An optical method for the determination of platelet count in platelet samples contaminated with red blood cells.

We present a simple photometric method to determine the total concentration of platelets present in a sample independently of red blood cell concentration. Standard optical density curves for platelet samples ranging in concentration from 0 to 1.5 x 10(9) cells/ml and contaminated with red blood cells ranging in concentration from 0 to 0.03 x 10(9) cells/ml are determined. A study of the absorbance spectra of red blood cells and platelets suggests that by calculating the absorbance difference between two wavelengths, an estimate of red blood cell concentration can be made. Then, in the second step of this two-step method, the individual absorbance measurements at the two wavelengths are matched to the standard values determined previously to derive an estimate of platelet concentration. In a trial of 62 unknown platelet samples contaminated with red blood cells, the standard deviation for the error in platelet count was 0.16 x 10(9) cells/ml with a mean difference of 0.011 x 10(9) platelets/ml. We conclude that our method may be useful in laboratories not equipped with electronic cell counters as well as in applications such as the development of noninvasive measurements of platelet concentration in platelet transfusion packs.     

Thermodynamics and kinetics of the thermal unfolding of plastocyanin

The thermal denaturation of plastocyanin in aqueous solution was investigated by means of DSC, ESR and absorbance techniques, with the aim of determining the thermodynamic stability of the protein and of characterizing the thermally induced conformational changes of its active site. The DSC and absorbance experiments indicated an irreversible and kinetically controlled denaturation path. The extrapolation of the heat capacity and optical data at infinite scan rate made it possible to calculate the kinetic and thermodynamic parameters associated with the denaturation steps. The denaturation pathway proposed, and the parameters found from the calorimetric data, were checked by computer simulation using an equation containing the information necessary to describe the denaturation process in detail. ESR and absorbance measurements have shown that structural changes of the copper environment occur during the protein denaturation. In particular, the geometry of the copper-ligand atoms changes from being tetrahedral to square planar and the disruption of the active site precedes the global protein denaturation. The thermodynamic enthalpic change, the half-width transition temperature, and the value of ΔCp, were used to calculate the thermodynamic stability, ΔG, of the reversible process over the entire temperature range of denaturation. The low thermal stability found for plastocyanin, is discussed in connection with structural factors stabilizing the native state of a protein. Received: 17 July 1997 / Revised version: 22 November 1997 / Accepted: 15 January 1998     

Simultaneous determination of hemes a, b, and c from pyridine hemochrome spectra

Two procedures for analyzing overlapping optical spectra of mixtures of pyridine hemochromes are described, and extinction coefficients of pyridine hemochromes are provided for use with these methods. In the first procedure, absorbance is measured at a number of wavelengths equal to the number of components to be analyzed. This is the minimum amount of spectral data from which the concentration of each species can be calculated. In the second procedure, absorbance is measured at a number of wavelengths greater than the number of components to be analyzed. This redundancy of information makes it impossible to fit spectra which contain contributions from additional components, unless the spectra of the additional components are equal to linear combinations of the spectra of the species being analyzed. These two procedures are generally applicable to analyses of absolute or difference spectra of mixtures of components obeying Beer's law. The sensitivity to error in the absorbance measurements is only slightly greater than that for measuring a pure component at a single wavelength.     

Continuous spectrophotometric measurements of arteriovenous oxygen difference.

A relatively inexpensive dual-beam optical absorbance monitor was tested and adapted to measure arterio-enous oxygen difference ((a - v)delta O2). Since the molar extinction coefficients of oxy- and deoxyhemoglobin are markedly different at 660 nm, the difference in optical density between arterial and venous blood, as measured by the absorbance monitor, was shown to be linearly related to (a - v)delta02. When appropriate cuvettes (optical path length = 0.5 mm) were used, the instrument's 90% response time (4.4 s) was sufficiently rapid for most physiological applications such as Fick determinations of the rate of an organ's oxygen consumption. The theoretical basis of this spectrophotometric (a - v)deltaO2 measurement and sources of error are discussed in detail.     

