Mathematical modelling and numerical solutions of chemical reactions and diffusion of carcinogenic compounds

in vitro incubation of carcinogenic compounds with cells. In vitro reactions and diffusion take place when the carcinogenic substrate is added to cells in culture. Only one cell and its appropriate quota of the medium is needed for the math-ematical model, and indeed only a 22:5o sector of a cell is modelled. FEMLAB is the software used for the simulation. The graphical representation of the problem and its simulation is made possible by applying the mathematical technique of ho-mogenisation in the multi-compartment cytoplasm. All constants and parameters used in the simulation were the same used for the in vitro experiments. The model, and consequently the programme, can be adapted to various physical and chemical scenarios. The concentration of the carcinogenic substrate in the extracellular solution is computed, and its half-life is compared to the in vitro results. Both results are found to be the same. The model can be used for the prediction of the experimental inaccessible con-centration profile in the nucleus. Matematisk modellering och numerisk lösning a