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Hematopoietic stem cell based therapy of immunosuppressive viral infection — Numerical simulations

Korpusik A.

Biocybernetics and Biomedical Engineering

2014

Vol. 34, no. 2

125--131

In the light of recent advantages in stem cell research and gene based therapies of viral infections, we present a numerical experiment referring to hematopoietic stem cell based therapy of immunosuppressive viral infection. We use a variation of basic mathematical model for impairment of help to simulate immune impairing infection. Next, we increase virus-specific CTL production (as in therapy) in different stages of infection. Obtained results are analyzed and compared with results from recent in vivo experiment.

Numerical modelling of the competition between the adaptive immune system and virus

Kolev M.

Control and Cybernetics

2011

Vol. 40, no 3

763-778

We present and analyze numerically a mathematical model of interactions between adaptive immune system and viral infection. The model is a bilinear system of partial integro-differential equations of Boltzmann type. It is a generalization of the recently proposed kinetic models that consider particular (namely, the cellmediated and the humoral) immune mechanisms used in the fight against viral infections. We use Matlab to solve complicated system of equations, present the results of computer simulations and explain their immunological meaning. The results show that the model can describe in a better way (in comparison with the previous kinetic models) real biological situations and is able to illustrate various methods of therapy.