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Fisher – Kolmogorov – Petrovsky – Piskunov Equation Srinivas Setty

Fisher – Kolmogorov – Petrovsky – Piskunov EquationFisher-KPP Equation: Mathematical Basis to Gene Diffusion p – frequency of mutant allele q – frequency of parent allele

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Fisher – Kolmogorov – Petrovsky – Piskunov Equation

Srinivas Setty
Ronald Fisher: 1890 - 1962
Null Hypothesis: Hypothesis stating

that there is no statistically

significant difference between two

data sets
Considered by many statisticians

and biologists to be a spiritual

successor to Darwin’s “The Origin of

Species”
Kpp Equation: Diffusion and Reaction

“Diffusion” “Reaction”
Fisher-KPP Equation: Advantageous Genes
Fisher-KPP Equation: Mathematical Basis to Gene Diffusion

p – frequency of mutant allele

q – frequency of parent allele

m – intensity of selection in favor of the mutant gene

-k(dp/dx) – Rate of allelic diffusion spatially over population boundaries

k – diffusion constant unique to allele and species
Applications
References

https://www.famousscientists.org/ronald-fisher/

Fisher, R. A. “The Wave Of Advance Of Advantageous Genes.” Annals of Eugenics, vol. 7, no. 4, 1937, pp. 355–369., doi:10.1111/j.1469-1809.1937.tb02153.x.

https://www.famousscientists.org/ronald-fisher/https://www.famousscientists.org/ronald-fisher/

Slide 1Ronald Fisher: 1890 - 1962Slide 3Slide 4Slide 5Slide 6Slide 7Slide 8Kpp Equation: Diffusion and ReactionFisher-KPP Equation: Advantageous GenesFisher-KPP Equation: Mathematical Basis to Gene DiffusionApplicationsReferences

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