Assessment of Gastric Emptying
by 13C-octanoic Acid Breath Test. Mathematical Analysis of Elimination: Moment Method
of Incomplete Gamma Function Estimation
Neumann D., Bukač J.1, Voříšek V.2, Pozler O., Bureš J.3
Dětská klinika, FN Hradec Králové 1Ústav lékařské biofyziky, LF UK Hradec Králové 2Ústav klinické biochemie a diagnostiky, FN Hradec Králové 3II. interní klinika, FN Hradec Králové |
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Summary:
13C-breath tests are modern diagnostic tools for evaluation of dynamic processes in the human body. 13C-octanoic
acid breath tests enable us to examine gastric emptying even in children including neonates, and pregnant
women. The approach to mathematical processing of elimination 13CO2 and calculation of gastric emptying
parameters has not been standardized and is not unequivocal.
The paper presents a review of different methods of gastric emptying evaluation that use breath tests. The
authors mention methodological difficulties, different approaches, and various definitions, that may be found
both in scintigraphy as a referencemethod and in breath tests. The aim is to offer an easy orientation in the topic.
The second part presents description of evaluation of 13CO2 elimination. Parameters of incomplete gamma
function are estimated by the moment method. The theoretical background is the idea, that empirical δ values
are proportional to the density of the distribution. Application of the moment method enables us to avoid
computational pitfalls of a non-linear regression model, especially the question of the existence of minima and
non-availability of initial solution for iterative processes.
Key words:
13C-octanoic acid breath test, gastric emptying, mathematical model.
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