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PubMed1989

Lung structure parameters estimated from modeling aerosol deposition in isolated dog lungs.

A three-compartment model predicting the recovery of aerosol boli (i.e., the ratio of the number of particles expired to the number inspired) as a function of breath-holding time and bolus penetration was fitted to experimental data measured in nine isolated dog lungs. For each lung, the diameters of alveoli and alveolar ducts, as well as the volume fractions of alveoli, alveolar ducts, and airways, were determined as parameters providing the best fit. Parameter values were alveolar diameter = 0.116 +/- 0.007 (SE) mm, alveolar duct diameter = 0.284 +/- 0.015 mm, total alveolar volume/total lung capacity (TLC) = 0.68 +/- 0.02, total alveolar duct volume/TLC = 0.24 +/- 0.02, and total airway volume/TLC = 0.09 +/- 0.01. These values agreed with published values for linear dimensions and volumetric fractions in the canine lung. The mean alveolar diameter determined by the model in the nine lungs agreed closely with a mean value of 0.115 +/- 0.002 mm determined by morphometric analysis of photographs of the subpleural alveoli in the same lungs. The procedure of fitting the model to experimental data appears to have promise as a noninvasive probe of the lung periphery. However, aerosol-derived dimensions were more variable than morphometric ones, possibly because of interlung differences in aerosol distribution not accounted for in the model.

Aerosols↗
PubMed1987

Parameter estimation of respiratory impedance measured by forced complex-wave oscillations.

Respiratory impedance data measured using the forced oscillation method were analyzed using an equivalent circuit model and the following conclusions were obtained: 1) Use of the complex wave oscillation method provided a measurement range of over 9 cmH2O/1/s with a resolution of 0.13 cmH2O/1/s. 2) The respiratory system was expressed as a two-compartment model. By expressing the circuit characteristics as phasor loci, a method was shown whereby individual impedance parameter values could be derived from the measured impedance phasor loci. 3) Under enflurane anesthesia, the model parameter values were derived as R1 = 1.2, R2 = 1.6 cmH2O/1/s, C1 = 0.02, C2 = 0.041/cmH2O and L = 0.065 cmH2O/1/s2.

Adult↗
PubMed1995

Parameter estimation of cardiac geometry by ECG-gated PET imaging: validation using magnetic resonance imaging and echocardiography.

UNLABELLED: The purpose of this study was to apply and validate a previously developed model-based image analysis technique which derives estimates of regional myocardial wall thickness and the left ventricular radius directly from gated cardiac PET images. METHODS: In 11 normal volunteers, gated myocardial 18F-deoxyglucose (FDG) images with 16 equal gates spanning the entire cardiac cycle were acquired for 20 min. To improve count statistics and thus image quality, 3 and 5 of 16 gates were summed to obtain systolic and diastolic images. Based on a five-parameter model, radial profiles from systolic and diastolic PET images were fit by nonlinear regression for myocardial wall thickness, left ventricular radius and tracer activities in the blood pool, the myocardial tissue and the extracardiac background. Echocardiography and gated magnetic resonance imaging (MRI) were performed in 11 and 7 volunteers, respectively. RESULTS: We observed a significant (p < 0.001) correlation between measurements obtained by gated PET imaging and the correlative imaging modalities for myocardial wall thickness and left ventricular radius. While good agreement was observed between measurements of average radial shortening, estimates of average wall thickening differed significantly. CONCLUSION: This model-based analysis offers accurate estimates of regional recovery coefficients directly from gated cardiac PET images and may also prove useful for the assessment of myocardial contractile function. These recovery coefficients are essential for the correction of partial volume effects when quantitative PET studies are performed.

Deoxyglucose↗
PubMed2006

Global dynamic optimization for parameter estimation in chemical kinetics.

We present the first method guaranteed to find the best possible least-squares (chi2) fit of experimental data by a nonlinear kinetic model. Several important advantages of knowing with certainty the best possible fit rather than a locally optimum fit are discussed and demonstrated using data from the recent literature. This is particularly important when the model and the data appear to be inconsistent. With the new method, one can rigorously demonstrate that a nonlinear kinetic model with several adjustable rate parameters is inconsistent with measured experimental data. The numerical method presented is a valuable tool in evaluating the validity of a complex kinetics model.

