Title :
Mathematical modelling of the interactions between antibodies and virus
Author :
Kolev, Mikhail K.
Author_Institution :
Dept. of Math. & Comput. Sci., Univ. of Warmia & Mazury, Olsztyn
Abstract :
A mathematical model describing the interactions between viral infection and humoral immune system is proposed. The model is formulated in terms of a system of partial integro-differential bilinear equations. The roles of the antibodies and the cytopathicity of the virus are investigated.
Keywords :
integro-differential equations; mathematical analysis; medical computing; partial differential equations; user interfaces; humoral immune system; mathematical modelling; partial integrodifferential bilinear equations; Biological system modeling; Cancer; Immune system; Integrodifferential equations; Kinetic theory; Mathematical model; Mathematics; Microorganisms; Pathogens; Viruses (medical); AB - antibodies; AbsTol - absolute tolerance; CTL - cytotoxic T lymphocytes; LCMV - lymphocytic choriomeningitis virus; ODE - ordinary differential equations; RelTol - relative tolerance; antibodies; cytopathic virus; humoral immunity; integro-differential equations; kinetic models;
Conference_Titel :
Human System Interactions, 2008 Conference on
Conference_Location :
Krakow
Print_ISBN :
978-1-4244-1542-7
Electronic_ISBN :
978-1-4244-1543-4
DOI :
10.1109/HSI.2008.4581465
