The propagation of errors in long-term measurements of land-atmosphere fluxes of carbon and water

For surface fluxes of carbon dioxide, the net daily flux is the sum of daytime and nighttime fluxes of approximately the same magnitude and opposite direction. The net flux is therefore significantly smaller than the individual flux measurements and error assessment is critical in determining whether a surface is a net source or sink of carbon dioxide. For carbon dioxide flux measurements, it is an occasional misconception that the net flux is measured as the difference between the net upward and downward fluxes (i.e. a small difference between large terms). This is not the case. The net flux is the sum of individual (half-hourly or hourly) flux measurements, each with an associated error term. The question of errors and uncertainties in long-term flux measurements of carbon and water is addressed by first considering the potential for errors in flux measuring systems in general and thus errors which are relevant to a wide range of timescales of measurement. We also focus exclusively on flux measurements made by the micrometeorological method of eddy covariance. Errors can loosely be divided into random errors and systematic errors, although in reality any particular error may be a combination of both types. Systematic errors can be fully systematic errors (errors that apply on all of the daily cycle) or selectively systematic errors (errors that apply to only part of the daily cycle), which have very different effects. Random errors may also be full or selective, but these do not differ substantially in their properties. We describe an error analysis in which these three different types of error are applied to a long-term dataset to discover how errors may propagate through long-term data and which can be used to estimate the range of uncertainty in the reported sink strength of the particular ecosystem studied.     

A miniaturized, highly sensitive polarimeter as detector in an implantable glucose probe. II. Opto-electronic amplification and processing of measuring signals]

There is a clinical requirement for an implantable telemetric probe for monitoring glucose levels in humans. This probe can measure the glucose content of the intercellular tissue fluid, which reflects glucose levels in the blood. The lifespan of such an implantable probe should be maximal, so that presumably only physical measuring detectors, but not aging-sensitive bio-sensors can be considered. We are in the process of developing a very sensitive miniaturised detector based on polarimetry, capable of determining the measuring parameter--the spatial orientation of the in-plane vibration of a polarised light beam--with high accuracy. This is necessary for our purpose, since the physiological and pathological glucose levels modify in in-plane vibration by only a tiny angle of rotation. The high level of accuracy is achieved by various specific mechanisms both of the measuring parameters and the electric signal. Two suitable optoelectronic amplification methods are described. The first makes use of the ratio of the signal provided by the intensity of two consecutive beams, derived from the original light beam with the aid of a beam splitter. In this way, the sensitivity of determining the spatial position of the in-plane vibration of the polarised light beam can be increased by up to 50-fold in comparison with a "simple" polarimetry. The second method requires two very closely approximated (quasi united) or actually united beams from two sources, which are both "fixed-phase" time-coupled and quantitatively periodically intensity-modulated in opposite sense. Together with the already-mentioned ratio of the intensity signals of two consecutive beams, a periodically modulated signal generated from the individual signals is derived from this quasi-unified beam that enables the use of a phase sensitive rectifier-amplifier (lock-in amplifier) with its enormous amplification factor and noise elimination in the following circuitry.     

Analyte and internal standard cross signal contributions and their impact on quantitation in LC-MS based bioanalysis

Cross signal contributions between an analyte and its internal standard (IS) are very common due to impurities in reference standards and/or isotopic interferences. Despite the general awareness of this issue, how exactly they affect quantitation in LC-MS based bioanalysis has not been systematically evaluated. In this research, such evaluations were performed first by simulations and then by experiments using a typical bioanalytical method for tiagabine over the concentration range of 1-1000 ng/mL in human EDTA K(3) plasma. The results demonstrate that when an analyte contributes to IS signal, linearity and accuracy can be affected with low IS concentration. Thus, minimum IS concentrations have been obtained for different combinations of concentration range, percentage of cross contribution, and weighting factor. Moreover, while impurity in analyte reference standard is a factor in cross signal contribution, significant systematic errors could exist in the results of unknown samples even though the results of calibration standards and quality controls are acceptable. How these systematic errors would affect stability evaluation, method transfer, and cross validation has also been discussed and measures to reduce their impact are proposed. On the other hand, the signal contribution from an IS to the analyte causes shifting of a calibration curve, i.e. increase of intercept, and theoretically, the accuracy is not affected. The simulation results are well supported by experimental results. For example, good inter-run (between-run) accuracy (bias: -2.70 to 5.35%) and precision (CV: 2.07-10.50%) were obtained when runs were extracted with an IS solution containing 1-fold of the lower limit of quantitation.     

