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How powerful new methods in nonlinear control engineering can be applied to neuroscience, from fundamental model formulation to advanced medical applications. Over the past sixty years, powerful methods of model-based control engineering have been responsible for such dramatic advances in engineering systems as autolanding aircraft, autonomous vehicles, and even weather forecasting. Over those same decades, our models of the nervous system have evolved from single-cell membranes to neuronal networks to large-scale models of the human brain. Yet until recently control theory was completely inapplicable to the types of nonlinear models being developed in neuroscience. The revolution in nonline...
An accessible undergraduate textbook in computational neuroscience that provides an introduction to the mathematical and computational modeling of neurons and networks of neurons. Understanding the brain is a major frontier of modern science. Given the complexity of neural circuits, advancing that understanding requires mathematical and computational approaches. This accessible undergraduate textbook in computational neuroscience provides an introduction to the mathematical and computational modeling of neurons and networks of neurons. Starting with the biophysics of single neurons, Robert Rosenbaum incrementally builds to explanations of neural coding, learning, and the relationship between...
A novel theoretical framework that describes a possible rationale for the regularity in how we move, how we learn, and how our brain predicts events. In Biological Learning and Control, Reza Shadmehr and Sandro Mussa-Ivaldi present a theoretical framework for understanding the regularity of the brain's perceptions, its reactions to sensory stimuli, and its control of movements. They offer an account of perception as the combination of prediction and observation: the brain builds internal models that describe what should happen and then combines this prediction with reports from the sensory system to form a belief. Considering the brain's control of movements, and variations despite biomechan...
Brain Slices in Basic and Clinical Research describes advancements in the field of brain function and dysfunction through use of central nervous system slice preparations. Topics are authored by leading scientists and include the following: Mechanisms of synaptic plasticity as the basis of memory processes Chaos and synaptic variability Brain calcium currents Glutamate receptors Pathophysiology of excitotoxins Cerebral hypoxia-ischemia Neuronal injury Free radicals Optical methods of measuring brain metabolism Voltammetry in brain slices Calcium imaging Patch-clamp recording and application of macromolecules through patch-clamp pipettes in brain slices Intracellular double labeling of various neuronal populations Use of brain slices in teaching neurophysiological methods Most of the topics are published in book format for the first time, and some of the techniques are more fully detailed than in any other book.
Bringing together the experience, perspective and expertise of Paul Farmer, Jim Yong Kim, and Arthur Kleinman, Reimagining Global Health provides an original, compelling introduction to the field of global health. Drawn from a Harvard course developed by their student Matthew Basilico, this work provides an accessible and engaging framework for the study of global health. Insisting on an approach that is historically deep and geographically broad, the authors underline the importance of a transdisciplinary approach, and offer a highly readable distillation of several historical and ethnographic perspectives of contemporary global health problems. The case studies presented throughout Reimagining Global Health bring together ethnographic, theoretical, and historical perspectives into a wholly new and exciting investigation of global health. The interdisciplinary approach outlined in this text should prove useful not only in schools of public health, nursing, and medicine, but also in undergraduate and graduate classes in anthropology, sociology, political economy, and history, among others.
The rotating shallow water (RSW) model is of wide use as a conceptual tool in geophysical fluid dynamics (GFD), because, in spite of its simplicity, it contains all essential ingredients of atmosphere and ocean dynamics at the synoptic scale, especially in its two- (or multi-) layer version. The book describes recent advances in understanding (in the framework of RSW and related models) of some fundamental GFD problems, such as existence of the slow manifold, dynamical splitting of fast (inertia-gravity waves) and slow (vortices, Rossby waves) motions, nonlinear geostrophic adjustment and wave emission, the role of essentially nonlinear wave phenomena. The specificity of the book is that ana...
Ch. 1. Introduction. 1.1. Stability theory revisited. 1.2. Instabilities and nonlinear events in everyday life. 1.3 Postscript -- ch. 2. Essentials. 2.1. Probabilistic and information theoretic measures. 2.2. Matrix manipulations. 2.3. Delay-differential equations. 2.4. The fluctuation-dissipation theorem. 2.5. The Fokker-Planck equation. 2.6. Numerical techniques for the simulation of stochastic equations. 2.7. Experimental aspects of generating noise. 2.8. Complex integration -- ch. 3. Noise induced temporal phenomena. 3.1. Escape from metastable states. 3.2. Stochastic resonance in bistable systems. 3.3. Postscript -- ch. 4. Adding spatial dimensions. 4.1. Spatiotemporal stochastic resonance. 4.2. Doubly stochastic resonance. 4.3. Spatial patterns. 4.4. Postscript -- ch. 5. Stochastic transport phenomena. 5.1. Noise-sustained structures in convectively unstable media. 5.2. Noise sustained front transmission. 5.3. Theory. 5.4. Noise enhanced wave propagation. 5.5. Stochastic ratchets and Brownian motors. 5.6. Postscript -- ch. 6. Sundry topics. 6.1. Minority game. 6.2. Traffic dynamics. 6.3. Dithering. 6.4. Noise in neural networks -- ch. 7. Afterthoughts
Ozone-friendly, recyclable, zero-waste, elimination of toxic chemicals - such environmental ideals are believed to offer solutions to the environmental crisis. Where do these ideals come from? Is the environmental debate communicating the right problems? Eco-Facts and Eco-Fiction examines serious errors in perceptions about human and environmental health. Drawing on a wealth of everyday examples of local and global concerns, the author explains basic concepts and observations relating to the environment. Removing fear of science and technology and eliminating wrong perceptions lead to a more informed understanding of the environment as a science, a philosophy, and a lifestyle. By revealing the flaws in today's environmental vocabulary, this book stresses the urgent need for a common language in the environmental debate. Such a common language encourages the effective communication between environmental science and environmental decision-making that is essential for finding solutions to environmental problems.
Epilepsy is a neurological disorder that affects millions of patients worldwide and arises from the concurrent action of multiple pathophysiological processes. The power of mathematical analysis and computational modeling is increasingly utilized in basic and clinical epilepsy research to better understand the relative importance of the multi-faceted, seizure-related changes taking place in the brain during an epileptic seizure. This groundbreaking book is designed to synthesize the current ideas and future directions of the emerging discipline of computational epilepsy research. Chapters address relevant basic questions (e.g., neuronal gain control) as well as long-standing, critically impo...