Statistical aspects of van't Hoff analysis: a simulation study

The thermodynamics of biological interactions is frequently studied by the van't Hoff analysis whereby data on variation of the binding constant K(D) with temperature are used to obtain estimates of standard enthalpy (Delta H degrees ), entropy (Delta S degrees ), and heat capacity (Delta C degrees P) of complex formation. A Monte Carlo simulation demonstrates that the absolute error of the above parameters is proportional to the relative error of KD and independent of the actual values of KD and of the way they vary with temperature. The error of Delta H degrees is approximately the same as that of T Delta S degrees (within 14% in the temperature range 5-45 degrees C). The error depends both on the number of temperature points within the experimental temperature range and on the size of the range, but it is more sensitive to the latter. Using the linear form of the van't Hoff equation to fit data with non-zero Delta C degrees P gives erroneous Delta H degrees and DeltaS degrees estimates at standard temperature except for the case when the T points are placed symmetrically with respect to the standard temperature. With the range of Delta C degrees P values usual for protein-protein interactions, the KD error must be very low to confidently infer that Delta C degrees P is non-zero or to claim that two interactions have different Delta C degrees P.     

High spatial resolution identification of hematoma in inhomogeneous head phantom using broadband fNIR system

This paper presents a novel method for early detection of hematomas using highly sensitive optical fNIR imaging methods based on broadband photon migration. The NIR experimental measurements of inhomogeneous multi-layer phantoms representing human head are compared to 3D numerical modeling over broadband frequencies of 30–1000 MHz. A finite element method (FEM) simulation of the head phantom are compared to measurements of insertion loss and phase using custom-designed broadband free space optical transmitter (Tx) and receiver (Rx) modules that are developed for photon migration at wavelengths of 670 nm, 795 nm, 850 nm, though results of 670 nm are discussed here. Standard error is used to compute error between 3D FEM modeling and experimental measurements by fitting experimental data to the \( a\sqrt {frequency} + b \). Error results are shown at narrowband and broadband frequency modulation in order to have confidence in 3D numerical modeling. A novel method is established here to identify presence of hematoma based on first and second derivatives of changes in insertion loss and phase (?IL and ?IP), where frequency modulated photons sensitive to different sizes of hematoma is identified for wavelength of 670 nm. The high accuracy of this comparison provides confidence in optical bio-imaging and its eventual application to TBI detection.     

Allosteric modulation of myristate and Mn(III)heme binding to human serum albumin. Optical and NMR spectroscopy characterization

Human serum albumin (HSA) is best known for its extraordinary ligand binding capacity. HSA has a high affinity for heme and is responsible for the transport of medium and long chain fatty acids. Here, we report myristate binding to the N and B conformational states of Mn(III)heme-HSA (i.e. at pH 7.0 and 10.0, respectively) as investigated by optical absorbance and NMR spectroscopy. At pH 7.0, Mn(III)heme binds to HSA with lower affinity than Fe(III)heme, and displays a water molecule coordinated to the metal. Myristate binding to a secondary site FAx, allosterically coupled to the heme site, not only increases optical absorbance of Mn(III)heme-bound HSA by a factor of approximately three, but also increases the Mn(III)heme affinity for the fatty acid binding site FA1 by 10-500-fold. Cooperative binding appears to occur at FAx and accessory myristate binding sites. The conformational changes of the Mn(III)heme-HSA tertiary structure allosterically induced by myristate are associated with a noticeable change in both optical absorbance and NMR spectroscopic properties of Mn(III)heme-HSA, allowing the Mn(III)-coordinated water molecule to exchange with the solvent bulk. At pH = 10.0 both myristate affinity for FAx and allosteric modulation of FA1 are reduced, whereas cooperation of accessory sites and FAx is almost unaffected. Moreover, Mn(III)heme binds to HSA with higher affinity than at pH 7.0 even in the absence of myristate, and the metal-coordinated water molecule is displaced. As a whole, these results suggest that FA binding promotes conformational changes reminiscent of N to B state HSA transition, and appear of general significance for a deeper understanding of the allosteric modulation of ligand binding properties of HSA.     