Diverging times in movement analysis

In movement analysis, more than one measuring system is often used to record biomechanical variables. Usually, it is desired to assign the occurring events to a common time line, which can be accomplished by synchronizing data acquisition, i.e. using a pulse to trigger a sample on all systems. However, this method is not supported by every system. Alternatively, the measurements of different systems can be started by a common trigger signal with no further synchronization of their sampling clocks during acquisition. With that, two systematic errors may be introduced, namely time lag and time drift. The extents of these errors not only depend on the individual system properties, but also depend on the set of systems combined. In this study, we introduce a simple method to determine time lag and time drift for two systems including cameras and force plates. Our results show that both parameters are present and dependent on chosen sampling frequencies. We conclude that in order to avoid misinterpretation of recorded signals the identified time lag and time drift need to be taken into account for trials of all durations.     

A dilution immunoassay to measure myosin regulatory light chain phosphorylation

We examined the quantitation of myosin regulatory light chain phosphorylation (MRLCP) by Western blot and found both offset and saturation errors. The desirable characteristics of an MRLCP assay are that the dynamic range be 60- to 100-fold and that the detection threshold be known and preferably very small relative to total MRLC concentration. No technique examined provided all these characteristics. However, accurate measurements can be obtained by including serial dilutions of the sample to provide a fractional calibration scale in terms of the dephosphorylated light chain and by using interpolation of the phosphorylated band signal intensity to provide values for the relative phosphorylation ratio. We found that this method offers several advantages over methods that rely on signal ratios from single samples: The dilution ratio method is less subject to errors from differences in protein load, it offers estimates of the error in the individual measurement, and has some redundancy that increases the likelihood of obtaining a valid measurement despite gel or membrane artifacts.     

Miniaturization capable, very sensitive polarimeter as detector of an implantable glucose probe. I. Optical amplification of the measuring value]

From a clinical point of view, an implantable telemetric probe for monitoring the blood glucose profile is highly desirable. It should be capable of monitoring the blood glucose level continuously or at regular brief intervals, if necessary requirement-controlled. Apart from blood, measurement can also be made in intercellular tissue fluid, for example, in subcutaneous connective and fatty tissue, because this fluid accurately reflects blood glucose levels after only a brief, but negligible, time lag. Since the functional lifespan of an implantable probe is of decisive importance, only physical sensors, but not bio-sensors can be considered. We are in the process of developing a very sensitive miniaturised detector based on polarimetry, capable of determining the measuring parameter--the spatial orientation of the in-plane vibration of a polarised light beam--with extreme accuracy. This is a very important point, since the physiological and pathological glucose levels modify the in-plane vibration by only a very tiny angle of rotation. The high level of accuracy is achieved by various specific optical amplification mechanisms, and amplification of the electric signal. Two purely optical amplification methods are described here. Simple linear elongation of the optical path of a laser beam within the sample, resulting in a proportional amplification of the measuring signal, is obviously strictly limited in an implantable probe. We therefore developed a technique that preserves the polarisation state of the light beam during reflection. This technique makes possible multiple passage of the light beam through the fluid being sensed, thus elongating the optical path by "folding" the light beam without the need to enlarge the measuring cuvette. In a second possibility, enlargement of the rotation angle can be achieved by reflecting the light beam from a suitable surface, when the orthogonal components of the polarised light beam are reflected to different extents.     

