Simultaneous versus sequential optimal design for pharmacokinetic-pharmacodynamic models with FO and FOCE considerations.

We consider nested multiple response models which are used extensively in the area of pharmacometrics. Given the conditional nature of such models, differences in predicted responses are a consequence of different assumptions about how the models interact. As such, sequential versus simultaneous and First Order (FO) versus First Order Conditional Estimation (FOCE) techniques have been explored in the literature where it was found that the sequential and FO approaches can produce biased results. It is therefore of interest to determine any design consequences between the various methods and approximations. As optimal design for nonlinear mixed effects models is dependent upon initial parameter estimates and an approximation to the expected Fisher information matrix, it is necessary to incorporate any influence of nonlinearity (or parameter-effects curvature) into our exploration. Hence, sequential versus simultaneous design with FO and FOCE considerations are compared under low, typical and high degrees of nonlinearity. Additionally, predicted standard errors of parameters are also compared to empirical estimates formed via a simulation/estimation study in NONMEM. Initially, design theory for nested multiple response models is developed and approaches mentioned above are investigated by considering a pharmacokinetic-pharmacodynamic model found in the literature. We consider design for situations where all responses are continuous and extend this methodology to the case where a response may be a discrete random variable. In particular, for a binary response pharmacodynamic model, it is conjectured that such responses will offer little information about all parameters and hence a sequential optimization, in the form of product design optimality, may yield near optimal designs.

Optimal design criteria for discrimination and estimation in nonlinear models.

Nonlinear models are common in pharmacokinetics and pharmacodynamics. To date, most work in design in this area has concentrated on parameter estimation. Here, we introduce the idea of optimization of both estimation and model selection. However, experimental designs that provide powerful discrimination between a pair of competing model structures are rarely efficient in terms of estimating the parameters under each model. Conversely, designs which are efficient for parameter estimation may not provide suitable power to discriminate between the models. Several different methods of addressing both of these objectives simultaneously are introduced in this paper and are compared to an existing optimality criterion.

Compound optimal design criteria for nonlinear models.

Three approaches for combining parameter estimation with opposing design criteria are proposed for nonlinear models. The first method discussed is the technique found in the literature and as such is the reference method for this paper. The compound crtierion is formed by maximizing a weighted product of efficiencies. The second criterion involves maximizing an opposing criterion while minimizing a defined loss function. The third method simultaneously maximizes both efficiencies with respect to parameter estimation and an opposing criterion with a multiple objective simulated annealing algorithm. The examples presented are based on a PK-model and a generalized linear model found in the literature.

Optimal designs for studying bioimpedance.

D-optimal designs for nonlinear fixed and mixed effects models are explored, and the theory is applied to the measurement and analysis of bioelectrical impedance. Bioimpedance is known to vary more at extreme frequencies than others. D-optimal designs that account for this variation, and also possible mis-specification of initial parameter estimates, are considered in an attempt to find designs that will provide good parameter estimates in practice.

Optimal crossover designs for logistic regression models in pharmacodynamics.

Pharmacodynamics (PD) is the study of the biochemical and physiological effects of drugs. The construction of optimal designs for dose-ranging trials with multiple periods is considered in this paper, where the outcome of the trial (the effect of the drug) is considered to be a binary response: the success or failure of a drug to bring about a particular change in the subject after a given amount of time. The carryover effect of each dose from one period to the next is assumed to be proportional to the direct effect. It is shown for a logistic regression model that the efficiency of optimal parallel (single-period) or crossover (two-period) design is substantially greater than a balanced design. The optimal designs are also shown to be robust to misspecification of the value of the parameters. Finally, the parallel and crossover designs are combined to provide the experimenter with greater flexibility.

Parasite plastids: maintenance and functions.

Malaria and related parasites retain a vestigial, but biosynthetically active, plastid organelle acquired far back in evolution from a red algal cell. The organelle appears to be essential for parasite transmission from cell to cell and carries the smallest known plastid genome. Why has this genome been retained? The genes it carries seem to be dedicated to the expression of just two "housekeeping" genes. We speculate that one of these, called ycf24 in plants and sufB in bacteria, is tied to an essential "dark" reaction of the organelle--fatty acid biosynthesis. "Ball-park" clues to the function of bacterial suf genes have emerged only recently and point to the areas of iron homeostasis, [Fe-S] cluster formation and oxidative stress. We present experimental evidence for a physical interaction between SufB and its putative partner SufC (ycf16). In both malaria and plants, SufC is encoded in the nucleus and specifies an ATPase that is imported into the plastid.

