LEADER 04634nam 2200577 450 001 9910136814403321 005 20230808192303.0 010 $a3-527-69931-7 010 $a3-527-69930-9 035 $a(CKB)3710000000621698 035 $a(EBL)4454425 035 $a(OCoLC)945445030 035 $a(MiAaPQ)EBC4454425 035 $a(Au-PeEL)EBL4454425 035 $a(CaPaEBR)ebr11175917 035 $a(CaONFJC)MIL909483 035 $a(EXLCZ)993710000000621698 100 $a20160413h20162016 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aCalcium orthophosphate-based bioceramics and biocomposites /$fSergey V. Dorozhkin 210 1$aWeinheim, Germany :$cWiley-VCH Verlag GmbH & Co.,$d2016. 210 4$dİ2016 215 $a1 online resource (504 p.) 300 $aDescription based upon print version of record. 311 $a3-527-33788-1 320 $aIncludes bibliographical references and index. 327 $aRelated Titles; Title Page; Copyright; Table of Contents; Preface; Part I: Calcium Orthophosphates (CaPO4): Occurrence, Properties, and Biomimetics; Chapter 1: Introduction; References; Chapter 2: Geological and Biological Occurrences; References; Chapter 3: The Members of CaPO4 Family; 3.1 MCPM; 3.2 MCPA (or MCP); 3.3 DCPD; 3.4 DCPA (or DCP); 3.5 OCP; 3.6 ?-TCP; 3.7 ?-TCP; 3.8 ACP; 3.9 CDHA (or Ca-def HA, or CDHAp); 3.10 HA (or HAp, or OHAp); 3.11 FA (or FAp); 3.12 OA (or OAp, or OXA); 3.13 TTCP (or TetCP); 3.14 Biphasic, Triphasic, and Multiphasic CaPO4 Formulations 327 $a3.15 Ion-Substituted CaPO4References; Chapter 4: Biological Hard Tissues of CaPO4; 4.1 Bone; 4.2 Teeth; 4.3 Antlers; References; Chapter 5: Pathological Calcification of CaPO4; References; Chapter 6: Biomimetic Crystallization of CaPO4; References; Chapter 7: Conclusions and Outlook; References; Part II: Calcium Orthophosphate Bioceramics in Medicine; Chapter 8: Introduction; References; Chapter 9: General Knowledge and Definitions; References; Chapter 10: Bioceramics of CaPO4; 10.1 History; 10.2 Chemical Composition and Preparation; 10.3 Forming and Shaping; 10.4 Sintering and Firing 327 $aReferencesChapter 11: The Major Properties; 11.1 Mechanical Properties; 11.2 Electric/Dielectric and Piezoelectric Properties; 11.3 Possible Transparency; 11.4 Porosity; References; Chapter 12: Biomedical Applications; 12.1 Self-Setting (Self-Hardening) Formulations; 12.2 Coatings, Films, and Layers; 12.3 Functionally Graded Bioceramics; References; Chapter 13: Biological Properties and In Vivo Behavior; 13.1 Interactions with Surrounding Tissues and the Host Responses; 13.2 Osteoinduction; 13.3 Biodegradation; 13.4 Bioactivity; 13.5 Cellular Response; References 327 $aChapter 14: Nonbiomedical Applications of CaPO4References; Chapter 15: CaPO4 Bioceramics in Tissue Engineering; 15.1 Tissue Engineering; 15.2 Scaffolds and Their Properties; 15.3 Bioceramic Scaffolds from CaPO4; 15.4 A Clinical Experience; References; Chapter 16: Conclusions and Outlook; References; Part III: Biocomposites from Calcium Orthophosphates; Chapter 17: Introduction; References; Chapter 18: General Information and Knowledge; References; Chapter 19: The Major Constituents of Biocomposites and Hybrid Biomaterials for Bone Grafting; 19.1 CaPO4; 19.2 Polymers 327 $a19.3 Inorganic Materials and CompoundsReferences; Chapter 20: Biocomposites and Hybrid Biomaterials Based on CaPO4; 20.1 Biocomposites with Polymers; 20.2 Self-Setting Formulations; 20.3 Formulations Based on Nanodimensional CaPO4 and Nanodimensional Biocomposites; 20.4 Biocomposites with Collagen; 20.5 Formulations with Other Bioorganic Compounds and/or Biological Macromolecules; 20.6 Injectable Bone Substitutes (IBSs); 20.7 Biocomposites with Glasses, Inorganic Compounds, Carbon, and Metals; 20.8 Functionally Graded Formulations; 20.9 Biosensors; References 327 $aChapter 21: Interaction among the Phases in CaPO4-Based Formulations 606 $aBiomedical materials$xTesting 606 $aBiomedical materials$xResearch 606 $aCalcium phosphate$xBiotechnology 615 0$aBiomedical materials$xTesting. 615 0$aBiomedical materials$xResearch. 615 0$aCalcium phosphate$xBiotechnology. 676 $a610.289 700 $aDorozhkin$b Sergey V.$0905288 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910136814403321 996 $aCalcium orthophosphate-based bioceramics and biocomposites$92024599 997 $aUNINA LEADER 05774nam 22006735 450 001 9910254581003321 005 20220329235823.0 010 $a3-319-55023-3 024 7 $a10.1007/978-3-319-55023-7 035 $a(CKB)3710000001109676 035 $a(DE-He213)978-3-319-55023-7 035 $a(MiAaPQ)EBC4825726 035 $a(PPN)199765200 035 $a(EXLCZ)993710000001109676 100 $a20170317d2017 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 12$aA computational non-commutative geometry program for disordered topological insulators /$fby Emil Prodan 205 $a1st ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (X, 118 p. 19 illus. in color.) 