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M L Doyle

Publications and source records attributed to M L Doyle.

At least 37 records · Page 2Linked to original sources
PubMed1998

Site-directed mutagenesis probing the catalytic role of arginines 165 and 166 of human cytomegalovirus protease.

Human cytomegalovirus (CMV) is a member of the Herpesviridae family of viruses that also includes herpes simplex viruses (HSV-1 and HSV-2), varicella-zoster virus (VZV), human herpes virus-6, 7, and 8 (HHV-6, HHV-7, and HHV-8), and Epstein-Barr virus (EBV). Each member of this family encodes a serine protease that is a potential target for antiviral therapeutic intervention. We recently reported the crystal structure of CMV proteases [Qiu, X., Culp, J. S., DiLella, A. G., Hellmig, B., Hoog, S. S., Janson, C. A., Smith, W. W., and Abdel-Meguid, S. S. (1996) Nature 383, 275-279] and proposed that the highly conserved Arg165 and Arg166 residues are involved in stabilizing the oxyanion intermediate in human herpes protease catalyzed reactions through the backbone NH and side chain, respectively. In the current study, site-directed mutagenesis was carried out to probe the catalytic function of these two amino acid residues. Substitution of Arg166 with an alanine has led to ablation of enzymatic activity without detectable change in CMV protease conformation, supporting suggestions from the crystal structure that Arg166 side chain plays a major role in catalysis. The wild-type has a Km = 138 +/- 17 microM and kcat = 19.9 +/- 1.1 min-1, while R166A has only residual activity, with a kcat = 0.012 +/- 0.001 min-1 and an unaltered Km = 145 +/- 18 microM. In the crystal structure, the side chain of Arg166 was shown previously to hold a water molecule that can act as a hydrogen-bond donor to the oxyanion and was thus proposed to stabilize the oxyanion intermediate. However, kinetic characterization of the mutant R165A only reveals a 2.7-fold lower activity than wild-type, with a Km = 166 +/- 19 microM and a kcat = 7.4 +/- 0.4 min-1. These results confirm that Arg165 side chain is not involved in the stabilization of the oxyanion. It is likely that Arg165 only utilizes the backbone NH for catalysis as suggested by the crystal structure.

Alanine↗
PubMed1998

Thermodynamic studies on the equilibrium properties of a series of recombinant betaW37 hemoglobin mutants.

In human hemoglobin (Hb) the beta37 tryptophan residue (betaW37), located at the hinge region of the alpha1beta2 interface, forms many contacts with alpha subunit residues of the opposite dimer, in both the T and R quaternary structures. We have carried out equilibrium O2 binding studies on a series of recombinant Hbs that have mutations at this residue site: betaW37Y, betaW37A, betaW37G, and betaW37E. Binding isotherms measured at high concentrations of these mutants were found to be shifted toward increased affinity and decreased cooperativity from that of the normal HbA0 tetramer. Analysis of these binding isotherms indicated that amino acid substitutions at the beta37 position could both destabilize the tetrameric form of the mutants relative to their constituent dimers and also alter cooperativity of the intact tetrameric species. These alterations from wild-type function are dependent on the particular side chain substituted, with the magnitude of change increasing as Trp is substituted by Tyr, Ala, Gly, and Glu. The dimer to tetramer assembly free energy of deoxy-betaW37E, the most perturbed mutant in the series, was measured using analytical gel chromatography to be 9 kcal/tetramer less favorable than that of deoxy HbA0. Stabilizing the betaW37E tetramer by addition of IHP, or by cross-linking at the alphaK99 positions, does not restore normal O2 binding behavior. Thermodynamic parameters of all the mutants were found to correlate with their CO binding rates and with their high-resolution X-ray crystal structures (see accompanying papers: Kwiatkowski et al. (1998) Biochemistry 37, 4325-4335; Peterson & Friedman (1998) Biochemistry 37, 4346-4357; Kavanaugh et al. (1998) Biochemistry 37, 4358-4373].

Amino Acid Substitution↗
PubMed1998

Tight ligand binding affinities determined from thermodynamic linkage to temperature by titration calorimetry.

A general isothermal titration calorimetry method is described that can be used to determine equilibrium binding constants for high-affinity interactions of ligands with biological macromolecules. The method exploits the thermodynamic linkage between the ligand binding equilibrium constant and temperature. By measuring the binding enthalpy change for an interaction as a function of temperature directly, the change in affinity can be calculated with an integrated form of the van't Hoff equation that is applicable to ligand binding to biological macromolecules. When the temperature dependence of the affinity is combined with the absolute affinity determined independently at a convenient temperature (where the affinity can most accurately or most easily be measured), the absolute binding affinity over the entire temperature range is determined.

