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Case studies in mathematical modeling--ecology, physiology, and cell biology

Author: H G Othmer; et al
Publisher: Upper Saddle River, N.J. : Prentice Hall, ©1997.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:
"This volume is a collection of case studies designed to instruct advanced undergraduates and beginning graduate students in the art and science of modeling applied to biological problems. Students with quantitative science background (some knowledge of differential equations) are introduced to the diversity, excitement, and accessibility of problems in the life sciences, and exposed to the intellectual tools for  Read more...
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Genre/Form: Case studies
Additional Physical Format: Online version:
Case studies in mathematical modeling--ecology, physiology, and cell biology.
Upper Saddle River, N.J. : Prentice Hall, c1997
(OCoLC)648398439
Document Type: Book
All Authors / Contributors: H G Othmer; et al
ISBN: 0135740398 9780135740392
OCLC Number: 35911718
Description: viii, 410 p. : ill. ; 23 cm.
Contents: Pt. I. Ecology and Evolution / Frederick R. Adler --
1. You Bet Your Life: Life-History Strategies in Fluctuating Environments / Stephen P. Ellner --
2. The Evolution of Species' Niches: A Population Dynamic Perspective / Robert D. Holt and Richard Gomulkiewicz --
3. Reflections on Models of Epidemics Triggered by the Case of Phocine Distemper Virus among Seals / Odo Diekmann --
4. Simple Representations of Biomass Dynamics in Structured Populations / R. M. Nisbet, E. McCauley and W. S. C. Gurney --
5. Ancestral Inference from DNA Sequence Data / Simon Tavare --
Pt. II. Cell Biology / Mark A. Lewis --
6. Signal Transduction and Second Messenger Systems / Hans G. Othmer --
7. The Eukaryotic Cell Cycle: Molecules, Mechanisms, and Mathematical Models / John J. Tyson, Kathy Chen and Bela Novak --
8. Mathematical Models of Hematopoietic Cell Replication and Control / Michael C. Mackey --
9. Oscillations and Multistability in Delayed Feedback Control / John Milton and Jennifer Foss --
10. Calcium and Membrane Potential Oscillations in Pancreatic [beta]-Cells / Arthur Sherman --
Pt. III. Physiology / Hans G. Othmer --
11. Mathematical Modelling of Muscle Crossbridge Mechanics / Edward Pate --
12. The Topology of Phase Resetting and the Entrainment of Limit Cycles / Leon Glass --
13. Modeling the Interaction of Cardiac Muscle with Strong Electric Fields / Wanda Krassowska --
14. Fluid Dynamics of the Heart and its Valves / Charles S. Peskin and David M. McQueen --
15. Bioconvection / N. A. Hill --
A. Age-structured Models / Frederick R. Adler --
B. Qualitative Theory of Ordinary Differential Equations / Mark A. Lewis and Hans G. Othmer --
C. An Introduction to Partial Differential Equations / Hans G. Othmer.
Responsibility: Hans G. Othmer ... [et al.].

Abstract:

A core book or supplement for biology courses or math biology courses, this book is a compilation of case studies that illustrate the unifying role of applied mathematics throughout the biological  Read more...

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schema:description"Pt. I. Ecology and Evolution / Frederick R. Adler -- 1. You Bet Your Life: Life-History Strategies in Fluctuating Environments / Stephen P. Ellner -- 2. The Evolution of Species' Niches: A Population Dynamic Perspective / Robert D. Holt and Richard Gomulkiewicz -- 3. Reflections on Models of Epidemics Triggered by the Case of Phocine Distemper Virus among Seals / Odo Diekmann -- 4. Simple Representations of Biomass Dynamics in Structured Populations / R. M. Nisbet, E. McCauley and W. S. C. Gurney -- 5. Ancestral Inference from DNA Sequence Data / Simon Tavare -- Pt. II. Cell Biology / Mark A. Lewis -- 6. Signal Transduction and Second Messenger Systems / Hans G. Othmer -- 7. The Eukaryotic Cell Cycle: Molecules, Mechanisms, and Mathematical Models / John J. Tyson, Kathy Chen and Bela Novak -- 8. Mathematical Models of Hematopoietic Cell Replication and Control / Michael C. Mackey -- 9. Oscillations and Multistability in Delayed Feedback Control / John Milton and Jennifer Foss -- 10. Calcium and Membrane Potential Oscillations in Pancreatic [beta]-Cells / Arthur Sherman -- Pt. III. Physiology / Hans G. Othmer -- 11. Mathematical Modelling of Muscle Crossbridge Mechanics / Edward Pate -- 12. The Topology of Phase Resetting and the Entrainment of Limit Cycles / Leon Glass -- 13. Modeling the Interaction of Cardiac Muscle with Strong Electric Fields / Wanda Krassowska -- 14. Fluid Dynamics of the Heart and its Valves / Charles S. Peskin and David M. McQueen -- 15. Bioconvection / N. A. Hill -- A. Age-structured Models / Frederick R. Adler -- B. Qualitative Theory of Ordinary Differential Equations / Mark A. Lewis and Hans G. Othmer -- C. An Introduction to Partial Differential Equations / Hans G. Othmer."@en
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schema:reviewBody""This volume is a collection of case studies designed to instruct advanced undergraduates and beginning graduate students in the art and science of modeling applied to biological problems. Students with quantitative science background (some knowledge of differential equations) are introduced to the diversity, excitement, and accessibility of problems in the life sciences, and exposed to the intellectual tools for successful mathematical modeling." "Each chapter distills lectures given by a leading researcher during a Special Year in Mathematical Biology at the University of Utah in 1995-96. Authors were asked to provide an in-depth exposition of a crucial problem in their area of expertise. The resulting case studies lead students through the formulation, solution, and interpretation of cutting-edge research, catapulting them directly into the research process. To emphasize the unifying power of mathematical methods in biology, authors, have drawn from three highly active areas of research in the life sciences: ecology, physiology, and cell biology."--BOOK JACKET."
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