Description |
1 online resource (480 pages) |
Series |
Natural Computing Series |
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Natural computing series.
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Contents |
Part I. Discrete and Graph-Theoretic Models for Data Analysis -- Perspectives in Computational Genome Analysis / Giuditta Franco -- The Sequence Reconstruction Problem / Angela Angeleska, Sabrina Kleessen and Zoran Nikoloski -- Extracting Coevolving Characters from a Tree of Species / Alessandra Carbone -- When and How the Perfect Phylogeny Model Explains Evolution / Paola Bonizzoni, Anna Paola Carrieri, Gianluca Della Vedova, Riccardo Dondi and Teresa M. Przytycka -- An Invitation to the Study of Brain Networks, with Some Statistical Analysis of Thresholding Techniques / Mark Daley -- Simplicial Models and Topological Inference in Biological Systems / Vidit Nanda and Radmila Sazdanović -- Part II. Molecular Arrangements and Structures -- Combinatorial Insights into RNA Secondary Structure / Christine Heitsch and Svetlana Poznanović -- Redundant and Critical Noncovalent Interactions in Protein Rigid Cluster Analysis / Naomi Fox and Ileana Streinu -- Modeling Autonomous Supramolecular Assembly / Meera Sitharam -- The Role of Symmetry in Conformational Changes of Viral Capsids: A Mathematical Approach / Paolo Cermelli, Giuliana Indelicato and Reidun Twarock -- Minimal Tile and Bond-Edge Types for Self-Assembling DNA Graphs / Joanna Ellis-Monaghan, Greta Pangborn, Laura Beaudin, David Miller, Nick Bruno and Akie Hashimoto -- Part III. Gene Rearrangements -- Programmed Genome Processing in Ciliates / Aaron David Goldman, Elizabeth M. Stein, John R. Bracht and Laura F. Landweber -- The Algebra of Gene Assembly in Ciliates / Robert Brijder and Hendrik Jan Hoogeboom -- Invariants of Graphs Modeling Nucleotide Rearrangements / Egor Dolzhenko and Karin Valencia -- Part IV. Topological Models and Spatial DNA Embeddings -- Introduction to DNA Topology / Isabel K. Darcy, Stephen D. Levene and Robert G. Scharein -- Reactions Mediated by Topoisomerases and Other Enzymes: Modelling Localised DNA Transformations / Dorothy Buck -- Site-Specific Recombination on Unknot and Unlink Substrates Producing Two-Bridge Links / Kenneth L. Baker -- Site-Specific Recombination Modeled as a Band Surgery: Applications to Xer Recombination / Kai Ishihara, Koya Shimokawa and Mariel Vazquez -- Part V. Dynamics and Kinetics of Molecular Interactions -- Understanding DNA Looping Through Cre-Recombination Kinetics / Massa J. Shoura and Stephen D. Levene -- The QSSA in Chemical Kinetics: As Taught and as Practiced / Casian Pantea, Ankur Gupta, James B. Rawlings and Gheorghe Craciun -- Algebraic Models and Their Use in Systems Biology / Reinhard Laubenbacher, Franziska Hinkelmann, David Murrugarra and Alan Veliz-Cuba -- Deconstructing Complex Nonlinear Models in System Design Space / Michael A. Savageau and Jason G. Lomnitz -- IBCell Morphocharts: A Computational Model for Linking Cell Molecular Activity with Emerging Tissue Morphology / Katarzyna A. Rejniak |
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Perspectives in Computational Genome Analysis -- The Sequence Reconstruction Problem -- Extracting Coevolving Characters from a Tree of Species -- When and How the Perfect Phylogeny Model Explains Evolution -- An Invitation to the Study of Brain Networks with Some Statistical Analysis of Thresholding Techniques -- Simplicial Models and Topological Inference in Biological Systems -- Combinatorial Insights into RNA Secondary Structure -- Redundant and Critical Noncovalent Interactions in Protein Rigid Cluster Analysis -- Modeling Autonomous Supramolecular Assembly -- The Role of Symmetry in Conformational Changes of Viral Capsids: A Mathematical Approach -- Minimal Tile and Bond-Edge Types for Self-Assembling DNA Graphs -- Programmed Genome Processing in Ciliates -- The Algebra of Gene Assembly in Ciliates -- Invariants of Graphs Modeling Nucleotide Rearrangements -- Introduction to DNA Topology -- Reactions Mediated by Topoisomerases and Other Enzymes: Modelling Localised DNA Transformations -- Site-Specific Recombination on Unknot and Unlink Substrates Producing Two-Bridge Links -- Site-Specific Recombination Modeled as a Band Surgery: Applications to Xer Recombination -- Understanding DNA Looping Through Cre-Recombination Kinetics -- The QSSA in Chemical Kinetics: As taught and as Practiced -- Algebraic Models and Their Use in Systems Biology -- Deconstructing Complex Nonlinear Models in System Design Space -- IBCell Morphocharts: A Computational Model for Linking Cell Molecular Activity with Emerging Tissue Morphology |
Summary |
Theoretical tools and insights from discrete mathematics, theoretical computer science, and topology now play essential roles in our understanding of vital biomolecular processes. The related methods are now employed in various fields of mathematical biology as instruments to "zoom in" on processes at a molecular level. This book contains expository chapters on how contemporary models from discrete mathematics in domains such as algebra, combinatorics, and graph and knot theories can provide perspective on biomolecular problems ranging from data analysis, molecular and gene arrangements and structures, and knotted DNA embeddings via spatial graph models to the dynamics and kinetics of molecular interactions. The contributing authors are among the leading scientists in this field and the book is a reference for researchers in mathematics and theoretical computer science who are engaged with modeling molecular and biological phenomena using discrete methods. It may also serve as a guide and supplement for graduate courses in mathematical biology or bioinformatics, introducing nontraditional aspects of mathematical biology |
Bibliography |
Includes bibliographical references at the end of each chapters |
Notes |
English |
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Print version record |
In |
Springer eBooks |
Subject |
Computational biology.
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Biomathematics.
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Computer science -- Mathematics.
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Mathematical models.
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Computational Biology
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Models, Theoretical
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mathematical models.
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NATURE -- Reference.
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SCIENCE -- Life Sciences -- Biology.
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SCIENCE -- Life Sciences -- General.
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Mathematical models
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Biomathematics
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Computational biology
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Computer science -- Mathematics
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Form |
Electronic book
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Author |
Jonoska, Nataša, 1961- editor.
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Saito, Masahico, 1959- editor.
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ISBN |
9783642401930 |
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3642401937 |
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3642401929 |
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9783642401923 |
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