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PubMed2001

Pharmacokinetics, pharmacodynamics, and platelet binding of an anti-glycoprotein IIb/IIIa monoclonal antibody (7E3) in the rat: a quantitative rat model of immune thrombocytopenic purpura.

The pharmacokinetics, pharmacodynamics, and platelet binding of 7E3, an anti-glycoprotein IIb/IIIa (GPIIb/IIIa) monoclonal antibody, were studied in the rat in an attempt to develop a quantitative animal model of immune thrombocytopenia (ITP). 7E3, a murine IgG1 antibody developed against human GPIIb/IIIa, demonstrated cross-reactivity with rat platelets by flow cytometry and via enzyme-linked immunosorbent assay. The apparent affinity (K(A)) of 7E3-rat platelet binding was 1.2 +/- 0.2 x 10(7) M(-1), with 3.3 +/- 0.3 x 10(4) binding sites per platelet. Following intravenous 7E3 administration (0.8, 4, and 8 mg/kg), plasma concentrations declined in a bi-exponential manner, with a terminal half-life of 61 +/- 5 h and a steady-state volume of distribution of 62 +/- 15 ml/kg. Clearance was dose-dependent, with values ranging from 0.64 +/- 0.08 ml/h/kg (8 mg/kg) to 1.01 +/- 0.08 ml/h/kg (0.8 mg/kg). 7E3 induced a reproducible, severe thrombocytopenia in rats and extended bleeding in a manner consistent with human ITP. Nadir platelet counts were 79 +/- 33, 25 +/- 6, and 17 +/- 2 x 10(6)/ml, for 7E3 doses of 0.8, 4, and 8 mg/kg, respectively. Bleeding times after a 10-mm tail incision ranged from 5 +/- 3 min in control animals to 15 +/- 0 min (the maximum allowed time in this study) in animals receiving 8 mg/kg. Blood volumes lost during bleeding experiments ranged from 30 +/- 24 microl (control) to 349 +/- 358 microl (8 mg/kg). A reproducible, quantitative rat model of ITP has been created; this model is expected to facilitate the evaluation of new treatments for this disease.

Abciximab↗
PubMed1987

Synergistic effect on thrombolysis of sequential infusion of tissue-type plasminogen activator (t-PA) single-chain urokinase-type plasminogen activator (scu-PA) and urokinase in the rabbit jugular vein thrombosis model.

In a quantitative model of thrombolysis, consisting of rabbits with a 125I-fibrin labeled blood clot in the jugular vein, simultaneous intravenous infusion over 4 hours of t-PA and scu-PA or of t-PA and urokinase had a significantly greater (p less than 0.01) thrombolytic effect than could be anticipated on the basis of the added effects of each agent alone. In order to further investigate the mechanism of this in vivo synergism, recombinant t-PA (rt-PA) and scu-PA in synergistic amounts were infused: 1) simultaneously over 4 hours, 2) rt-PA over 1 hour, then 15 min later scu-PA over 2 hours and 3) scu-PA over 1 hour, than 15 min later rt-PA over 2 hours. Simultaneous infusion of 0.1 mg/kg rt-PA and 0.2 mg/kg scu-PA gave 48 +/- 2 percent thrombolysis (mean +/- SEM, n = 5) and of 0.2 mg/kg rt-PA and 0.4 mg/kg scu-PA 67 +/- 5 percent (n = 5). When these infusions were given sequentially, rt-PA followed by scu-PA gave 32 +/- 5 (n = 4) and 49 +/- 8 (n = 4) percent lysis, but scu-PA followed by rt-PA yielded only 14 +/- 1 (n = 4) and 21 +/- 1 (n = 4) percent lysis, indicating that synergism occurs when rt-PA is followed by scu-PA but not when scu-PA is followed by rt-PA.(ABSTRACT TRUNCATED AT 250 WORDS)

Animals↗
PubMed1978

Systems-matching by degeneration. II. Interpretation of the generation and degeneration of retinal ganglion cells in the chicken by a mathematical model.