Journal Article↗
PubMed2002

Nitrate-enhanced bioremediation of BTEX-contaminated groundwater: parameter estimation from natural-gradient tracer experiments.

Two natural-gradient pulse tracer tests were conducted in a petroleum-contaminated aquifer to evaluate the potential for benzene, toluene, ethylbenzene, and xylenes (BTEX) biodegradation under enhanced nitrate-reducing conditions. Addition of nitrate resulted in loss of toluene, ethylbenzene, and m,p-xylenes (TEX) after an initial lag period of approximately 9 days. Losses of benzene were not observed over the 60-day monitoring period. Tracer breakthrough curves (BTCs) were analyzed to derive transport and biodegradation parameters, including advective velocities, retardation factors, dispersion coefficients, biodegradation rate constants, and nitrate utilization ratios. Using the parameters derived from the BTC analysis, numerical simulations of one of the tracer experiments were conducted using BIONAPL/3D [Molson, J., BIONAPL/3D User Guide, A 3D Coupled Flow and Multi-Component Reactive transport model. University of Waterloo, Waterloo, Ontario, Canada]. Simulations using the BTC-derived transport and biodegradation parameters successfully reproduced benzene, TEX, and nitrate concentrations measured during the tracer experiment. Comparisons of observed and simulated nitrate concentrations indicate that the mass ratio of nitrate-N utilized to TEX degraded increased over time during the experiment, reaching values many times that expected based on stoichiometry of TEX oxidation coupled to nitrate reduction. Excess nitrate loss is likely due to oxidation of other organics in addition to TEX.

Bacteria, Anaerobic↗
PubMed1989

Minimisation of parameter estimation errors in dynamic PET: choice of scanning schedules.

We addressed the general problem of finding an optimal scan schedule in positron emission tomography (PET) dynamic studies which minimises the errors in estimating the transfer constants between a set of compartments. As an example, the influence of scan intervals in PET on the accuracy of estimation of the rate constants and vascular component in the deoxyglucose method was examined using an empirical noise model. The simulated noisy curves used in the analysis were compared with patient data to validate the noise model. A series of scan schedules were compared for accuracy of fit by evaluating the determinant of the variance-covariance matrix of the fitted parameters as an index of parameter accuracy. For realistic noise levels there is a monotonic improvement in the index of parameter accuracy with increasing sampling frequency, particularly over the initial minutes after the tracer injection. However, since faster schedules are more susceptible to errors introduced by time mismatches between plasma and tissue curves and impose greater computational and memory overhead, an initial scan duration of 30 s provide a practical trade-off for dynamic PET 18F-fluoro-deoxyglucose studies.

Models, Biological↗
PubMed1978

Progress curve analysis in enzyme kinetics: model discrimination and parameter estimation.

The method of progress curve analysis for enzyme-catalyzed reactions (Duggleby, R.G. and Morrison, J.F. (1977) Biochim. Biophys. acta 481, 297--312) has been extended to a two substrate, reversible reaction through the use of enzyme-catalyzed recycling of one of the products. The reaction investigated was that catalyzed by aspartate aminotransferase (L-aspartate:2-oxoglutarate aminotransferase, EC 2.6.1.1) and the product, alpha-ketoglutarate was recycled to glutamate using NADH and NH4Cl in the presence of glutamate dehydrogenase. The values determined for the kinetic parameters of the aminotransferase were found to agree well with those obtained from steady-state velocity measurements. The standard errors of the parameters, as calculated by the procedure originally described, were found to underestimate the observed variation between different experiments. Therefore, a procedure of data compression was devised which leads to more realistic values for standard errors. The compressed data obtained with aspartate aminotransferase have been fitted to the integrated rate equations that describe a variety of kinetic mechanisms. The best fit was obtained with the Ping-Pong model which is applicable to the aspartate aminotransferase reaction. Thus, progress curve analysis may be used to determine the kinetic mechanism of, and values of the kinetic parameters associated with, an enyzme-catalyzed reaction.