Antibodies, Monoclonal↗
PubMed1997

Monomeric isomers of human interleukin 5 show that 1:1 receptor recruitment is sufficient for function.

The normally dimeric human interleukin 5 (IL-5) was re-engineered into two monomeric isomer forms to investigate mechanistic features of receptor recognition. One form, denoted GM1-IL-5, is a CD-loop expanded form, in which an 8-residue linker designed for flexibility was inserted between residues 85 and 86. The second, denoted DABC-IL-5, is a circularly permuted form of human IL-5 in which a chain discontinuity was introduced in the CD loop and the two consequent chain fragments were joined at the normal N and C termini by a di-glycyl linker. Both IL-5 isomers folded into stable monomers in solution as shown by sedimentation equilibrium and CD and formed an intrachain disulfide bond predicted from the structure of wild type IL-5. From titration microcalorimetry and optical biosensor analyses, both monomers were shown to interact with the IL-5 receptor alpha chain with 1:1 stoichiometry and affinities 30- to 40-fold weaker than for the dimeric wild type protein. And both monomers stimulated cell proliferation of human IL-5 receptor positive cells with a concentration dependence close to that of wild type. The data show that both monomeric and dimeric forms of IL-5 function through similar 1:1 receptor alpha chain recruitment processes and that it is the helical packing of the monomeric four-helix bundle unit in IL-5, rather than the helical connectivity itself, that appears to play the major role in presenting structural epitopes to trigger functional receptor activation.

Binding Sites↗
PubMed1997

Pyridinyl imidazole inhibitors of p38 mitogen-activated protein kinase bind in the ATP site.

The site of action of a series of pyridinyl imidazole compounds that are selective inhibitors of p38 mitogen-activated protein kinase in vitro and block proinflammatory cytokine production in vivo has been determined. Using Edman sequencing, 125I-SB206718 was shown to cross-link to the nonphosphorylated Escherichia coli-expressed p38 kinase at Thr175, which is proximal to the ATP binding site. Titration calorimetric studies with E. coli-expressed p38 kinase showed that SB203580 bound with a stoichiometry of 1:1 and that binding was blocked by preincubation of p38 kinase with the ATP analogue, FSBA (5'-[p-(fluorosulfonyl)benzoyl]adenosine), which covalently modifies the ATP binding site. The intrinsic ATPase activity of the nonphosphorylated enzyme was inhibited by SB203580 with a Km of 9.6 mM. Kinetic studies of active, phosphorylated yeast-expressed p38 kinase using a peptide substrate showed that SB203580 was competitive with ATP with a Ki of 21 nM and that kinase inhibition correlated with binding and biological activity. Mutagenesis indicated that binding of 125I-SB206718 was dependent on the catalytic residues K53 and D168 in the ATP pocket. These findings indicate that the pyridinyl imidazoles act in vivo by inhibiting p38 kinase activity through competition with ATP and that their selectivity is probably determined by differences in nonconserved regions within or near the ATP binding pocket.

Adenosine↗
PubMed1997

Kinetic analysis of a protein antigen-antibody interaction limited by mass transport on an optical biosensor.

Using BIAcore technology, we determined the rate constants for a protein antigen-antibody interaction that was mass transport limited on the optical biosensor. The antigen consisted of a soluble form of the human T-cell receptor CD4 (two amino terminal domains, D1D2) and the antibody was an anti-CD4 monoclonal from monkey engineered with the constant domains from human IgG1. High quality response data were obtained for this interaction by orienting the attachment of the antibody on the sensor surface and correcting for instrument artifacts with control experiments. Using numerical integration and global fitting, we demonstrate that a mass transport limited reaction was the only model of those tested that described well D1D2 binding to three different surface densities of the antibody. Statistical profiling techniques showed that the error space and correlation for the parameters in the non-linear model were essentially linear, but only when the model was simultaneously fitted to data from multiple surface densities. The "on" and "off" rate constants (1.2 x 10(-6) M-1 s-1 and 2.9 x 10(-4) s-1) determined from the kinetic analysis predict an equilibrium dissociation constant (KD = 0.24 +/- 0.01 nM) that agrees with the value measured in solution by titration calorimetry (KD = 0.2 +/- 0.1 nM). The results indicate that, although the D1D2-antibody reaction is partially controlled by mass transport on the optical biosensor, by optimizing the experimental design and analyzing data from multiple surface densities it is possible to determine accurate estimates of the intrinsic equilibrium and kinetic rate constants.