Errors in microdensitometry

Summary Microdensitometric errors can originate in the instrument, in the specimen or in the human operator. Instrumental sources of systematic error mostly reduce the apparent integrated absorbance, especially of relatively small and highly absorbing objects. They can be assessed, minimized or eliminated by available techniques, but with modern apparatus are in general important only if results of high accuracy are required. Instrument errors include: (a) distributional error, due to the use of too large a measuring spot or the specimen being out of focus; (b) glare (stray light), due mainly to multiple reflections in the microscope objective; (c) monochromator error (the use of insufficiently pure light); (d) calibration errors; and (e) errors resulting from lack of photometric linearity, or the specimen absorbance exceeding the measuring range of the instrument.Specimen errors, including problems of stain specificity and stoichiometry, are now the most important obstacles to a wider use of microdensitometry in histochemistry. The following selected topics are briefly discussed: fading; rate of staining; Beer's law deviations and the microdensitometry of opaque particles.Human errors include faulty logic, and failing to attempt an investigation because of anticipated difficulties which are in fact exaggerated or imaginary. The significance of microdensitometric results should, in general, be assessed by biological criteria rather than merely statistically; the use is urged of appropriate internal biological controls and standards wherever possible.     

Characteristics and detection principles of a new enzyme label producing a long-term chemiluminescent signal

A new enzyme label system is described which is superior to all existing chemiluminescence labels used in immunoassays. The system consists of the enzyme xanthine oxidase with hypoxanthine as substrate. The signal reagent contains perborate, an Fe–EDTA complex and luminol. The enzyme preparation and the signal reagent are very stable upon storage. The main features of the system are a long duration of the chemiluminescent signal (half-life time of 30 hours) and a very low limit of detection (about 3 amol). Possibilities and implications for the use of various measuring system are discussed.     

Errors drive the evolution of biological signalling to costly codes

Reduction of costs in biological signalling seems an evolutionary advantage, but recent experiments have shown signalling codes shifted to signals of high cost with an underutilization of low-cost signals. Here I derive a theory for efficient signalling that includes both errors and costs as constraints and I show that errors in the efficient translation of biological states into signals can shift codes to higher costs, effectively performing a quality control. The statistical structure of signal usage is predicted to be of a generalized Boltzmann form that penalizes signals that are costly and sensitive to errors. This predicted distribution of signal usage against signal cost has two main features: an exponential tail required for cost efficiency and an underutilization of the low-cost signals required to protect the signalling quality from the errors. These predictions are shown to correspond quantitatively to the experiments in which gathering signal statistics is feasible as in visual cortex neurons.     

The use of moment index displacement in analyzing fluorescence time-decay data

Moment index displacement automatically corrects a number of significant nonrandom instrumental errors in fluorescence time-decay measurements. Three-component data, obtained by measuring the fluorescence decay of three different species mixed in the same solution, were used as a test sample. It was shown, as predicted by theory, that moment index displacement corrects three nonrandom instrumental errors: (1) the presence of scatter in the data; (2) time origin shifts between lamp and fluorescence data; and (3) lamp drift, or time-dependent changes in the shape of the excitation curve. The data clearly show that the use of the method of moments with moment index displacement to analyze fluorescence decay data is not a curve-fitting procedure. This procedure will accurately obtain decay parameters for multiple-exponential decays from certain badly distorted data, yielding a calculated curve very different from the actual data.     

Correction Approaches for Doubly Labeled Water in Situations of Changing Background Water Abundance

