LEADER 03082nam 22006255 450 001 9910624380003321 005 20251113175200.0 010 $a3-031-12031-0 024 7 $a10.1007/978-3-031-12031-2 035 $a(MiAaPQ)EBC7127696 035 $a(Au-PeEL)EBL7127696 035 $a(CKB)25219360800041 035 $a(PPN)265856167 035 $a(OCoLC)1351219412 035 $a(DE-He213)978-3-031-12031-2 035 $a(EXLCZ)9925219360800041 100 $a20221030d2022 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aGromov-Hausdorff Stability of Dynamical Systems and Applications to PDEs /$fby Jihoon Lee, Carlos Morales 205 $a1st ed. 2022. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2022. 215 $a1 online resource (169 pages) 225 1 $aFrontiers in Mathematics,$x1660-8054 311 08$aPrint version: Lee, Jihoon Gromov-Hausdorff Stability of Dynamical Systems and Applications to PDEs Cham : Springer International Publishing AG,c2023 9783031120305 320 $aIncludes bibliographical references. 327 $aPart I: Abstract Theory -- Gromov-Hausdorff distances -- Stability -- Continuity of Shift Operator -- Shadowing from Gromov-Hausdorff Viewpoint -- Part II: Applications to PDEs -- GH-Stability of Reaction Diffusion Equation -- Stability of Inertial Manifolds -- Stability of Chafee-Infante Equations. 330 $aThis monograph presents new insights into the perturbation theory of dynamical systems based on the Gromov-Hausdorff distance. In the first part, the authors introduce the notion of Gromov-Hausdorff distance between compact metric spaces, along with the corresponding distance for continuous maps, flows, and group actions on these spaces. They also focus on the stability of certain dynamical objects like shifts, global attractors, and inertial manifolds. Applications to dissipative PDEs, such as the reaction-diffusion and Chafee-Infante equations, are explored in the second part. This text will be of interest to graduates students and researchers working in the areas of topological dynamics and PDEs. . 410 0$aFrontiers in Mathematics,$x1660-8054 606 $aDynamics 606 $aDifferential equations 606 $aGeometry, Differential 606 $aDynamical Systems 606 $aDifferential Equations 606 $aDifferential Geometry 615 0$aDynamics. 615 0$aDifferential equations. 615 0$aGeometry, Differential. 615 14$aDynamical Systems. 615 24$aDifferential Equations. 615 24$aDifferential Geometry. 676 $a515.352 676 $a516.36 700 $aLee$b Jihoon$01263810 702 $aRojas$b Carlos Arnoldo Morales 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910624380003321 996 $aGromov-Hausdorff Stability of Dynamical Systems and Applications to PDEs$92962669 997 $aUNINA LEADER 09039nam 2200733Ia 450 001 9910965521103321 005 20251017110110.0 010 $a9786610214983 010 $a9781280214981 010 $a1280214988 010 $a9780309535007 010 $a030953500X 010 $a9780585149172 010 $a0585149178 035 $a(CKB)110986584750820 035 $a(OCoLC)70772938 035 $a(CaPaEBR)ebrary10060400 035 $a(SSID)ssj0000197628 035 $a(PQKBManifestationID)11189153 035 $a(PQKBTitleCode)TC0000197628 035 $a(PQKBWorkID)10161906 035 $a(PQKB)11325062 035 $a(MiAaPQ)EBC3376831 035 $a(Au-PeEL)EBL3376831 035 $a(CaPaEBR)ebr10060400 035 $a(CaONFJC)MIL21498 035 $a(OCoLC)697730580 035 $a(Perlego)4734517 035 $a(DNLM)650256 035 $a(BIP)12806339 035 $a(EXLCZ)99110986584750820 100 $a20040925d1988 my 0 101 0 $aeng 135 $aurcn||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMapping and sequencing the human genome /$fCommittee on Mapping and Sequencing the Human Genome, Board on Basic Biology, Commission on Life Sciences, National Research Council 205 $a1st ed. 210 $aWashington, D.C. $cNational Academy Press$d1988 215 $a1 online resource (128 p.) 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a9780309074629 311 08$a0309074622 311 08$a9780309038409 311 08$a0309038405 320 $aIncludes bibliographical references and index. 