Continuous-time model and physical simulation of population dynamics of sickle cell anaemia

Akanbi, O. O.; Edeki, S. O.; Agbolade, O. A.

International Journal of Advanced and Applied Sciences

Int. j. adv. appl. sci.

EISSN: 2313-3724

Print ISSN: 2313-626X

Volume 4, Issue 6 (June 2017), Pages: 14-18

Title: Continuous-time model and physical simulation of population dynamics of sickle cell anaemia

Author(s): O. O. Akanbi ^{1, 2}, S. O. Edeki ^2,*, O. A. Agbolade ^{1, 2}

Affiliation(s):

¹Department of Mathematics & Statistics, Federal Polytechnic Ilaro, Ilaro, Nigeria
²Department of Mathematics, Covenant University, Ota, Nigeria

https://doi.org/10.21833/ijaas.2017.06.002

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Abstract:

Sickle Cell Disease (SCD) is a potentially devastating condition that is caused by an autosomal recessive inherited hemoglobinopathy which results in the vaso-occlusive phenomena and hemolysis. Sickle Cell Anaemia (SCA) is the most common form of SCD. As such, this paper provides an insight on the mathematical transmission dynamics of SCA and develops a physical realistic model. A female dominant renewal equation of birth dynamics was developed. Hardy-Weinberg equation is applied to obtain the frequency of different genotype groups for the physical simulation. We realized an average of 70% neonates normal (AA), 27% carrier (AS), and 3% sicklers (SS), which is typically the real world result. This implies that physical simulation is an effective tool in predicting the genetic make-up of any population.

This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

Keywords: Renewal equation, Hardy-weinberg equation, Simulation mating pattern, Sicklers, Interaction function

Article History: Received 11 December 2016, Received in revised form 15 March 2017, Accepted 27 April 2017

Digital Object Identifier:

https://doi.org/10.21833/ijaas.2017.06.002

Citation:

Akanbi OO, Edeki SO, and Agbolade OA (2017). Continuous-time model and physical simulation of population dynamics of sickle cell anaemia. International Journal of Advanced and Applied Sciences, 4(6): 14-18

http://www.science-gate.com/IJAAS/V4I6/Akanbi.html

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