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Response of unmyelinated (C) polymodal nociceptors to thermal stimuli applied to monkey's face.

1. The response of C polymodal nociceptors to thermal and mechanical stimuli applied to the monkey's face was recorded extracellulary in the trigeminal ganglion in rhesus monkeys anesthetized with sodium pentobarbital. Conduction velocities, determined from electrical stimulation of receptive fields (RFs), were in the range for unmyelinated C fibers (mean=0.82 m/s, n=20; SD=+/-0.17). With two exceptions cutaneous RFs were single spots (median=2 mm2; n=37) and usually were identical for thermal and mechanical stimuli. The median force threshold for the sample of units was 1.2 g (von Frey technique; n = 39; range = 0.07-8.5 g). 2. Discharges to thermal stimuli were investigated with a feedback-controlled contact thermode which permitted temperature changes less than or equal 12.0 degrees C/s. Thermal thresholds ranged from 38 degree to 49 degree C (median=46 degrees C; n=37), and maximum discharge frequencies were obtained in the noxious heat range (45-55 degrees C). For a graded series of 5 s duration stimuli from an adapting temperature of 35 degrees C, the number of impulses increased as a monotonic function of stimulus intensity over the range from threshold temperature to 50-53 degrees C. Many stimulus-response functions were positively accelerated, and linear regression analyses showed that most units examined were best fit by nonlinear functions. 3. The typical pattern of activity to 5 s duration temperature shifts into the noxious heat range was a short accelerating burst of impulses followed by deceleration to a lower rate of discharge prior to termination of the stimulus. The temporal profile of the discharge of impulses was virtually identical at different adapting temperatures. In units tested with 30 s duration stimuli at 2-6 degrees C above threshold, the mean frequency of discharge during the final 25 s was 1.46 impulses/s (n=6; SD=+/-0.89). 4. Application of noxious heat stimuli a few degrees above threshold temperature typically sensitized or enhanced the response of the unit to subsequent application of heat stimuli. The signs of sensitization consisted of a decrease in threshold temperature, increased frequency of discharge, decreased latency to the first impulse, and afterdischarges. Units failed to respond throughout the duration of 30 s stimuli if the final temperature exceeded 50 degrees C. Depressed responses were sometimes produced by application of intense (greater than or equal 55 degrees C) stimuli, presumably as a result of partial inactivation of the receptor. 5. In a correlative analysis, the latency and pattern of discharge in a sample of units were compared with escape responses in two monkeys to temperature shifts into the noxious heat range (49 and 51 degrees C). The analysis revealed that the discharge of C polymodal nociceptors alone cannot account for fast escape responses, but the discharge may contribute to escape responses which occur more than 3.5 s after the onset of stimulation.

Adaptation, Physiological↗

Mouse skin tumor initiation-promotion and complete carcinogenesis bioassays: mechanisms and biological activities of emission samples.

Extracts of soots obtained from various sources were applied to the skin of mice in an effort to identify carcinogens in these mixtures and to link these materials to the etiology of human cancer. Samples of coal chimney soot, coke oven materials, industrial carbon black, oil shale soot, and gasoline vehicle exhaust materials have been examined by this method. The studies reported here have been constructed to compare the carcinogenic and tumorigenic potency of extracts from various particulate emissions: coke ovens, diesel and gasoline vehicles and a roofing tar pot. Automobile emission samples were obtained by collecting the diluted and cooled exhaust on Teflon-coated glass fiber filters. Coke oven and roofing tar samples were particulate emission samples collected by impaction and filtration. The organic components associated with each of the particles were extracted with dichloromethane and dermally applied to SENCAR mice. All agents were applied as tumor initiators by using a five-dose protocol. Selected extracts were also applied as complete carcinogens and as tumor promotors. Statistical analyses of the resulting tumor data were performed by using nonlinear Poisson and probit models. The results from these experiments provide a suitable data base for comparative potency estimation of complex mixtures.

Air Pollutants↗

A longitudinal study of drinking and cognitive performance in elderly Japanese American men: the Honolulu-Asia Aging Study.

OBJECTIVES: This study prospectively describes the relationships between alcohol intake and subsequent cognitive performance among participants in the Honolulu Heart Program (HHP). METHODS: Alcohol intake was assessed at Exam III of the HHP, and cognitive performance was measured approximately 18 years later with the Cognitive Abilities Screening Instrument (CASI). Complete information was available for 3556 participants, aged 71 to 93 years at follow-up. RESULTS: In multivariate analyses, the relationship between drinking and later cognitive performance appeared nonlinear, as nondrinkers and heavy drinkers (more than 60 ounces of alcohol per month) had the lowest CASI scores and the highest risks of poor and intermediate CASI outcomes. Compared with nondrinkers, the risk of a poor CASI score was lowered by 22% to 40% among men who consumed 1-60 ounces of alcohol per month. CONCLUSIONS: We report a positive association between moderate alcohol intake among middle-aged men and subsequent cognitive performance in later life. However, it is possible that the health risks associated with drinking outweight any potential benefits for many elderly persons.

