Titlebook: Normally Hyperbolic Invariant Manifolds in Dynamical Systems; Stephen Wiggins Textbook 1994 Springer Science+Business Media New York 1994

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Stephen Wigginstrol. These functional changes in microvascular function have a compounding relationship with structural changes in the cutaneous microcirculation of the diabetic foot. Ultimately, such adverse adaptations in function and structure contribute to the formation of diabetic foot complications such as u

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Stephen Wigginsbut on occasion alter the appearance of the foot in ways that may obscure the clinical features of local infection. Neuropathy involving the motor fibers supplying muscles of the foot causes asymmetric muscle weakness, atrophy, and paresis, which in turn result in foot deformities and maldistributio

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Introduction, Motivation, and Background,ant manifolds which are called the stable and unstable manifolds, respectively, of the invariant manifold. Moreover, the stable and unstable manifolds may be . or . by lower dimensional submanifolds having the property that trajectories starting on these . satisfy certain asymptotic growth rate cond

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Background from the Theory of Differentiable Manifolds, often arising as surfaces in the phase space. Consequently, we choose to develop the concept of a differentiable manifold as a surface embedded in ?. (loosely following the exposition of Milnor [1965] and Guillemin and Pollack [1974]) and refer the reader to any differential geometry textbook for t

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Textbook 1994 In general, the Fenichel theory is very valuable for many applications, but it is not easy for people to get into from existing literature. This book provides an excellent avenue to that. Wiggins also describes a variety of settings where these techniques can be used in applications.

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Stephen Wigginstes and determine the success of therapeutic interventions. This chapter will summarize these methods used to assess the cutaneous microcirculation while also describing the respective roles of hyperglycemia, insulin resistance, and inflammation in endothelial dysfunction and its complex relationship with neurovascular function.

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Stephen Wigginshapter will summarize these methods used to assess the cutaneous microcirculation while also describing the respective roles of hyperglycemia, insulin resistance, and inflammation in endothelial dysfunction and its complex relationship with neurovascular function.

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Stephen Wigginst class of master regulators to regulate diverse cellular functions essential for skin wound healing. Here, we will discuss the recent advancements on miRNA regulation of tissue repair processes and their potential as novel therapeutic targets to accelerate healing in diabetic patients.