Aspartate Aminotransferases↗
PubMed2002

Monitoring and kinetic parameter estimation for the binding process of berberine hydrochloride to bovine serum albumin with piezoelectric quartz crystal impedance analysis.

A new method for monitoring, in real time, the drug-binding process to protein with piezoelectric quartz crystal impedance (PQCI) is proposed. The method was used to monitor the binding process of berberine hydrochloride to bovine serum albumin (BSA). BSA was immobilized on the silver electrode surface of a piezoelectric quartz crystal and the optimized experimental conditions were established. The BSA-coated piezoelectric sensor was in contact with berberine solution. The time courses of the resonant frequency and equivalent circuit parameters of the sensor during the protein-drug binding were simultaneously obtained. On the basis of the analysis of the multidimensional information provided by PQCI, it was concluded that the observed frequency decrease was mainly ascribed to the mass increase of the sensor surface resulting from the binding. According to the frequency decrease with time, the kinetics of the binding process were quantitatively studied. A piezoelectric response model for the binding was theoretically derived. Fitting the experimental data to the model, the kinetic parameters, such as the binding and dissociation rate constants (k(1) and k(-1)) and the binding equilibrium constant (K(a)), were determined. The k(1), k(-1), and K(a) values obtained at 25 degrees C were 67.5 (+/-0.1) (mol liter(-1))(-1) s(-1), 1.7 (+/- 0.1) x 10(-3) s(-1), and 3.97 (+/- 0.06) x10(4) (mol liter(-1))(-1), respectively.

Animals↗
PubMed2002

An eigenvector method for estimating item parameters of the dichotomous and polytomous Rasch models.

The purpose of this paper is to describe a technique for obtaining item parameters of the Rasch model, a technique in which the item parameters are extracted from the eigenvector of a matrix derived from comparisons between pairs of items. The technique can be applied to both dichotomous and polytomous data. In application to a previously published data set, it is shown that the technique provides item parameter estimates comparable to those produced by joint maximum likelihood estimation, and for the most difficult items, the technique appears to produce superior estimates. This method has several advantages. It easily accommodates missing data, and makes transparent the basis for item parameter estimation in the presence of missing data. Furthermore, the method provides a link to other methods in the social sciences and, in particular, provides the framework for application of graph theory to the analysis of assessment networks. Finally, it exploits several characteristics that are unique to the Rasch model.

Algorithms↗
PubMed2001

Interactions between prostate volume, filling cystometric estimated parameters, and data from pressure-flow studies in 565 men with lower urinary tract symptoms suggestive of benign prostatic hyperplasia.

The aim of this study was to establish the characteristics and to investigate the interactions between prostate volume, degree of obstruction, bladder contractility, the prevalence of residual volume, bladder compliance, bladder capacities, and the prevalence of instability in a large, well-defined group of men with lower urinary tract symptoms (LUTS) suggestive of benign prostatic hyperplasia (BPH). The 565 consecutive men included in this study met the criteria of the International Consensus Committee on BPH and voided more than 150 mL during uroflowmetry. Their residual urine volume and prostate size were estimated, and filling cystometry and pressure-flow studies were performed. Fifty-three percent of the men appeared to have obstruction. We found a positive correlation between prostate volume and Schäfer's obstruction grade, except that mean prostate volume decreased at Schäfer's grades 5 and 6. Significant negative correlations existed between Schäfer's grade and cystometric bladder capacity and effective capacity. Bladder outlet obstruction results in incomplete emptying. Of all men, 26% had a significant residual volume ( > 20% of cystometric capacity). Thirty-nine percent did not have residual volume. Of the 565 men, 46% had an unstable bladder. In particular, patients with an unstable bladder in the sitting and lying positions have a significantly higher Schäfer's grade and contractility grade and a significantly lower cystometric and effective bladder capacity compared with patients without instability. Patients with a residual volume or instability were significantly older. We conclude that in men with LUTS suggestive of BPH, abnormalities of bladder and bladder outlet function vary greatly and have complex mutual interactions.