Aged↗

Specific assessments of warm and cool sensitivities in adult diabetic patients.

We have specifically examined warm and cool sensitivities in 60 diabetic and 43 nondiabetic individuals. Diabetic patients tended to have less warm and cool sensitivity than the control subjects (P less than .001 for age less than 50 yr and P less than .05 for age greater than or equal to 50 yr). Both patients asymptomatic for neuropathy and patients with symptoms had impairment of warm and cool sensitivity (P less than .05 for comparisons with control subjects). These differences persisted (P less than .05) in covariance analyses with age included as a covariate. There was a nonlinear association between warm sensitivity and hemoglobin A1c. Warm-sensitivity values in the lowest and middle tertiles of the hemoglobin A1c distribution were similar; however, warm-sensitivity values of patients in the highest tertile were markedly increased (P less than .05 for the comparison of the highest tertile with the lowest and middle tertiles combined). There tended to be more warm insensitivity than cool insensitivity among the diabetic patients, and this difference increased with worsening glycemia. These data indicate that both warm and cool sensations are markedly impaired in asymptomatic adult diabetic patients. They also suggest that warm sensitivity is more impaired than cool sensitivity, and that this is the result of a stronger association between warm sensitivity and metabolic factors.

Adult↗

Improvement of the Cockcroft-Gault equation for predicting glomerular filtration in cancer patients.

In order to determine the morphological and biological covariables which better predict the glomerular filtration rate in cancer patients, we performed the present study in a population of 123 patients (78 men, 45 women) with various tumor types; 55 of these patients had previously received cisplatin, and 12 had undergone unilateral nephrectomy. The 51Cr-EDTA plasma concentration versus time data of 80 patients were analysed according to a population pharmacokinetic approach by using the Nonlinear Mixed Effects Model (Nonmem) program. The best fit for 51Cr-EDTA clearance estimation was given by the following formula: [formula: see text] (with ABW for actual body weight in kg, age in years, sex = 0 if male and sex = 1 if female, and Scr for serum creatinine in mumol/l). Actual body weight was the most predictive morphologic parameter, and the adjustment was not improved by taking into account the ideal body weight. The GFR of patients previously treated with cisplatin was 18% lower than that of untreated patients age for age. However, this covariable was not present in the final model because it was redundant with other covariables, likely Scr. The formula was then prospectively evaluated with the data of 43 other patients. The mean (+/- SD) ratio between GFR predicted according the Nonmem formula and the observed GFR was 0.95 +/- 0.23 which did not differ significantly from unity. Conversely, the mean ratio between creatinine clearance calculated according to the Cockcroft-Gault equation and the observed GFR (0.86 +/- 0.21) differed significantly from unity. This study shows that in cancer patients the formula to calculate GFR drawn from Nonmem analysis is more accurate than the Cockcroft-Gault equation. However, an accurate determination of GFR requires specific techniques as 51Cr-EDTA clearance investigation.

Adult↗

Investigation of non-uniform airflow signal oscillation during high frequency chest compression.

BACKGROUND: High frequency chest compression (HFCC) is a useful and popular therapy for clearing bronchial airways of excessive or thicker mucus. Our observation of respiratory airflow of a subject during use of HFCC showed the airflow oscillation by HFCC was strongly influenced by the nonlinearity of the respiratory system. We used a computational model-based approach to analyse the respiratory airflow during use of HFCC. METHODS: The computational model, which is based on previous physiological studies and represented by an electrical circuit analogue, was used for simulation of in vivo protocol that shows the nonlinearity of the respiratory system. Besides, airflow was measured during use of HFCC. We compared the simulation results to either the measured data or the previous research, to understand and explain the observations. RESULTS AND DISCUSSION: We could observe two important phenomena during respiration pertaining to the airflow signal oscillation generated by HFCC. The amplitudes of HFCC airflow signals varied depending on spontaneous airflow signals. We used the simulation results to investigate how the nonlinearity of airway resistance, lung capacitance, and inertance of air characterized the respiratory airflow. The simulation results indicated that lung capacitance or the inertance of air is also not a factor in the non-uniformity of HFCC airflow signals. Although not perfect, our circuit analogue model allows us to effectively simulate the nonlinear characteristics of the respiratory system. CONCLUSION: We found that the amplitudes of HFCC airflow signals behave as a function of spontaneous airflow signals. This is due to the nonlinearity of the respiratory system, particularly variations in airway resistance.

