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These lecture notes provide a fresh approach to investigating
singularly perturbed systems using asymptotic and geometrical
techniques. It gives many examples and step-by-step techniques,
which will help beginners move to a more advanced level. Singularly
perturbed systems appear naturally in the modelling of many
processes that are characterized by slow and fast motions
simultaneously, for example, in fluid dynamics and nonlinear
mechanics. This book's approach consists in separating out the slow
motions of the system under investigation. The result is a reduced
differential system of lesser order. However, it inherits the
essential elements of the qualitative behaviour of the original
system. Singular Perturbations differs from other literature on the
subject due to its methods and wide range of applications. It is a
valuable reference for specialists in the areas of applied
mathematics, engineering, physics, biology, as well as advanced
undergraduates for the earlier parts of the book, and graduate
students for the later chapters.
Disease Pathways: An Atlas of Human Disease Signaling Pathways is
designed to fill a void of illustrated reviews about the cellular
mechanisms of human diseases. It covers 42 of the most common
non-oncologic diseases and illustrates the connections between the
molecular causes of the disease and its symptoms. This resource
provides readers with detailed information about the disease
molecular pathways, while keeping the presentation simple. Pathway
models that aggregate the knowledge about protein-protein
interactions have become indispensable tools in many areas of
molecular biology, pharmacology, and medicine. In addition to
disease pathways, the book includes a comprehensive overview of
molecular signaling biology and application of pathway models in
the analysis of big data for drug discovery and personalized
medicine. This is a must-have reference for general biologists,
biochemists, students, medical workers, and everyone interested in
the cellular and molecular mechanisms of human disease.
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