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Mathematics of DNA Structure, Function and Interactions (eBook)

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2009 | 2009
XII, 356 Seiten
Springer New York (Verlag)
978-1-4419-0670-0 (ISBN)

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Propelled by the success of the sequencing of the human and many related genomes, molecular and cellular biology has delivered significant scientific breakthroughs. Mathematics (broadly defined) continues to play a major role in this effort, helping to discover the secrets of life by working collaboratively with bench biologists, chemists and physicists.

Because of its outstanding record of interdisciplinary research and training, the IMA was an ideal venue for the 2007-2008 IMA thematic year on Mathematics of Molecular and Cellular Biology. The kickoff event for this thematic year was a tutorial on Mathematics of Nucleic Acids, followed by the workshop Mathematics of Molecular and Cellular Biology, held September 15--21 at the IMA. This volume is dedicated to the memory of Nicholas R. Cozzarelli, a dynamic leader who fostered research and training at the interface between mathematics and molecular biology. It contains a personal remembrance of Nick Cozzarelli, plus 15 papers contributed by workshop speakers. The papers give an overview of state-of-the-art mathematical approaches to the understanding of DNA structure and function, and the interaction of DNA with proteins that mediate vital life processes.


Propelled by the success of the sequencing of the human and many related genomes, molecular and cellular biology has delivered significant scientific breakthroughs. Mathematics (broadly defined) continues to play a major role in this effort, helping to discover the secrets of life by working collaboratively with bench biologists, chemists and physicists.Because of its outstanding record of interdisciplinary research and training, the IMA was an ideal venue for the 2007-2008 IMA thematic year on Mathematics of Molecular and Cellular Biology. The kickoff event for this thematic year was a tutorial on Mathematics of Nucleic Acids, followed by the workshop Mathematics of Molecular and Cellular Biology, held September 15--21 at the IMA. This volume is dedicated to the memory of Nicholas R. Cozzarelli, a dynamic leader who fostered research and training at the interface between mathematics and molecular biology. It contains a personal remembrance of Nick Cozzarelli, plus 15 papers contributed by workshop speakers. The papers give an overview of state-of-the-art mathematical approaches to the understanding of DNA structure and function, and the interaction of DNA with proteins that mediate vital life processes.

FOREWORD 6
PREFACE 7
CONTENTS 11
NICK COZZARELLI: A PERSONAL REMEMBRANCE 13
MATHEMATICAL METHODS IN DNA TOPOLOGY: APPLICATIONS TO CHROMOSOME ORGANIZATION AND SITE-SPECIFIC RECOMBINATION 18
CONFORMATIONAL STATISTICS OF DNA AND DIFFUSION EQUATIONS ON THE EUCLIDEAN GROUP 48
PERSPECTIVES ON DNA LOOPING 64
DIFFERENCES BETWEEN POSITIVELY ANDNEGATIVELY SUPERCOILED DNA THAT TOPOISOMERASES MAY DISTINGUISH 83
CALIBRATION OF TETHERED PARTICLE MOTION EXPERIMENTS 132
DIFFERENCE TOPOLOGY: ANALYSIS OF HIGH-ORDER DNA-PROTEIN ASSEMBLIES 148
USEFUL INTRUSIONS OF DNA TOPOLOGY INTO EXPERIMENTS ON PROTEIN-DNA GEOMETRY 168
TOPOLOGICAL ANALYSIS OF DNA-PROTEIN COMPLEXES 185
CLOSING THE LOOP ON PROTEIN-DNA INTERACTIONS:INTERPLAY BETWEEN SHAPE AND FLEXIBILITY INNUCLEOPROTEIN ASSEMBLIES HAVING IMPLICATIONS FOR BIOLOGICAL REGULATION 203
FOUR-WAY HELICAL JUNCTIONS IN DNA MOLECULES 221
MICROMECHANICS OF SINGLE SUPERCOILED DNA MOLECULES 233
FLEXIBILITY OF NUCLEOSOMES ON TOPOLOGICALLY CONSTRAINED DNA 258
THE MATHEMATICS OF DNA STRUCTURE, MECHANICS, AND DYNAMICS 299
PARADOX REGAINED: A TOPOLOGICAL COUPLING OF NUCLEOSOMAL DNA WRAPPING ANDCHROMATIN FIBRE COILING 327
STATISTICAL-MECHANICAL ANALYSIS OF ENZYMATIC TOPOLOGICAL TRANSFORMATIONS IN DNA MOLECULES 336
LIST OF WORKSHOP PARTICIPANTS 352

Erscheint lt. Verlag 30.7.2009
Reihe/Serie The IMA Volumes in Mathematics and its Applications
The IMA Volumes in Mathematics and its Applications
Zusatzinfo XII, 355 p.
Verlagsort New York
Sprache englisch
Themenwelt Mathematik / Informatik Mathematik Angewandte Mathematik
Medizin / Pharmazie Allgemeines / Lexika
Naturwissenschaften Biologie
Technik Medizintechnik
Schlagworte DNA • Function • Interactions • linear optimization • Mathematics • Regulation • Statistics • Structure • systems biology
ISBN-10 1-4419-0670-3 / 1441906703
ISBN-13 978-1-4419-0670-0 / 9781441906700
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