Mathematical modelling in nuclear medicine

Kuikka, Jyrki T.; Bassingthwaighte, James B.; Henrich, Michael; Feinendegen, L. E.

doi:10.1007/bf02285464

Cited by 43 publications

(33 citation statements)

References 47 publications

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“…It is virtually impossible to reach uniqueness in biological modelling, because one can almost always find an alternative or more detailed model as a result of the presence of noise or inexactness of fit (Kuikka et al 1991). In this study, although five models were entertained to simulate the kinetics of functional and collection-injured platelets, we showed that the increase in detail or complexity of the last two models did not give substantial additional information.…”

Section: Discussionmentioning

confidence: 88%

“…Graphs were, however, highly regarded throughout the fitting and optimisation procedure (Box and Hunter 1965). The computer program Simulation, Analysis and Modelling (SAAM) was used in this study (Kuikka et al 1991;Foster and Boston 1983). The parameters calculated during compartmental modelling are expressed as a mean and range (given in parentheses).…”

Section: Methodsmentioning

confidence: 99%

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Blood platelet kinetics in normal subjects modelled by compartmental analysis

Sweetlove

Roodt

et al. 1992

Eur J Nucl Med

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The purpose of this study was to describe the function of platelets throughout their life span by expressing their in vivo distribution and kinetic behaviour in mathematical terms by using multicompartmental analysis. The distribution of indium-111 labelled platelets in five normal subjects was imaged and quantified with a scintillation camera image processing system. Serial blood samples were also obtained. The data were modelled using the SAAM (Simulation Analysis and Modelling) compartmental computer program. Five models were entertained to evaluate the role of platelets that were either functional or injured during collection and their interaction with the liver, spleen and vascular endothelium. Models were evaluated by comparing F values calculated from the least squares estimate obtained from each model. The Dornhorst function was used to describe the sequestration of platelets in the compartmental model. Results indicated that the data could not be satisfactorily simulated when compartments were included that simulated only functional and sequestered platelets (model 1). It was necessary to include compartments that simulated the kinetics of collection-injured platelets in the liver (model 2) and spleen (model 3). The model that simulated the interaction with the vascular endothelium (model 5) showed a visual but not significant improvement in the fitting of the observed data compared to model 3. The mean organ uptake and range indicated in parentheses were calculated at equilibrium. There were 20% (15%-27%) of the injected platelets in the spleen, 10% (8%-11%) in the liver and 70% (64%-75%) in the circulation.(ABSTRACT TRUNCATED AT 250 WORDS)

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Section: Discussionmentioning

confidence: 88%

Section: Methodsmentioning

confidence: 99%

Blood platelet kinetics in normal subjects modelled by compartmental analysis

Sweetlove

Roodt

et al. 1992

Eur J Nucl Med

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“…The area under the retention fase of the curve is proportional to the medium transit time. As considered for other organs (kidney and thyroid) it is assumed that the ratio between the initial height of the retention phase and the high of the vascular peak represents the (hepatic) extraction fraction at the first pass -HEF [11][12][13] .…”

Section: -Graphic Representation Of Function H (T)mentioning

confidence: 99%

A new method for quantification of hepatobiliary scintigraphy using 99mTc—mebrofenin. A comparative study

