oadly speaking, there are two general approaches to teaching mathematical modeling: 1) the case study approach, and 2) the method based approach (that teaches mathematical techniques with applications to relevant mathematical models). This text emphasizes instead the scientific issues for modeling different phenomena. For the natural or harvested growth of a fish population, we may be interested in the evolution of the population, whether it reaches a steady state (equilibrium or cycle), stable or unstable with respect to a small perturbation from equilibrium, or whether a small change in the environment would cause a catastrophic change, etc. Each scientific issue requires an appropriate model and a different set of mathematical tools to extract information from the model. Models examined are chosen to help explain or justify empirical observations such as cocktail drug treatments are more effective and regenerations after injuries or illness are fast-tracked (compared to original developments).
Volume I of this three-volume set limits its scope to phenomena and scientific issues that are modeled by ordinary differential equations (ODE). Scientific issues such as signal and wave propagation, diffusion, and shock formation involving spatial dynamics to be modeled by partial differential equations (PDE) will be treated in Vol. II. Scientific issues involving randomness and uncertainty are examined in Vol. III.
Описание: Metabolic syndrome is the most common clinical disorder, affecting as many as 60% of middle-aged and older adults. This book includes updated clinical views on metabolic syndrome; its definition and current and current and future treatment options; and critical evaluation of the current status of each of the syndrome components, including the latest knowledge of casual mechanisms. It is anticipated that this book will be of value to all of those seeking a comprehensive update on the metabolic syndrome. It will provide a broad basis for advancing research in the multiple intersecting disciplines encompassed by the metabolic syndrome.
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