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[null,"1.","Record Nr.",null,"UNINA9911007194403321"]
[null,null,"Autore",null,"Farlow Stanley J"]
[null,null,"Titolo",null,"An Introduction to Differential Equations and Their Applications"]
[null,null,"Pubbl/distr/stampa",null,"Newburyport, : Dover Publications, 2012"]
[null,null,"ISBN",null,"9780486135137"]
[{"$nulls":4},"0486135136"]
[{"$nulls":4},"9781621985747"]
[{"$nulls":4},"1621985741"]
[null,null,"Edizione",null,"[1st ed.]"]
[null,null,"Descrizione fisica",null,"1 online resource (1408 p.)"]
[null,null,"Collana",null,"Dover Books on Mathematics"]
[null,null,"Disciplina",null,"515/.35"]
[null,null,"Soggetti",null,"Differential equations"]
[{"$nulls":4},"Mathematics"]
[{"$nulls":4},"Physical Sciences & Mathematics"]
[{"$nulls":4},"Calculus"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,"Nota di contenuto",null,"Cover; Title Page; Copyright Page; Dedication; Contents; Preface; Chapter 1: Introduction to Differential Equations; Prologue; 1.1 Basic Definitions and Concepts; 1.2 Some Basic Theory; Chapter 2: First-Order Differential Equations; 2.1 First-Order Linear Equations; 2.2 Separable Equations; 2.3 Growth and Decay Phenomena; 2.4 Mixing Phenomena; 2.5 Cooling and Heating Phenomena; 2.6 More Applications; 2.7 The Direction Field and Euler's Method; 2.8 Higher-Order Numerical Methods; Chapter 3: Second-Order Linear Equations; 3.1 Introduction to Second-Order Linear Equations"]
[{"$nulls":4},"3.2 Fundamental Solutions of the Homogeneous Equation3.3 Reduction of Order; 3.4 Homogeneous Equations with Constant Coefficients: Real Roots; 3.5 Homogeneous Equations with Constant Coefficients: Complex Roots; 3.6 Nonhomogeneous Equations; 3.7 Solving Nonhomogeneous Equations: Method of Undetermined Coefficients; 3.8 Solving Nonhomogeneous Equations: Method of Variation of Parameters; 3.9 Mechanical Systems and Simple Harmonic Motion; 3.10 Unforced Damped Vibrations; 3.11 Forced Vibrations; 3.12 Introduction to Higher-Order Equations (Optional); Chapter 4: Series Solutions"]
[{"$nulls":4},"4.1 Introduction: A Review of Power Series4.2 Power Series Expansions about Ordinary Points: Part I; 4.3 Power Series Expansions about Ordinary Points: Part II; 4.4 Series Solutions about Singular Points: The "]
[{"$nulls":4},"Method of Frobenius; 4.5 Bessel Functions; Chapter 5: The Laplace Transform; 5.1 Definition of the Laplace Transform; 5.2 Properties of the Laplace Transform; 5.3 The Inverse Laplace Transform; 5.4 Initial-Value Problems; 5.5 Step Functions and Delayed Functions; 5.6 Differential Equations with Discontinuous Forcing Functions; 5.7 Impulse Forcing Functions; 5.8 The Convolution Integral"]
[{"$nulls":4},"Chapter 6: Systems of Differential Equations6.1 Introduction to Linear Systems: The Method of Elimination; 6.2 Review of Matrices; 6.3 Basic Theory of First-Order Linear Systems; 6.4 Homogeneous Linear Systems with Real Eigenvalues; 6.5 Homogeneous Linear Systems with Complex Eigenvalues; 6.6 Nonhomogeneous Linear Systems; 6.7 Nonhomogeneous Linear Systems: Laplace Transform (Optional); 6.8 Applications of Linear Systems; 6.9 Numerical Solution of Systems of Differential Equations; Chapter 7: Difference Equations; 7.1 Introduction to Difference Equations; 7.2 Homogeneous Equations"]
[{"$nulls":4},"7.3 Nonhomogeneous Equations7.4 Applications of Difference Equations; 7.5 The Logistic Equation and the Path to Chaos; 7.6 Iterative Systems: Julia Sets and the Mandelbrot Set (Optional); Chapter 8: Nonlinear Differential Equations and Chaos; 8.1 Phase Plane Analysis of Autonomous Systems; 8.2 Equilibrium Points and Stability for Linear Systems; 8.3 Stability: Almost Linear Systems; 8.4 Chaos, Poincare Sections and Strange Attractors; Chapter 9: Partial Differential Equations; 9.1 Fourier Series; 9.2 Fourier Sine and Cosine Series; 9.3 Introduction to Partial Differential Equations"]
[{"$nulls":4},"9.4 The Vibrating String: Separation of Variables"]
[null,null,null,"Sommario/riassunto","Intended for use in a beginning one-semester course in differential equations, this text is designed for students of pure and applied mathematics with a working knowledge of algebra, trigonometry, and elementary calculus. Its mathematical rigor is balanced by complete but simple explanations that appeal to readers' physical and geometric intuition.Starting with an introduction to differential equations, the text proceeds to examinations of first- and second-order differential equations, series solutions, the Laplace transform, systems of differential equations, difference equations, nonlinear"]
[null,"2.","Record Nr.",null,"UNINA9911019528803321"]
[null,null,"Autore",null,"Hauschke Dieter"]
[null,null,"Titolo",null,"Bioequivalence studies in drug development : methods and applications / / Dieter Hauschke, Volker Steinijans, Iris Pigeot"]
[null,null,"Pubbl/distr/stampa",null,"Chichester, West Sussex, England ; ; Hoboken, NJ, : Wiley, c2007"]
[null,null,"ISBN",null,"9786610838806"]
[{"$nulls":4},"9781280838804"]
[{"$nulls":4},"1280838809"]
[{"$nulls":4},"9780470094778"]
[{"$nulls":4},"047009477X"]
[{"$nulls":4},"9780470094761"]
[{"$nulls":4},"0470094761"]
[null,null,"Descrizione fisica",null,"1 online resource (330 p.)"]
