An Invitation to Mathematical Biology
The textbook is designed to provide a "non-intimidating" entry to the field of mathematical biology. It is also useful for those wishing to teach an introductory course. Although there are many good mathematical biology texts available, most books are too advanced mathematically for most b...
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| Format: | Electronic eBook |
| Language: | English |
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Cham :
Springer International Publishing : Imprint: Springer,
2023.
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| Edition: | 1st ed. 2023. |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/978-3-031-40258-6 |
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| 001 | 978-3-031-40258-6 | ||
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| 020 | |a 9783031402586 |9 978-3-031-40258-6 | ||
| 024 | 7 | |a 10.1007/978-3-031-40258-6 |2 doi | |
| 050 | 4 | |a QH301-705 | |
| 072 | 7 | |a PSA |2 bicssc | |
| 072 | 7 | |a SCI086000 |2 bisacsh | |
| 072 | 7 | |a PSA |2 thema | |
| 082 | 0 | 4 | |a 570 |2 23 |
| 100 | 1 | |a Costa, David G. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 3 | |a An Invitation to Mathematical Biology |h [electronic resource] / |c by David G Costa, Paul J Schulte. |
| 250 | |a 1st ed. 2023. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2023. | |
| 300 | |a 1 online resource (IX, 124 p. 71 illus.). |b 66 illus. in color. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 341 | 0 | |b Table of contents navigation |2 onix | |
| 341 | 0 | |b Single logical reading order |2 onix | |
| 341 | 0 | |b Short alternative textual descriptions |2 onix | |
| 341 | 0 | |b Use of colour is Not sole means of conveying information |2 onix | |
| 341 | 0 | |b Use of high contrast between text and background colour |2 onix | |
| 341 | 0 | |b Next / Previous structural navigation |2 onix | |
| 341 | 0 | |b All Non-decorative content supports reading without sight |2 onix | |
| 347 | |a text file |b PDF |2 rda | ||
| 505 | 0 | |a Preface -- 1 Introduction -- 2 Exponential Growth and Decay -- 2.1 Exponential Growth -- 2.2 Exponential Decay -- 2.3 Summary -- 2.4 Exercises -- 2.5 References- 3 Discrete Time Models -- 3.1 Solutions of the discrete logistic -- 3.2 Enhancements to the Discrete Logistic Function -- 3.3 Summary -- 3.4 Exercises -- 3.5 References- 4 Fixed Points, Stability, and Cobwebbing -- 4.1 Fixed Points and Cobwebbing -- 4.2 Linear Stability Analysis -- 4.3 Summary -- 4.4 Exercises -- 4.5 References- 5 Population Genetics Models -- 5.1 Two Phenotypes Case -- 5.2 Three Phenotypes Case -- 5.3 Summary -- 5.4 Exercises -- 5.5 References- 6 Chaotic Systems -- 6.1 Robert May’s Model -- 6.2 Solving the Model -- 6.3 Model Fixed Points -- 6.4 Summary -- 6.5 Exercises -- 6.6 References- 7 Continuous Time Models -- 7.1 The Continuous Logistic Equation -- 7.2 Equilibrium States and their Stability -- 7.3 Continuous Logistic Equation with Harvesting -- 7.4 Summary -- 7.5 Exercises -- 7.6 References- -- 8 Organism-Organism Interaction Models.-8.1 Interaction Models Introduction -- 8.2 Competition -- 8.3 Predator-Prey -- 8.4 Mutualism -- 8.5 Summary -- 8.6 Exercises -- 8.7 References- 9 Host-Parasitoid Models -- 9.1 Beddington Model -- 9.2 Some Solutions of the Beddington Model -- 9.3 MATLAB Solution for the Host-Parasitoid Model -- 9.4 Python Solution for the Host-Parasitoid Model -- 9.5 Summary -- 9.6 Exercises -- 9.7 References- 10 Competition Models with Logistic Term -- 10.1Addition of Logistic Term to Competition Models -- 10.2 Predator-Prey-Prey Three Species Model -- 10.3Predator-Prey-Prey Model Solutions -- 10.4 Summary -- 10.5Exercises -- 10.6References- 11 Infectious Disease Models -- 11.1 Basic Compartment Modeling Approaches -- 11.2SI Model -- 11.3SI model with Growth in S -- 11.4 Applications using Mathematica -- 11.5 Applications using MATLAB -- 11.6 Summary -- 11.7 Exercises -- 11.8 References- 12 Organism Environment Interactions -- 12.1 Introduction to Energy Budgets -- 12.2 Radiation -- 12.3 Convection -- 12.4 Transpiration -- 12.5 Total Energy Budget -- 12.6 Solving the Budget: Newton’s Method for Root Finding -- 12.7 Experimenting with the Leaf Energy Budget -- 12.8 Summary -- 12.9 Exercises -- 12.10 References- 13 Appendix 1: Brief Review of Differential Equations in Calculus- 14 Appendix 2: Numerical Solutions of ODEs- 15 Appendix 3: Tutorial on Mathematica- 16 Appendix 4: Tutorial on MATLAB- 17 Appendix 5: Tutorial on Python Programming- Index. | |
| 520 | |a The textbook is designed to provide a "non-intimidating" entry to the field of mathematical biology. It is also useful for those wishing to teach an introductory course. Although there are many good mathematical biology texts available, most books are too advanced mathematically for most biology majors. Unlike undergraduate math majors, most biology major students possess a limited math background. Given that computational biology is a rapidly expanding field, more students should be encouraged to familiarize themselves with this powerful approach to understand complex biological phenomena. Ultimately, our goal with this undergraduate textbook is to provide an introduction to the interdisciplinary field of mathematical biology in a way that does not overly terrify an undergraduate biology major, thereby fostering a greater appreciation for the role of mathematics in biology. | ||
| 532 | 8 | |a Accessibility summary: This PDF does Not fully comply with PDF/UA standards but does include limited screen reader support, descriptions for Non-text content (such as images and graphs), bookmarks for easy navigation, and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognise the importance of accessibility and welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us via https://www.springernature.com/gp/info/accessibility | |
| 532 | 8 | |a Inaccessible, or known limited accessibility | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 588 | |a Print version record. | ||
| 650 | 0 | |a Biology. | |
| 650 | 0 | |a Medical sciences. | |
| 650 | 0 | |a Bioinformatics. | |
| 650 | 0 | |a Biomathematics. | |
| 650 | 0 | |a Population genetics. | |
| 650 | 0 | |a System theory. | |
| 650 | 1 | 4 | |a Biological Sciences. |
| 650 | 2 | 4 | |a Health Sciences. |
| 650 | 2 | 4 | |a Computational and Systems Biology. |
| 650 | 2 | 4 | |a Mathematical and Computational Biology. |
| 650 | 2 | 4 | |a Population Genetics. |
| 650 | 2 | 4 | |a Complex Systems. |
| 700 | 1 | |a Schulte, Paul J. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783031402579 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031402593 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031402609 |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-031-40258-6 |
| 912 | |a ZDB-2-SBL | ||
| 912 | |a ZDB-2-SXB | ||
| 950 | |a Biomedical and Life Sciences (SpringerNature-11642) | ||
| 950 | |a Biomedical and Life Sciences (R0) (SpringerNature-43708) | ||