The interaction of nitric oxide with ascorbate oxidase.

1. The reaction of nitric oxide with oxidized and reduced ascorbate oxidase (L-ascorbate: oxygen oxidoreductase, EC 1.10.3.3) has been investigated by optical absorption measurements and electron paramagnetic resonance, and the results are compared with those of ceruloplasmin. 2. Upon anaerobic incubation of oxidized ascorbate oxidase with nitric oxide a decrease of the absorbance at 610 nm is found, which is due to an electron transfer from nitric oxide to Type-1 copper. 3. In the presence of nitric oxide the EPR absorbance of ascorbate oxidase decreases and shows predominatly a signal with characteristics of Type-2 copper (g parallel = 2.248; A parallel = 188 G), whereas the type-1 copper signal has vanished. 4. Comparison of the intensities of the EPR signals before and after NO-treatment points to the presence of one Type-2 and three Type-1 copper atoms per molecule of ascorbate oxidase. 5. It is shown that the changes in the optical and the EPR spectrum of ascorbate oxidase induced by nitric oxide are reversible. No difference in enzymic activity is found between the native enzyme and the NO-treated enzyme after removal of nitric oxide.     

Pre-steady-state kinetics of Escherichia coli aspartate aminotransferase catalyzed reactions and thermodynamic aspects of its substrate specificity

The four half-transamination reactions [the pyridoxal form of Escherichia coli aspartate aminotransferase (AspAT) with aspartate or glutamate and the pyridoxamine form of the enzyme with oxalacetate or 2-oxoglutarate] were followed in a stopped-flow spectrometer by monitoring the absorbance change at either 333 or 358 nm. The reaction progress curves in all cases gave fits to a monophasic exponential process. Kinetic analyses of these reactions showed that each half-reaction is composed of the following three processes: (1) the rapid binding of an amino acid substrate to the pyridoxal form of the enzyme; (2) the rapid binding of the corresponding keto acid to the pyridoxamine form of the enzyme; (3) the rate-determining interconversion between the two complexes. This mechanism was supported by the findings that the equilibrium constants for half- and overall-transamination reactions and the steady-state kinetic constants (Km and kcat) agreed well with the predicted values on the basis of the above mechanism using pre-steady-state kinetic parameters. The significant primary kinetic isotope effect observed in the reaction with deuterated amino acid suggests that the withdrawal of the alpha-proton of the substrates is rate determining. The pyridoxal form of E. coli AspAT reacted with a variety of amino acids as substrates. The Gibbs free energy difference between the transition state and the unbound state (unbound enzyme plus free substrate), as calculated from the pre-steady-state kinetic parameters, showed a linear relationship with the accessible surface area of amino acid substrate bearing an uncharged side chain.(ABSTRACT TRUNCATED AT 250 WORDS)     

Binding of methotrexate to dihydrofolate reductase and its relation to protonation of the ligand

Stopped-flow spectrophotometry and stopped-flow fluorometry have been used to study the binding of methotrexate (MTX) and 3-deazamethotrexate (3-deazaMTX) to dihydrofolate reductase (DHFR) isoenzymes from Streptococcus faecium and from Lactobacillus casei. The absorbance change and fluorescence quenching that occur when MTX binds to DHFR isoenzyme II from S. faecium (SFDHFR II) are both biphasic and give similar apparent rate constants for both phases. The faster phase has an apparent rate constant that is dependent on MTX concentration and therefore corresponds to the initial binding reaction. From the concentration dependence it has been calculated that the association rate constant is 3.0 X 10(5) M-1 s-1 at 20 degrees C and pH 7.3, and the association constant (equilibrium constant) under these conditions is 5.8 X 10(5) M-1. By examination of the amplitude of the fast-phase absorbance change at various wavelengths, it has been determined that the absorbance change occurring in the fast phase is due to MTX protonation. Within the limits of the method it was thus not possible to detect a difference in the rates of binding and of protonation of MTX. The MTX association rate constant is pH dependent, decreasing 330-fold as the pH is decreased from 5.0 to 9.0. The data fit well to a curve generated by assuming a single ionization with a pKa of 6.0 and a pH-independent association rate constant 1000-fold greater for binding of protonated MTX to SFDHFR II than for binding of unprotonated MTX.(ABSTRACT TRUNCATED AT 250 WORDS)     