Quantitative data on generation and degeneration of retinal ganglion cells during development (Rager and Rager, 1978) are interpreted in terms of a mathematical model which consists of a system of differential equations. By these equations we attempt to describe the formation of retinal ganglion cells and their termination domains in the tectum. Since ganglion cells seem not to degenerate before their axons have arrived at their termination site and start branching, from the arrival time on they may become competent either to continue to mature or to die. Therefore, to find the actual number of competent cells the extension of the fiber pathway between the retina and the optic tectum had also to be measured and computed. The differential equations are united by the principle that at any given time cells in excess of the number of termination domains have to die. By this model the mathematical function was determined. Several parameter values of this function were optimized with the Gauss-Newton method by which the curve was fitted to the measured values. The high correlation obtained by this method allows to conclude that, to a first approximation, the model may be satisfactory. The evidence of competition for termination sites and of systems-matching by cell death is discussed.

Age Factors↗
PubMed1984

The significance of specific distributions and functions in models of quantitative inheritance.

The main purpose of this paper is to attract attention to the fact that a mathematical model of quantitative inheritance can lead to qualitatively different results, if distributions and functions which in the model represent biological processes are assumed to take analytically different (even though qualitatively similar) forms. A simple model of the effect of environmental variation on the post-selection genotypic variance in a population under phenotypic stabilizing selection is considered. It is demonstrated that this model leads to qualitatively different conclusions depending on whether the phenotypic fitness function is assumed in a Gaussian or in a quadratic form.

Genetics, Population↗
PubMed1990

Maximum-likelihood estimation: a mathematical model for quantitation in nuclear medicine.

In a stimulation study, we investigated the limitations of quantitation in nuclear medicine using a maximum-likelihood (ML) estimation model. We estimated activity, size, and position of a disk-shaped object on a circular, uniform background of unknown activity. The parameter estimates were unbiased, and their standard error was proportional to the square root of the total image counts. The estimates of object activity and size were strongly (negatively) correlated; the position estimates, however, were not correlated with estimates of any other parameters. This implies that a priori knowledge of object location does not improve precision. The minimal model of quantitation tasks should incorporate unknown object activity and size as well as unknown background activity. The ML estimation procedure was used to investigate the trade-off between resolution and sensitivity in gamma camera collimator design. The results implied that for complex tasks such as the multiparameter estimation task investigated here, optimum performance is achieved at a better resolution than that previously found optimal for detection of a well-specified object in a known background.

Humans↗
PubMed1994

Experimental models for quantitative studies on adhesion formation in rats and rabbits.

Postoperative formation of adhesions is a common complication in abdominal surgery. The aim of the present study was to develop standardized experimental models for quantitative studies of the formation of adhesions in rats and rabbits. In rats the suturing of a peritoneal wound increased adhesion formation significantly compared to leaving it open, 77.9 +/- 4.8 and 5.3 +/- 2.8%, respectively (p < 0.001). The suturing technique, when comparing the interrupted and continuous method after 1 week, had no influence, 84.5 +/- 6.3% and 73.1 +/- 11.2%, respectively (p > 0.05). Different types of trauma resulted in differences in adhesion formation to noninjured parts in the abdominal cavity, adhesions in 17.5 and 2.5% of the animals, respectively (p < 0.05). In rabbits adhesions formed more frequently (p < 0.001) to visceral peritoneum (59.3 +/- 3.7%) than to the parietal one (22.3 +/- 1.6%) indicating a different propensity of tissues to have adhesions. These models enable detailed quantitative studies on experimental formation of adhesions.

Animals↗
PubMed1992

Influence of the tumor mass on the valine rate constants and on valine incorporation into proteins in an experimental brain tumor model.

Quantitative autoradiography was used to estimate regional transfer coefficients for valine incorporation and the rate of valine (exogenous and total) incorporation into proteins in an implanted brain-tumor model (AA ascites tumor). Special attention was paid to the evaluation of the tumor mass influence on the transfer coefficients and the rate of incorporation. The size of the tumors used in this study ranged from 2 to 5 mm in diameter. Nine groups of two to three animals each were used to determine the transfer coefficient. The transfer coefficients for movement of the label between different compartments were significantly greater in the tumor than in the normal brain. There is no tumor mass effect on the transfer coefficients or the rate of valine incorporation into proteins in surrounding or remote brain structures. The ratio between specific radioactivities of the free value in tissue and plasma was also measured. Results indicate that approximately the same fraction of the total valine is recycled in cortex as in the tumor tissue. The mean rates of exogenous valine incorporation into proteins (nmol g-1 min-1) is about one order of magnitude greater in the tumor than in the contralateral parietal cortex.

