Nuclear Medicine


(formerly accessible on:

General math & medicine options

Arithmetic mean and standard deviation
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

Calculations related to nuclear physics

Examples of application of the programs below are accessible here.
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)

Calculations related to nuclear medicine

Instruction for the programs below is accessible here.
(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 JavaScript is necessary; in Polish).
(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)

Dosimetry of α- and β-radiation

This option has been developed mainly for the nuclear medicine doctors. Calculations play a very important role in the nuclear medicine therapy, however, the decision about the radiopharmaceutical apllied and its dose must be made by the Doctor taking care of the Patient. The Doctor makes the decision not only based on mathematical calculations, but also on his own knowledge and experience, and takes also the full responsibility.

Here, you can calculate the dosis of short-range radiation (mainly α and β), delivered to the tissue, which takes up a radionuclide. The calculations approach to the true situation according as the target tissue diameter exceeds the radiation range and the radionuclide is distributed in the tissue homogenously.

You must enter the following data (and choose the appropriate units):
- T(1/2)ef - effective half-time of the nuclide in the target tissue; the time cannot be longer than the physical half-time (T(1/2)phys), and is typically shorter, because, except for physical decay, also chemically/pharmacologically related biological elimination takes place; units: optionally from seconds to years;
- E - decay energy; you should write the mean (pro one disintegration) energy given by the atom by means of radiation of short range (i.e. α- and β-radiation, not γ); you should remember that the mean β-particle energy equals about 1/3 of the maximal energy (end-point energy); in a case of a non-uniform radiation spectrum, you should write the "weighted mean" of the energy; units: optionally from eV till MeV;
- m - target mass [grams];
- A0 - activity of the nuclide at the beginning; units: optionally from Bq till GBq;
- U - uptake [%] of the nuclide in the target tissue (default: 100);
- Cf - correction factor for the number of decays ("cumulated activity"; default: 1)

Enter the data
Patient ID
m [g]
U [%]

©Author: Cyprian Świętaszczyk, 2013;