Paul Bressloff's Books

Stochastic Processes in Cell Biology

Volume II

By: Paul C. Bressloff

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Stochastic Processes in Cell Biology

Volume II

By: Paul C. Bressloff

This book develops the theory of continuous and discrete stochastic processes within the context of cell biology. In the second edition the material has been significantly expanded, particularly within the context of nonequilibrium and self-organizing systems. Given the amount of additional material, the book has been divided into two volumes, with volume I mainly covering molecular processes and volume II focusing on cellular processes. A wide range of biological topics are covered in the new edition, including stochastic ion channels and excitable systems, molecular motors, stochastic gene networks, genetic switches and oscillators, epigenetics, normal and anomalous diffusion in complex cellular environments, stochastically-gated diffusion, active intracellular transport, signal transduction, cell sensing, bacterial chemotaxis, intracellular pattern formation, cell polarization, cell mechanics, biological polymers and membranes, nuclear structure and dynamics, biological condensates, molecular aggregation and nucleation, cellular length control, cell mitosis, cell motility, cell adhesion, cytoneme-based morphogenesis, bacterial growth, and quorum sensing. The book also provides a pedagogical introduction to the theory of stochastic and nonequilibrium processes – Fokker Planck equations, stochastic differential equations, stochastic calculus, master equations and jump Markov processes, birth-death processes, Poisson processes, first passage time problems, stochastic hybrid systems, queuing and renewal theory, narrow capture and escape, extreme statistics, search processes and stochastic resetting, exclusion processes, WKB methods, large deviation theory, path integrals, martingales and branching processes, numerical methods, linear response theory, phase separation, fluctuation-dissipation theorems, age-structured models, and statistical field theory. This text is primarily aimed at graduate students and researchers working in mathematical biology, statistical and biological physicists, and applied mathematicians interested in stochastic modeling. Applied probabilists should also find it of interest. It provides significant background material in applied mathematics and statistical physics, and introduces concepts in stochastic and nonequilibrium processes via motivating biological applications. The book is highly illustrated and contains a large number of examples and exercises that further develop the models and ideas in the body of the text. It is based on a course that the author has taught at the University of Utah for many years.

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Page Count

724

Publisher

Springer Nature

Published Date

ISBN 10

3030725197

ISBN 13

9783030725198

Stochastic Processes in Cell Biology

Volume I

By: Paul C. Bressloff

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Stochastic Processes in Cell Biology

Volume I

By: Paul C. Bressloff

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773

Publisher

Springer Nature

Published Date

ISBN 10

3030725154

ISBN 13

9783030725150

Finite Superstrings

By: A Restuccia,John Gerald Taylor,Paul Bressloff

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Finite Superstrings

By: A Restuccia,John Gerald Taylor,Paul Bressloff

This is the first complete account of the construction and finiteness analysis of multi-loop scattering amplitudes for superstrings, and of the guarantee that for certain superstrings (in particular the heterotic one), the symmetries of the theory in the embedding space-time are those of the super-poincaré group SP10 and that the multi-loop amplitudes are each finite. The book attempts to be self-contained in its analysis, although it draws on the works of many researchers. It also presents the first complete field theory for such superstrings. As such it demonstrates that gravity can be quantized satisfactorily by superstrings.

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Page Count

391

Publisher

World Scientific

Published Date

ISBN 10

9814505587

ISBN 13

9789814505581

Bursting

The Genesis of Rhythm in the Nervous System

By: Stephen Coombes,Paul C. Bressloff

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Bursting

The Genesis of Rhythm in the Nervous System

By: Stephen Coombes,Paul C. Bressloff

Neurons in the brain communicate with each other by transmitting sequences of electrical spikes or action potentials. One of the major challenges in neuroscience is to understand the basic physiological mechanisms underlying the complex spatiotemporal patterns of spiking activity observed during normal brain functioning, and to determine the origins of pathological dynamical states, such as epileptic seizures and Parkinsonian tremors. A second major challenge is to understand how the patterns of spiking activity provide a substrate for the encoding and transmission of information, that is, how do neurons compute with spikes? It is likely that an important element of both the dynamical and computational properties of neurons is that they can exhibit bursting, which is a relatively slow rhythmic alternation between an active phase of rapid spiking and a quiescent phase without spiking. This book provides a detailed overview of the current state-of-the-art in the mathematical and computational modelling of bursting, with contributions from many of the leading researchers in the field.

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Page Count

420

Publisher

World Scientific

Published Date

ISBN 10

981256506X

ISBN 13

9789812565068

Waves in Neural Media

From Single Neurons to Neural Fields

By: Paul C. Bressloff

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Waves in Neural Media

From Single Neurons to Neural Fields

By: Paul C. Bressloff

Waves in Neural Media: From Single Neurons to Neural Fields surveys mathematical models of traveling waves in the brain, ranging from intracellular waves in single neurons to waves of activity in large-scale brain networks. The work provides a pedagogical account of analytical methods for finding traveling wave solutions of the variety of nonlinear differential equations that arise in such models. These include regular and singular perturbation methods, weakly nonlinear analysis, Evans functions and wave stability, homogenization theory and averaging, and stochastic processes. Also covered in the text are exact methods of solution where applicable. Historically speaking, the propagation of action potentials has inspired new mathematics, particularly with regard to the PDE theory of waves in excitable media. More recently, continuum neural field models of large-scale brain networks have generated a new set of interesting mathematical questions with regard to the solution of nonlocal integro-differential equations. Advanced graduates, postdoctoral researchers and faculty working in mathematical biology, theoretical neuroscience, or applied nonlinear dynamics will find this book to be a valuable resource. The main prerequisites are an introductory graduate course on ordinary differential equations or partial differential equations, making this an accessible and unique contribution to the field of mathematical biology.

