title: [Mathematical models of dose fractionation based on LQ function. (population-tissue models)].
abstract: A mathematical model was developed to calculate the probability of tumor tissue sterilization. It is assumed that tumor tissue contains normal and radio-resistant tumor cells and the survival of both types of tumor cells can be described by LQ functions. A package of programmes was created to solve the extreme problems in the determination of the parameters of LQ functions and the relative count of radio-resistant cells in the volume of tumor tissue. A programme complex was devised to solve practical tasks in radiological care. The series of tasks, which illustrate various aspects of determination of the parameters of the mathematical model by using clinical data and calculating the probability of tumor tissue radiation sterilization.
authors.forename: L Ia
authors.initials: LIa
authors.lastname: Klepper
mesh_terms: D002294:Carcinoma, Squamous Cell / Q000473:pathology / Q000532:radiotherapy; D019583:Dose Fractionation, Radiation; D006801:Humans; D008962:Models, Theoretical; D011836:Radiation Tolerance; D011879:Radiotherapy Dosage; D012878:Skin Neoplasms / Q000473:pathology / Q000532:radiotherapy; D014407:Tumor Cells, Cultured / Q000166:cytology / Q000528:radiation effects