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020 _a9783031402586
024 7 _a10.1007/978-3-031-40258-6
_2doi
040 _aES-MaUEC
_bspa
_cES-MaUEC
_dES-MaUEC
050 4 _aQH323.5
_b2023 EB
100 1 _aCosta, David G.
_eautor
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_9689796
245 1 3 _aAn Invitation to Mathematical Biology
_cby David G. Costa, Paul J. Schulte
250 _a1st ed. 2023
264 1 _aCham
_bSpringer International Publishing
_c2023
300 _a1 recurso en línea
336 _atexto
_btxt
_2rdacontent
337 _aelectrónico
_bc
_2rdamedia
338 _arecurso electrónico
_bcr
_2rdacarrier
505 0 _aPreface -- 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 _aThe 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.
988 _aSpringer_BiomedLife_2023
650 7 _2embne
_9145951
_aBiomatemáticas
700 1 _9689797
_aSchulte, Paul J.
_eautor
856 4 0 _uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-031-40258-6
_zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942 _2lcc
_cLE
998 _b03/2024
_dz
_eb
_zSI