WSEAS Transactions on Biology and Biomedicine
Print ISSN: 1109-9518, E-ISSN: 2224-2902
Volume 13, 2016
Some Solutions to a System of Equations Modelled for Viral Dynamics Subsequent to a Liver Transplantation in Patients with Chronic Hepatitis B and D
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Abstract: Patients who lost livers through cirrhosiss resulting from a Hepatitis virus, are at risk of reinfection after transplantation. Blood processes dynamics are good indicators of this occurring again. In this contribution, we study a mechanistic model, on these blood processes, consisting of a system of ordinary differential equations. We first obtain simple solution through variation of parameters, by exploiting an error at the core of Euler’s ansatz for solving linear ordinary differential equations. Once that is done, we then fully explore the model fully through symmetry analysis. The traditional regular symmetries usually lead to expressions that are impossible to integrate, subsequently forcing the analyst to consider special cases that may not even be practical. Here we modify the symmetries to avert this.
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Keywords: Infectious diseases, Ordinary differential equations, Symmetry analysis, Variation of parameters, Viral dynamics
Pages: 52-66
WSEAS Transactions on Biology and Biomedicine, ISSN / E-ISSN: 1109-9518 / 2224-2902, Volume 13, 2016, Art. #8