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448

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461488664

ISBN 13

9781461488668

Lessons in Perception

The Avant-Garde Filmmaker as Practical Psychologist

By: Paul Taberham

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Lessons in Perception

The Avant-Garde Filmmaker as Practical Psychologist

By: Paul Taberham

Narrative comprehension, memory, motion, depth perception, synesthesia, hallucination, and dreaming have long been objects of fascination for cognitive psychologists. They have also been among the most potent sources of creative inspiration for experimental filmmakers. Lessons in Perception melds film theory and cognitive science in a stimulating investigation of the work of iconic experimental artists such as Stan Brakhage, Robert Breer, Maya Deren, and Jordan Belson. In illustrating how avant-garde filmmakers draw from their own mental and perceptual capacities, author Paul Taberham offers a compelling account of how their works expand the spectator’s range of aesthetic sensitivities and open creative vistas uncharted by commercial cinema.

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Page Count

226

Publisher

Berghahn Books

Published Date

ISBN 10

1785339028

ISBN 13

9781785339028

Prehistoric Rock Art

Polemics and Progress

By: Paul G. Bahn

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Prehistoric Rock Art

Polemics and Progress

By: Paul G. Bahn

Paul G. Bahn provides a richly illustrated overview of prehistoric rock art and cave art from around the world.

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Page Count

239

Publisher

Cambridge University Press

Published Date

ISBN 10

0521140870

ISBN 13

9780521140874

Geometry, Mechanics, and Dynamics

Volume in Honor of the 60th Birthday of J.E. Marsden

By: Jerrold E. Marsden,Paul Newton,Phil Holmes,Alan Weinstein

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Geometry, Mechanics, and Dynamics

Volume in Honor of the 60th Birthday of J.E. Marsden

By: Jerrold E. Marsden,Paul Newton,Phil Holmes,Alan Weinstein

Jerry Marsden, one of the world’s pre-eminent mechanicians and applied mathematicians, celebrated his 60th birthday in August 2002. The event was marked by a workshop on “Geometry, Mechanics, and Dynamics”at the Fields Institute for Research in the Mathematical Sciences, of which he wasthefoundingDirector. Ratherthanmerelyproduceaconventionalp- ceedings, with relatively brief accounts of research and technical advances presented at the meeting, we wished to acknowledge Jerry’s in?uence as a teacher, a propagator of new ideas, and a mentor of young talent. Con- quently, starting in 1999, we sought to collect articles that might be used as entry points by students interested in ?elds that have been shaped by Jerry’s work. At the same time we hoped to give experts engrossed in their own technical niches an indication of the wonderful breadth and depth of their subjects as a whole. This book is an outcome of the e?orts of those who accepted our in- tations to contribute. It presents both survey and research articles in the several ?elds that represent the main themes of Jerry’s work, including elasticity and analysis, ?uid mechanics, dynamical systems theory, g- metric mechanics, geometric control theory, and relativity and quantum mechanics. The common thread running through this broad tapestry is the use of geometric methods that serve to unify diverse disciplines and bring a widevarietyofscientistsandmathematicianstogether,speakingalanguage which enhances dialogue and encourages cross-fertilization.

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Page Count

573

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387955186

ISBN 13

9780387955186

Waves in Neural Media

From Single Neurons to Neural Fields

By: Paul C. Bressloff

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Waves in Neural Media

From Single Neurons to Neural Fields

By: Paul C. Bressloff

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Solve jigsaw puzzle

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Page Count

448

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461488664

ISBN 13

9781461488668

Bursting

The Genesis of Rhythm in the Nervous System

By: Stephen Coombes,Paul C. Bressloff

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Bursting

The Genesis of Rhythm in the Nervous System

By: Stephen Coombes,Paul C. Bressloff

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Page Count

418

Publisher

World Scientific

Published Date

ISBN 10

9812703233

ISBN 13

9789812703231

Book's by Paul Bressloff

Stochastic Processes in Cell Biology

Stochastic Processes in Cell Biology

Stochastic Processes in Cell Biology

Stochastic Processes in Cell Biology

Finite Superstrings

Finite Superstrings

Bursting

Bursting

Waves in Neural Media

Waves in Neural Media

Lessons in Perception

Lessons in Perception

Prehistoric Rock Art

Prehistoric Rock Art

Geometry, Mechanics, and Dynamics

Geometry, Mechanics, and Dynamics

Waves in Neural Media

Waves in Neural Media

Bursting

Bursting

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