327 $aMapping and Sequencing the Human Genome -- Copyright -- Preface -- Contents -- MAPPING AND SEQUENCING THE HUMAN GENOME -- 1 Executive Summary -- GENOME MAPPING -- GENOME SEQUENCING -- INFORMATION AND MATERIALS HANDLING -- IMPLEMENTATION STRATEGIES -- MANAGEMENT STRATEGY -- 2 Introduction -- GENOMES, GENES, AND GENOMIC MAPS -- Genomes Consist of DNA Molecules That Contain Many Genes -- The Human Genome Is Composed of 24 Different Types of DNA Molecules -- The Human Genome Can Be Mapped in Many Different Ways -- MEDICAL IMPLICATIONS OF DETAILED HUMAN GENOME MAPS -- IMPLICATIONS FOR BASIC BIOLOGY -- EXPECTED GECHNOLOGICAL DEVELOPMENTS GENERATED BY A HUMAN GENOME PROJECT AND THEIR IMPACT ON BIOLOGICAL RESEARCH -- IMPACT ON THE RESEARCH BY SMALL GROUPS -- REFERENCES -- 3 Implications for Medicine and Science -- MEDICAL USES -- A Map of the Human Genome Will Greatly Facilitate the Identification of Specific Disease Genes -- Disease Genes Promise to Provide Important Insights into Human Biology -- Specific Medical Applications -- Toward an Understanding of Cancer -- IMPLICATIONS FOR BASIC BIOLOGY -- What Aspects of Genome Organization Are Important for Genome Function? -- Many New Human Genes and Proteins Will Be Identified -- How Do Organisms Evolve? -- References -- 4 Mapping -- Early Cytological Mapping Efforts Depended on Examining Chromosomes Under the Light Microscope -- The Current Revolution in Genome Mapping Is Based on the Use of Recombinant-DNA Techniques -- FUNDAMENTALS OF GENOME MAPPING -- Physical Maps Describe Chromosomal DNA Molecules, Whereas Genetic Linkage Maps Describe Patterns of Inheritance -- The Development of Ordered Collections of DNA Clones Is an Important -- Both Physical and Genetic Linkage Maps Can Be Constructed with Various Degrees of Resolution and Connectivity -- GENETIC LINKAGE MAPPING. 327 $aRestriction Fragment Length Polymorphisms Are Convenient Landmarks for Genetic Linkage Mapping -- Genetic Linkage Mapping Requires the Study of Many People in Large Family Groups -- RFLPs Are Useful for Interrelating Physical and Genetic Linkage Maps -- A Reference RFLP Map for the Human Would Be a Critical Tool for Studying Inherited Diseases -- MAKING PHYSICAL MAPS -- Medium-Resolution Mapping of Restriction Sites Is Facilitated by New Methods of Preparing and Separating Large DNA Molecules -- High-Resolution Mapping of Restriction Sites Will Require the Use of Ordered Collections of DNA Clones -- Fingerprinting Methods Can Be Used to Order DNA Clones -- The Optimal Method for Preparing Ordered Collections of DNA Clones Is Not Yet Clear -- IMMEDIATE APPLICATIONS OF CHROMOSOME MAPS -- CONCLUSIONS AND RECOMMENDATIONS -- Recent Breakthroughs Have Set the Stage for Large-Scale Mapping -- Different Mapping Methods Should Proceed in Parallel -- The Improvement of Physical Mapping Techniques Should Be Closely Coupled to Actual Attempts to Map Large Genomes -- Specific Improvements That Will Facilitate Map Construction and Usefulness Can Be Identified -- REFERENCES -- 5 Sequencing -- WHY SEQUENCE THE ENTIRE HUMAN GENOME? -- CURRENT TECHNOLOGY IN DNA SEQUENCING: CHEMICAL AND ENZYMATIC METHODS -- THE DIFFICULTY OF DETERMINING THE SEQUENCE OF THE HUMAN GENOME WITH CURRENT TECHNOLOGY -- THE ACCURACY OF DNA SEQUENCING -- EMERGING AND FUTURE TECHNOLOGY -- OPTIONS AND RECOMMENDATIONS -- The Project Should Begin with Two Kinds of Studies -- To Derive the Full Benefit of the Human Genome Sequence Will Require Many New Tools, Including a Comprehensive Database? -- DNA Sequence Determinations Require Quality Control -- REFERENCES -- 6 The Collection, Analysis, and Distribution of Information and Materials -- PRESENT INFORMATION-HANDLING ORGANIZATIONS -- GenBank/EMBL. 327 $aMendelian Inheritance in Man -- Human Gene Mapping Library -- Centre d'Etude du Polymorphisme Humain -- MAPPING DATA BASES REQUIRED FOR A HUMAN GENOME PROJECT -- The Collaborative Facilities Needed To Generate an RFLP Map Must Be Expanded -- All Human Map Data Should Be Accessible from a Single Data Base -- A Material Collection and Distribution Facility for Ordered Sets of Cloned DNA Fragments Will Be an Important First Stage in? -- A DNA SEQUENCE DATA BANK DEDICATED TO A HUMAN GENOME PROJECT -- A Concerted Initiative Aimed at Determining the Sequence of the Human Genome Will Generate Large Amounts of DNA Sequence Data -- All Data Must Be Entered Electronically or Magnetically -- An Initial Analysis Should Be Performed by a Central Facility -- An Example of an Initial Sequence Analysis -- Establishing an Efficient Computer Network -- The Need for Research on Data Analysis -- The Estimated Cost -- CONCLUSIONS -- REFERENCES -- 7 Implementation and Management Strategies -- FUNDING A HUMAN GENOME PROJECT -- Projects with the Potential to Make Substantial Technological Improvements in Genome Analysis Should Receive Top Priority -- Both Small Research Laboratories and Larger Multidisciplinary Centers Should Be Encouraged -- The Establishment of a Single Large Production Center is Not Advisable at Present -- Decisions for Funding Should Be Made by Peer Review -- The Human Genome Project Requires New and Distinctive Funding of About 200 Million per Year -- Mapping Efforts Should Be Accelerated and Coordinated -- The Sequencing Effort Should Evolve and Grow with Time -- International Collaboration on the Project Is Desirable -- MANAGING A HUMAN GENOME PROJECT -- Three Possible Organizational Plans -- Organizational Plan A: A Lead Agency and a Scientific Advisory Board -- Organizational Plan B: An Interagency Committee and Scientific Advisory Board. 327 $aOrganizational Plan C: Interagency Committee, Administrative Agency, and Scientific Advisory Board -- REFERENCE -- 8 Implications for Society -- COMMERCIAL AND LEGAL IMPLICATIONS -- ETHICAL AND SOCIAL IMPLICATIONS -- Conducting a Genome Mapping and Sequencing Project -- Interpreting the Medical Implications of Genetic Information -- The Use and Abuse of a Complete Genome Map -- REFERENCES -- Appendix A Glossary -- Appendix B Curricula Vitae of Committee Members -- Appendix C Invited Speakers at Committee Meetings -- Index. 330 $aThere is growing enthusiasm in the scientific community about the prospect of mapping and sequencing the human genome, a monumental project that will have far-reaching consequences for medicine, biology, technology, and other fields. But how will such an effort be organized and funded? How will we develop the new technologies that are needed? What new legal, social, and ethical questions will be raised? Mapping and Sequencing the Human Genome is a blueprint for this proposed project. The authors offer a highly readable explanation of the technical aspects of genetic mapping and sequencing, and they recommend specific interim and long-range research goals, organizational strategies, and funding levels. They also outline some of the legal and social questions that might arise and urge their early consideration by policymakers. 606 $aHuman gene mapping 606 $aGene mapping 615 0$aHuman gene mapping. 615 0$aGene mapping. 676 $a573.2/12 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910965521103321 996 $aMapping and sequencing the human genome$94358768 997 $aUNINA