Important quality of binary mixtures of drugs is the synergism - the combined action is greater than the sum of individual effects. The non-linearity of the dose-response relationship gives the opportunity to formulate optimization and computing tasks on the identified model of experimental data. Analytical solutions for optimization of drug combinations with a maximum synergy (minimal combination index), with minimal cost or constant amount of components while maintaining the therapeutic effect are proposed. The optimization of the drug combinations allows decreasing the doses of individual drugs, thereby lowering the cost of treatment and reducing the side effects. Numerical algorithms to calculate important parameters of binary mixtures, such as individual dose reduction index for each compound, total dose reduction index and dose ratio are realized. The approach is implemented in the computer program KORELIA-Ident.
Keywords: isobolographic analysis, combined drug effects, synergism, dose-time response, modelling.