Effect of ethylene vinyl acetate (EVA) closed cell foam on transmitted forces in mouthguard material.

OBJECTIVES: To compare transmitted forces through ethylene vinyl acetate (EVA) mouthguard material and the same EVA material with gas inclusions in the form of a closed cell foam. METHOD: EVA mouthguard materials with and without foam gas inclusions and 4 mm thick were impacted with a constant force from an impact pendulum. Various porosity levels in the foam materials were produced by 1%, 5%, and 10% by weight foaming agent. The forces transmitted through the EVA after energy absorption by the test materials were measured with a force sensor and compared. RESULTS: Only minor non-significant differences in transmitted forces through the EVA with and without foam were shown. CONCLUSIONS: The inclusion of gas in the form of a closed cell foam in 4 mm thick EVA mouthguard materials did not improve the impact performance of the EVA mouthguard material.

SufC hydrolyzes ATP and interacts with SufB from Thermotoga maritima.

Genetic experiments in bacteria have shown the suf operon is involved in iron homeostasis and the oxidative stress response. The sufB and sufC genes that always occur together in bacteria are also found in plants, and even the malaria parasite, associated with the plastid organelle. Although the suf operon is believed to encode an iron-dependent ABC-transporter there is no direct evidence. By immunolocalization we show here that SufB and SufC are associated with the membrane of Escherichia coli. We also present kinetic studies with a recombinant version of SufC from Thermotoga maritima that shows it is an ATPase and that it interacts with SufB in vitro.

Beneficial effects of air inclusions on the performance of ethylene vinyl acetate (EVA) mouthguard material.

OBJECTIVE: To investigate the impact characteristics of an ethylene vinyl acetate (EVA) mouthguard material with regulated air inclusions, which included various air cell volumes and wall thickness between air cells. In particular, the aim was to identify the magnitude and direction of forces within the impacts. METHOD: EVA mouthguard material, 4 mm thick and with and without air inclusions, was impacted with a constant force impact pendulum with an energy of 4.4 J and a velocity of 3 m/s. Transmitted forces through the EVA material were measured using an accelerometer, which also allowed the determination of force direction and magnitude within the impacts. RESULTS: Statistically significant reductions in the transmitted forces were observed with all the air inclusion materials when compared with EVA without air inclusions. Maximum transmitted force through one air inclusion material was reduced by 32%. Force rebound was eliminated in one material, and reduced second force impulses were observed in all the air inclusion materials. CONCLUSION: The regulated air inclusions improved the impact characteristics of the EVA mouthguard material, the material most commonly used in mouthguards world wide.

Interaction between Ran and Mog1 is required for efficient nuclear protein import.

Mog1 is a nuclear protein that interacts with Ran, the Ras family GTPase that confers directionality to nuclear import and export pathways. Deletion of MOG1 in Saccharomyces cerevisiae (Deltamog1) causes temperature-sensitive growth and defects in nuclear protein import. Mog1 has previously been shown to stimulate GTP release from Ran and we demonstrate here that addition of Mog1 to either Ran-GTP or Ran-GDP results in nucleotide release and formation of a stable complex between Mog1 and nucleotide-free Ran. Moreover, MOG1 shows synthetic lethality with PRP20, the Ran guanine nucleotide exchange factor (RanGEF) that also binds nucleotide-free Ran. To probe the functional role of the Mog1-Ran interaction, we engineered mutants of yeast Mog1 and Ran that specifically disrupt their interaction both in vitro and in vivo. These mutants indicate that the interaction interface involves conserved Mog1p residues Asp(62) and Glu(65), and residue Lys(136) in yeast Ran. Mutations at these residues decrease the ability of Mog1 to bind and release nucleotide from Ran. Furthermore, the E65K-Mog1 and K136E-Ran mutations in yeast cause temperature sensitivity and mislocalization of a nuclear import reporter protein, similar to the phenotype observed for the Deltamog1 strain. Our results indicate that a primary function of Mog1 requires binding to Ran and that the Mog1-Ran interaction is necessary for efficient nuclear protein import in vivo.

Chemistry of sulforhodamine--amine conjugates.

