Model for Virus Infection

As in the previous model for the virus production we established a ODE model based on the law of mass action. The following paragraph explains the reaction scheme and our model assumptions. In the subsequent paragraphs the system of differential equations is specified and the implementation in MathWorks® MATLAB is discussed.
The last section deals with our modeling results.

Reaction Scheme

Reduced Reaction Scheme

Differential Equations

Methods and Simulation

The ODE model was implemented in MathWorks® MATLAB R2010b. Integration of the differential equations was achieved using the stiff integrator ode15s with automatic integration step size management.
To calibrate the dynamics of the mathematical model to those of biological system we used time lapse data of fluorescence experiments as well as published values for the rate constants.

The parameters used are given in the table below. Also you can download the MATLAB source code.

get the .m-File (MATLAB source code)

Results and Discussion