Applications of Dynamical Systems in Biology and Medicine
Editors: Jackson, Trachette, Radunskaya, Ami (Eds.)
Free Preview- Showcases original research conducted on the biological and medical application areas with links to dynamics and control
- Articles written by and based on research conducted by teams of women mathematicians
- Covers a wide range of computational approaches to dynamical problems in biology and medicine
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- About this book
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This volume highlights problems from a range of biological and medical applications that can be interpreted as questions about system behavior or control. Topics include drug resistance in cancer and malaria, biological fluid dynamics, auto-regulation in the kidney, anti-coagulation therapy, evolutionary diversification and photo-transduction. Mathematical techniques used to describe and investigate these biological and medical problems include ordinary, partial and stochastic differentiation equations, hybrid discrete-continuous approaches, as well as 2 and 3D numerical simulation.
- Table of contents (9 chapters)
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Emergence of Anti-Cancer Drug Resistance: Exploring the Importance of the Microenvironmental Niche via a Spatial Model
Pages 1-34
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Flow Induced by Bacterial Carpets and Transport of Microscale Loads
Pages 35-53
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Modeling Blood Flow Control in the Kidney
Pages 55-73
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Injury-Initiated Clot Formation Under Flow: A Mathematical Model with Warfarin Treatment
Pages 75-98
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Clustering in Inhibitory Neural Networks with Nearest Neighbor Coupling
Pages 99-121
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Table of contents (9 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Applications of Dynamical Systems in Biology and Medicine
- Editors
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- Trachette Jackson
- Ami Radunskaya
- Series Title
- The IMA Volumes in Mathematics and its Applications
- Series Volume
- 158
- Copyright
- 2015
- Publisher
- Springer-Verlag New York
- Copyright Holder
- Springer Science+Business Media, LLC
- eBook ISBN
- 978-1-4939-2782-1
- DOI
- 10.1007/978-1-4939-2782-1
- Hardcover ISBN
- 978-1-4939-2781-4
- Softcover ISBN
- 978-1-4939-5008-9
- Series ISSN
- 0940-6573
- Edition Number
- 1
- Number of Pages
- XI, 233
- Number of Illustrations
- 42 b/w illustrations, 37 illustrations in colour
- Topics