Laboratory Manual of Biomathematics - 1st Edition - ISBN: 9780123740229, 9780080565040

Laboratory Manual of Biomathematics

1st Edition

Authors: Raina Robeva James Kirkwood
eBook ISBN: 9780080565040
Paperback ISBN: 9780123740229
Imprint: Academic Press
Published Date: 28th August 2007
Page Count: 192
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Description

Laboratory Manual of Biomathematics is a companion to the textbook An Invitation to Biomathematics. This laboratory manual expertly aids students who wish to gain a deeper understanding of solving biological issues with computer programs.

It provides hands-on exploration of model development, model validation, and model refinement, enabling students to truly experience advancements made in biology by mathematical models. Each of the projects offered can be used as individual module in traditional biology or mathematics courses such as calculus, ordinary differential equations, elementary probability, statistics, and genetics. Biological topics include: Ecology, Toxicology, Microbiology, Epidemiology, Genetics, Biostatistics, Physiology, Cell Biology, and Molecular Biology .

Mathematical topics include Discrete and continuous dynamical systems, difference equations, differential equations, probability distributions, statistics, data transformation, risk function, statistics, approximate entropy, periodic components, and pulse-detection algorithms. It includes more than 120 exercises derived from ongoing research studies.

This text is designed for courses in mathematical biology, undergraduate biology majors, as well as general mathematics. The reader is not expected to have any extensive background in either math or biology.

Key Features

  • Can be used as a computer lab component of a course in biomathematics or as homework projects for independent student work
  • Biological topics include: Ecology, Toxicology, Microbiology, Epidemiology, Genetics, Biostatistics, Physiology, Cell Biology, and Molecular Biology
  • Mathematical topics include: Discrete and continuous dynamical systems, difference equations, differential equations, probability distributions, statistics, data transformation, risk function, statistics, approximate entropy, periodic components, and pulse-detection algorithms
  • Includes more than 120 exercises derived from ongoing research studies

Readership

Courses in mathematical biology, undergraduate biology majors, as well as general mathematics. The reader is not expected to have any extensive background in either math or biology.

Table of Contents


Preface

Laboratory 1 Exploring Berkeley Madonna in the Context of Single-Species Population Dynamics

Laboratory 2 Logistic Models of Single-Species Population Dynamics, Equilibrium States, and Long-Term Behavior

Laboratory 3 Physiological Mechanisms of Drug Elimination from the Bloodstream and Optimal Drug Intake Regimens

Laboratory 4 Epidemic Models

Laboratory 5 Predator–Prey Models

Laboratory 6 Selection in Genetics: The Effect of A Maladaptive or Lethal Gene

Laboratory 7 Quantitative Genetics and Statistics

Laboratory 8 Blood Glucose Fluctuation Characteristics in Type I versus Type II Diabetes Mellitus

Laboratory 9 Using Heartbeat Characteristics and Patterns to Predict Sepsis in Neonates

Laboratory 10 Hormone Pulsatility in Reproductive Endocrinology

Laboratory 11 Endocrine Oscillators: Modeling and Analysis of the Growth Hormone Network

Laboratory 12 Chemical Perturbation on the Operations of Circadian Clocks

Details

No. of pages:
192
Language:
English
Copyright:
© Academic Press 2008
Published:
Imprint:
Academic Press
eBook ISBN:
9780080565040
Paperback ISBN:
9780123740229

About the Author

Raina Robeva

Raina Robeva was born in Sofia, Bulgaria. She has a PhD in Mathematics from the University of Virginia and has led multiple NSF-funded curriculum development projects at the interface of mathematics and biology. She is the lead author of the textbook An Invitation to Biomathematics (2008) and the lead editor of the volume Mathematical Concepts and Methods in Modern Biology: Using Modern Discrete Models (2013), both published by Academic Press. Robeva is the founding Chief Editor of the research journal Frontiers in Systems Biology. She is a professor of Mathematical Sciences at Sweet Briar College and lives in Charlottesville, Virginia.

Affiliations and Expertise

Professor of Mathematical Sciences, Sweet Briar College, Sweet Briar, VA, USA

James Kirkwood

Affiliations and Expertise

Sweet Briar College, Virginia, U.S.A.