Mathematical modeling regulatory mechanisms of a viral infection caused by hepatitis D virus with taking into account co-infection and super-infection

Abstract

Abstract The purpose of this paper is to develop mathematical and computer models for the regulatory mechanisms of the interconnected activity between liver cells, the hepatitis B virus and hepatitis D virus molecular-genetic systems at hepatitis D infectious process. The paper draws the results made by using methods of quantitative and qualitative analyse of functional-differential equations. The paper concludes that the developed model which has oscillatory mode, chaotic regime and destructive changes that can be identified by chronic hepatitis D with intermittent crisis, with severe hepatitis D and liver cirrhosis. The paper provides a new mathematical and computer models which are able to describe hepatitis D regulatory mechanisms and to diagnose the infectious process course and predict the outcome of disease.