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[Usefulness of radioisotope (RI) deconvolution analysis with Tc-99m-DTPA in transplanted kidney].

In 50 renal transplant recipients, we performed radioisotope (RI) deconvolution analysis, as reported by O'Reilly, in 179 renograms from dynamic renal scanning with Tc-99m-DTPA and obtained MTT (mean transit time) and H0 (initial height) values. We found characteristic features of various graft conditions using the combination of MTT and H0. The mean H0 value was greater in normally functioning grafted kidneys than in kidneys with other states. The mean MTT in the normal group was about 2 min. In the acute rejection group, the mean H0 value was lower and the mean MTT was more prolonged compared with the normal group. In ATN group, the mean MTT was similar to that in the acute rejection group, whereas the mean H0 value was lower. In the chronic rejection group, the mean MTT was similar to that in the normal group, but the mean H0 value showed a lower one. The hydronephrosis group had an extremely prolonged MTT. This study indicated that the combination of H0 and MTT obtained from RI deconvolution analysis is a valuable means of understanding the condition of renal grafts.

Graft Rejection↗

[An experimental study of liver perfusion using non-diffusible radiotracers: differentiation of the arterial and portal venous components by deconvolution analysis of first-pass time-activity curves].

The transfer function of the liver perfusion is an idealized time-activity curve that could be registered over the liver if a non-diffusible tracer would be injected directly into the abdominal aorta and no tracer recirculation would occur. The reproducibility of the transfer function was experimentally investigated in foxhounds. Both the routes of tracer application and the modes of data evaluation were varied and the perfusion was investigated under physiological and pathological conditions. The transfer function was calculated by deconvolution analysis of first-pass time-activity curves using the matrix regularization method. The transfer function showed clearly distinguishable arterial and portal-venous components. Repeated peripheral venous and central aortic applications resulted in reproducible curves. In addition to the arterial and portal-venous components the subcomponents of the portal-venous component could also be identified in the transfer function after ligation of the appropriate vessels. The accuracy of the mathematical procedure was tested by computer simulations. The simulation studies demonstrated also that the matrix regularization technique is suitable for deconvolution analysis of time-activity curves even when they are significantly contaminated by statistical noise. Calculation of the transfer function of liver perfusion and of its quantitative parameters seems thus to be a reliable method for non-invasive investigation of liver hemodynamics under physiological and pathological conditions.

Animals↗

Hepatocyte versus biliary disease: a distinction by deconvolutional analysis of technetium-99m IDA time-activity curves.

A combination of quantitative hepatobiliary imaging techniques was developed to study normal control subjects and patients with 3 categories of hepatobiliary disease: 1) alcoholic cirrhosis; 2) sclerosing cholangitis; and 3) isolated common bile duct obstruction. Scintigraphic images were supplemented by quantitative measurement of hepatic extraction fraction by deconvolutional analysis and liver excretion T 1/2 by a nonlinear least squares method. In diseases confined primarily to the biliary tract (isolated common bile duct obstruction and sclerosing cholangitis), the mean hepatic extraction fraction as measured by deconvolutional analysis was not different from that in normal controls. In severe alcoholic cirrhosis, considered primarily a hepatocyte disease, the hepatic extraction fraction was markedly reduced. The T 1/2 excretion, compared to normal subjects, was prolonged in all three liver disease categories. We conclude that these quantitative parameters were able to detect hepatobiliary disease and to separate severe hepatocyte disease from biliary tract disease.

Biliary Tract Diseases↗

Biokinetics of bone tracers by means of deconvolution analysis--comparison of 99mTc MDP, 99mTc DPD and 99mTc EHDP.

