BioTech Encyclopedia

Classic mathematical models of life (Lotka–Volterra, SIR, Hodgkin–Huxley): uses in research

Also: predator–prey, epidemic model, neuron model

Equations that describe predator–prey cycles, epidemics and nerve impulses.

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Timeline

  1. 1926 Predator–prey fluctuations
  2. 1927 Mathematical theory of epidemics
  3. 1952 How nerve impulses work

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biology

lab biology 1926

Predator–prey fluctuations

Volterra modelled fluctuations in species abundance mathematically, the basis of Lotka–Volterra predator–prey equations.

As reported in: VOLTERRA (1926). Fluctuations in the Abundance of a Species considered Mathematically1. Nature. doi:10.1038/118558a0

Abstract only

lab biology 1952

How nerve impulses work

Hodgkin and Huxley gave a quantitative description of membrane current and its role in nerve conduction and excitation.

As reported in: Hodgkin, Huxley (1952). A quantitative description of membrane current and its application to conduction and excitation in nerve. The Journal of Physiology. doi:10.1113/jphysiol.1952.sp004764

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biomedical

lab biomedical 1927

Mathematical theory of epidemics

Kermack and McKendrick developed a mathematical theory of epidemic spread, the origin of SIR models.

As reported in: Kermack, McKendrick (1927). A contribution to the mathematical theory of epidemics. Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character. doi:10.1098/rspa.1927.0118

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