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Nuclear Medicine

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
Polynomials
Time difference
Estimation of some human biometric parameters
Concentration conversion
Pharmacokinetic compartment models

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)

Simplified calculation of the dose of iodine-131 for treatment of benign thyroid disorders

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 dose of 131I is calculated by a simplified formula: (400 * volumen [ml]) / uptake [%]. This method is only acceptable, when precise dosimetric data (multiple radioiodine-uptake measurements) lack.

Thyroid volume [ml]:
Iodine-131 uptake [%]:


mCiMBq
137
274
3111
4148
5185
6222
7259
8296
9333
10370
mCiMBq
11407
12444
13481
14518
15555
16592
17629
18666
19703
20740
mCiMBq
21777
22814
23851
24888
25925
26962
27999
281036
291073
301110
mCiMBq
311147
321184
331221
341258
351295
361332
371369
381406
391443
401480
mCiMBq
411517
421554
431591
441628
451665
461702
471739
481776
491813
501850
mCiMBq
511887
521924
531961
541998
552035
562072
572109
582146
592183
602220
mCiMBq
612257
622294
632331
642368
652405
662442
672479
682516
692553
702590

©Author: Cyprian Świętaszczyk, 2013; last update: 07.2020