapter contains numerous exercises and problems that range in difficulty, from the basic to more challenging, to assist readers with building their problem-solving skills. Selected solutions are included at the back of the book, and a related Web site features supplemental material for further study. Extensively class-tested to ensure an easy-to-follow format, Mathematical Methods in Biology is an excellent book for mathematics and biology courses at the upper-undergraduate and graduate levels. It also serves as a valuable reference for researchers and professionals working in the fields of biology, ecology, and biomathematics.

Mathematical Biology II

Mathematical Biology II PDF Author: James D. Murray
Publisher: Springer Science & Business Media
ISBN: 0387952284
Category : Mathematics
Languages : en
Pages : 834

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Book Description
This richly illustrated third edition provides a thorough training in practical mathematical biology and shows how exciting mathematical challenges can arise from a genuinely interdisciplinary involvement with the biosciences. It has been extensively updated and extended to cover much of the growth of mathematical biology. From the reviews: ""This book, a classical text in mathematical biology, cleverly combines mathematical tools with subject area sciences."--SHORT BOOK REVIEWS

Mathematical Biology

Mathematical Biology PDF Author: James D. Murray
Publisher: Springer Science & Business Media
ISBN: 0387224378
Category : Mathematics
Languages : en
Pages : 551

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Book Description
Mathematical Biology is a richly illustrated textbook in an exciting and fast growing field. Providing an in-depth look at the practical use of math modeling, it features exercises throughout that are drawn from a variety of bioscientific disciplines - population biology, developmental biology, physiology, epidemiology, and evolution, among others. It maintains a consistent level throughout so that graduate students can use it to gain a foothold into this dynamic research area.

Some Mathematical Problems in Biology

Some Mathematical Problems in Biology PDF Author:
Publisher: American Mathematical Soc.
ISBN: 9780821897058
Category : Mathematics
Languages : en
Pages : 128

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Book Description
Presents a model for biological clocks, and covers topics in ecology and evolutionary genetics.