Additive partial linear models with measurement errors

We consider statistical inference for additive partial linearmodels when the linear covariate is measured with error. Wepropose attenuation-to-correction and simulation-extrapolation,simex, estimators of the parameter of interest. It is shownthat the first resulting estimator is asymptotically normaland requires no undersmoothing. This is an advantage of ourestimator over existing backfitting-based estimators for semiparametricadditive models which require undersmoothing of the nonparametriccomponent in order for the estimator of the parametric componentto be root-n consistent. This feature stems from a decreaseof the bias of the resulting estimator, which is appropriatelyderived using a profile procedure. A similar characteristicin semiparametric partially linear models was obtained by Wanget al. (2005). We also discuss the asymptotics of the proposedsimex approach. Finite-sample performance of the proposed estimatorsis assessed by simulation experiments. The proposed methodsare applied to a dataset from a semen study.     

Nucleic acid quantification by delta pH measurement

Nucleic acids are quantitated by UV absorbance measurement, fluorimetry, or hybridization. While the latter method is time-consuming and requires exact knowledge of the sequence, spectroscopic methods require that the sample does not contain UV-absorbing or fluorescent material. An enzymatic method is the measurement of the hyperchromic change upon cleavage of the nucleic acids by nucleases (Kunitz assay). A variation of this assay makes use of the acidification of the solution upon cleavage. We demonstrate here that microgram nucleic acid quantities can be determined when one employs highly active nonspecific nucleases in conjunction with an instrumental setup consisting of a temperature-controlled mixing chamber and miniaturized pH electrodes. Because this method determines the total amount of phosphodiester bonds cleaved, it is independent of the composition or the secondary structure of the nucleic acid and, under certain precautions, represents a simple and robust alternative to optical assays for the determination of either the total nucleic acid concentration or the activity of nucleases in biochemical samples.     

Colorimetric pH measurement of animal cell culture media

Most animal cell culture media can be buffered using bicarbonate and high pressure CO₂ in a closed system. However, in an open system, the pH of the culture media increases continuously due to the marked difference in CO₂ pressure between the culture media and the atmosphere. Therefore, it is important to measure the exact pH of the culture media in an intact closed system. In this study, a pH measurement method was developed using visible light. The pH was calculated from light absorbance by the cells and by the culture media. This method was successfully applied to both suspension and anchorage-dependent cell cultures.     

Continuous measurement of the cytoplasmic pH in Lactococcus lactis with a fluorescent pH indicator

The cytoplasmic pH of Lactococcus lactis was studied with the fluorescent pH indicator 2',7'-bis-(2-carboxyethyl)-5 (and-6)-carboxyfluorescein (BCECF). A novel method was applied for loading bacterial cells with BCECF, which consists of briefly treating a dense cell suspension with acid in the presence of the probe. This results in a pH gradient, which drives accumulation of the probe in the cytoplasm. After neutralization the probe was well retained in cells stored on ice. BCECF-loaded cells were metabolically active, and were able to generate a pH gradient upon energization. The probe leaks out slowly at elevated temperatures. Efflux is stimulated upon energization of the cells, and is most likely catalyzed by an active transport system. It is a first-order process, and the rate constant could be deduced from the decrease of the fluorescence signal in periods of constant intracellular pH. This allowed a correction of the fluorescence signal for efflux of the probe. After calibration the cytoplasmic pH could be calculated from efflux-corrected fluorescence traces.     

The impact of measurement errors in the identification of regulatory networks

Background  

There are several studies in the literature depicting measurement error in gene expression data and also, several others about regulatory network models. However, only a little fraction describes a combination of measurement error in mathematical regulatory networks and shows how to identify these networks under different rates of noise.     

Application of macroscopic balances to the identification of gross measurement errors

A systematic method is presented which is capable of both detecting the presence of grossly biased measurement errors and locating the source of these errors in a bioreactor through statistical hypothesis testing. Equality constraints derived from material and energy balances are employed for the detection of data inconsistencies and for the subsequent identification of the suspect measurements by a process of data analysis and rectification. Maximum likelihood techniques are applied to the estimation of the states and parameters of the bioreactor after the suspect measurements have been eliminated. The level of significance is specified by the experimenter while the measurments are assumed to be randomly, normally distributed with zero mean and known variances. Two different approaches of data analysis, batchwise and sequential, that lead to a consistent set of adjustments on the experimental values, are discussed. Several examples based on the fermentation data taken from literature sources are presented to demonstrate the utility of the proposed method, and one set of data is solved numerically to illustrate the computational aspect of the algorithm.     

