An Introduction to Undergraduate Research in Computational and Mathematical Biology
From Birdsongs to Viscosities
Editors: Callender Highlander, Hannah, Capaldi, Alex, Diaz Eaton, Carrie (Eds.)
Free Preview- Simplifies the process of identifying suitable, open research problems in mathematical and computational biology for undergraduate students and their advisers
- Comprised of self-contained chapters that provide recommendations for undergraduate-accessible research problems, as well as the necessary mathematical fundamentals for undertaking these problems
- Provides lists of prerequisite courses for each suggested research topic
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- About this Textbook
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Speaking directly to the growing importance of research experience in undergraduate mathematics programs, this volume offers suggestions for undergraduate-appropriate research projects in mathematical and computational biology for students and their faculty mentors. The aim of each chapter is twofold: for faculty, to alleviate the challenges of identifying accessible topics and advising students through the research process; for students, to provide sufficient background, additional references, and context to excite students in these areas and to enable them to successfully undertake these problems in their research.
Some of the topics discussed include:
• Oscillatory behaviors present in real-world applications, from seasonal outbreaks of childhood diseases to action potentials in neurons
• Simulating bacterial growth, competition, and resistance with agent-based models and laboratory experiments
• Network structure and the dynamics of biological systems
• Using neural networks to identify bird species from birdsong samples
• Modeling fluid flow induced by the motion of pulmonary ciliaAimed at undergraduate mathematics faculty and advanced undergraduate students, this unique guide will be a valuable resource for generating fruitful research collaborations between students and faculty.
- About the authors
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Hannah Callender Highlander is an Associate Professor of Mathematics at the University of Portland in Portland, Oregon.
Alex Capaldi is an Associate Professor of Mathematics and Statistics at Valparaiso University in Valparaiso, Indiana.
Carrie Diaz Eaton is an Associate Professor of Digital and Computational Studies at Bates College in Lewiston, Maine.
- Table of contents (10 chapters)
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Building New Models: Rethinking and Revising ODE Model Assumptions
Pages 1-86
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A Tour of the Basic Reproductive Number and the Next Generation of Researchers
Pages 87-124
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The Effect of External Perturbations on Ecological Oscillators
Pages 125-154
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Exploring Modeling by Programming: Insights from Numerical Experimentation
Pages 155-215
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Simulating Bacterial Growth, Competition, and Resistance with Agent-Based Models and Laboratory Experiments
Pages 217-271
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Table of contents (10 chapters)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- An Introduction to Undergraduate Research in Computational and Mathematical Biology
- Book Subtitle
- From Birdsongs to Viscosities
- Editors
-
- Hannah Callender Highlander
- Alex Capaldi
- Carrie Diaz Eaton
- Series Title
- Foundations for Undergraduate Research in Mathematics
- Copyright
- 2020
- Publisher
- Birkhäuser Basel
- Copyright Holder
- Springer Nature Switzerland AG
- eBook ISBN
- 978-3-030-33645-5
- DOI
- 10.1007/978-3-030-33645-5
- Hardcover ISBN
- 978-3-030-33644-8
- Softcover ISBN
- 978-3-030-33647-9
- Series ISSN
- 2520-1212
- Edition Number
- 1
- Number of Pages
- XII, 469
- Number of Illustrations
- 50 b/w illustrations, 57 illustrations in colour
- Topics