Antibodies, Monoclonal↗
PubMed1997

Effects of NaCl on the linkages between O2 binding and subunit assembly in human hemoglobin: titration of the quaternary enhancement effect.

Oxygen binding by human hemoglobin (Hb) and the coupled reactions of dimer-tetramer assembly were studied over a range of NaCl concentrations (from 0.08 M to 1.4 M) at pH 7.4 and 21.5 degrees C. A strategy of multi-dimensional analysis was employed [G.K. Ackers and H.R. Halvorson, Proc. Natl. Acad. Sci. U.S.A., 91, (1974) 4312] to optimize the resolution of the contributions to cooperativity and their heterotropic salt linkages at each stoichiometric degree of O2 binding. A wide range of Hb concentration was utilized at each [NaCl] in which O2-linked subunit assembly reactions contributed significantly to the positions and shapes of the binding isotherms. Kinetic determinations yielded forward and reverse rate constants for assembly of the unligated species. Amplitudes for the assembly rate data had concentration dependences in agreement with the independently determined dimer-tetramer assembly constants of oxyhemoglobin. Concentration-dependent binding isotherms were analyzed, in combination with the kinetically determined equilibrium constants, to yield salt-linked components of cooperativity at the four stages of oxygenation. The principal results of this study were as follows. (i) Assembly of fully oxygenated Hb tetramers is opposed by NaCl: the dimer-to-tetramer equilibrium constant becomes two orders of magnitude less favorable over the [NaCl] range 0.08 M to 1.4 M. By contrast, for deoxy-Hb the assembly equilibrium constant is reduced only two-fold. (ii) Oxygen binding to dimers is non-cooperative over the entire salt range, whereas dimer affinity is slightly favored by increasing the NaCl concentration. (iii) Overall affinity of tetramers for O2 is opposed by NaCl, becoming an order of magnitude less favorable over the range employed. Most of this decrease occurs at the fourth binding step, which shows a large, salt-mediated quaternary enhancement effect; i.e., the assembly of dimers into tetramers at 0.08 M NaCl is accompanied by an eight-fold increase in O2 affinity. (iv) The quaternary enhancement effect at the last O2-binding step is titrated progressively by salt until it reaches a negligible value near the highest [NaCl] of this study. The lowest [NaCl] condition (0.08 M) elicits the greatest tetramer cooperativity with the largest maximal Hill coefficient and the greatest suppression of intermediates. Possible origins and mechanistic implications of these phenomena are considered.

Hemoglobins↗
PubMed1996

Human immunodeficiency virus protease ligand specificity conferred by residues outside of the active site cavity.

To gain greater understanding of the structural basis of human immunodeficiency virus (HIV) protease ligand specificity, we have crystallized and determined the structures of the HIV-1 protease (Val32Ile, Ile47Val, Val82Ile) triple mutant and simian immunodeficiency virus (SIV) protease in complex with SB203386, a tripeptide analogue inhibitor containing a C-terminal imidazole substituent as an amide bond isostere. SB203386 is a potent inhibitor of HIV-1 protease (Ki = 18 nM) but shows decreased inhibition of the HIV-1 protease (Val32Ile, Ile47Val, Val82Ile) triple mutant (Ki = 112 nM) and SIV protease (Ki = 960 nM). Although SB203386 binds in the active site cavity of the triple mutant in a similar fashion to its binding to the wild-type HIV-1 protease [Abdel-Meguid et al. (1994) Biochemistry 33, 11671], it binds to SIV protease in an unexpected mode showing two inhibitor molecules each binding to half of the active site. Comparison of these two structures and that of the wild-type HIV-1 protease bound to SB203386 reveals that HIV protease ligand specificity is imparted by residues outside of the catalytic pocket, which causes subtle changes in its shape. Furthermore, this work illustrates the importance of structural studies in order to understand the structure-activity relationship (SAR) between related enzymes.

Amino Acid Sequence↗
PubMed1996

The oxygen-binding intermediates of human hemoglobin: evaluation of their contributions to cooperativity using zinc-containing hybrids.

