# 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)

## Kinetic modeling of a radiotracer in an organ II.

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.
Calculation of kinetic parameters of a radiotracer, whose activity in a target organ follows the equation:

U_{t} = F (2^{-t/T(1/2)ef} - 2^{-t/T(1/2)a}) |

U_{t} - radiotracer uptake in the organ in time *t*

T_{(1/2)ef} - effective half-time

T_{(1/2)a} - half-time of the influx of the radiotracer into the organ

F - proportionality factor### Step one

Enter the measure values (times and uptakes) and the range, in which the function is to be examined: