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)

(Radio)nuclide uptake

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.

The algorithm calculates the uptake of a given radionuclide in an organ. It gives also the time elapsed between calibration/application of the radiopharmaceutical and measure, as well as decay factor. Application (i.e., swallowing of iodine capsule or injection od radiopharmaceutical) should take place immediately after the calibration (measure of the radiopharmaceutical, f.e. iodine capsule).

In order to perform the calculations, one should first choose the nuclide and/or its physical half-time (default for some nuclides), and then write the dates and hours of calibration/application of the radiopharmaceutical and the measure of the patient (year: four-digit format, month, day, hour and minute: two-digit format; default: year and month - current) and the results of measures of the background and the nuclide (or the patient, respectively). In order to repeat the calculations with use of (partially) different data (i.e. the same parameters for another patient or the same patient but another time), you can modify only these data, which have changed, (without the necessity to enter all the remaining ones). Not-entered data will be ignored in the calculations (f.e., it is not necessary to enter the dates). In order to get further information, hover the mouse cursor over the appropriate form field.

Enter the data:

physical half-time of the nuclide:

yearmonthday  hr.min.
. . , :

patient measure:
yearmonthday  hr.min.
. . , :

send data

©Author: Cyprian Świętaszczyk, 2013;