Nuclear Medicine

Regression of points to straight line, correlation coefficient

Finding of natural divisors

The highest common divisor

Quadratic equation

Time difference

Estimation of some human biometric parameters

Concentration conversion

Simple radioactive decay (1 radioactive nuclide: A → B)

Successive radioactive decay (2 radioactive nuclides: A → B → C)

Successive radioactive decay (3 radioactive nuclides: A → B → C → D)

Conversion of activity units (traditional into SI-derived and vice versa)

Conversion of mass into activity and vice versa (mass-units into activity-units and vice versa)

(1.) Calculation of thyroid volumen on the basis of the lobes diameters

(2.) Calculation of (radio)nuclide uptake (f.e. uptake of radioiodine in the thyroid)

(2a.) Calculation of uptake of I-131 in the thyroid (This program can be saved as a file and launched in another PC, a browser with HTML and

(3.) Calculation of radioiodine dose (simplified)

(4.) Kinetic modeling I. (effective half-time, maximal uptake and others, based on a series of measures) - for radionuclide therapy

(5.) Kinetic modeling II. (effective half-time, maximal uptake and others, based on three measures) - for radionuclide therapy

(6.) Calculation of dose of radioiodine or another radionuclide for treatment (modified Marinelli-formula)

(7.) Dosimetry of α- and β-radiation

(8.) Dose rate and absorbed dose of γ radiation (in a distance from a point source)

The algorithm calculates the dosis of (mainly) iodine-131 for therapy of benign thyroid disorders. A modified variant of the Marinelli-formula is used. With its use, it is possible to calculate the doses of other nuclides for other therapies - in such a case, another decay energy will be taken into account in the form (kinetic energy of corpuscular radiation with short range in tissue, as α, β, conversion electrons, fission fragments and so on, but not γ- or X-radiation).

The modified formula of Marinelli:

A = | 23.28 • m • D | • | ( | 193 | ) | • | ( | 1 | ) |

| |||||||||

U • T_{(1/2)ef} | E | C_{f} |

A - radionuclide activity [MBq]

m - target mass [g]

D - focal radiation dose [Gy], which should be reached in the above mass

U - radionuclide uptake [%]

T

C

E - mean energy of the corpuscular radiation (i.e. α, β, conversion electrons) per one decay [keV] - specify only when the nuclide different from

Values typical for benign thyroid disorders: | ||

Recommended radiation doses: - Graves-Basedow disease (attempt of optimization): 100-150 Gy - Graves-Basedow disease (ablation): 200-300 Gy - UFA: 350-400 Gy - MFA: 150-200 Gy - disseminated autonomy (ablation): 200 Gy - non-toxic goiter: 100-150 Gy Effective (mean) half-time: UFA and Gr.-Bas. disease (hyperthyreose): 4.2 days UFA (euthyreose), MFA / diss. aut. (hyperthyreose): 4.8 days MFA / diss. aut. (euthyreose): 5.5 days | ||

Patient ID | ||

Target mass | [g] | |

Radionuclide uptake | [%] | |

Focal radiation dose | [Gy] | |

T_{(1/2)ef.} | [d] | |

Therapy nuclide | ||

Mean particle energy | [keV] | |

Correction factor | ||

Calculate the nuclide dose |

©Author: Cyprian Świętaszczyk, 2013;