Modeling

For the modeling part we considered the three main parts:

• the virus production
• the infection of a target cell
• the therapy

For the first two models we assumed reactions according to the law of mass action to create a model of ordinary differential equations (ODE).

Model for Virus Production

Reaction Scheme

For the reaction scheme of the virus production we considered three compartments of the cell: the extracellular space (all quantities with the index ext), the cytoplasm (cyt) and the nucleus (nuc). On the outside of the cell there are four principle plasmids - the plasmid coding for the helper proteins (helper), the gene of interest (goi) and two types of plasmids coding for the capsid proteins (capwt [wild type], capmod [modified]).
The plasmids are transported over the cell membrane to the cytoplasm and finally into the nucleus where gene expression is initiated.

Reduced Reaction Scheme

Differential Equations

Model for Virus Infection

Reaction Scheme

Reduced Reaction Scheme

Differential Equations