Biological Clocks↗

APOE alleles predict the rate of cognitive decline in Alzheimer disease: a nonlinear model.

BACKGROUND: The APOE genotype predicts the age at onset of Alzheimer disease (AD) and neuropathologic progression. However, studies relating APOE alleles to the rate of cognitive decline have been inconclusive. This may stem from their use of linear statistical analyses. OBJECTIVE: To model relations of APOE alleles to the rate of cognitive decline in AD, nonlinearly. METHODS: Serial measures of cognitive ability were obtained using the cognitive scale of the Cambridge Examination for Mental Disorders of the Elderly in 218 patients with AD. The relations of these serial scores to APOE alleles were tested using nonlinear and linear mixed-effects models. RESULTS: In the non-linear model, possession of an APOE epsilon4 allele related to earlier and faster cognitive decline, but possession of an APOE epsilon2 related to slower decline. Patients homozygous for APOE epsilon4 showed faster cognitive decline than heterozygotes. The linear model was less sensitive and did not detect differences between APOE epsilon4 homo- and heterozygotes. CONCLUSIONS: APOE genotype strongly predicts the rate of cognitive decline in Alzheimer disease. The decline shows a dose-response relation with the APOE epsilon4 allele, but the APOE epsilon2 allele is protective. The nonlinear model yielded larger estimates of the maximal rate of decline than the linear.

Aged↗

[Three-dimensional finite element analyses on the transtibial residual limb and its prosthetic socket].

This paper presents a method for developing a nonlinear finite element model to analyze the load transfer between the transtibial residual limb and its prosthetic socket. The model was developed on the basis of three-dimensional geometry of the residual limb, internal skeleton, soft liner and socket. Interface elements, were used to connect the skin and the liner to simulate the friction/slip boundary conditions. The analyses were performed in two steps to simulate the donning procedure and the load-bearing situation. The model can be used to predict the pressures, shear stresses and slip between the residual limb and its socket under different external loads. Four models with different degrees of socket rectifications were analyzed.

Artificial Limbs↗

Nonlinearity detection: advantages of nonlinear mixed-effects modeling.

The purpose of this study was to address the question of whether the use of nonlinear mixed-effect models has an impact on the detection and characterization of nonlinear processes (pharmacokinetic and pharmacodynamic) in rich data obtained from a few subjects. Simulations were used to assess the difference between applying population analysis, ie, nonlinear mixed-effects models as implemented in NONMEM, and the standard 2-stage (STS) method as the data analysis method for detection and characterization of nonlinearities. Three situations were considered, 2 pharmacokinetic and 1 pharmacodynamic. Both the first-order (FO) and FO conditional estimation (FOCE) algorithms were used for the population analyses. Within each situation, rich data were simulated for 8 subjects at multiple dose levels. The true nonlinear model and a simpler linear model were fit to each data set using each of the STS, FO, and FOCE methods. Criteria were prespecified to determine when each data analysis method detected the true nonlinear model. For all 3 simulated situations, the application of population analysis with the FOCE algorithm enabled the detection and characterization of the true nonlinear models in at least a 4-fold lower dose level than the STS approach. For both of the pharmacokinetic settings, population analysis with the FO algorithm performed much more poorly than the STS approach. The superior detection and characterization of nonlinearities provided by population analysis with the FOCE algorithm should allow drug developers to better predict and define how a drug should be used in clinical practice in such situations.

Algorithms↗

Paroxetine: population pharmacokinetic analysis in late-life depression using sparse concentration sampling.

