Search PubMedSearch

SEARCH · Search PubMed

Results for “Programming, Linear”

Search indexed PubMed citations on genomics, clinical trials, systematic reviews and public health. Explore titles, authors and supplied subject terms, then open the PubMed record.

Quote a phrase for an exact phrase match. Source license links do not imply unrestricted reuse.

At least 217 records · Page 12Linked to original sources

Symbolic programs for structural identification of linear pharmacokinetic systems.

Most parameter estimation techniques implicitly assume that it is possible to determine the parameters of the system uniquely if there were no noise in the output. In practice, this is not always the case. Whether or not this assumption is true for a given input-output experiment is the problem of structural identification. Two programs utilizing symbolic matrix calculus are presented which aid in solving this problem for linear systems. Pharmacokinetic examples are given.

Computers

A computer program for the analysis of structural identifiability and equivalence of linear compartmental models.

A FORTRAN program based on the sufficient and necessary algebraic condition for structural identifiability is presented. In the case of an unidentifiable model the program generates all identifiable submodels that are structurally equivalent to the original model in the given input--output experiment. The parametrization vector of the model may include first-order and zero-order transport rate coefficients, unknown distribution volumes and initial conditions, as well as unknown elements of input and output matrices. Any a priori constraint imposed upon the parameters may be taken into account. An attempt is made to reduce input data requirements preserving generality of the program.

Computers

Practical aspects on the estimation of the parameters in Coale's model for marital fertility.

This paper demonstrates the estimation of the parameters in the Coale model for marital fertility by the maximum likelihood method, under the assumption of a simple Poisson process model. The necessary calculations are easily performed in the statistical computer program package GLIM, and the necessary commands are noted. Without access to GLIM, or any equivalent, it is still possible to fit the model approximately by the use of any weighted linear regression program. In both cases, goodness of fit tests are available.

Adult

The exponential-Gompertzian tumor growth model: data from six tumor cell lines in vitro and in vivo. Estimate of the transition point from exponential to Gompertzian growth and potential clinical implications.

The published growth data were examined for six tumor cell lines (FSA, Line 1, MCA-11, EMT6/RO, MGH-U1, MLS) grown in vivo and in vitro as monolayer cultures and as multicell spheroids cultured under different experimental conditions. Serial estimates of tumor sizes were fitted by Gompertzian equations obtained with a non-linear computerized program. When the growth equations of the same tumor growing in different experimental conditions were compared, the Gompertzian parameters alpha 0 (initial specific growth rate) and beta (retardation factor) showed a strong linear correlation in all the examined lines, with no exception. This occurrence supports the exponential-Gompertzian growth model, where an early exponential phase (which is virtually not influenced by exogenous factors) is followed by a Gompertzian phase, the characteristics of which are greatly dependent on environmental conditions. The transition between the two phases was estimated to occur when tumor size reached 10(2)-10(4) cells, depending on the cell line. This kinetic change in tumor growth may be clinically relevant as regards cytotoxic treatments. It could explain some consequences of delays in adjuvant (postoperative) chemotherapy observed in clinical trials on primary breast cancer.

Animals

A methodology for speciation of methyltins in mammalian tissues.

Exposure to methyltin compounds results in morphologically detectable damage to several mammalian organ systems. Although reliable dose-response relationships have been described, a fast method for quantitating levels of various methyltin species in target organs has been unavailable. It has been possible to measure organotins as total tin using atomic absorption spectrometry, but speciation of methyltins has proved difficult. We present a rapid method for quantitative analysis and speciation of methyltins, direct from mammalian tissues. Methyltin compounds (monomethyltin trichloride, dimethyltin dichloride, trimethyltin chloride, and tetramethyltin) are purged from freshly homogenized mouse kidney and brain tissues using NaBH4. The volatile organotin hydrides produced are cryogenically trapped on the head of a gas chromatographic column (at -40 degrees C) and eluted using a linear temperature program (15 degrees C/min to 190 degrees C). The compounds are detected using selected ion monitoring in a Hewlett Packard 5985-B mass spectrometer. Quantitation is achieved by integration of the areas of the chromatographic peaks. Linear response is obtained over the range of 1 ng to 30 micrograms for each compound. Recoveries of methyltins spiked into tissues are greater than 85%.

Animals

Use of linear models to analyze physicians' decisions.

