CALCULATING THE DECAY OF GLUCOSE TRACER BY CELLS USING STOCHASTIC MODEL

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ROUDBARI M.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

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Journal: DANESHVAR MEDICINE Year:2003 | Volume:10 | Issue:45 Page(s): 41-48

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Information Journal Paper

Title

CALCULATING THE DECAY OF GLUCOSE TRACER BY CELLS USING STOCHASTIC MODEL

Author(s)

ROUDBARI M. | Issue Writer Certificate

Keywords

STOCHASTIC MODELQ4

BLOOD PLASMAQ4

UNCERTAINTYQ3

DIFFERENTIAL EQUATIONSQ4

CONCENTRATIONQ3

PARAMETERS ESTIMATIONQ4

Abstract

The paper presents an overview of the concept and application of different compartmental models to describe the decay of an injected glucose tracer in the BLOOD PLASMA of a group of female subjects. The data acquired as part of a study at St. Thomas' Hospital, London. The subjects are in their post-partum period and some of whom had suffered from gestational diabetes during their pregnancy. A known mass of glucose and glucose tracer were injected intravenously into each subject and blood samples were taken at various times. To obtain a STOCHASTIC MODEL of the decay of plasma glucose tracer CONCENTRATION, a two-compartmental, system war considered, BLOOD PLASMA and intravascular tissues respectively, and two DIFFERENTIAL EQUATIONS were used to build the model. In STOCHASTIC MODEL building, Soong's approach was applied. In this approach it is assumed that the stochasticity incorporated into the four compartmental parameters (two fluxes between compartments, a loss from the second compartment and the initial CONCENTRATION of glucose tracer in the first compartment). Therefore, the compartmental parameters describing the flow of glucose tracer vary randomly from the BLOOD PLASMA into the muscle tissue. The four parameters of the model were estimated by using blood sample data for each subject. The variability in the set of glucose tracer curves was assumed to be due to the variability of the parameters and each parameter was assumed to have a multivariate lognormal frequency distribution. The mean and S. E. of the plasma glucose CONCENTRATION Way calculated by using a 4 dimensional integration at times between 0 and 180 minutes to build the STOCHASTIC MODEL. A comparison was made between the stochastic and deterministic models for the mean and S. E. of the CONCENTRATION of glucose tracer. A small difference between the means and a large difference between the S. E. were found. Also the STOCHASTIC MODEL for the mean fits the data better than the deterministic-model. Furthermore, the differences between the stochastic and deterministic models for S. E.s were large.

Cites

THE STOCHASTIC MODEL FOR THE GLUCOSE CONCENTRATION IN PLASMA - THE MODEL PARAMETERS VARY WITH TIME AND INDIVIDUALS

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APA: Copy

ROUDBARI, M.. (2003). CALCULATING THE DECAY OF GLUCOSE TRACER BY CELLS USING STOCHASTIC MODEL. DANESHVAR MEDICINE, 10(45), 41-48. SID. https://sid.ir/paper/30652/en

Vancouver: Copy

ROUDBARI M.. CALCULATING THE DECAY OF GLUCOSE TRACER BY CELLS USING STOCHASTIC MODEL. DANESHVAR MEDICINE[Internet]. 2003;10(45):41-48. Available from: https://sid.ir/paper/30652/en

IEEE: Copy

M. ROUDBARI, “CALCULATING THE DECAY OF GLUCOSE TRACER BY CELLS USING STOCHASTIC MODEL,” DANESHVAR MEDICINE, vol. 10, no. 45, pp. 41–48, 2003, [Online]. Available: https://sid.ir/paper/30652/en

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