Description
Brill Methods Of Approximation Theory by Stepanets
The key point of the monograph is the classification of periodic functions introduced by the author and developed methods that enable one to solve, within the framework of a common approach, traditional problems of approximation theory for large collections of periodic functions. The main results are fairly complete and are presented in the form of either exact or asymptotically exact equalities. The present monograph is, in many respects, a store of knowledge accumulated in approximation theory by the beginning of the third millennium and serving for its further development._x000D_ _x000D_INTRODUCTION CH 1: Historical Perspective SECTION I: CHEMISTRY, METABOLISM, AND CIRCULATION CH 2: Vitamin D Metabolism CH 3: Photobiology of Vitamin D CH 4: The Vitamin D-25 Hydroxylase CH 5: The 25-Hydroxyvitamin D 1-alpha-Hydroxylase CH 6: The 25-Hydroxyvitamin D 24-Hydroxylase CH 7: Mutant Mouse Models of Vitamin D Metabolic Enzymes CH 8: Vitamin D Binding Protein CH 9: New Aspects of DBP CH 10: Endocytic Pathways for 25-(OH) Vitamin D3 SECTION II: MECHANISM OF ACTION CH 11: The Vitamin D Receptor CH 12: Vitamin D Receptor Promoter and Regulation of Receptor Expression CH 13: Nuclear Vitamin D Receptor: Structure-Function, Molecular Control of Gene Transcription, and Novel Bioactions CH 14: Vitamin D Receptor Cofactors: Function, Regulation, and Selectivity CH 15: VDR LBD Crystal Structures CH 16: Comodulators of VDR-Mediated: Gene Expression CH 17: Promoter Targeting of VDR Through A Chromatin Remodeling Complex CH 18: Molecular Basis of the Diversity of Vitamin D Target Genes CH 19: Intranuclear Organization of the Regulatory Machinery for Vitamin D-Mediated Control of Skeletal Gene CH 20: Mouse Models of Vitamin D Receptor Ablation CH 21: Intranuclear Vitamin D Response Element Binding CH 22: VDR and RXR Subcellular Trafficking CH 23: 1a,25(OH)2-vitamin D3 mediated rapid and genomic responses are dependent upon critical structure-function relationships for both the ligand and receptor(s) SECTION III: MINERAL HOMEOSTASIS CH 24: Vitamin D and the Intestinal Absorption of Calcium: A View and Overview CH 25: Intestinal Calcium Absorption: Lessons from Knock Out Mice and Men CH 26: Phosphate Homeostasis CH 27: Mineralization CH 28: Modeling and Remodeling: How Bone Cells Work Together CH 29: Vitamin D and the Kidney CH 30: Vitamin D and the Parathyroids CH 31: Calcium-Sensing Receptor SECTION IV: TARGET ORGANS AND ACTIONS: A. Organs/Tissues CH 32: Bone CH 33: Cartilage and Vitamin D: Genomic and Nongenomic Regulation CH 34: Dento-Alveolar Bone Complex and Vitamin D CH 35: Role in Skin and Hair CH 36: Regulation of Immune Responses by Vitamin D Receptor Ligands CH 37: Osteoblasts CH 38: Vitamin D and Osteoclastogenesis CH 39: Vitamin D Control of the Calcitonin Gene in Thyroid C Cells CH 40: Vitamin D Regulation of Type I Collagen Expression in Bone CH 41: Target Genes: Bone Proteins CH 42: The Calbindins: Calbindin-D9k and Calbindin-D28k CH 43: Target Genes CH 44: Effects of 1,25-Dihydroxyvitamin D3 on Voltage-Sensitive Calcium Channels in the Vitamin D Endocrine System CH 45: Vitamin D and the Cellular Response to Oxidative Stress SECTION V: HUMAN PHYSIOLOGY CH 46: Vitamin D: Role in the Calcium Economy CH 47: Effects of Race, Geography, Body Habitus, Diet, and Exercise on Vitamin D Metabolism CH 48: Perinatal Vitamin D Actions