[null,null,"Collana",null,"Statistics in practice"]
[null,null,"Disciplina",null,"615/.19"]
[null,null,"Soggetti",null,"Drugs - Therapeutic equivalency"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and indexes."]
[null,null,"Nota di contenuto",null,"Bioequivalence Studies in Drug Development; Contents; Preface; 1 Introduction; 1.1 Definitions; 1.1.1 Bioavailability; 1.1.2 Bioequivalence; 1.1.3 Therapeutic equivalence; 1.2 When are bioequivalence studies performed; 1.2.1 Applications for products containing new active substances; 1.2.2 Applications for products containing approved active substances; 1.2.3 Applications for modified release forms essentially similar to a marketed modified release form; 1.3 Design and conduct of bioequivalence studies; 1.3.1 Crossover design and alternatives; 1.3.2 Single- vs. multiple-dose studies"]
[{"$nulls":4},"1.3.3 Pharmacokinetic characteristics1.3.4 Subjects; 1.3.5 Statistical models; 1.3.5.1 Average bioequivalence; 1.3.5.2 Population bioequivalence; 1.3.5.3 Individual bioequivalence; 1.3.6 Sample size; 1.4 Aims and structure of the book; References; 2 Metrics to characterize concentration-time profiles in single- and multiple-dose bioequivalence studies; 2.1 Introduction; 2.2 Pharmacokinetic characteristics (metrics) for single-dose studies; 2.2.1 Extent of bioavailability; 2.2.2 Rate of bioavailability; 2.3 Pharmacokinetic rate and extent characteristics (metrics) for multiple-dose studies"]
[{"$nulls":4},"2.4 ConclusionsReferences; 3 Basic statistical considerations; 3.1 Introduction; 3.2 Additive and multiplicative model; 3.2.1 The normal "]
[{"$nulls":4},"distribution; 3.2.2 The lognormal distribution; 3.3 Hypotheses testing; 3.3.1 Consumer and producer risk; 3.3.2 Types of hypotheses; 3.3.2.1 Test for difference; 3.3.2.2 Test for superiority; 3.3.2.3 Test for noninferiority; 3.3.2.4 Test for equivalence; 3.3.3 Difference versus ratio of expected means; 3.3.3.1 The normal distribution; 3.3.3.2 The lognormal distribution; 3.4 The RT/TR crossover design assuming an additive model"]
[{"$nulls":4},"3.4.1 Additive model and effects3.4.2 Parametric analysis based on t-tests; 3.4.2.1 Test for difference in carryover effects; 3.4.2.2 Test for difference in formulation effects; 3.4.2.3 Test for difference in period effects; 3.4.3 Nonparametric analysis based on Wilcoxon rank sum tests; 3.4.3.1 Test for difference in carryover effects; 3.4.3.2 Test for difference in formulation effects; 3.4.3.3 Test for difference in period effects; References; 4 Assessment of average bioequivalence in the RT/TR design; 4.1 Introduction; 4.2 The RT/TR crossover design assuming a multiplicative model"]
[{"$nulls":4},"5 Power and sample size determination for testing average bioequivalence in the RT/TR design"]
[null,null,null,"Sommario/riassunto","Studies in bioequivalence are the commonly accepted method to demonstrate therapeutic equivalence between two medicinal products. Savings in time and cost are substantial when using bioequivalence as an established surrogate marker of therapeutic equivalence. For this reason the design, performance and evaluation of bioequivalence studies have received major attention from academia, the pharmaceutical industry and health authorities. Bioequivalence Studies in Drug Development focuses on the planning, conducting, analysing and reporting of bioequivalence studies, covering all aspects r"]