Transfer functions of 99mTc methylene diphosphonate (MDP), 99mTc 2,3-dicarboxypropane-1,1-diphosphonate (DPD) and 99mTc ethane-1-hydroxy-1,1-diphosphonate (EHDP) into bone and extravascular fluid of soft tissues were determined in 5 dogs by deconvolution analysis of the time-course of plasma, soft tissue and bone radioactivity. The transfer rates 5 min after injection--indicating the rapid exchange of the tracer between plasma and the extravascular fluid--decrease in the order MDP greater than EHDP greater than DPD (P less than 0.05). The transfer rates into bone--determined from transfer rates between 30 and 60 min--decreased in a different order, i.e. MDP greater than DPD greater than EHDP (P less than 0.05). The fractional bone uptake of diphosphonates estimated from the ratio of early to late transfer rates was slightly greater for DPD than for MDP and EHDP respectively. The difference between DPD and MDP was not significant (P greater than 0.05). The average bone and soft tissue concentrations of DPD 60 min after injection were greater than that of MDP and EHDP due to different plasma concentrations (DPD greater than EHDP greater than MDP), whereas the bone-to-soft tissue ratios decreased in the sequence MDP greater than DPD greater than EHDP (P less than 0.05).--Our results reveal different biokinetics of MDP, DPD and EHDP explaining variations in osseous and soft tissue uptake suggesting that deconvolution analysis could play an important role in bone scan interpretation.

Animals↗

Z-transform method for deconvolution as applied to the renogram.

A method of deconvolution analysis involving the use of the z-transform has been developed. When compared to the matrix method, it is shown, under certain circumstances, to be identical. In order to study the validity of the method, simple mathematical models have been constructed. The curves obtained with the computed method closely fitted those obtained by mathematical analysis. The z-transform algorithm was applied to clinical data in order to demonstrate its validity for the deconvolution of renograms. The advantages of the method over the matrix method are discussed.

Humans↗

MAG3 renogram deconvolution in kidney transplantation: utility of the measurement of initial tracer uptake.

UNLABELLED: The study of renal retention function by deconvolution analysis of renographic curves is useful to calculate quantitative parameters in renal studies. The aim of the work is to evaluate the usefulness of 99mTc-MAG3 renogram deconvolution in renal function monitoring of kidney graft recipients. METHODS: Forty-three kidney grafts and 112 renograms were studied: 41 were diagnosed as functioning graft, 35 as acute tubular necrosis, 24 as acute rejection, 8 as obstruction and 4 as cyclosporin toxicity. The parameters calculated were mean transit time (MTT), time at 20% of renal retention function (T20) and initial uptake (IU). RESULTS: MTT and T20 were significantly longer in obstructives than in functioning grafts (p < 0.001). Initial uptake was significantly lower in acute tubular necrosis (ATN) and acute rejection (p < 0.001) and in obstructives (p < 0.05) than in functioning grafts. The joint evaluation of MTT and IU allowed to diagnose cases with graft function severely impaired. CONCLUSION: Initial uptake is useful in evaluating post-transplantation complications and in combination with MTT and T20 reflects renal dysfunction severity.

Adult↗

DeMonS--a new deconvolution method for estimating drug absorbed at different time intervals and/or drug disposition model parameters using a monotonic cubic spline.

DeMonS-a new numerical deconvolution method for estimating the amount of drug absorbed at different time intervals and/or drug disposition model parameters-is presented here. In DeMonS, the amount of drug absorbed at different time intervals and/or drug disposition model parameters are the unknown parameters to be calculated. The Fritsch-Butland non-decreasing cubic spline was constructed from the cumulative amount of drug absorbed-time data directly derived from the calculated amount of drug absorbed at different time intervals. The drug absorption rate, which is the derivative of this non-decreasing cubic spline, is therefore represented by a piecewise non-negative quadratic function. The drug concentrations were obtained by convoluting the drug absorption rate quadratic function with the drug disposition model function. The nonlinear optimization method with simple parameter bounds was used to estimate the optimal set of unknown parameters by minimizing the sum of squares of residuals between the observed and predicted drug concentrations. DeMonS has been applied to (i) the griseofulvin data for estimating drug absorbed at different time intervals when the drug disposition model parameters were determined separately from intravenous data, (ii) veralipride double-peak phenomenon data to estimate simultaneously the percentage of cumulative veralipride absorbed and the veralipride disposition model parameters without reference intravenous data, (iii) a comparative bioequivalence study of gastrointestinal therapeutic system (GITS) pseudoephedrine HCI (PeHCI) controlled-release oral dosage forms when the drug disposition model parameters were not available, and (iv) estimation of both drug disposition model parameters and the absorption rate of drug from Testoderm (testosterone transdermal system) in the presence of endogenous testosterone production. DeMonS was implemented using MATLAB and NAG MATLAB Toolbox, and is available for Windows 3.1.