A direct substitution, equation error technique for solving the thermographic tomography problem

A new technique for solving the combined state and parameter estimation problem in thermographic tomography is presented. The technique involves the direct substitution of known skin temperatures into the finite difference form of the bio-heat transfer equation as formulated for solving an initial value problem with a convection boundary condition at the skin surface. These equations are then used to solve the inverse bio-heat transfer problem for the unknown subcutaneous tissue temperatures and physiological parameters. For a small number of nodal points, closed form algebraic solutions are obtained. For larger sets of equations, a hybrid technique is used in which the problem is initially posed as an unconstrained optimization problem in which the model equation error is minimized using the conjugate gradient descent technique to get close to a solution. Then a generalized Newton-Raphson technique was used to solve the equations. A numerical simulation of a one-dimensional problem is investigated both with and without noise superimposed on the input (transient) skin temperature data. The results show that the technique gives very accurate results if the skin temperature data contains little noise. It is also shown that if the physical properties of the tissue and the metabolism are known, that a given set of proper transient skin temperature inputs yields a unique solution for the unknown internal temperatures and blood perfusion rates. However, the similar problem with known blood perfusion rates and unknown metabolisms does not yield a unique solution for the internal temperatures and metabolisms.     

Light-induced spectral absorbance changes in relation to photosynthesis and the epoxidation state of xanthophyll cycle components in cotton leaves

When cotton (Gossypium hirsutum L., cv Acaia SJC-1) leaves kept in weak light were suddenly exposed to strong red actinic light a spectral absorbance change took place having the following prominent characteristics. (a) It was irreversible within the first four minute period after darkening. (b) The difference in leaf absorbance between illuminated and predarkened leaves had a major peak at 505 nanometers, a minor peak at 465 nanometers, a shoulder around 515 nanometers, and minor troughs at 455 and 480 nanometers. (c) On the basis of its spectral and kinetic characteristics this absorbance change can be readily distinguished from the much faster electrochromic shift which has a peak at 515 nanometers, from the slow, so-called light-scattering change which has a broad peak centered around 535 nanometers and is reversed upon darkening, and from absorbance changes associated with light-induced chloroplast rearrangements. (d) The extent and time course of this absorbance change closely matched that of the deepoxidation of violaxanthin to zeaxanthin in the same leaves. (e) Both the absorbance change and the ability to form zeaxanthin were completely blocked in leaves to which dithiothreitol (DTT) had been provided through the cut petlole. DTT treatment also caused strong inhibition of that component of the 535-nanometer absorbance change which is reversed in less than 4 minutes upon darkening and considered to be caused by increased light scattering. Moreover, DTT inhibited a large part of nonphotochemical quenching of chlorophyll fluorescence in the presence of excessive light. However, DTT had no detectable effect on the photon yield of photosynthesis measured under strictly rate-limiting photon flux densities or on the light-saturated photosynthetic capacity, at least in the short term. We conclude that it is possible to monitor light-induced violaxanthin de-epoxidation in green intact leaves by measurement of the absorbance change at 505 nanometers. Determination of absorbance changes in conjunction with measurements of photosynthesis in the presence and absence of DTT provide a system well suited for future studies of meachanisms of dissipation of excessive excitation energy in intact leaves.     

Myoplasmic binding of fura-2 investigated by steady-state fluorescence and absorbance measurements.