Animals↗
PubMed2003

Segregation analysis comparing liability and quantitative trait models for hypertension using the Genetic Analysis Workshop 13 simulated data.

Discrete (qualitative) data segregation analysis may be performed assuming the liability model, which involves an underlying normally distributed quantitative phenotype. The appropriateness of the liability model for complex traits is unclear. The Genetic Analysis Workshop 13 simulated data provides measures on systolic blood pressure, a highly complex trait, which may be dichotomized into a discrete trait (hypertension). We perform segregation analysis under the liability model of hypertensive status as a qualitative trait and compare this with results using systolic blood pressure as a quantitative trait (without prior knowledge at that stage of the true underlying simulation model) using 1050 pedigrees ascertained from four replicates on the basis of at least one affected member. Both analyses identify models with major genes and polygenic components to explain the family aggregation of systolic blood pressure. Neither of the methods estimates the true parameters well (as the true model is considerably more complicated than those considered for the analysis), but both identified the most complicated model evaluated as the preferred model. Segregation analysis of complex diseases using relatively simple models is unlikely to provide accurate parameter estimates but is able to indicate major gene and/or polygenic components in familial aggregation of complex diseases.

Adult↗
PubMed1989

Models of quantitative variation of flux in metabolic pathways.

As a model of variation in a quantitative character, enzyme activity variation segregating in a population is assumed to affect the flux in simple metabolic pathways. The genetic variation of flux is partitioned into additive and nonadditive components. An interaction component of flux variance is present because the effect of an allelic substitution is modified by other substitutions which change the concentrations of shared metabolites. In a haploid population, the the proportion of interaction variance is a function of the gene frequencies at the loci contributing to the flux variation, enzyme activities of mutant and wild type at variable loci and activities at nonvariable loci. The proportion of interaction variance is inversely related to the ratio of mutant to wild-type activities at the loci controlling the enzyme activities. The interaction component as a function of gene frequencies is at a maximum with high mutant allele frequencies. In contrast, the dominance component which would apply to a diploid population is maximal as a proportion of the total when mutant alleles are at low frequencies. Unless there are many loci with large differences in activity between the alleles, the interaction component is a small proportion of the total variance. Data on enzyme activity variation from natural and artificial populations suggest that such variation generates little nonadditive variance despite the highly interactive nature of the underlying biochemical system.

Alleles↗
PubMed2003

[A model for quantitative cigarette smoking and response of airways to cigarette smoke in guinea pigs].

OBJECTIVE: To establish an animal model for quantitative cigarette smoking and to determine the acute response of airways to cigarette smoke in guinea pigs. METHODS: The device for inhaling quantitative cigarette smoking was made, which was double pass and single-direction with the minimum dead space. The changes of airway resistance(R(L))and dynamic lung compliance(Cdyn) in guinea pigs exposed to compound air consisting of 75% cigarette smoke and 25% oxygen were observed. Exudation of Evans blue in pulmonary vessels was also determined after consecutive inhalation of 60 ml smoke. RESULT: The R(L) increased from the baseline of (0.21+/-0.05) cmH(2)O x ml(-1) x s to (0.37+/-0.13) cmH(2)O x ml(-1) x s after 10 consecutive breaths of cigarette smoke exposure(P<0.01). The Cdyn decreased to (61+/-19)% of baseline at the ninth to eleventh breaths (P<0.01). The exudations of Evans blue significantly increased in all measured parts of the airways such as lower trachea, main bronchi, proximal intrapulmonary airways and distal intrapulmonary airways (P<0.01). CONCLUSION: The model established in this study is useful for measuring the acute responses of airways induced by cigarette smoke in guinea pigs. Acute inhalation of cigarette smoke decreases dynamic lung compliance, increases airway resistance and vascular permeability of pulmonary vessels in guinea pigs.

Airway Resistance↗
PubMed1993

Serologic determinants of survival in patients with head and neck cancer: validating a clinical prediction model.

