Modelling and simulation of chemotherapy of haematological and gynaecological cancers

Author to whom reprint requests should be addressed In this paper elaborate mathematical models and investigativecomputer simulations for the chemotherapy of haematologicaland gynaecological cancers are presented. The pharmacodynamicsof the actions of the antineoplastic drugs are described bymulticompartmental models with the associated model equationstaking into account the drug dosage, type of delivery, routeof delivery, the intercompartmental drug-transition constants,degradation parameters, and leakage coefficients. The cell-cyclephase-specific six-compartmental cytokinetic tumour growth modelpresented here incorporates the cellcycle phase residence time,time lags associated with drug-induced cell-kill, or progressiondelays due to repair of cell damage. Investigative computersimulations are performed depicting the effects of cell-cyclephase-specific antineoplastic drugs on haematological and gynaecologicalcancer cells. The computer simulations are performed under variousclinically plausible parametric configurations to elucidatethe effects of certain critical variables such as tumour cellburden, mode of antineoplastic drug delivery, tumour cell lossand cell-cycle cytokinetic parameters.