AIM: To develop a population pharmacokinetic (PK) model using sparse sampling of long-term treatment with paroxetine in elderly depressed subjects, incorporating CYP2D6 genotype as well as other covariates. METHODS: Elderly subjects (age>or=70 years) with nonpsychotic, nonbipolar major depressive disorder from the inpatient and outpatient clinic were treated with paroxetine in a 5-year clinical trial investigating 'Maintenance Therapies in Late-Life Depression' (MTLD-2). Plasma concentrations were collected during regular visits. CYP2D6 genotype was determined using polymerase chain reaction (PCR) for each individual. A nonlinear mixed-effects model was developed with NONMEM for these subjects who received 10-40 mg day-1 of paroxetine during treatment. One- and two-compartment models with linear and nonlinear elimination (Michaelis-Menten) were evaluated. PK parameters as well as interindividual and residual variability were estimated. The effects of age, weight, sex, race and CYP2D6 genotypes on the pharmacokinetics of paroxetine were evaluated. RESULTS: One hundred and seventy-one subjects with a mean age of 77 years (range 69-95) and a mean weight of 72.0 kg (range 32.9-137.0) were enrolled in the MTLD-2 clinical trial. A total of 1970 paroxetine concentrations were available for population PK analyses. Approximately 10 samples were taken per subject. A two-compartment nonlinear PK model with additive and proportional error provided the best base model for description of the data. Weight and CYP2D6 polymorphisms were found to have a significant effect on maximal velocity (Vm), whereas sex had an effect on volume of distribution of the central compartment. The Vm estimates in each of the CYP2D6 phenotypic groups were: 125 microg h-1 in poor metabolizer (n=1), 182 microg h-1 in intermediate metabolizers (n=28), 454 microg h-1 in extensive metabolizers (n=36) and 3670 microg h-1 in ultra-rapid metabolizers (n=5). CONCLUSIONS: The population PK model adequately described paroxetine data in this elderly depressed population. The data indicate that female and male subjects with different CYP2D6 polymorphisms have different elimination rates and therefore may need to be dosed differently based on metabolizer genotype.

Age Factors↗

Application of resampling techniques to estimate exact significance levels for covariate selection during nonlinear mixed effects model building: some inferences.

PURPOSE: One of the main objectives of the nonlinear mixed effects modeling is to provide rational individualized dosing strategies by explaining the interindividual variability using intrinsic and/or extrinsic factors (covariates). The aim of the current study was to evaluate, using computer simulations and real data, methods for estimating the exact significance level for including or excluding a covariate during model building. METHODS: Original data were simulated using a simple one-compartment pharmacokinetic model with (full model) or without (null model) covariates (one or two). The covariate values in the original data were resampled (using either permutations or parametric bootstrap methods) to generate data under the null hypothesis that there is no covariate effect. The original and permuted data were fitted to null and full models, using first-order and first-order condition estimation (with or without interaction) methods in NONMEM, to compare the asymptotic and conditional p-value. Target log-likelihood ratio cutoffs for assessing covariate effects were derived. RESULTS: The simulations showed that for sparse as well as dense data, the first-order condition estimation methods yielded the best results while the first-order method performs somewhat better for sparse data. Depending on the modeling objective, the appropriate asymptotic p-value can be substituted for the conditional significance level. Target log-likelihood ratio cutoffs should be determined separately for each covariate when exact p-values are important. CONCLUSIONS: Resampling methods can be employed to estimate the exact significance level for including a covariate during nonlinear mixed effects model building. Some reasonable inferences can be drawn for potential application to design future population analyses.

Adolescent↗

A new framework for investigating both normal and abnormal eye movements.

Any comprehensive framework for understanding eye movements has to include both normal and abnormal eye movement behaviour. One approach which is applicable to the entire range of oculomotor behaviour is provided by the techniques of nonlinear dynamics. The stability of models of the oculomotor system can be analysed in terms of the characteristics of their fixed points and periodic orbits, and the method of delays can be used to recover such parameters from measurements of eye position. Within this framework, quantitative comparisons can be made between the predictions of different models, and both normal and clinical eye movement recordings.

Algorithms↗

Contact analysis and mathematical modeling of traveling wave ultrasonic motors.

An analysis of the contact layer and a mathematical modeling of traveling wave ultrasonic motors (TWUM) are presented for the guidance of the design of contact layer and the analyses of the influence of the compressive force and contact layer on motor performance. The proposed model starts from a model previously studied but differs from that model in that it adds the analysis of the contact layer and derives the steady-state solutions of the nonlinear equations in the frequency domain, rather than in the time domain, for the analyses of vibrational responses of the stator and operational characteristics of the motor. The maximum permissible compressive force of the motor, the influences of the contact layer material, the thickness of the contact layer, and the compressive force on motor performance have been discussed. The results show that by using the model, one can understand the influence of the compressive force and contact layer material on motor performance, guide the choice of proper contact layer material, and calculate the maximum permissible compressive force and starting voltage.

Journal Article↗

Routine analysis by high precision gas chromatography/mass selective detector/isotope ratio mass spectrometry to 0.1 parts per mil.

