# Calculator

(formerly accessible on: www.nuk.bieganski.org)

### 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)

## Conversion of mass of a radioactive substance into its activity and vice versa

Here, you can convert quantity of radioactive substance: given in activity (A) units into mass (m) units and vice versa. Dependent on the question, you should enter the following data:

- activity of the radioactive source (A) and select its unit,

- physical half-time (T_{1/2}) and select the time unit,

- molecular mass (M) in atomic mass units [u] (or daltons [Da]) or mass number (A) / atomic mass of the isotope (if pure nuclide) or molecular mass (if chemical compound),

- mass of the substance and select the mass unit. It is also possible to specify the mass in moles.

You can complete only one side of the form (either A → m or m → A); just ignore the second one.

Assumption: there is one taging (radioactive) atom per one molecule the mass of which is given.