Hemoglobin tetramers [Zn/FeO(2)] containing oxygenated subunits (FeO(2)), in combination with unligated subunits containing zinc-substituted hemes (Zn), were analyzed to determine their contributions to the cooperativity of oxygen binding at the Fe sites. Energetic consequences of possible perturbation by zinc substitution were evaluated in all combinations of unligated Zn/Fe hybrid tetramers. A general thermodynamic strategy that corrects for the energetic effects of substituting a second metal for Fe showed the perturbations of Zn substitution to be negligible. This permitted cooperativity parameters of the native Fe/FeO(2) intermediates to be calculated from data on the corresponding Zn/FeO(2) molecules. These parameters, determined explicitly for all eight oxygen-binding intermediates (Fe/FeO(2)), were found to be identical to those predicted earlier from analyzing the O(2) binding data of normal hemoglobin according to the "molecular code" of hemoglobin allostery. The cooperativity parameters determined for this system showed the same distribution pattern found previously for five other oxygen analog systems (Fe/FeCN, FE/Mn(3+), Co/FECO, Co/FeCN, and Fe/FeCO).

Dimerization↗
PubMed1995

Tight binding affinities determined from thermodynamic linkage to protons by titration calorimetry.

A general titration calorimetry method is described that can be used to determine the affinity of tight binding interactions with proteins. The method is based on the thermodynamic linkage between ligand binding and coupled protonation reactions. The protons linked to a given ligand-binding reaction are measured by titration calorimetry, and integration of the resulting data set yields the pH dependence of the binding affinity based on thermodynamic relationships developed elsewhere. When the pH dependence of the binding affinity is combined with the absolute affinity determined independently at a pH at which the affinity can be conveniently measured, the absolute binding affinity over the entire pH range is determined. The method is well suited for determining high-affinity binding interactions of protein antigens with antibodies, but is applicable to any macromolecular ligand-binding reaction that is coupled to protonation.

Antigen-Antibody Reactions↗
PubMed1994

Determination of the monomer-dimer equilibrium of interleukin-8 reveals it is a monomer at physiological concentrations.

Interleukin-8 has been shown by X-ray crystallography and NMR to be a homodimer, suggesting that this is the form which binds to its receptor. Here we measure, for the first time, the monomer-dimer equilibrium of interleukin-8 using analytical ultracentrifugation and titration microcalorimetry and find that it dissociates readily to monomers with an equilibrium dissociation constant of 18 +/- 6 microM at 37 degrees C. The present findings suggest that the monomer is the form which binds to the receptor. Comparison of experimental and structure-based calculated thermodynamics of interleukin-8 dimerization argues for limited subunit conformational changes upon dissociation to monomer.

Calorimetry↗
PubMed1992

Cooperative oxygen binding, subunit assembly, and sulfhydryl reaction kinetics of the eight cyanomet intermediate ligation states of human hemoglobin.

Correlations between the energetics of cooperativity and quaternary structural probes have recently been made for the intermediate ligation states of Hb [Daugherty et al. (1991) Proc. Natl. Acad. Sci. US 88, 1110-1114]. This has led to a "molecular code" which translates configurations of the 10 ligation states into switch points of quaternary transition according to a "symmetry rule"; T-->R quaternary structure change is governed by the presence of at least one heme-site ligand on each of the alpha beta dimeric half-molecules within the tetramer [see Ackers et al. (1992) Science 255, 54-63, for summary]. In order to further explore this and other features of the cooperative mechanism, we have used oxygen binding to probe the energetics and cooperativities for the vacant sites of the cyanomet ligation species. We have also probed structural aspects of all eight cyanomet ligation intermediates by means of sulfhydryl reaction kinetics. Our oxygen binding results, obtained from a combination of direct and indirect methods, demonstrate the same combinatorial aspect to cooperativity that is predicted by the symmetry rule. Overall oxygen affinities of the two singly-ligated species (alpha +CN beta)(alpha beta) and (alpha beta +CN)(alpha beta) were found to be identical (pmedian = 2.4 Torr). In contrast, the doubly-ligated species exhibited two distinct patterns of oxygen equilibria: the asymmetric species (alpha +CN beta +CN)(alpha beta) showed very high cooperativity (nmax = 1.94) and low affinity (pmedian = 6.0 Torr), while the other three doubly-ligated species showed diminished cooperativity (nmax = 1.23) and considerably higher oxygen affinity (pmedian = 0.4 Torr). Extremely high oxygen affinities were found for the triply-ligated species (alpha +CN beta +CN)(alpha beta +CN) and (alpha +CN beta +CN)(alpha +CN beta) (pmedian = 0.2 Torr). Their oxygen binding free energies are considerably more favorable than those of the alpha and beta subunits within the dissociated alpha beta dimer, demonstrating directly the quaternary enhancement effect, i.e., enhanced oxygen affinity at the last binding step of tetramer relative to the dissociated protomers. Oxygen binding free energies measured for the alpha subunit within the isolated (alpha beta +CN) dimer and for the beta subunit within the isolated (alpha +CN beta) dimer sum to the free energy for binding two oxygens to normal hemoglobin dimers (-16.3 +/- 0.2 versus -16.7 +/- 0.2, respectively), arguing against cooperativity in the isolated dimer. Correlations were established between cooperative free energies of the 10 cyanomet ligation microstates and the kinetics for reacting their free sulfhydryl groups.(ABSTRACT TRUNCATED AT 400 WORDS)

