Related Experiment Video
Updated: Apr 25, 2026

Proton Therapy Delivery and Its Clinical Application in Select Solid Tumor Malignancies
Published on: February 6, 2019
Optimal weekly scheduling in fractionated radiotherapy: effect of an upper bound on the dose fraction size
1Dipartimento di Ingegneria Informatica, Automatica e Gestionale "A. Ruberti", Sapienza Università di Roma, Via Ariosto 25, 00185 , Rome, Italy, brunic@diag.uniroma1.it.
Abstract:
This work concerns the optimization of the dose fractionation for cancer radiotherapy schedules of the kind one fraction/day, five fractions/week, assuming a fixed overall treatment time. Constraints are set to limit the radiation damages to surrounding normal tissues, as well as the daily fraction size. The response to radiation of tumour and normal tissues is represented by the classical LQ model, including the exponential repopulation term. We provide a framework to analytically determine the optimal weekly scheme of radiation doses as a function of the tumour type, the fraction upper bound and the normal tissue parameters. For a comparison with the literature, we present some numerical examples of optimal treatment schedules for specific tumour types.
Related Concept Videos
Dose Size and Dosing Frequency: Determination Methods
Dosage Regimens: Partial Pharmacokinetic Parameters
Drug Accumulation During Multiple Dosing: Repetitive IV Injections
Determination of Multiple Dosing Parameters: Steady-State, Minimum and Maximum Concentrations
Renal Failure: Dose Adjustments
Reduced renal clearance and elimination rate are common outcomes of renal impairment. These alterations lead to a prolonged elimination half-life and an altered apparent volume of distribution for drugs. As a result, dosage adjustments are typically necessary to maintain optimal drug levels in the body.
However, dosage adjustments...
Dosage Regimen: Fixed Dose
Fixed-dose regimens can be used for various routes of administration, including intravenous (IV) injections and oral medications. For IV administration, a predetermined amount of the drug is...