CH 49: Vitamin D Deficiency and Calcium Absorption During Infancy and Childhood CH 50: Vitamin D Metabolism and Aging CH 51: Vitamin D Metabolism in Pregnancy and Lactation CH 52: Vitamin D and Reproductive Organs CH 53: Vitamin D Receptor as a Sensor for Toxic Bile Acids CH 54: The Renin-Angiotensin System CH 55: Vitamin D and Muscle CH 56: Vitamin D and Cardiovascular Medicine SECTION VI: DIAGNOSIS AND MANAGEMENT CH 57: Approach to the Patient with Metabolic Bone Disease CH 58: Detection of Vitamin D and Its Major Metabolites CH 59: Bone Histomorphometry CH 60: Radiology of Rickets and Osteomalacia CH 61: The Pharmacology of Vitamin D, Including Fortification Strategies SECTION VII: DISORDERS OF THE VITAMIN D: ENDOCRINE SYSTEM CH 62: How to Define Normal Values for Serum Concentrations of 25-Hydroxyvitamin D? An Overview CH 63: Vitamin D and the Pathogenesis of Rickets and Osteomalacia CH 64: The Hypocalcemic Disorders: Differential Diagnosis and Therapeutic Use of Vitamin D CH 65: Vitamin D Deficiency and Nutritional Rickets in Children CH 66: Vitamin D Insufficiency in Adults and the Elderly CH 67: Vitamin D and Osteoporosis CH 68: Genetic Vitamin D Receptor Polymorphisms and Risk of CH 69: Clinical Disorders of Phosphate Homeostasis CH 70: Disorders of Phosphate Metabolism: Autosomal Dominant Hypophosphatemic Rickets, Tumor Induced Osteomalacia, Fibrous Dysplasia, and the Pathophysiological Relevance of FGF23 TIO, ADDR FGF-23 CH 71: Vitamin D Pseudodeficiency CH 72: Hereditary 1,25-Dihydroxyvitamin D Resistant Rickets CH 73: Glucocorticoids and Vitamin D CH 74: Drug and Hormone Effects on Vitamin D Metabolism CH 75: Bone Disorders Associated with Gastrointestinal & Hepatobiliary Disease CH 76: Vitamin D and Renal Failure CH 77: Idiopathic Hypercalciuria and Nephrolithiasis CH 78: Hypercalcemia Due to Vitamin D Toxicity CH 79: Extra-renal 1-hydroxylase Activity and Human Disease SECTION VIII: NEW VITAMIN D ANALOGS CH 80: Overview: Rational Design of 1a,25-Dihydroxyvitamin D3 Analogs (Deltanoids) CH 81: Analog Metabolism CH 82: Mechanisms for the Selective Actions of Vitamin D Analogs CH 83: Molecular Basis for Differential Action of Vitamin D Analogs CH 84: Development of New Vitamin D Analogs CH 85: Geminis: The 1,25-dihydroxy Vitamin D Analogs with Two Side-Chains CH 86: Development of OCT and ED-71 CH 87: 2-Carbon-Modified Analogs of 19-Nor- 1a,25-Dihydroxyvitamin D3 CH 88: Non-steroidal Analogs SECTION IX: VITAMIN D AND CANCER CH 89: Vitamin D: Cancer and Differentiation CH 90: Vitamin D, Sunlight, and the Natural History of Prostate Cancer CH 91: Epidemiology of Cancer Risk: Vitamin D and Calcium CH 92: Differentiation and the Cell Cycle CH 93: Vitamin D and Breast Cancer CH 94: Vitamin D and Prostate Cancer CH 95: Vitamin D and Colon Cancer CH 96: Vitamin D and Hematological: Malignancy CH 97: Clinical Development of Calcitriol and Calcitriol Analogs in Oncology: Progress and Considerations for Future Development SECTION X: EMERGING USES: Overview: Vitamin D Vs. Calcium Effects CH 98: Vitamin D3: Autoimmunity and Immunosuppression CH 99: Vitamin D and Diabetes CH 100: Vitamin D, A Neuroactive Hormone: From Brain Development to Neurodegenerative Disorders CH 101: Psoriasis and Other Skin Diseases CH 102: Muscles and Falls CH 103: Renal Failure and Secondary Hyperparathyroidism CH 104: Inhibition of Benign Prostatic Hyperplasia by Vitamin D Receptor Ligands_x000D_