Chromatography, Gel↗
PubMed1992

Functional properties of human hemoglobins synthesized from recombinant mutant beta-globins.

The previous and following articles in this issue describe the recombinant synthesis of three mutant beta-globins (beta 1 Val----Ala, beta 1 Val----Met, and the addition mutation beta 1 + Met), their assembly with heme and natural alpha chains into alpha 2 beta 2 tetramers, and their X-ray crystallographic structures. Here we have measured the equilibrium and kinetic allosteric properties of these hemoglobins. Our objective has been to evaluate their utility as surrogates of normal hemoglobin from which further mutants can be made for structure-function studies. The thermodynamic linkages between cooperative oxygenation and dimer-tetramer assembly were determined from global regression analysis of multiple oxygenation isotherms measured over a range of hemoglobin concentration. Oxygen binding to the tetramers was found to be highly cooperative (maximum Hill slopes from 3.1 to 3.2), and similar patterns of O2-linked subunit assembly free energies indicated a common mode of cooperative switching at the alpha 1 beta 2 interface. The dimers were found to exhibit the same noncooperative O2 equilibrium binding properties as normal hemoglobin. The most obvious difference in oxygen equilibria between the mutant recombinant and normal hemoglobins was a slightly lowered O2 affinity. The kinetics of CO binding and O2 dissociation were measured by stopped-flow and flash photolysis techniques. Parallel studies were carried out with the mutant and normal hemoglobins in the presence and absence of organic phosphates to assess their allosteric response to phosphates. In the absence of organic phosphates, the CO-binding and O2 dissociation kinetic properties of the mutant dimers and tetramers were found to be nearly identical to those of normal hemoglobin. However, the effects of organic phosphates on CO-binding kinetic properties of the mutants were not uniform: the beta 1 + Met mutant was found to deviate somewhat from normalcy, while the beta 1 Val----Met mutant reproduced the native allosteric response. Further characterization of the allosteric properties of the beta 1 Val----Met mutant was made by measuring the pH dependence of its overall oxygen affinity by tonometry. Regulation of oxygen affinity by protons was found to be nearly identical to normal hemoglobin from pH 5.8 to 9.3 (0.52 +/- 0.07 protons released per oxygen bound at pH 7.4). The present study demonstrates that the equilibrium and kinetic functional properties of the recombinant beta 1 Val----Met mutant mimic reasonably well those of normal hemoglobin. We conclude that this mutant is well-suited to serve as a surrogate system of normal hemoglobin in the production of mutants for structure-function studies.

Allosteric Regulation↗
PubMed1992

Molecular code for cooperativity in hemoglobin.

Although tetrameric hemoglobin has been studied extensively as a prototype for understanding mechanisms of allosteric regulation, the functional and structural properties of its eight intermediate ligation forms have remained elusive. Recent experiments on the energetics of cooperativity of these intermediates, along with assignments of their quaternary structures, have revealed that the allosteric mechanism is controlled by a previously unrecognized symmetry feature: quaternary switching from form T to form R occurs whenever heme-site binding creates a tetramer with at least one ligated subunit on each dimeric half-molecule. This "symmetry rule" translates the configurational isomers of heme-site ligation into six observed switchpoints of quaternary transition. Cooperativity arises from both "concerted" quaternary switching and "sequential" modulation of binding within each quaternary form, T and R. Binding affinity is regulated through a hierarchical code of tertiary-quaternary coupling that includes the classical allosteric models as limiting cases.

Allosteric Regulation↗
PubMed1992

Mutagenic dissection of hemoglobin cooperativity: effects of amino acid alteration on subunit assembly of oxy and deoxy tetramers.