Absorption↗

Stability of finite difference deconvolution I: theoretical analysis.

Analysis of the stability of finite difference deconvolution (FDD) shows that it is dependent on the characteristics of the unit impulse response function and the sampling schedule of the input response function, and that stability properties are improved when the cumulative amount function is directly estimated rather than the rate function. The estimated input rate for an intravenous (iv) unit impulse response function and the release rate for an oral solution unit impulse response function are unstable for any sampling schedule of the input response function. However, for an iv unit impulse response function, the estimated cumulative amount absorbed is stable for any sampling schedule of the response function. For an oral unit impulse response function, the estimated cumulative amount released is unstable for all the sampling points of the input response function located before the time of the maximum of the oral unit impulse response function, but it can be made stable if an appropriately designed sampling schedule of the input response function is used. In addition, the theoretical basis for choosing a sampling schedule to overcome the instability of FDD has been established.

Algorithms↗

Stability of finite difference deconvolution II: simulation studies.

Theoretical analysis of the stability of finite difference deconvolution (FDD) indicates that if the cumulative amount function is used to characterize the drug input the method is stable for any sampling schedule for an intravenous unit impulse response function. The analysis also indicates that the method is stable for an oral unit impulse response only for well designed sampling schedules. This article confirms these results through numerical simulation experiments. It is shown that the assumption that the unit impulse response is error-free has an influence on the performance of FDD which is generally of no practical significance, except possibly for the first few points estimated. It is also shown that there is no significant interaction between the statistical error due to data noise and the deterministic algorithm error. The major source of error in practice is likely to be the data noise in the input response function. The simulations confirm that, with the estimated cumulative amount function as the quantity estimated and, with a well designed sampling schedule for the case of an oral unit impulse response, FDD is in practice an accurate and stable method with acceptable precision under a typical error disturbance.

Algorithms↗

Assessment of regional cerebral blood flow by dynamic susceptibility contrast MRI using different deconvolution techniques.

Regional cerebral blood flow (rCBF) was assessed using dynamic susceptibility-contrast MRI at 1.5 T. A simultaneous dual FLASH pulse sequence and Gd-DTPA-BMA (0.3 mmol/kg b.w.) were used for examination of 43 volunteers, measuring rCBF in frontal white matter (WM) and in gray matter in the thalamus (GM). Arterial input functions (AIFs) were registered 1) in the carotid artery and 2) in an artery within the GM/WM slice. The measured concentration-vs. -time curve was deconvolved with the AIF using both Fourier Transform (FT) and Singular Value Decomposition (SVD). Relative rCBF was given by the height of the deconvolved response curve. For each volunteer, eight different rCBF maps were calculated, representing different combinations of deconvolution techniques, AIFs, and filters. The average GM-WM rCBF ratios ranged from 2.0-2.2, depending on methodology. Absolute rCBF was 68 +/- 28 ml/(min 100 g) in GM and 35 +/- 13 ml/(min 100g) in WM (mean +/- SD, n = 39). GM-WM rCBF ratios obtained using SVD were 6-10% higher than corresponding ratios obtained using FT.

Adult↗

High resolution, fluorescence deconvolution microscopy and tagging with the autofluorescent tracers CFP, GFP, and YFP to study the structural composition of gap junctions in living cells.