Aged↗
PubMed1996

Genetic parameter estimates of live animal ultrasonic measures of retail yield indicators in yearling breeding cattle.

Ultrasonic measures of backfat thickness (BFT) and longissimus muscle area (LMA) taken on Angus bulls (n = 805) and heifers (n = 877) ranging in age from approximately 8 to 20 mo in a production setting in western Nebraska were used to estimate genetic (co)variances. Further information used in the analyses, including weaning weight (WWT), postweaning ADG, and scrotal circumference (SC), was obtained from the American Angus Association, St. Joseph, MO, for these individuals and for animals from the same herd and contemporary groups. Data were analyzed using single-trait, sire model, restricted maximum likelihood (REML) procedures to estimate starting variances for later two-trait analyses. These two-trait analyses were done to estimate variance components for WWT coupled with BFT, LMA, SC, and ADG, also using REML procedures, but with a sire-maternal grandsire model for WWT and a sire model for the other trait(s). Heritabilities for BFT, LMA, WWT direct, WWT maternal, SC, and ADG were .56, .11, .19, .24, .56, and .51, respectively. Genetic correlations between WWT direct and WWT maternal, WWT direct and LMA, WWT maternal and LMA, WWT maternal and BFT were -.57, .42, .01, and -.69, respectively. Genetic parameters from this study were used to calculate possible genetic change with a typical selection scenario, and it was shown that among WWT, BFT, and LMA, BFT could be affected the most by selection, relative to its mean.

Adipose Tissue↗
PubMed1998

The pharmacokinetics of clomipramine and desmethylclomipramine in dogs: parameter estimates following a single oral dose and 28 consecutive daily oral doses of clomipramine.

Clomipramine is a tricyclic antidepressant that has been recommended for the treatment of canine compulsive disorder. The pharmacokinetics of clomipramine in dogs have not been reported. This study describes the pharmacokinetics of clomipramine and its active metabolite, desmethylclomipramine, in six male dogs. Serial blood samples were collected following both a single oral dose of clomipramine (3 mg/kg) and 28 consecutive daily oral doses (3 mg/kg q 24 h). In addition, 'peak' and 'trough' samples were taken throughout the 28-day dosing period. Plasma was assayed for total (free and protein-bound) clomipramine and desmethylclomipramine, using gas-chromatography with mass spectrometric detection. Various pharmacokinetic parameters were then determined. Following a single dose of clomipramine, time of maximum plasma concentration (tmax) of clomipramine was 0.75-3.1 h, maximum plasma concentration (Cmax) was 16-310 ng/mL and elimination half-life (t1/2el) was 1.2-16 h; tmax of desmethylclomipramine was 1.4-8.8 h, Cmax was 21-134 ng/ mL and t1/2el was 1.2-2.3 h. Following multiple dosing, there was a numeric increase in these parameters; tmax of clomipramine was 3-8 h, Cmax was 43-222 ng/mL and t1/2el was 1.2-16 h; tmax of desmethylclomipramine was 1.4-8.8 h, Cmax was 21-134 ng/mL and t1/2el was 1.2-2.3 h. Clinically significant differences between dogs and humans in the pharmacokinetics of oral clomipramine are discussed.

Administration, Oral↗
PubMed1995

Errors in ECG parameter estimation from standard leadsets.

With the availability of low-cost, high-speed computers with (relatively) vast amounts of storage has come something of an explosion in the application of "quantitative electrocardiography." A search of the Medline medical reference database on the subject string "quantitative AND electrocardiography" reveals no less than 509 citations, suggesting that the term has gained widespread acceptance. However, while quantitative techniques are, in general, to be welcomed to clinical medicine and research, their use as a diagnostic or patient monitoring tool begs a careful examination of just what is being counted and how it is being linked to physiology. In this study, the authors focus on the use of standard electrocardiographic lead systems as the basis for quantitative patient evaluation and attempt to highlight some limitations in the ability to extract meaningful parameters with such a limited sampling of human thoracic electrical activity.

