We have previously reported the existence of a conserved quantity in a basic mathematical model of viral infection, and confirmed it in cell culture. For simplicity, the basic model is described by sets of ordinary differential equations. Here, we constructed a mathematical model of viral infection explicitly considering the periodical removal of cells and virus for experimental sampling. Besides, we derived a conservation law for this model. Using time-course experimental datasets of viral infection, we investigated whether this law holds which is derived by the punctual model in cell culture.
|Number of pages||9|
|Journal||Japan Journal of Industrial and Applied Mathematics|
|Publication status||Published - Nov 1 2015|
All Science Journal Classification (ASJC) codes
- Applied Mathematics