High-resolution, fluorescence deconvolution (DV) microscopy was implemented to obtain a detailed view of the organization and structural composition of gap junctions assembled from one or two different connexin isotypes in live and fixed cells. To visualize gap junctions, the structural protein components of gap junction channels, the connexin polypeptides alpha1(Cx43), beta1(Cx32), and beta2(Cx26), were tagged on their C-termini with the autofluorescent tracers green fluorescent protein (GFP), and its cyan (CFP), and yellow (YFP) color variants. Tagged connexins were expressed in transiently transfected HeLa cells. Comprehensive analysis including dye-transfer analysis demonstrated that the tagged connexins trafficked, assembled, and packed normally into functional gap junction channel plaques. Such gap junction plaques were examined by single, dual, and triple-color DV microscopy. High-resolution images and three-dimensional volume reconstructions of gap junction plaques were obtained by this technique, which revealed several new aspects of gap junction structure. Specifically, the studies demonstrated that the mode of channel distribution strictly depends on the connexin isotypes. Here we present such images, and volume reconstructions in context with images obtained by other light, and electron microscopic techniques, such as laser scanning confocal, conventional wide-field fluorescence, thin section, and freeze-fracture electron microscopy. In addition, we give a simple description of the principal mechanisms of DV microscopy, name advantages and disadvantages, and discuss issues such as dual-color imaging using CFP and YFP, spatial resolution, colocalization, and avoiding imaging artifacts.

Connexin 26↗

Dynamic deconvolution of a pre-equilibrated dynamic combinatorial library of acetylcholinesterase inhibitors.

A dynamic combinatorial library composed of interconverting acylhydrazones has been generated and screened towards inhibition of acetylcholinesterase from the electric ray Torpedo marmorata. Starting from a small set (13) of initial hydrazide and aldehyde building blocks, a library containing possibly 66 different species was obtained in a single operation. Of all possible acylhydrazones formed, active compounds containing two terminal cationic recognition groups separated by an appropriate distance, permitting two-site binding, could be rapidly identified by using a dynamic deconvolution--screening procedure, based on the sequential removal of starting building blocks. A very potent bis-pyridinium inhibitor (K(i)=1.09 nM, alphaK(i)=2.80 nM) was selected from the process and the contribution of various structural features to inhibitory potency was evaluated.

Acetylcholinesterase↗

Drug absorption evaluation in the presence of changes in clearance: an algorithm and computer program for deconvolution with exact clearance correction.

Most commonly drug absorption is evaluated with a reference dosing given on separate occasions. The assumption that no change in drug disposition is taking place between the drug administrations is often violated resulting in errors in the calculations. A novel deconvolution method is presented which exactly compensates for a change in drug clearance. The method is based on a model independent disposition decomposition-recomposition technique. The distribution function is obtained from an i.v. administration by disposition decomposition. This distribution function is assembled together with the elimination kinetics containing the perturbed clearance to construct the perturbed disposition function in the subsequent disposition recomposition operation. The perturbed absorption response is finally deconvolved using the corresponding perturbed disposition function. It is shown that the perturbed clearance can be obtained from the log-linear terminal disposition phase once the distribution function has been obtained from an i.v. administration. The proposed method is implemented in an algorithm and computer program DCONB and demonstrated using human cimetidine drug level data from an i.v. and oral administration. The usage of DCONB is identical to DECONV previously published. It requires only regular sums of exponentials to be fitted to drug level data. Such fittings are routinely done in pharmacokinetics thereby enabling DCONB to be implemented very simply.

Algorithms↗

Determination of drug absorption rate in time-variant disposition by direct deconvolution using beta clearance correction and end-constrained non-parametric regression.

A novel numerical deconvolution method is presented that enables the estimation of drug absorption rates under time-variant disposition conditions. The method involves two components. (1) A disposition decomposition-recomposition (DDR) enabling exact changes in the unit impulse response (UIR) to be constructed based on centrally based clearance changes iteratively determined. (2) A non-parametric, end-constrained cubic spline (ECS) input response function estimated by cross-validation. The proposed DDR-ECS method compensates for disposition changes between the test and the reference administrations by using a "beta" clearance correction based on DDR analysis. The representation of the input response by the ECS method takes into consideration the complex absorption process and also ensures physiologically realistic approximations of the response. The stability of the new method to noisy data was evaluated by comprehensive simulations that considered different UIRs, various input functions, clearance changes and a novel scaling of the input function that includes the "flip-flop" absorption phenomena. The simulated input response was also analysed by two other methods and all three methods were compared for their relative performances. The DDR-ECS method provides better estimation of the input profile under significant clearance changes but tends to overestimate the input when there were only small changes in the clearance.