Free energies of oxygen-linked subunit assembly and cooperative interaction have been determined for 34 molecular species of human hemoglobin, which differ by amino acid alterations as a result of mutation or chemical modification at specific sites. These studies required the development of extensions to our earlier methodology. In combination with previous results they comprise a data base of 60 hemoglobin species, characterized under the same conditions. The data base was analyzed in terms of the five following issues. (1) Range and sensitivity to site modifications. Deoxy tetramers showed greater average energetic response to structural modifications than the oxy species, but the ranges are similar for the two ligation forms. (2) Structural localization of cooperative free energy. Difference free energies of dimer-tetramer assembly (oxy minus deoxy) yielded delta Gc for each hemoglobin, i.e., the free energy used for modulation of oxygen affinity over all four binding steps. A structure-energy map constructed from these results shows that the alpha 1 beta 2 interface is a unique structural location of the noncovalent bonding interactions that are energetically coupled to cooperativity. (3) Relationship of cooperativity to intrinsic binding. Oxygen binding energetics for dissociated dimers of mutants strongly indicates that cooperativity and intrinsic binding are completely decoupled by tetramer to dimer dissociation. (4) Additivity, site-site coupling and adventitious perturbations. All these are exhibited by individual-site modifications of this study. Large nonadditivity may be correlated with global (quaternary) structure change. (5) Residue position vs. chemical nature. Functional response is solely dictated by structural location for a subset of the sites, but varies with side-chain type at other sites. The current data base provides a unique framework for further analyses and modeling of fundamental issues in the structural chemistry of proteins and allosteric mechanisms.

Hemoglobins↗
PubMed1992

Regulation of oxygen affinity by quaternary enhancement: does hemoglobin Ypsilanti represent an allosteric intermediate?

Recent crystallographic studies on the mutant human hemoglobin Ypsilanti (beta 99 Asp-->Tyr) have revealed a previously unknown quaternary structure called "quaternary Y" and suggested that the new structure may represent an important intermediate in the cooperative oxygenation pathway of normal hemoglobin. Here we measure the oxygenation and subunit assembly properties of hemoglobin Ypsilanti and five additional beta 99 mutants (Asp beta 99-->Val, Gly, Asn, Ala, His) to test for consistency between their energetics and those of the intermediate species of normal hemoglobin. Overall regulation of oxygen affinity in hemoglobin Ypsilanti is found to originate entirely from 2.6 kcal of quaternary enhancement, such that the tetramer oxygenation affinity is 85-fold higher than for binding to the dissociated dimers. Equal partitioning of this regulatory energy among the four tetrameric binding steps (0.65 kcal per oxygen) leads to a noncooperative isotherm with extremely high affinity (pmedian = .14 torr). Temperature and pH studies of dimer-tetramer assembly and sulfhydryl reaction kinetics suggest that oxygenation-dependent structural changes in hemoglobin Ypsilanti are small. These properties are quite different from the recently characterized allosteric intermediate, which has two ligands bound on the same side of the alpha 1 beta 2 interface (see ref. 1 for review). The combined results do, however, support the view that quaternary Y may represent the intermediate cooperativity state of normal hemoglobin that binds the last oxygen.

Allosteric Regulation↗
PubMed1992

Weighting functions and parameter resolvability for oxygenation data subject to error in the independent variable.

Parameter resolvability and bias has been investigated for weighted nonlinear regression of data where the independent variable is subject to instrumental uncertainty. The specific example of cooperative oxygenation of hemoglobin was studied, where fractional saturation is determined spectrophotometrically and the oxygen activity is measured with a Clark polarographic electrode. For this system the instrumental uncertainty in the oxygen electrode was measured directly and the influence of the uncertainties on resolution of oxygen binding parameters was determined by Monte Carlo simulations. Four weighting functions were tested for their ability to minimize parameter uncertainty and bias: (1) uniform weighting; (2) "propagated weighting" whereby uncertainties in the independent variable are propagated into and added to uncertainties of the dependent variable; (3) Hill plot transform, or "end weighting"; and (4) maximum likelihood analysis, where deviations between fitting function and data are minimized as weighted horizontal and vertical distance vectors. Results of the Monte Carlo simulations favor the use of either uniform weighting, propagated weighting, or maximum likelihood weighting methods. Use of the Hill transform as a weighting function produced poorer parameter resolvability and inaccurate representation of the data in general. Bias error was negligible for all weighting functions.

Electrodes↗