The geometry of population genetics
著者
書誌事項
The geometry of population genetics
（Lecture notes in biomathematics, 31）
Springer-Verlag, 1979
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注記
Bibliography: p. [201]-203
Includes index
内容説明・目次
- 巻冊次
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us ISBN 9780387097114
内容説明
This book constitutes the refereed proceedings of Industry Oriented Conferences held at IFIP 20th World Computer Congress in September 2008.
The IFIP series publishes state-of-the-art results in the sciences and technologies of information and communication. The scope of the series includes: foundations of computer science; software theory and practice; education; computer applications in technology; communication systems; systems modeling and optimization; information systems; computers and society; computer systems technology; security and protection in information processing systems; artificial intelligence; and human-computer interaction. Proceedings and post-proceedings of refereed international conferences in computer science and interdisciplinary fields are featured. These results often precede journal publication and represent the most current research. The principal aim of the IFIP series is to encourage education and the dissemination and exchange of information about all aspects of computing.
目次
e-government.- E-Government For Small Local Government Organizations.- Why is True eGovernment still difficult to be achieved?.- A normative approach to democracy in the electronic government framework.- Knowledge Representation and Management for E-Government Documents.- The Accounting System of Central State Administrations.- The Italian Public Administration Electronic Market: Scenario, Operation, Trends.- ICT professionalism and Competences.- The Emergence of Software Engineering Professionalism.- IT Professional role today and tomorrow.- European Universities and the ICT Industry.- How to move forward and implement e-skills on a long term basis.- IT and Professionalism in Developing Countries.- A Model for Rating and Certifying Competences in the EUCIP Framework.- The need for a standard qualification of ICT-professional competences.- EUCIP Driving the IT-Professional Competence in Norway.- The EUCIP Scheme in the Italian University System.- IT skill requirements in Public Administration.- International Professional Practice Partnership (IP3) - Overview.- IP3 - National Societies' Roles and Responsibilities.- The Emerging ISO International Standard for Certification of Software Engineering Professionals.- European Standardisation Process.- Service Science.- Compliance Requirements for Business-process driven SOAs.- Business Process Design: Towards Service- Based Green Information Systems.- SIFET-CBA Project.- Reengineering Lead to Cash - Process and Organization.- Business Process Monitoring: BT Italy case study.- Dealing with Availability in an international Service Management scenario.- Service level and Value to Customer as key business drivers: a case studying a leader truck industry.- Explaining the Evolving Web - Mixing Technology with Pleasure.- Value-Aware Service Model Driven Architecture and Methodology.- Strategic Modelling of Enterprise Information Requirements.- ICT Portfolio: Mapping Business and ICT Services.
- 巻冊次
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gw ISBN 9783540097112
内容説明
The differential equations which model the action of selection and recombination are nonlinear equations which are impossible to It is even difficult to describe in general the solve explicitly. Recently, Shahshahani began using qualitative behavior of solutions. differential geometry to study these equations [28]. with this mono graph I hope to show that his ideas illuminate many aspects of pop ulation genetics. Among these are his proof and clarification of Fisher's Fundamental Theorem of Natural Selection and Kimura's Maximum Principle and also the effect of recombination on entropy. We also discover the relationship between two classic measures of 2 genetic distance: the x measure and the arc-cosine measure. There are two large applications. The first is a precise definition of the biological concept of degree of epistasis which applies to general (i.e. frequency dependent) forms of selection. The second is the unexpected appearance of cycling. We show that cycles can occur in the two-locus-two-allele model of selection plus recombination even when the fitness numbers are constant (i.e. no frequency dependence). This work is addressed to two different kinds of readers which accounts for its mode of organization. For the biologist, Chapter I contains a description of the entire work with brief indications of a proof for the harder results. I imagine a reader with some familiarity with linear algebra and systems of differential equations. Ideal background is Hirsch and Smale's text [15].
目次
I. The Vectorfield Model of Population Genetics.- 1. The Equations of Selection, Recombination and Mutation.- 2. Multivariate Analysis and Types of Epistasis.- 3. Euclidean Vector Spaces and Riemannian Manifolds.- 4. The Shahshahani Metric.- 5. The Product Theorems and Epistasis.- 6. The Selection Field.- 7. The Recombination Field.- 8. The Mutation Field.- 9. The Combined Field.- II. The Geometry of Epistasis.- 1. Orthogonal Decompositions.- 2. The Product Model.- III. Selection, Recombination and Mutation.- 1. Selection and Epistasis.- 2. Recombination and Entropy.- 3. Recombination and Epistasis.- 4. Position Effects.- 5. Mutation.- IV. The Hopf Bifurcation.- 1. The Hessian.- 2. The Wright Conjecture.- 1. Proper Mappings.- 2. Partially Defined Distributions.- 3. Game Dynamics.
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