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Mathematical Biology
Biology, as is usually taught, requires memorizing a wide selection of facts and remembering them for exams, sometimes forgetting them soon after. For students exposed to biology in secondary school, this text may seem like a different subject. The ability to model problems using mathematics requires almost no rote memorization, but it does require a deep understanding of basic principles and a wide range of mathematical techniques.
- Author
- Jeffrey R. Chasnov
- Publisher
- Hong Kong University of Science and Technology
- Source
- LibreTexts
- License
- CC BY
- Language
- EN
- Category
- Basic Sciences
Contents· 43 sections
- 01: Population Dynamics
- 1.01: The Malthusian Growth Model
- 1.02: The Logistic Equation
- 1.03: A Model of Species Competition
- 1.04: The Lotka-Volterra Predator-Prey Model
- 02: Age-structured Populations
- 2.01: Fibonacci's Rabbits
- 2.02: The Golden Ratio
- 2.03: The Fibonacci Numbers in a Sunflower
- 2.04: Rabbits are an Age-Structured Population
- 2.05: Discrete Age-Structured Populations
- 2.06: Continuous Age-Structured Populations
- 2.07: The Brood Size of a Hermaphroditic Worm
- 03: Stochastic Population Growth
- 3.01: A Stochastic Model of Population Growth
- 3.02: Asymptotics of Large Initial Populations
- 3.03: Simulation of Population Growth
- 04: Infectious Disease Modeling
- 4.01: The SI Model
- 4.02: The SIS Model
- 4.03: The SIR Epidemic Disease Model
- 4.04: Vaccination
- 4.05: The SIR Endemic Disease Model
- 4.06: Evolution of Virulence
- 05: Population Genetics
- 5.01: Haploid Genetics
- 5.02: Diploid Genetics
- 5.03: Frequency-Dependent Selection
- 5.04: Linkage Equilibrium
- 5.05: Random Genetic Drift
- 06: Biochemical Reactions
- 6.01: The Law of Mass Action
- 6.02: Enzyme Kinetics
- 6.03: Competitive Inhibition
- 6.04: Allosteric Inhibition
- 6.05: Cooperativity
- 07: Sequence Alignment
- 7.01: DNA
- 7.02: Brute Force Alignment
- 7.03: Dynamic Programming
- 7.04: Gaps
- 7.05: Local Alignments
- 7.06: Software