Linear models of judgment are powerful tools for studying medical decision making. The recent increase in applications of these models to medicine reflects more available computing resources and the parallel development of clinical prediction rules derived from multivariate analysis of patient data. Psychological research into expert and novice decision making shows that linear models derived from judges' decisions usually predict future decisions more accurately than either the judge or a mechanical application of the judge's stated policies. Studies of medical decision making have shown similar results, as well as marked variation among experts in how they appear to use clinical information. Cognitive feedback, which is feedback to the learner of the judgment model derived from previous decisions, is highly effective for teaching complex judgment tasks. Many technical problems remain to be mastered in constructing linear models of medical judgment. These include how to select the correct variables, how to provide a selection of variables broad enough to accommodate individual variations in strategy, how to model intercorrelated variables, and how to characterize and aggregate individual strategies. Despite the methodologic challenges, linear models remain a powerful method for studying how physicians combine multiple items of imperfect information to make a judgment. These techniques may provide important insights into variation in physician judgments. In addition, they hold promise in teaching the appropriate integration of complex data in the day-to-day practice of medicine.

Cues

Comparison of methods of carbamazepine dosage, individualization in epileptic patients.

The aim of the present work was to analyse the predictive capacity of different optimization methods for carbamazepine dosage regimens according to population pharmacokinetic parameters and/or serum levels data. Calculations were performed using a multiple non-linear regression program (MULTI 2 BAYES) with two different options: (a) using the ordinary least squares methods and (b) the least squares method based on the Bayesian algorithm. The predictive capacity of the three methods was analysed comparing the serum levels values in patients predicted by each method and those observed later. The performance obtained was poor and even unacceptable when dosage prediction was based on the mean parameters of the population studied (Method A) and when only one data point relating to the serum carbamazepine levels was available (Method B). When two serum levels data were used the standard deviation of the mean prediction error was only clinically acceptable when Bayesian non-linear regression was applied (Method C). When the number of serum levels data points was 3 or 4 the errors were acceptable from a clinical point of view and no significant differences could be found between the use of the simple and Bayesian version at the same level of information.

Adolescent

Ceforanide pharmacokinetics in haemodialysis: the effect of ultrafiltration.

The kinetics of ceforanide in plasma and dialysate was studied in 8 patients with terminal renal impairment after undergoing haemodialysis sessions lasting between 4 and 5 h. All patients received a single i.v. dose of 15 mg kg-1 of the drug at the start of the session. The dialysers used in this study were Spiraflow capillar 1.3 m2, Travenol plates 1.4 m2, and PAN plates. Blood flow ranged between 200 and 300 ml min-1 and dialysate flow between 500-650 ml min-1. Plasma ceforanide levels were measured at the input and output of the dialyser and the antibiotic levels in dialysate were determined coinciding with the withdrawal times of the blood samples. A microbiologic plate diffusion method was used to determine the antibiotic concentrations. The mean values of some pharmacokinetic parameters of ceforanide calculated with a non-linear regression program from the data obtained from arterial blood were the following: alpha (h-1) = 4.14 +/- 1.32; beta (h-1) = 0.26 +/- 0.07; t1/2 beta (h) = 2.82 +/- 0.82; Vdss (1) = 10.24 +/- 2.14. From the relationships between the antibiotic concentrations at the input and output of the dialyser it was possible to calculate an extraction coefficient of 0.11 +/- 0.06. The dialysis clearance of ceforanide was calculated from the determination of the extraction coefficient and from the measuring of antibiotic in dialysate, though different results were obtained with the two methods. Dialysis clearance calculated from the extraction coefficient showed a mean value of 18.68 +/- 12.16 ml min-1, significantly lower (p less than 0.01) than that established by analysis of the antibiotic in dialysate, which was 41.55 +/- 15.83 ml min-1. These differences may be attributed to problems related to the determination of blood flow and to the ultrafiltration capacity of the dialysis membranes. A linear relationship was established between the percentage error in the observed and predicted extraction coefficients and the ultrafiltration rate. The results obtained suggest that the simultaneous measurement of the antibiotic in plasma and dialysate is the most suitable method for predicting the dialysis clearance of the drug. The amount of antibiotic extracted over a 4-hour dialysis session proved to be equal to 57.85 +/- 15.62 per cent of the dose administered.

Adult

Pharmacokinetics of ibuprofen enantiomers in dogs.

Inversion of inactive (R)-ibuprofen to active (S)-ibuprofen has been suggested to occur presystemically only. In order to investigate the site of inversion in dogs we administered both enantiomers either intravenously or intraduodenally (10 mg/kg) to adult, male beagle dogs (n = 3) in a crossover design. Plasma, urine, and bile were collected for up to 6 h and analyzed stereospecifically by HPLC, according to a previously published method. Pharmacokinetic parameters were calculated using a linear computer program. Absorption after intraduodenal administration occurred rapidly, resulting in maximum plasma concentrations 0.2 h after giving the enantiomer. Approximately 70% of the (R)-enantiomer (according to AUC) was inverted to the S-enantiomer independent of route of administration. No R-ibuprofen could be detected in plasma after (S)-ibuprofen administration. Mean residence time was found to be 2 to 3 times longer for (S)- than for (R)-ibuprofen. Total systemic clearance from plasma was twice as high for (R)- than for (S)-ibuprofen. There were no differences between plasma clearances after intravenous and intraduodenal administration. Between 8 and 17% of dose was recovered in bile [especially as free and conjugated (S)-ibuprofen] and 3-12% in urine [as (S)-ibuprofen, hydroxy- and carboxyibuprofen, free and conjugated forms]. Small amounts of (R)-ibuprofen were detected in bile after intraduodenal administration of (R)-ibuprofen only (1.8% of dose). In short, the unidirectional inversion of R-ibuprofen appears to occur systemically rather than presystemically in dogs.