Stable isotope methods are potentially quite useful for validating natural or enhanced mineral degradation of contaminants. For this reason, a continuous flow gas chromatograph (GC), isotope ratio mass spectrometer (IRMS) has been coupled with a quadrupole mass selective detector (MSD) to allow simultaneous mass spectral and stable carbon isotope ratio data to be obtained from a single chromatographic analysis. This allows the target contaminant and any extra-cellular degradation intermediates to be both qualified and quantified. Previously acceptable limits of precision (0.3 parts per mil) are undesirable given the small fractionation observed during aerobic degradation. To further understand the fate of organic contaminants and to gain information about the metabolic degradative pathway employed by a microorganism, routine isotopic analyses on a range of analytes have been performed. Quantities of sample producing mass-44 ion beam signal (I(44)) of 2 x 10(-10) to 1 x 10(-8) A were analysed. When the IRMS was tuned for high sensitivity, ion source nonlinearities were overcome by peak height correction from an algorithm that was produced using known isotopic standards of varying concentrations. This led to sample accuracy of <0.01 per thousand and sample precision of 0.1 per thousand. Copyright 1999 John Wiley & Sons, Ltd.

Journal Article↗

Comparing risk factors for population extinction.

Extinction risk of natural populations of animals and plants is enhanced by many different processes, including habitat size reduction and toxic chemical exposure. We develop a method to evaluate different risk factors in terms of the decrease in the mean extinction time. We choose a population model with logistic growth, environmental and demographic stochasticities with three parameters (intrinsic growth rate r, carrying capacity K, and environmental noise sigma(2)(e)). The reduction in the habitat size decreases carrying capacity K only, whilst toxic chemical exposure decreases survivorship (or fertility) and in effect reduces both r and K. We derived a formula for the reduction in habitat size that decrease the mean extinction time by the same magnitude as a given level of toxic chemical exposure. In a large population (large K) or in a slowly growing population (small r), a small decrease in survivorship can cause the extinction risk increase corresponding to a significant reduction in the habitat size. This conclusion depends also on the nonlinearity of dose-effect relationship. To illustrate the method, we analyse a freshwater fish, Japanese crucian carp (Carassius auratus subsp.) in Lake Biwa.

Animals↗

Replicator dynamics for optional public good games.

The public goods game represents a straightforward generalization of the prisoner's dilemma to an arbitrary number of players. Since the dominant strategy is to defect, both classical and evolutionary game theory predict the asocial outcome that no player contributes to the public goods. In contrast to the compulsory public goods game, optional participation provides a natural way to avoid deadlocks in the state of mutual defection. The three resulting strategies--collaboration or defection in the public goods game, as well as not joining at all--are studied by means of a replicator dynamics, which can be completely analysed in spite of the fact that the payoff terms are nonlinear. If cooperation is valuable enough, the dynamics exhibits a rock-scissors-paper type of cycling between the three strategies, leading to sizeable average levels of cooperation in the population. Thus, voluntary participation makes cooperation feasible. But for each strategy, the average payoff value remains equal to the earnings of those not participating in the public goods game.

Altruism↗

Physical aspects of the EEG in schizophrenics.

Physical and dynamic aspects of the electroencephalogram (EEG) were evaluated in 12 schizophrenic patients and 12 matched healthy control subjects by means of two descriptive measures proposed by Hjorth (complexity and mobility) and by a nonlinear measure, dimensional complexity. These measures were compared to power spectra analyses. EEG was recorded from frontal, central, and parietal leads under resting conditions (eyes open and eyes closed) for 12 epochs each of 25 sec. Patients showed the expected increased activity in the 1-7 Hz band and, furthermore, a scalp distribution of dimensional complexity and Hjorth complexity opposite to the distribution in controls: in patients dimensional complexity yielded higher values at frontal (Fz) than central (Cz) leads, whereas the resemblance to sinusoidal waveshape (Hjorth complexity) was larger at Fz than Cz. Results indicate more dynamic complexity or variables determining the dynamics of brain processes in frontal areas in patients.

Adult↗

Analysis of the interaction between a synthetic peptide of influenza virus hemagglutinin and monoclonal antibodies using an optical biosensor.

The interaction between two monoclonal antibodies and their corresponding Fab' fragments with a synthetic peptide, corresponding to the C-terminal 23 residues of the HA1 chain of influenza virus hemagglutinin against which they were generated, has been examined using an optical biosensor employing the detection principal of surface plasmon resonance (Pharmacia BIAcore). The data obtained has been analysed in detail by linear transformation of the primary data and nonlinear regression analysis, as well as by analysis of equilibrium binding data. The 2/1 antibodies and their Fab' fragments displayed higher affinity than the corresponding 1/1 proteins. The IgGs were found to have equilibrium association constants (KA) 10-20-fold higher than the corresponding Fab' fragments. This appears largely to be due to differences in the dissociation rate constant (kd) and probably reflects increased avidity due to bivalent binding.

Amino Acid Sequence↗