Simplified measurement of soil pH using an agar-contact technique

A method for the indirect measurement of soil-pH is described. This method allows the spatial arrangement of soil and rhizosphere to be conserved. The soil is brought into contact with a layer of agar, containing bromocresol purple. A nylon gauze is placed between soil and agar. For quantitative pH measurements, a micro-electrode is inserted into the agar after three hours of contact between soil and agar.The validity of the method was checked by comparing its results with those obtained by standard procedures. At different pH-levels (pH 5.0 to 7.0) in either a sandy or a clay soil, a high correlation (r²=0.98) was found between the two methods. However, in the case of the clay soil, the agar-pH was significantly lower than the standard-pH. In the sandy soil, in the range pH 5.0 to 6.0, the results of both methods agreed very well. The agar method was used to measure the pH dynamics in the rhizosphere of lucerne seedlings, grown in rhizotrons.     

Near-infrared, dual-ratiometric fluorescent label for measurement of pH

We describe the spectral properties of an amine-reactive, pH-sensitive, long-wavelength ratiometric fluorescent label having a pK_a in the physiological pH range. The label exhibits its main absorption and emission in the near-infrared (NIR) region. On deprotonation, a blue shift of the excitation maximum is observed. Importantly, both the protonated and deprotonated forms of the label are fluorescent, with the deprotonated form having an extremely large Stokes shift of more than 100 nm. The spectral and photophysical properties of this pH label are compared with the properties of the protein-conjugated forms. Due to the observed pK_a shift to the acidic pH range upon conjugation to proteins, such labels are ideal for studying phagocytic events and their regulation by drugs and/or environmental factors.     

Intracellular pH in individual pituitary cells: measurement with a dual emission pH indicator

Intracellular pH (pHi) can now be measured at the single cell level using dual emission wavelength microspectrofluorimetry with the fluorescent pH indicator SNARF 1 and its membrane permeant acetoxymethyl ester (SNARF 1/AM). We measured pHi of individual pituitary cells under both basal and stimulated conditions. The emitted fluorescence of SNARF 1 probe was calibrated following experimental manipulations of pHi in two types of rat pituitary cells. The calibration curves obtained in the two cell types were identical. We observed a Gaussian distribution of individual pHi with a wide dispersion (6.95 to 8) in the two cell populations. TRH (10(-7) M) and ionomycin (5 microM) induced a transient acidification followed by a sustained alkalinization, whereas K+ (50 mM) depolarization only exerted a transient acidification. These results show that the dual emission pH indicator SNARF 1 can be used to reliably investigate changes in pHi in individual endocrine cells.     

Corrections for instrumental errors in measurement of fluorescence and polarization of fluorescence

Calculations have been made to allow corrections for instrumental errors in the measurement of fluorescence and polarization coefficient. These errors are due to differences in transmittivities of the instruments for the horizontal and vertical components of the light. The relative error made in the quantum efficiency determination can be as large as 12%. When natural light is used for polarization measurement the relative error can be 15%. Special attention has been given to the case in which polarization measurements are used for measurements of binding of small molecules to macromolecules.     

Estimation in capture-recapture models when covariates are subject to measurement errors

We consider estimation problems in capture-recapture models when the covariates or the auxiliary variables are measured with errors. The naive approach, which ignores measurement errors, is found to be unacceptable in the estimation of both regression parameters and population size: it yields estimators with biases increasing with the magnitude of errors, and flawed confidence intervals. To account for measurement errors, we derive a regression parameter estimator using a regression calibration method. We develop modified estimators of the population size accordingly. A simulation study shows that the resulting estimators are more satisfactory than those from either the naive approach or the simulation extrapolation (SIMEX) method. Data from a bird species Prinia flaviventris in Hong Kong are analyzed with and without the assumption of measurement errors, to demonstrate the effects of errors on estimations.