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BED Calculator (Biological Effective Dose)DS-GPA Score (Diagnosis-Specific GPA)EQD2 Calculator (Equivalent Dose in 2Gy)GPA Score (Graded Prognostic Assessment)Iso-effective Dose ConverterNSD Calculator (Ellis Formula)RPA Grading for Brain MetastasesRadiation Necrosis MRI IndexSRS Dose Selection (RTOG)TDF Factor (Time-Dose-Fractionation)
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Radiation Oncology

NSD Calculator (Ellis Formula)

Radiobiology History: NSD (Ellis Formula)

Historical Parameters

*T includes weekends and holidays from day 1 to last day.

Historical Archive

Analyze treatment plans using the first mathematical model of dose-time-fractionation in oncology history.

Guidelines & Evidence

Verified

Last Review: 2026

Radiobiology History

The Ellis Formula

Proposed by Frank Ellis in 1969, the NSD was the first widely adopted mathematical model to account for the three primary variables in radiotherapy: Total Dose, Number of Fractions, and Overall Treatment Time. It was based on observations of skin reaction tolerance and was the precursor to all modern radiobiological modeling.

The NSD Equation

$$NSD = rac{D}{N^{0.24} imes T^{0.11}}$$ Where: D = Total Dose (rads/cGy), N = number of fractions, T = overall treatment time in days.

Ret Unit

The resulting unit of NSD is the ret (Rad Equivalent Therapy). An NSD of 1800 rets was considered the tolerance limit for normal connective tissue.

Related Scores in Practice

In clinical practice, this assessment is frequently evaluated alongside other validated measures. Depending on the patient's presentation and specific diagnostic requirements, you may also need to utilize the Tdf Factor Calculator, Bed Calculation or the Eqd2 Dose Calculator to formulate a comprehensive care plan.

Last Comprehensive Review: 2026

Related Radiation Oncology Tools

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Iso-effective Dose Converter
EQD2 Calculator
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NSD Calculator
RPA Grading for Brain Metastases
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