Motivated by some notorious open problems, such as the Jacobian conjecture and the tame generators problem, the subject of polynomial automorphisms has become a rapidly growing field of interest. This book, the first in the field, collects many of the results scattered throughout the literature. It introduces the reader to a fascinating subject and brings him to the forefront of research in this area. Some of the topics treated are invertibility criteria, face polynomials, the tame generators problem, the cancellation problem, exotic spaces, DNA for polynomial automorphisms, the Abhyankar-Moh theorem, stabilization methods, dynamical systems, the Markus-Yamabe conjecture, group actions, Hilbert's 14th problem, various linearization problems and the Jacobian conjecture. The work is essentially self-contained and aimed at the level of beginning graduate students. Exercises are included at the end of each section. At the end of the book there are appendices to cover used material from algebra, algebraic geometry, D-modules and Grâ€bner basis theory. A long list of ''strong'' examples and an extensive bibliography conclude the book.
The cell interior is another world that we are only beginning to explore. Although there are a number of approaches for examining the inner workings of the cell, the reductionist approach of building up complexity appeals to many with physical science and engineering backgrounds. This volume of Methods in Cell Biology spans a range of spatial scales from single protein molecules to vesicle and cell sized structures capable of complex behaviors. Contributions include; methods for combining different motors and cytoskeletal components in defined ways to produce more complex behaviors; methods to combine cytoskeletal assemblies with fabricated devices such as chambers or pillar arrays; reconstituting membrane fission and fusion; reconstituting important biological processes that normally take place on membrane surfaces; and methods for encapsulating protein machines within vesicles or droplets.
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