Angioplasty, Balloon, Coronary↗
PubMed1990

Milk yield increase after anthelmintic treatment of dairy cattle related to some parameters estimating helminth infection.

On 81 farms blood samples were taken from adult dairy cattle, on pasture in October 1986 and after stabling in December 1986, to measure antibody titres against the nematodes Dictyocaulus viviparus, Cooperia spp. and Ostertagia spp., and the trematode Fasciola hepatica, and serum pepsinogen values. Faecal samples, collected in October, were examined to confirm the presence of parasites by means of egg counts and larval identifications. From December until the end of the stabling period, dry cows were either treated with albendazole or left untreated in alternate sequence of calving date. Treated cows produced 132.9 kg milk per cow per lactation more than untreated cows (P less than 0.01). Fat and protein percentage were not significantly influenced by anthelmintic treatment. The mean herd milk yield response to treatment varied from -889 to +1231 kg milk per cow per lactation. There was a significant between-herd variation in antibody titres against nematodes and in pepsinogen values. However no significant correlations between these parameters and the mean herd milk yield response to treatment were found.

Albendazole↗
PubMed1999

Parameter estimation from Rician-distributed data sets using a maximum likelihood estimator: application to T1 and perfusion measurements.

General expressions are presented to calculate the maximum likelihood (ML) estimator and corresponding Fisher matrix for Rician-distributed data sets. This estimator results in the most precise, unbiased estimations of T1 from magnitude data sets, even when low signal-to-noise ratios (<6) are present. By optimizing the sample point distributions for inversion-recovery experiments, a 32% increase in precision of the estimated T1 is obtained, compared with a linear sampling scheme. Perfusion rates are estimated from combined data sets of the slice- and nonslice-selective inversion-recovery experiments, as obtained with the flow-sensitive alternating inversion recovery (FAIR) technique. The ML estimator for the combined data set results in the most precise, unbiased estimations of the perfusion rate. Error analysis shows that very high signal-to-noise ratios are required for precise estimation of perfusion rates from FAIR experiments.

Animals↗
PubMedDate not supplied

Comparison of nonlinear pharmacokinetic parameters estimated from the sinusoidal perfusion and venous equilibrium models.

It is shown that the intrinsic and steady-state clearances and the values of Vm and Km of the Michaelis-Menten equation estimated via the sinusoidal perfusion model are different from the corresponding values estimated via the venous equilibration model. The liver blood flow rates estimated by two theories (from plasma data) are identical. The comparison was made using the single dose oral and intravenous and steady-state oral plasma concentration-time data for verapamil in six subjects previously published.

Coronary Disease↗
PubMed2006

Parameter estimation and goodness-of-fit in log binomial regression.

An estimate of the risk, adjusted for confounders, can be obtained from a fitted logistic regression model, but it substantially over-estimates when the outcome is not rare. The log binomial model, binomial errors and log link, is increasingly being used for this purpose. However this model's performance, goodness of fit tests and case-wise diagnostics have not been studied. Extensive simulations are used to compare the performance of the log binomial, a logistic regression based method proposed by Schouten et al. (1993) and a Poisson regression approach proposed by Zou (2004) and Carter, Lipsitz, and Tilley (2005). Log binomial regression resulted in "failure" rates (non-convergence, out-of-bounds predicted probabilities) as high as 59%. Estimates by the method of Schouten et al. (1993) produced fitted log binomial probabilities greater than unity in up to 19% of samples to which a log binomial model had been successfully fit and in up to 78% of samples when the log binomial model fit failed. Similar percentages were observed for the Poisson regression approach. Coefficient and standard error estimates from the three models were similar. Rejection rates for goodness of fit tests for log binomial fit were around 5%. Power of goodness of fit tests was modest when an incorrect logistic regression model was fit. Examples demonstrate the use of the methods. Uncritical use of the log binomial regression model is not recommended.

Algorithms↗