225 1 $aSpringerBriefs in Mathematical Physics,$x2197-1757 ;$v23 311 $a3-319-55022-5 320 $aIncludes bibliographical references at the end of each chapters. 327 $aDisordered Topological Insulators: A Brief Introduction -- Homogeneous Materials -- Homogeneous Disordered Crystals -- Classification of Homogenous Disordered Crystals -- Electron Dynamics: Concrete Physical Models -- Notations and Conventions -- Physical Models -- Disorder Regimes -- Topological Invariants -- The Non-Commutative Brillouin Torus -- Disorder Configurations and Associated Dynamical Systems -- The Algebra of Covariant Physical Observables -- Fourier Calculus -- Differential Calculus -- Smooth Sub-Algebra -- Sobolev Spaces -- Magnetic Derivations -- Physics Formulas -- The Auxiliary C*-Algebras -- Periodic Disorder Configurations -- The Periodic Approximating Algebra -- Finite-Volume Disorder Configurations -- The Finite-Volume Approximating Algebra -- Approximate Differential Calculus -- Bloch Algebras -- Canonical Finite-Volume Algorithm -- General Picture -- Explicit Computer Implementation -- Error Bounds for Smooth Correlations -- Assumptions -- First Round of Approximations -- Second Round of Approximations -- Overall Error Bounds -- Applications: Transport Coefficients at Finite Temperature -- The Non-Commutative Kubo Formula -- The Integer Quantum Hall Effect -- Chern Insulators -- Error Bounds for Non-Smooth Correlations -- The Aizenman-Molchanov Bound -- Assumptions -- Derivation of Error Bounds -- Applications II: Topological Invariants -- Class AIII in d = 1 -- Class A in d = 2 -- Class AIII in d = 3 -- References. 330 $aThis work presents a computational program based on the principles of non-commutative geometry and showcases several applications to topological insulators. Noncommutative geometry has been originally proposed by Jean Bellissard as a theoretical framework for the investigation of homogeneous condensed matter systems. Recently, this approach has been successfully applied to topological insulators, where it facilitated many rigorous results concerning the stability of the topological invariants against disorder. In the first part of the book the notion of a homogeneous material is introduced and the class of disordered crystals defined together with the classification table, which conjectures all topological phases from this class. The manuscript continues with a discussion of electrons? dynamics in disordered crystals and the theory of topological invariants in the presence of strong disorder is briefly reviewed. It is shown how all this can be captured in the language of noncommutative geometry using the concept of non-commutative Brillouin torus, and a list of known formulas for various physical response functions is presented. In the second part, auxiliary algebras are introduced and a canonical finite-volume approximation of the non-commutative Brillouin torus is developed. Explicit numerical algorithms for computing generic correlation functions are discussed. In the third part upper bounds on the numerical errors are derived and it is proved that the canonical-finite volume approximation converges extremely fast to the thermodynamic limit. Convergence tests and various applications concludes the presentation. The book is intended for graduate students and researchers in numerical and mathematical physics. 410 0$aSpringerBriefs in Mathematical Physics,$x2197-1757 ;$v23 606 $aPhysics 606 $aMathematical physics 606 $aCondensed matter 606 $aK-theory 606 $aFunctional analysis 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000 606 $aCondensed Matter Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P25005 606 $aK-Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M11086 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 615 0$aPhysics. 615 0$aMathematical physics. 615 0$aCondensed matter. 615 0$aK-theory. 615 0$aFunctional analysis. 615 14$aMathematical Methods in Physics. 615 24$aMathematical Physics. 615 24$aCondensed Matter Physics. 615 24$aK-Theory. 615 24$aFunctional Analysis. 676 $a512.4 700 $aProdan$b Emil$4aut$4http://id.loc.gov/vocabulary/relators/aut$0803691 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254581003321 996 $aA Computational Non-commutative Geometry Program for Disordered Topological Insulators$92047115 997 $aUNINA