Quantitative measurements of serum C1q-binding macromolecules (C1qBM) and immunoglobulin A (IgA) were done on 162 patients using previously described methodology. The measurements were compared to a previously described head and neck cancer population. Using the Cox Proportional Hazards model, the prognostic implications regarding high C1qBM and subsequent death with disease (P = .02), and regional recurrence (P = .0094) were validated, but not our previous IgA-related prognostic implications. When both study populations were combined, C1qBM was predictive of survival in those patients treated with induction chemotherapy (P = .0001). C1qBM was not a significant predictor of survival in patients treated with surgery plus postoperative radiation therapy in either this second "test" population or in the original "training" population. The findings demonstrate the confounding influence of treatment modalities and the importance of model validation.

Age Factors↗
PubMed1991

Pressure-induced retinal ischemia in rats: an experimental model for quantitative study.

The advent of treatment modalities with the potential to ameliorate retinal ischemic injury calls for methods allowing their quantitative assessment. We thus established a model of pressure-induced retinal ischemia/reperfusion injury in rats. The intraocular pressure (IOP) was raised to 110 mm Hg by cannulation of the anterior chamber for a duration of 0, 90 or 120 min. The eyes were reperfused for 3 or 7 days. Morphologically, retinal injury occurred in a pattern consistent with retinal and choroidal vascular occlusion. Damage increased in severity with prolonged durations of ischemia. Morphometric determination of the mean thickness of inner retinal layers (MTIRL) revealed significant differences between controls and the 90- or 120-min ischemia groups (p less than 0.05 and p less than 0.01, respectively). The difference in MTIRL between 3 and 7 days of reperfusion was not significant. Replacement of normal saline by a solution of 5% dextrose in the hydrostatic device used to increase the IOP led to a decrease in retinal injury after 120 min of ischemia (p less than 0.01). This model combines a relatively simple methodology, cost-effective execution and a fast, semicomputerized method of quantitation. Depletion of carbohydrates during ischemia may contribute to retinal injury in this model.

Animals↗
PubMed1998

Rate of neuronal fallout in a transsynaptic cerebellar model.

Quantitative analyses of transsynaptic granule cell death subsequent to the genetically determined degeneration of Purkinje cells in the cerebellum of pcd/pcd mutant mice show that granule neuron fallout follows a typical mathematical pattern of elemental decay. Biological and theoretical connotations are discussed in light of the empirical observations and a simulation model.

Animals↗
PubMedDate not supplied

Estimation of dioxin and furan elimination rates with a pharmacokinetic model.

Quantitative description of the pharmacokinetics of dioxins and furans in humans can be of great help for the assessment of health risks posed by these compounds. To that the elimination rates of sixteen 2,3,7,8-chlorinated dibenzodioxins and dibenzofurans are estimated from both a longitudinal and a cross-sectional data set using the model of Van der Molen et al. [Van der Molen G.W., Kooijman S.A.L.M., and Slob W. A generic toxicokinetic model for persistent lipophilic compounds in humans: an application to TCDD. Fundam Appl Toxicol 1996: 31: 83-94]. In this model the elimination rate is given by the (constant) specific elimination rate multiplied with the ratio between the lipid weight of the liver and total body lipid weight. Body composition, body weight and intake are assumed to depend on age. The elimination rate is, therefore, not constant. For 49-year-old males, the elimination rate estimates range between 0.03 per year for 1,2,3,6,7,8-hexaCDF to 1.0 per year for octaCDF. The elimination rates of the most toxic congeners, 2,3,7,8-tetraCDD, 1,2,3,7,8-pentaCDD, and 2,3,4,7,8-pentaCDF, were estimated at 0.09, 0.06, and 0.07, respectively, based on the cross-sectional data, and 0.11, 0.09, and 0.09 based on the longitudinal data. The elimination rates of dioxins decrease with age between 0.0011 per year for 1,2,3,6,7,8-hexaCDD and 0.0035 per year for 1,2,3,4,6,7,8-heptaCDD. For furans the average decrease is 0.0033 per year. The elimination rates were estimated both from a longitudinal and a cross-sectional data set, and agreed quite well with each other, after taking account of historical changes in average intake levels.

Adolescent↗
PubMed1991

An in oculo model for quantitation of vascular growth in the rat heart.

