Laboratory Manual of Biomathematics

ISBN-13: 9780123740229 / Angielski / Miękka / 2007 / 178 str.

Raina S. Robeva; James R. Kirkwood; Robin L. Davies

Opis

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.

• 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

Spis treści

Preface Laboratory 1 Exploring Berkeley Madonna in the Context of Single-Species Population DynamicsLaboratory 2 Logistic Models of Single-Species Population Dynamics, Equilibrium States, and Long-Term BehaviorLaboratory 3 Physiological Mechanisms of Drug Elimination from the Bloodstream and Optimal Drug Intake RegimensLaboratory 4 Epidemic ModelsLaboratory 5 Predator-Prey ModelsLaboratory 6 Selection in Genetics: The Effect of A Maladaptive or Lethal GeneLaboratory 7 Quantitative Genetics and StatisticsLaboratory 8 Blood Glucose Fluctuation Characteristics in Type I versus Type II Diabetes MellitusLaboratory 9 Using Heartbeat Characteristics and Patterns to Predict Sepsis in NeonatesLaboratory 10 Hormone Pulsatility in Reproductive EndocrinologyLaboratory 11 Endocrine Oscillators: Modeling and Analysis of the Growth Hormone NetworkLaboratory 12 Chemical Perturbation on the Operations of Circadian Clocks

O autorze

Raina Robeva was born in Sofia, Bulgaria. She holds a PhD in Mathematics from the University of Virginia and has broad research interests spanning theoretical mathematics, applied probability, and systems biology. Robeva is the founding Chief Editor of the journal Frontiers in Systems Biology and the lead author/editor of the books An Invitation to Biomathematics (2008), Mathematical Concepts and Methods in Modern Biology: Using Modern Discrete Models (2013), and Algebraic and Discrete Mathematical Methods for Modern Biology (2015), all published by Academic Press. She is Professor of Mathematical Sciences and Director of the Center for Science and Technology in Society at Sweet Briar College.