Animals

Novel deconvolution method for linear pharmacokinetic systems with polyexponential impulse response.

A novel least-squares deconvolution method for estimating the rate and the extent of drug input into the systemic circulation is presented. The method is based on a polyexponential approximation of the impulse response and a polynomial approximation of the input rate. The method, which is readily implemented on a computer using any multiple linear regression program with a zero-intercept option, is compared to two other deconvolution methods using simulated data with various degrees of random noise added. It appears to have several significant advantages. The method is applied to plasma pentobarbital level data from oral and intravenous administration. The assumptions and limitations of deconvolution methods for analyzing drug input into the blood are discussed.

Absorption

Estimation of temporal effects in treatment-induced second cancer.

Cancer chemotherapy has been remarkably successful in the treatment of several types of malignancies, but has also been demonstrated to cause leukaemia and perhaps other cancer in long-term survivors. Radiotherapy also carries a carcinogenic risk. A large case-control study of second cancer has been carried out, with the aim of quantifying the risk due to chemotherapy and radiotherapy. One of the most important goals of this study is the estimation of the temporal pattern of risk following chemotherapy. Methods are presented for modelling risk as a function of type of treatment and the interval since treatment. The methods are applications of generally available linear regression programs for epidemiological data, and could be equally well applied to studies of occupationally induced cancer.

Age Factors

Optimal choice of prognostic variables with an application to cardiac monitoring using M-mode echocardiography.

This paper provides a methodology for the optimal choice of a subset from a large number of interrelated diagnostic variables. We use predetermined abnormal ranges for each measurement and code subjects as abnormal or normal on this basis. We present a procedure to determine the smallest subset of measurements that identifies any subject abnormal on at least one measurement. We formulate and solve the problem using integer programming. We then apply this methodology to study the use of M-mode echocardiography to determine potentially cardiotoxic side effects of chemotherapy and compare its performance to several multivariate methods. Extensions and modifications are discussed.

Child

Location-scale cumulative odds models for ordinal data: a generalized non-linear model approach.

Proportional odds regression models for multinomial probabilities based on ordered categories have been generalized in two somewhat different directions. Models having scale as well as location parameters for adjustment of boundaries (on an unobservable, underlying continuum) between categories have been employed in the context of ROC analysis. Partial proportional odds models, having different regression adjustments for different multinomial categories, have also been proposed. This paper considers a synthesis and further generalization of these two families. With use of a number of examples, I discuss and illustrate properties of this extended family of models. Emphasis is on the computation of maximum likelihood estimates of parameters, asymptotic standard deviations, and goodness-of-fit statistics with use of non-linear regression programs in standard statistical software such as SAS.

Humans

Recent advances in programmable pacemakers. Consideration of advantages, longevity and future expectations.

The important electrical characteristics of conventional ventricular demand pacemakers currently widely employed are unable to be altered by noninvasive means after their implantation. However, a number of domestic pacemaker manufacturers have started to introduce a new modality for atraumatic modulation of these devices, the fully programmable pacemaker system, whereby the several variables regulating pacemaker operation may be optimized on an individual basis according to need. Such programmable pacemaker functions which can be varied include rate, energy output, refractory period and sensing threshold. The indications, significance and mechanisms for control of the various function programming are delineated for physician understanding at the present time.

Arrhythmias, Cardiac

Authentic standards for the reductive-cleavage method. The positional isomers of partially methylated and acetylated or benzoylated 1,4-anhydro-D-xylitol.

Described herein is a general method for the synthesis of all positional isomers of methylated and acetylated or benzoylated 1,4-anhydro-D-xylitol. The benzoates are generated simultaneously from 1,4-anhydro-D-xylitol by sequential partial methylation and benzoylation or sequential partial benzoylation and methylation. The individual isomers are obtained in pure form by high-performance liquid chromatography. Debenzoylation and acetylation provided the corresponding acetates. The 1H NMR spectra of the benzoates and the electron ionization mass spectra of the acetates and the tri-O-methyl derivative are reported herein as are the linear temperature programmed gas-liquid chromatography retention indices of the acetates and the tri-O-methyl derivative on three different capillary columns.

Acetates