{"product_id":"9789814522243","title":"Splines And Compartment Models: An Introduction: An Introduction","description":"\u003cp\u003eThis book presents methods of mathematical modeling from two points of view. Splines provide a general approach while compartment models serve as examples for context related to modeling. The preconditions and characteristics of the developed mathematical models as well as the conditions surrounding data collection and model fit are taken into account. The substantial statements of this book are mathematically proven. The results are ready for application with examples and related program codes given.\u003c\/p\u003e\u003cp\u003eIn this book, splines are algebraically developed such that the reader or user can easily understand and vary the numerical construction of the different kinds of spline functions. The classical compartment models of the pharmacokinetics are systematically analyzed and connected with lifetime distributions. As such, parameter estimation and model fit can be treated statistically with a varied minimum chi-square method. This method is applicable for single kinetics and also allows the calculation of average kinetics.\u003c\/p\u003e\u003cb\u003eContents:\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003e\n\u003cb\u003e\u003ci\u003eSpline Models:\u003c\/i\u003e\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eWhy Spline Functions?\u003c\/li\u003e\n\u003cli\u003eInterpolating Splines of Degree \u003ci\u003en\u003c\/i\u003e\n\u003c\/li\u003e\n\u003cli\u003eInterpolating Cubic Splines\u003c\/li\u003e\n\u003cli\u003eSmoothing Natural Cubic Splines and the Choice of the Smoothing Parameter\u003c\/li\u003e\n\u003cli\u003eInterpolating Quadratic Splines\u003c\/li\u003e\n\u003cli\u003eInterpolating Quadratic Splines and Parabolas\u003c\/li\u003e\n\u003cli\u003eSmoothing Quadratic Splines\u003c\/li\u003e\n\u003cli\u003eSplines and Average Functions\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003e\u003ci\u003eCompartment Models:\u003c\/i\u003e\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eConcept of a Context Related Mathematical Pharmacokinetical Model\u003c\/li\u003e\n\u003cli\u003eCompartment Models\u003c\/li\u003e\n\u003cli\u003eOther Deterministic Models\u003c\/li\u003e\n\u003cli\u003eCalculability and Identifiability\u003c\/li\u003e\n\u003cli\u003eCompartment Models and Associated Residence Time Distributions\u003c\/li\u003e\n\u003cli\u003eOther Stochastic Models\u003c\/li\u003e\n\u003cli\u003eCalculation Methods Related to Compartment Models\u003c\/li\u003e\n\u003cli\u003eSelection of Pharmacokinetic Models\u003c\/li\u003e\n\u003cli\u003ePharmacokinetics for Multiple Applications\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003cli\u003e\u003cb\u003e\u003ci\u003eMathematica\u003csup\u003e®\u003c\/sup\u003e Programs for Selected Problems\u003c\/i\u003e\u003c\/b\u003e\u003c\/li\u003e\n\u003c\/ul\u003e\u003cbr\u003e\u003cb\u003eReadership:\u003c\/b\u003e Graduate students in biomathematics, medicine, pharmacy and human biology. Professionals like bio-mathematicians, pharmacologists, clinical pharmacologists, pharmacists, doctors engaged in clinical research, scientists in pharmaceutical R\u0026amp;D and scientific staff in the life sciences.\u003cbr\u003e\u003cb\u003eKey Features:\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eThis book treats modeling and data interpretation as a whole, and the qualities of the developed methods are mathematically characterized\u003c\/li\u003e\n\u003cli\u003eNew application of the varied minimum chi-square method for the parameter calculation and the model choice in the pharmacokinetics\u003c\/li\u003e\n\u003cli\u003eThe developed methods are ready for application. The reader\/user will be able to modify the given solutions\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"World Scientific Publishing Company, Incorporated","offers":[{"title":"Default Title","offer_id":47139871457520,"sku":"9789814522243","price":42.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9789814522243_p0.jpg?v=1763691009","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9789814522243","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}