Patterns in Excitable Media

Author: Sitabhra Sinha
Publisher: CRC Press
ISBN: 1466552832
Format: PDF, Kindle
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Excitable media comprise a class of models for a wide range of physical, chemical, and biological systems that exhibit spontaneous formation of spatial patterns. Patterns in Excitable Media: Genesis, Dynamics, and Control explores several aspects of the dynamics of such patterns—in particular their evolution upon interaction with structural and functional heterogeneities in the system. The book provides readers with an introduction to recent developments in the interdisciplinary field of dynamics and control of patterns in nonlinear biological systems described by excitable media models. It also discusses low-amplitude control schemes for eliminating such patterns from an excitable medium which has direct clinical relevance in view of the close connection to life-threatening cardiac arrhythmia.

Econophysics

Author: Sitabhra Sinha
Publisher: John Wiley & Sons
ISBN: 3527408150
Format: PDF, Kindle
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Filling the gap for an up-to-date textbook in this relatively new interdisciplinary research field, this volume provides readers with a thorough and comprehensive introduction. Based on extensive teaching experience, it includes numerous worked examples and highlights in special biographical boxes some of the most outstanding personalities and their contributions to both physics and economics. The whole is rounded off by several appendices containing important background material.

Waves in Neural Media

Author: Paul C. Bressloff
Publisher: Springer Science & Business Media
ISBN: 1461488664
Format: PDF, Docs
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​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.

Rendering Life Molecular

Author: Natasha Myers
Publisher:
ISBN: 9780822358664
Format: PDF, ePub
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Natasha Myers shows in this ethnography how scientists who build three-dimensional models of proteins use their senses and bodies to create, represent, and evaluate otherwise imperceptible molecules. These modelers often consider matter to be made up of living, moving, and sometimes breathing entities, and Myers' study of them rethinks the objectivity of science.

Language in South Asia

Author: Braj B. Kachru
Publisher: Cambridge University Press
ISBN: 0521781418
Format: PDF
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An overview of the language in South Asia within a linguistic, historical and sociolinguistic context, comprising authoritative contributions from international scholars within the field of language and linguistics. It is an accessible interdisciplinary book for students and scholars in sociolinguistics, multilingualism, language planning and South Asian studies.

Integrins and Ion Channels

Author: Andrea Becchetti
Publisher: Springer Science & Business Media
ISBN: 144196066X
Format: PDF, ePub, Mobi
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Interdisciplinarity is more often invoked than practised. This is hardly surprising, considering the daunting vastness of modern biology. To reach a satisfactory understanding of a complex biological system, a wide spectrum of conceptual and experimental tools must be applied at different levels, from the molecular to the cellular, tissue and organismic. We believe the multifaceted regulatory interplay between integrin receptors and ion channels offers a rich and challenging field for researchers seeking broad biological perspectives. By mediating cell adhesion to the extracellular matrix, integrins regulate many developmental processes in the widest sense (from cell choice between differentiation and proliferation, to tissue remodeling and organogenesis). Rapidly growing evidence shows that frequent communication takes place between cell adhesion receptors and channel proteins. This may occur through formation of multiprotein membrane complexes that regulate ion fluxes as well as a variety of intracellular signaling pathways. In other cases, cross talk is more indirect and mediated by cellular messengers such as G proteins. These interactions are reciprocal, in that ion channel stimulation often controls integrin activation or expression. From a functional standpoint, studying the interplay between integrin receptors and ion channels clarifies how the extracellular matrix regulates processes as disparate as muscle excitability, synaptic plasticity and lymphocyte activation, just to mention a few. The derangement of these processes has many implications for pathogenesis processes, in particular for tumor invasiveness and some cardiovascular and neurologic diseases. This book provides a general introduction to the problems and methods of this blossoming field.

From Physics to Control Through an Emergent View

Author: Luigi Fortuna
Publisher: World Scientific
ISBN: 9814313157
Format: PDF, ePub, Mobi
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The book is a compilation of selected papers from the conference on Physics and Control 2009, presenting a unified perspective underlying the thematics and strategies related to the control of physical systems with emerging applications in physics, engineering, chemistry, biology and other natural sciences. The selected papers reflect the state-of-the-art of the more advanced theoretical and practical studies in the field of control of complex systems. The contributions provide a comprehensive view on some selected topics of particular importance at the disciplinary borderline between Physics and Control.