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May 1999 A stochastic spatial process to model the persistence of sickle-cell disease
J. Theodore Cox, Rinaldo B. Schinazi
Ann. Appl. Probab. 9(2): 319-330 (May 1999). DOI: 10.1214/aoap/1029962744


We consider a gene with two alleles. Allele A is normal, allele S is abnormal. Individuals with genotype SS have a severe disease called sickle-cell disease. Individuals with genotype AS are not sick, and it is thought that they are more resistant to malarial infection than individuals with genotype AA. This could explain why the allele S has persisted in regions where malaria is endemic. We use a stochastic spatial process to test this hypothesis. For our model, we show that if the genotype AS has an advantage over the genotype AA, then the allele S will persist in the population even if the genotype SS is not viable.


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J. Theodore Cox. Rinaldo B. Schinazi. "A stochastic spatial process to model the persistence of sickle-cell disease." Ann. Appl. Probab. 9 (2) 319 - 330, May 1999.


Published: May 1999
First available in Project Euclid: 21 August 2002

zbMATH: 0927.92020
MathSciNet: MR1687351
Digital Object Identifier: 10.1214/aoap/1029962744

Primary: 60K35

Keywords: Genetics , sickle-cell disease , Stochastic spatial model , thalassemia , voter model

Rights: Copyright © 1999 Institute of Mathematical Statistics


Vol.9 • No. 2 • May 1999
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