Binding of the fluorescent Ca2+ indicator dye fura-2 by intracellular constituents has been investigated by steady-state optical measurements. Fura-2's (a) fluorescence intensity, (b) fluorescence emission anisotropy, (c) fluorescence emission spectrum, and (d) absorbance spectra were measured in glass capillary tubes containing solutions of purified myoplasmic proteins; properties b and c were also measured in frog skeletal muscle fibers microinjected with fura-2. The results indicate that more than half, and possibly as much as 85%, of fura-2 molecules in myoplasm are in a protein-bound form, and that the binding changes many properties of the dye. For example, in vitro characterization of the Ca2+-dye reaction indicates that when fura-2 is bound to aldolase (a large and abundant myoplasmic protein), the dissociation constant of the dye for Ca2+ is three- to fourfold larger than that measured in the absence of protein. The problems raised by intracellular binding of fura-2 to cytoplasmic proteins may well apply to cells other than skeletal muscle fibers.     

Estimation of Free Energy Systematic Errors in Molecular Simulations of Globular Proteins Surrounded by Finite Water Clusters. One Center Multipole Expansion of Reaction Field Differences

Free energy calculated in simulations on the atomic level (Monte Carlo or Molecular Dynamics) has a systematic error, if the water shell surrounding a globular protein is finite. The error (“cluster error”) is equal to a difference of free energies obtained in simulations with an infinite and finite water shell. In this work a continuum dielectric model was used to estimate the “cluster error”. A multipole expansion of the estimate was performed for a water shell with a spherical outer boundary. The expansion has very simple form. Each term is a product of two functions, one of them depending only on the charge's conformation, and the other one only on dielectric properties of the system. There are two practical uses of the expansion. First, it may be used to estimate the “cluster error” in a simulation already made; second, it may be used to plan a simulation in such a way that the “cluster error” is minimal. Numerical values of the largest terms in the multipole expansion corresponding to a typical system in simulations of globular proteins are given.     

Stopped-flow Circular Dichroism: A rapid kinetic study of the binding of a sulphonamide drug to bovine carbonic anhydrase

The technique of Stopped-Flow Circular Dichroism allows the simultaneous monitoring of chiroptical and absorbance transients at millisecond time resolution. In the binding of a chromophoric sulphonamide to Bovine Carbonic Anhydrase, the rapid kinetics of the induced circular dichroism and difference spectra proceed in parallel with bimolecular rate constant k₁ = 5 × 10⁶ M^?1 sec^?1 and apparent half reaction time of 8.7 msec for 24 μM reactants. A single classical binding process is indicated by both optical parameters.     

Is the PTPase-vanadate complex a true transition state analogue?

Vanadate can often bind to phosphoryl transfer enzymes to form a trigonal-bipyramidal structure at the active site. The enzyme-vanadate dissociation constants in these enzymes are much lower than those for phosphate. Therefore, enzyme-bound vanadate moieties are often considered as transition state analogues. To test whether the enzyme-vanadate complex is a true transition state analogue beyond the simple geometry and binding affinity arguments and whether the bond orders of the VO bonds in the complex approach those of the PO bonds in the transition state, the binding properties of vanadate in the Yersinia protein-tyrosine phosphatase (PTPase) and its T410A, D356N, W354A, R409K, and D356A mutants have been studied by steady-state kinetic measurements and by difference Raman measurements. The results of the kinetic measurements show no correlation between K(I) and kcat or kcat/K(m) in these mutants. In addition, our analysis of the Raman data shows that the bond order change of the nonbridging V--O bonds in the vanadate complexes does not correlate with the kinetic parameters in a number of PTPase variants as predicted by the transition state binding paradigm. Furthermore, the ionization state of the bound vanadate moiety is not invariant across the PTPase variants studied, and the average bond order of the nonbridging V--O bonds decreased by 0.06-0.07 valence unit in the wild type and all of the mutant PTPases, either in dianionic or in monoanionic form. Thus the complex would resemble an associative transition state, contrary to the previously determined dissociative structure of the transition state. Therefore, it is concluded that vanadate is not a true transition state analogue for the PTPase reactions.     

