A Mathematical Age-structured Model on Aiha Using Delay Partial Differential Equations

In this paper we obtain exact global solution for the delay differential equations (DDEs) model in AIHA (Auto-immune hemolytic anemia) by an analytic approach. Three important parameters such as time t, age α and rate of production β are involved in DDEs of cell density in a hematological disorder. Hill functions are used for solution of DDEs as they constantly fit into the data while a study on the movement of oxygen is carried out. When the erythrocyte population increases the oxygen carrying capacity of the blood will also increase but anemia will decrease. The origin of the disease anemia is unclear. Mathematical model construction is something of an art in itself and the same can be said for parameter estimation. This will open new avenues for futuristic developments.

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