Introducing Mathematical Biology
Not rated yetRate this bookIntroducing Mathematical Biology develops ordinary differential equation models for biological questions. Alex Best connects population ecology, disease, cell dynamics, gene networks and pharmacokinetics with model analysis, exercises and optional Python exploration.
FreeAbout this book
The introduction defines a deliberate mathematical scope: the models in the book are ordinary differential equations, including linear and nonlinear systems. It assumes material from the first year or two of undergraduate mathematics and supplies background reviews for some later concepts. Readers can follow the text in sequence or select an application area. Exercises ask readers to attempt intermediate work before revealing solutions, and some online material supports computational exploration. Biological and medical examples are studied as models; the page does not present them as clinical instructions or claims about a particular patient.
The attached edition contains 162 PDF pages, including front matter. Cover: source edition title page rendered from the PDF. The textbook and its original notices are retained; Academic Master’s study material is separate from the source text.
Book summary
Study overview of the reviewed opening
Best’s introduction describes mathematical models as tools for asking questions about biological and medical systems. It acknowledges that the wider field uses many forms of modelling, but deliberately limits this resource to ordinary differential equations. This helps a reader understand both what is included and what lies outside the book’s method.
The application areas range from interactions between populations to infectious disease, immune and cell dynamics, gene regulation and drug movement within a model. The introduction expects familiarity with basic differential equations and related mathematics, while offering optional reviews for readers who need further preparation.
The intended learning process is participatory. Readers attempt exercises that contribute to the development of the material, then compare their work with the available solution. Optional Python examples allow exploration without making prior coding experience a requirement for every reader. The page summarises the introduction and verified chapter map, not all models or their assumptions. The online version contains interactive features that should be distinguished from the static PDF.
Book contents
- Introduction
- Population ecology
- Infectious disease
- Immune and cell dynamics
- Gene networks
- Pharmacokinetics
- Background reviews
- Final thoughts and acknowledgements
- References
Questions for study
The following prompts are Academic Master’s editorial material.
- What does choosing ordinary differential equations include and exclude?
- Which assumptions should be recorded when interpreting a biological model?
- How can computation complement an analytical solution?
Sources and coverage
Introduction read in full (PDF pages 9–12); title, licence and contents checked.
Check this edition’s source and licence before reusing its files or content. A library listing does not grant additional rights.
Read our Library Access & Copyright policyModel scope
Identify the book’s ordinary differential equation focus.
Mathematical preparation
Recognise the assumed undergraduate background.
Active working
Connect intermediate exercises with understanding.
Model interpretation
Distinguish a model from direct clinical guidance.
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