Doubly labeled water (DLW) is an accurate, portable method for measuring free-living energy expenditure. However, under certain conditions shifts in baseline abundance of deuterium and oxygen-18 tracers used in the method may produce errors in derivation of both turnover (k) rates and calculated energy expenditure. Present objectives were to examine during what experimental situations baseline errors arise and to address means of correcting for such baseline shifts so that consequent errors in energy expenditure calculations are minimized. Under conditions where shifts in baseline abundance for deuterium and oxygen-18 parallel abundances corresponding to the natural meteoric water ratio, self-compensating changes in k values for both deuterium and oxygen will result in minimal error to the DLW energy expenditure calculations, provided that the dose ratio of isotopes also mimics the meteoric water line. However, in situations where relative shifts in abundance of each isotope across the measurement period are not in parallel relative to the natural meteoric water line, then the potential for larger DLW errors exists. Optimally, subjects should equilibrate with the new water source. Failing this, correction for shifting baseline can be accomplished by measuring isotopic abundance changes in a control group of subjects not given the DLW dose, but performing similar tasks and consuming the same diet as the group given DLW. Alternatively, theoretically based correction values can be calculated given knowledge of the abundances of the final drinking water and the interval time that subjects consumed the new fluid.     

Measurement of biodegradable substances using the salt-tolerant yeast Arxula adeninivorans for a microbial sensor immobilized with poly(carbamoyl) sulfonate (PCS) Part I: Construction and characterization of the microbial sensor

A microbial biosensor based on the yeast Arxula adeninivorans LS3 has been developed for measurement of biodegradable substances. Arxula is immobilized in the hydrogel poly(carbamoyl) sulfonate (PCS). The immobilized yeast membrane is placed in front of an oxygen electrode with -600 mV versus Ag/AgCl. Arxula is salt tolerant; it can give a stable signal up to 2.5 M NaCl in sample (120 mM in measuring cell). The sensor's measurements are highly correlated to BOD5 measurements. It has a very high stability which can last for 40 day without any decrease in signal. The linear range of the sensor is up to a corresponding BOD value of 550 mg/l.     

Advances in electronic timing systems: considerations for selecting an appropriate timing system

The proper selection of equipment is vital to the ability to accurately measure and track changes in performance. When measuring sprint time, electronic timing systems are recommended but may contain significant errors when an arm or leg passes through a gate before the torso. Dual-photocell (DP) and signal processing systems have been developed to overcome these issues. Ten subjects performed 10× 10-m sprints during which split time was calculated using 3 timing systems: a single photocell (SP) and DP without processing and a no-reflector gate with signal processing. The DP had fewer false signals compared with the SP (7, 14); however, signal processing eliminated all false signals. The mean differences between the 3 timing systems ranged from 9 to 17 milliseconds; however, the SD ranged 12-42 milliseconds because of the occurrence of false signals. When performing repeated 10-m sprints, it is vital to have a system that reduces or eliminates the occurrence of false signals, or training adaptations are likely to be overlooked. Thus, for 10-m sprints or splits, a timing system that reduces the incidence of false signals is needed (either DP or gates signal processing), and the use of an SP system without internal processing is inappropriate. However, as the distance and the expected adaptations increase, a smaller proportion of the adaptation is likely to be confounded when using an SP system.     

Measurement of O2 consumption, CO2 production, and water vapor production in a closed system

Equations for the calculation of O2 consumption, CO2 production, and water vapor production in a constant-volume, closed-system respirometer are presented. Necessary measurements include only the initial temperature, pressure, and gas volume in the respirometer chamber, and the fractional concentration of O2 in gas samples taken at the beginning and end of the period of measurement. Potential errors resulting from changes in CO2 and water vapor concentrations are identified. Ignoring CO2 effects can produce up to a 6.4% error in estimates of O2 consumption, and errors due to water vapor effects can exceed 100%. Techniques are presented for minimizing potential errors and for measuring CO2 and water vapor concentrations with an O2 analyzer so that potential errors can be eliminated.     

A method for quick measurement of protein binding to unilamellar vesicles.

A general method for measuring interaction of liposome-protein (or potentially small molecules) was developed. This method utilizes biotinylated liposomes to incubate with interactants. Streptavidin-coated paramagnetic resins were then added and the liposomes (along with bound materials) can be quickly separated under a magnetic field or by low speed centrifugation. Subsequently, concentration of unbound materials (in the supernatants) can be directly determined. The described method is particularly useful for proteins or compounds that are not very soluble under certain assay conditions.     