Lima

Lima²,

Isidoro

et al. 2003

Revista Española de Medicina Nuclear

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Summary.-A method based upon the application of mathematical techniques of deconvolution on the classical compartmental model for the quantitative study of liver function from hepatobiliary scintigraphy using 99m Tc-mebrofenin data is proposed. The theory in which the method is based upon is presented and a comparison with a published methodology of obtaining the hepatic extraction after scintigraphic sudies has been performed using the results on 36 rats studies obtained with the two methods. A highly significant correlation between the two techniques was verified. The characterisitics of the two methodologies, the proposed one based upon a theoretical approach and the other one on an empirical approximation are discussed. Comments are made on the interest and limitations of the presented technique that may be an useful tool for the evaluation of hepatic insufficiency. Resumen.-Se propone un método basado en la aplicación de técnicas matemáticas de deconvolución sobre el modelo compartimental clásico para el estudio cuantitativo de la función hepática con datos de gammagrafía hepatobiliar con 99mTc-mebrofenina. Se presenta la teoría sobre la cual se basa el método y se hace una comparación con una metodología publicada para la obtención de la extracción hepática después de hacer estudios grammagráficos utilizando los resultados de 36 estudios en ratas, obtenidos con los dos métodos. Se comprobó una correlación altamente significativa entre las dos técnicas. Se discuten las características de las dos metodologías, la propuesta basada en un enfoque teórico y la otra en un enfoque empírico. Se comenta el interés y limitaciones de la técnica presentada que puede ser una herramienta útil para la evaluación de la insuficiencia hepática. PALABRAS CLAVES: Gammagrafía hepatobiliar. Análisis de deconvolución. Función hepática. INTRODUCTIONStudies of liver function based on scintigraphic data using compartmental modelling have been tried by several groups [1][2][3][4][5] . Results from these classical models are usually presented as rate constants for the hepatic extraction from the plasma and, in the case of hepatobiliary scintigraphy, also for the hepatic excretion. Other measured parameters are the disappearance half-life (T 1/2 ) and mean of the residence time for the radio-pharmaceutical molecules. The method proposed is based upon the application of mathematical techniques of deconvolution over the classical compartmental model. The quantification of parameters with physiologic meaning, in hepatobiliary scintigraphy may be obtained by using 99m Tc-mebrofenin. After a venous puncture this agent (or any of the last generation 99m Tc-IDA derivatives) is transported in blood mainly loosely bound to albumin. In the space of Disse, 99m Tc-mebrofenin is taken up by the hepatocyte and excreted into the intestine through the bile, without modifications 6 . This radio-pharmaceutical has high specificity for hepatocyte uptake (98 %), rapid blood clearance, fast intra-hepatic transit and no enteric absorption. Sixty minutes aft...

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“…[45][46]47 By writing out ( ) = in ( ) * ℎ ( ), (9) becomes NOT THE PUBLISHED VERSION; this is the author's final, peer-reviewed (12) where the flow-weighted impulse residue function ( ) represents ( ) that would be measured if the inlet concentration curve were an impulse. The complete distribution of capillary transit times ℎ ( ) can then be determined using numerical deconvolution [44].…”

mentioning

confidence: 99%

Lung Circulation Modeling: Status and Prospect

Clough

Audi²,

Molthen³

et al. 2006

Proc. IEEE

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Mathematical modeling has been used to interpret anatomical and physiological data obtained from metabolic and hemodynamic studies aimed at investigating structure-function relationships in the vasculature of the lung, and how these relationships are affected by lung injury and disease. The indicator dilution method was used to study the activity of redox processes within the lung. A steadystate model of the data was constructed and used to show that pulmonary endothelial cells may play an important role in reducing redox active compounds and that those reduction rates can be altered with oxidative stress induced by exposure to high oxygen environments. In addition, a morphometric model NOT THE PUBLISHED VERSION; this is the author's final, peer-reviewed manuscript. The published version may be accessed by following the link in the citation at the bottom of the page. 2 of the pulmonary vasculature was described and used to detect, describe,and predict changes in vascular morphology that occur in response to chronic exposure to low-oxygen environments, a common model of pulmonary hypertension. Finally, the model was used to construct simulated circulatory networks designed to aid in evaluation of competing hypotheses regarding the relative contribution of various morphological and biomechanical changes observed with hypoxia. These examples illustrate the role of mathematical modeling in the integration of the emerging metabolic, hemodynamic, and morphometric databases. Proceedings of the IEEE,

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Mathematical modelling in nuclear medicine

Cited by 43 publications

References 47 publications

Blood platelet kinetics in normal subjects modelled by compartmental analysis

Blood platelet kinetics in normal subjects modelled by compartmental analysis

A new method for quantification of hepatobiliary scintigraphy using 99mTc—mebrofenin. A comparative study

Lung Circulation Modeling: Status and Prospect

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