Absorption↗

Identification of novel polyphenol oxidase inhibitors by enzymatic one-pot synthesis and deconvolution of combinatorial libraries.

The feasibility of enzymatic synthesis of combinatorial libraries using multifunctional starting materials [i.e., 2,4-dihydroxy-N-(2-hydroxyethyl)benzamide, 1; 4-hydroxyphenethyl alcohol, 2; 3,5-dihydroxybenzyl alcohol, 3; and 4-hydroxybenzyl alcohol, 4] with six vinyl esters, in a one-pot reaction, was investigated. Candida antarctica lipase was employed as a biocatalyst. The resulting 24-compound library contained all the expected species with no significant bias toward particular combinations of substrates. As expected, the library contained a substance(s) that showed significant inhibition of polyphenol oxidase, which was used as a model target. The deconvolution was accomplished via resynthesis of ten partial libraries, which were prepared with either an equimolar mixture of the four alcohols and a single vinyl ester, or a single alcohol and equimolar mixture of the activated esters. Analysis of the inhibition pattern observed with these partial libraries suggested that 4-hydroxybenzyl benzoate (4e) should be the most potent inhibitor. This conclusion was confirmed by the preparation and comparison of all 24 components of the initial library. Finally, it was shown that 4e was a competitive inhibitor of polyphenol oxidase, with a K(i) of 40 microM. This value compared favorably with a K(i) of 400 microM, which was determined for parent phenol 4.

Catalysis↗

Cell population dynamics model for deconvolution of murine embryonic stem cell self-renewal and differentiation responses to cytokines and extracellular matrix.

Stem cell self-renewal versus differentiation fate decisions are difficult to characterize and analyze due to multiple competing rate processes occurring simultaneously among heterogeneous cell subpopulations. To address this challenge, we describe a mathematical model for cell population dynamics that allows flow cytometry measurement of population distributions of molecular markers to be deconvoluted in terms of subpopulation-specific rate parameters distinguishing commitment to differentiation, proliferation of differentiated cells, and proliferation of undifferentiated cells (i.e., self-renewal). We validate this model-based parameter determination by means of dedicated, independent cell-tracking studies. Our approach facilitates interpretation of relationships underlying effects of external cues on cell responses in differentiating cultures via intracellular signals.

Animals↗

Spectral deconvolution of chemical mixtures by covariance NMR.

A method is presented for the deconvolution of the NMR spectrum of a chemical mixture without requiring physical separation of its components. The method, which is termed "Demix", is based on a principal component analysis of a series of one-dimensional (1D) spectra that are statistically modulated during preparation and TOCSY mixing periods. The largest principal components correspond to the 1D NMR spectra of the scalar J-coupled spin networks of the individual components of the mixture. The method is demonstrated for aqueous mixtures of the amino acids Glu, Leu, Lys, and Val.

Amino Acids↗

Automated deconvolution and deisotoping of electrospray mass spectra.

Electrospray ionization (ESI) of peptides and proteins produces a series of multiply charged ions with a mass/charge (m/z) ratio between 500 and 2000. The resulting mass spectra are crowded by these multiple charge values for each molecular mass and an isotopic cluster for each nominal m/z value. Here, we report a new algorithm simultaneously to deconvolute and deisotope ESI mass spectra from complex peptide samples based on their mass-dependent isotopic mean pattern. All signals corresponding to one peptide in the sample were reduced to one singly charged monoisotopic peak, thereby significantly reducing the number of signals, increasing the signal intensity and improving the signal-to-noise ratio. The mass list produced could be used directly for database searching. The developed algorithm also simplified interpretation of fragment ion spectra of multiply charged parent ions.

Algorithms↗