STUDY OBJECTIVE: The aim was to describe, both qualitatively and quantitatively, vascularisation in an in oculo model that may prove useful for studying neovascularisation in the myocardium. DESIGN: Whole hearts from 13-14 d rat fetuses were implanted into the anterior chamber of host Sprague Dawley rats. Implant growth was monitored and at 3 months postimplantation grafts were recovered. EXPERIMENTAL MATERIAL: Fixed tissue sections were histologically characterised with light and electron microscopy and morphometrically analysed using image analysis. MEASUREMENTS AND MAIN RESULTS: At two weeks, 92% of implanted hearts were beating. At 1 month, well vascularised implants that were beating were slightly larger than those not beating, at 16.0(SD 1.0) v. 12.3(2.0)mm2. By 2 months, beating implants were significantly (p less than 0.05) larger than non-beating implants, at 23.5(3.0) v. 12.4(1.7)mm2. In non-beating implants, the larger the extent of vascularisation, the larger the implant size. Histologically, well vascularised beating implants showed normal adult cardiac myocyte structure, with normal appearing sarcomeres and intercalated discs, but no preferential fibre orientation. The amount of area occupied by muscle and connective tissue varied between implants. Implant vasculature, including arterioles and capillaries, appeared normal. The percentage of vascular area was consistent between grafts. A small percentage of total area was occupied by lymphocytes. CONCLUSIONS: This investigation indicates that sufficient vascularisation is important for growth of grafts, provides for the first time quantitative morphometric data characterising the in oculo cardiac implant model, and reports baseline data that will be useful for comparison to myocardium treated with putative angiogenic factors in the future.

Animals↗
PubMed2006

An efficient method for calculating kinetic parameters in a dual-input single-compartment model.

Quantitative measurement of hepatic perfusion has the potential to provide important information in the assessment and management of various liver diseases. The utility of hepatic perfusion characterization relies on the resolution of each component of its dual blood supply, i.e. the hepatic artery and portal vein. In this study, a linear equation was derived by integrating the differential equation describing the kinetic behaviour of contrast agent (CA) in a dual-input single-compartment model, from which the kinetic parameters can be easily obtained using the linear least-squares method. The usefulness of this method was investigated using computer simulations, in comparison with the non-linear least-squares (NLSQ) method. This method calculated the kinetic parameters faster than the NLSQ method by a factor of approximately 10, with almost the same accuracy as the NLSQ method. This method will be useful for analysing the kinetic behaviour of CA in the unique liver environment, especially by generating the functional images of kinetic parameters.

Computer Simulation↗
PubMed2004

Data evaluations and quantitative predictive models for vapor pressures of polycyclic aromatic hydrocarbons at different temperatures.

Polycyclic aromatic hydrocarbons (PAHs) are typical and ubiquitous organic pollutants. Vapor pressures, which can be classified as solid vapor pressure (P(S)) and (subcooled) liquid vapor pressure (P(L)), are key physicochemical properties governing the environmental fate of organic pollutants. It is of great importance to develop predictive models of vapor pressures. In the present study, partial least squares (PLS) regression together with 15 theoretical molecular structural descriptors was used to develop quantitative predictive models for vapor pressures of PAHs at different temperatures. Two procedures were adopted to develop the optimal predictive models by eliminating redundant molecular structural descriptors. The cross-validated Q2(cum) values for the obtained models have been found higher than 0.975, indicating good predictive ability and robustness of the models. It has been shown that the intermolecular dispersive interactions played a leading role in governing the values of log P(L). In addition to dispersive interactions, dipole-dipole interactions also played a secondary role in determining the magnitude of log P(S). In view of the scarceness of chemical standards for some PAHs, the difficulty in experimental determinations, and the high cost involved in experimental determinations, the obtained models should serve as a fast and simple first approximation of the vapor pressure values for PAHs at different environmental temperatures.

Environmental Pollutants↗
PubMed2001

Magnetic resonance image analysis by information theoretic criteria and stochastic site models.

Quantitative analysis of magnetic resonance (MR) images is a powerful tool for image-guided diagnosis, monitoring, and intervention. The major tasks involve tissue quantification and image segmentation where both the pixel and context images are considered. To extract clinically useful information from images that might be lacking in prior knowledge, we introduce an unsupervised tissue characterization algorithm that is both statistically principled and patient specific. The method uses adaptive standard finite normal mixture and inhomogeneous Markov random field models, whose parameters are estimated using expectation-maximization and relaxation labeling algorithms under information theoretic criteria. We demonstrate the successful applications of the approach with synthetic data sets and then with real MR brain images.

Algorithms↗