APPLICATION OF RENEWAL EQUATION AND MARKOV CHAIN TO THE INHERITANCE PATTERN OF SICKLE CELL ANAEMIA (SCA)

Akanbi, Olumuyiwa O. APPLICATION OF RENEWAL EQUATION AND MARKOV CHAIN TO THE INHERITANCE PATTERN OF SICKLE CELL ANAEMIA (SCA). In: The Federal Polytechnic, offa conference, The Federal Polytechnic, offa.

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Abstract

Sickle cell anaemia happens to be one of the sickle cell diseases characterized by the predominance of haemoglobin S. This paper investigates the dynamics of the disease by Renewal equation and the probability of acquiring any of the alleles by Markov Chain. The Renewal equation reflects the aboundance of AS group(carrier) at the long run. Meanwhile, the absorbing state of the system is mainly for the mating between three pairs namely AA&AA, AA&SS and SS&SS. In the same vein the Markov process also reflects that AS group has greater potential to remain aboundant in the system. The study concludes that, with or without genotype screening before marriage, the population of AS group will be in aboundance, which implies that AS&AS relative activities cannot be permanently zero. Hence curative measure is the only permanent solution to the emergence of sickle cell anaemia.

Item Type: Conference or Workshop Item (Paper)
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: Mr Taiwo Egbeyemi
Date Deposited: 28 Jun 2020 20:21
Last Modified: 28 Jun 2020 20:21
URI: http://eprints.federalpolyilaro.edu.ng/id/eprint/782

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