Interaction of soybean beta-amylase with glucose

The interaction of soybean beta-amylase with glucose was investigated by inhibition kinetics studies and spectroscopic measurements. The inhibition type, inhibitor constant (Ki) and dissociation constant (Kd) of beta-amylase-glucose complex were dependent on pH. At pH 8.0, glucose behaved as a competitive inhibitor (Ki = 34 mM). Binding of glucose produced a characteristic difference spectrum and a change of circular dichroism (CD) at pH 8.1. By using difference absorbance at 292 nm and difference ellipticity at 290 nm, Kd values for beta-amylase-glucose complex were determined to be 45 and 46 mM, respectively. In contrast to pH 8.0, glucose behaved as a mixed-type inhibitor (Ki = 320 mM) at pH 5.4. The Kd values obtained from the difference spectrum were increased by lowering the pH from 8. The pH dependence of the Ki and Kd values suggested that one ionizable group of pK = 8.0, which is shifted to 6.9 by the binding of glucose, controls the binding affinity of glucose. The binding of glucose competed with the binding of cyclohexaamylose and maltose at pH 8.0. The modification of SH groups of the enzyme affected the binding of glucose but did not affect the binding of maltose or cyclohexaamylose at pH 8.0. It was concluded from these results that the binding site of glucose is different from that of maltose and cyclohexaamylose. Presumably, glucose may bind to the subsite 1 of soybean beta-amylase.     

Testing the two-state model: anomalous effector binding to human hemoglobin

Three allosteric states are required to describe the relaxation of (carbon monoxy) hemoglobin following flash photolysis. Combined absorbance and fluorescence probes were used. The absorbance signals consist of a component corresponding to ligand recombination and a component for the R-T transition. The fluorescence of 8-hydroxy-1,3,6-pyrenetrisulfonate (HPT), an analogue of 2,3-diphosphoglycerate, shows rates and amplitudes correlated with the absorbance transients. Measurements were made at pII 6, 6.5, and 7.0 at CO partial pressures of 0.1 and 1 atm. The fractional photolysis was varied in each case to change the initial distribution of the R states. Data show an immediate absorbance change due to ligand dissociation, while the changes in the ligand isosbestic and the fluorescence signals occur with time constants of 80 microseconds (at pH 6.5). The signals then show a biphasic return to equilibrium, characteristic of the allosteric system. The measurements provide three independent probes of the kinetics of the substates of hemoglobin. Although the ligand binding data can be generally represented by a two-state model, the fluorescence data require T states with different affinities for HPT.     

Effects of p-hydroxymercuribenzoate binding on the visible absorption spectrum of methemoglobin.

The binding of p-hydroxymercuribenzoate to human methemoglobin causes a perturbation of the visible heme abosrption spectrum which is expressed by an increase in absorbance in the high spin band regions, 480 to 510 nm and 590 to 640 nm, concomitant with a decrease in absorbance in the alpha- and beta-band absorption regions. The pH dependence of the p-hydroxymercuribenzoate-induced difference spectrum can be accounted for quantitatively by a 5% shift toward higher spin of the aquo form of methemoglobin, a 15% shift toward higher spin of the hydroxide form, and a shift in the apparent pKa for the water to hydroxide transition from 7.92 to 8.04 when mercurial is bound. The rate of these heme abosrbance changes is consistent with the rapid second order formation of the beta93 cysteine, mercury-mercaptide bond and does not represent a change due to the dissociation of methemoglobin tetramers into dimers, even though the latter, slow process does follow mercurial binding. The observation of an increase in spin produced by the binding of a reagent which also promotes dimer formation argues strongly against any direct correlation between an increase in spin and the appearance of deoxyhemoglobin-like conformations.