Non-contacting electrode system for the measurement of strain generated potentials in bone

Current methods employing contact electrodes for the measurement of the electromechanical properties of bone produce errors in the measurement due to the effects of polarization at the bone-electrode interface, and the flow of electric charges in the bone measuring circuit. In addition, signal artefacts may result from the movement of an electrode in contact with a specimen undergoing mechanical deformation. The principles for a non-contacting method, based on charge induction on a conductive plate placed in the field of a charged body (bone), and the resulting non-contacting electrode system are presented in this paper. The new electrode enabled measurement of strain generated potentials (SGP) in bone with minimal effect from the measuring circuit and provided new results previously masked by contacting measurement methods. Furthermore, the new electrode is a potential tool for further investigation of the in vitro electromechanical behaviour of bone, particularly in partially hydrated specimens and in vivo, thereby avoiding invasive methods or use of ionizing radiation.     

Non-Invasive Acoustical sensing of Drug-Induced Effects on the Contractile Machinery of Human Cardiomyocyte Clusters

There is an urgent need for improved models for cardiotoxicity testing. Here we propose acoustic sensing applied to beating human cardiomyocyte clusters for non-invasive, surrogate measuring of the QT interval and other characteristics of the contractile machinery. In experiments with the acoustic method quartz crystal microbalance with dissipation monitoring (QCM-D), the shape of the recorded signals was very similar to the extracellular field potential detected in electrochemical experiments, and the expected changes of the QT interval in response to addition of conventional drugs (E-4031 or nifedipine) were observed. Additionally, changes in the dissipation signal upon addition of cytochalasin D were in good agreement with the known, corresponding shortening of the contraction-relaxation time. These findings suggest that QCM-D has great potential as a tool for cardiotoxicological screening, where effects of compounds on the cardiomyocyte contractile machinery can be detected independently of whether the extracellular field potential is altered or not.     

Error analysis, biological modification factors and variance of peri-ungual video-capillary microscopy

Error analysis or the evaluation of the precision of microscopic measurements must distinguish between technical errors inherent in the measuring system, and biological variability. The technical error inherent in the overall system in the case of linear measurements is smaller than the lengths to be measured by 1 or 2 orders of magnitude. Thus, the erythrocyte column lengths can be correctly, reproducibly and linearly quantified over the entire measuring range. The biological influencing factors can largely be taken into account or excluded by suitable standardisation of the measuring process. Despite a considerable individual fluctuation in the erythrocyte velocity, there is, on average, no significant dependence of the measuring parameter within the daily profile or from day to day. Differences in capillary perfusion in the presence of diseases associated with microcirculatory disorders or a therapeutic influence on erythrocyte velocity can thus be reliably demonstrated.     

Dynamic measurements of CO diffusing capacity using discrete samples of alveolar gas

It has been shown that measurements of the diffusing capacity of the lung for CO made during a slow exhalation [DLCO(exhaled)] yield information about the distribution of the diffusing capacity in the lung that is not available from the commonly measured single-breath diffusing capacity [DLCO(SB)]. Current techniques of measuring DLCO(exhaled) require the use of a rapid-responding (less than 240 ms, 10-90%) CO meter to measure the CO concentration in the exhaled gas continuously during exhalation. DLCO(exhaled) is then calculated using two sample points in the CO signal. Because DLCO(exhaled) calculations are highly affected by small amounts of noise in the CO signal, filtering techniques have been used to reduce noise. However, these techniques reduce the response time of the system and may introduce other errors into the signal. We have developed an alternate technique in which DLCO(exhaled) can be calculated using the concentration of CO in large discrete samples of the exhaled gas, thus eliminating the requirement of a rapid response time in the CO analyzer. We show theoretically that this method is as accurate as other DLCO(exhaled) methods but is less affected by noise. These findings are verified in comparisons of the discrete-sample method of calculating DLCO(exhaled) to point-sample methods in normal subjects, patients with emphysema, and patients with asthma.