The current demand for the development of techniques for controlled genetic manipulations is driven by the anatomical and physiological complexity of the brain and by the need for experimental models that can address this complexity through selective manipulation of defined components of the system: specific neuronal populations or selected synapses. In Controlled Genetic Manipulations, expert researchers present detailed chapters to supply basic technical information about controlled genetic manipulations and to provide examples of creative implementation of this methodology when addressing a unique biological problem. Some chapters of the book describe the most recent developments in the basic methodology, which includes use of Cre-recombinase, methods for delivery of genetic material into the brain and the use of optogenetics, whereas other chapters focus on applying these techniques to addressing particular biological questions like structural and functional mapping of neuronal circuits, analysis of specific synaptic connections, modeling or gene therapy of neurological disorders. As part of the Neuromethods series, chapters include key implementation advice that is crucial for getting optimal results. Authoritative and practical, Controlled Genetic Manipulations serves as a valuable guide to a variety of techniques, provided by many of the pioneers of the approaches.

This unique text presents the new domain of consistent non-linear counterparts for all basic objects and tools of linear algebra, and develops an adequate calculus for solving non-linear algebraic and differential equations. It reveals the non-linear algebraic activity as an essentially wider and diverse field with its own original methods, of which the linear one is a special restricted case.This volume contains a detailed and comprehensive description of basic objects and fundamental techniques arising from the theory of non-linear equations, which constitute the scope of what should be called non-linear algebra. The objects of non-linear algebra are presented in parallel with the corresponding linear ones, followed by an exposition of specific non-linear properties treated with the use of classical (such as the Koszul complex) and original new tools. This volume extensively uses a new diagram technique and is enriched with a variety of illustrations throughout the text. Thus, most of the material is new and is clearly exposed, starting from the elementary level. With the scope of its perspective applications spreading from general algebra to mathematical physics, it will interest a broad audience of physicists; mathematicians, as well as advanced undergraduate and graduate students.

This is a collection of papers on a variety of topics of current interest in mathematical physics: integrable systems, quantum groups, topological quantum theory, string theory. Some of the contributions are lengthy reviews of lasting value on subjects like symplectic geometry of the Chern-Simons theory or on mirror symmetry. The book addresses graduate students as well as researchers in mathematical physics.

The current demand for the development of techniques for controlled genetic manipulations is driven by the anatomical and physiological complexity of the brain and by the need for experimental models that can address this complexity through selective manipulation of defined components of the system: specific neuronal populations or selected synapses. In Controlled Genetic Manipulations, expert researchers present detailed chapters to supply basic technical information about controlled genetic manipulations and to provide examples of creative implementation of this methodology when addressing a unique biological problem. Some chapters of the book describe the most recent developments in the basic methodology, which includes use of Cre-recombinase, methods for delivery of genetic material into the brain and the use of optogenetics, whereas other chapters focus on applying these techniques to addressing particular biological questions like structural and functional mapping of neuronal circuits, analysis of specific synaptic connections, modeling or gene therapy of neurological disorders. As part of the Neuromethods series, chapters include key implementation advice that is crucial for getting optimal results. Authoritative and practical, Controlled Genetic Manipulations serves as a valuable guide to a variety of techniques, provided by many of the pioneers of the approaches.