Commercially-available sulforhodamine sulfonyl chlorides contain two isomeric monosulfonyl chlorides. Conjugates of these isomers with amines have different properties because the sulfonamide formed from one isomer can undergo ring-closure to a colorless sultam. This chemistry has been examined for a model conjugate with methylamine and for a bioconjugate with 2'(3')-O-[N-(2-aminoethyl)carbamoyl]ATP. The interaction of each isomer of the latter conjugates with myosin subfragment 1 has been characterized. Significant differences between the two isomers are observed in these interactions.

Mechanism of nucleotide release from Rho by the GDP dissociation stimulator protein.

Guanine nucleotide dissociation stimulator (GDS) promotes the release of tightly bound GDP from various Ras superfamily proteins, including RhoA, Rac1, K-Ras, Rap1A, and Rap1B. It displays no significant sequence homology to other known exchange factors for small G-proteins. Studies are reported here of the mechanism of GDS-mediated nucleotide release from RhoA using a combination of equilibrium and stopped-flow kinetic measurements, employing fluorescent N-methylanthraniloyl (mant) derivatives of GDP and 2'-deoxyGDP. It is proposed that GDS operates by an associative displacement mechanism where stimulated nucleotide release from the Rho.mantGDP complex occurs via a transiently populated ternary complex (Rho.GDS.mantGDP). In kinetic experiments where excess GDS was mixed with the Rho.mantGDP complex, stimulated mantGDP dissociation rates of 1 s(-)(1) were measured during a single turnover, representing a 5000-fold enhancement over the intrinsic rate of mantGDP dissociation from Rho. The stable, nucleotide-free binary complex Rho.GDS was isolated. When the Rho.GDS complex was mixed with excess mantGDP, a biphasic increase in fluorescence occurred, the observed rate constants of which both reached saturating values at high mantGDP concentrations. This is compelling evidence that an isomerization of the Rho.GDS.mantGDP ternary complex is an important feature of the mechanism of nucleotide release.

The effect on energy absorption of hard inserts in laminated EVA mouthguards.

One of the suggestions for using laminated mouthguards is the inclusion of hard inserts to improve mouthguard performance. However, there is a paucity of published material on the use of such inserts and this study was designed to investigate this theory. Hard layers of ethylene vinyl acetate (EVA) were included in laminated mouthguard sheets which were then subject to repeated impacts with an impact rig. Hard inserts resulted in reduced energy absorption when compared with a control sheet of the same material and approximate thickness but without the hard inserts. Additionally, the further the hard inserts were located from the impact surface, the least reduction there was on energy absorption.

The mechanism of GTP hydrolysis by dynamin II: a transient kinetic study.

Dynamin II is a 98 kDa protein (870 amino acids) required for the late stages of clathrin-mediated endocytosis. The GTPase activity of dynamin is required for its function in the budding stages of receptor-mediated endocytosis and synaptic vesicle recycling. This activity is stimulated when dynamin self-associates on multivalent binding surfaces, such as microtubules and anionic liposomes. We first investigated the oligomeric state of dynamin II by analytical ultracentrifuge sedimentation equilibrium measurements at high ionic strength and found that it was best described by a monomer-tetramer equilibrium. We then studied the intrinsic dynamin GTPase mechanism by using a combination of fluorescence stopped-flow and HPLC methods using the fluorescent analogue of GTP, mantdGTP (2'-deoxy-3'-O-(N-methylanthraniloyl) guanosine-5'-triphosphate), under the same ionic strength conditions. The results are interpreted as showing that mantdGTP binds to dynamin in a two-step mechanism. The dissociation constant of mantdGTP binding to dynamin, calculated from the ratio of the off-rate to the on-rate (k(off)/k(on)), was 0.5 microM. Cleavage of mantdGTP then occurs to mantdGDP and P(i) followed by the rapid release of mantdGDP and P(i). No evidence of reversibility of hydrolysis was observed. The cleavage step itself is the rate-limiting step in the mechanism. This mechanism more closely resembles that of the Ras family of proteins involved in cell signaling than the myosin ATPase involved in cellular motility.

Comparative single-molecule and ensemble myosin enzymology: sulfoindocyanine ATP and ADP derivatives.

Single-molecule and macroscopic reactions of fluorescent nucleotides with myosin have been compared. The single-molecule studies serve as paradigms for enzyme-catalyzed reactions and ligand-receptor interactions analyzed as individual stochastic processes. Fluorescent nucleotides, called Cy3-EDA-ATP and Cy5-EDA-ATP, were derived by coupling the dyes Cy3.29.OH and Cy5.29.OH (compounds XI and XIV, respectively, in, Bioconjug. Chem. 4:105-111)) with 2'(3')-O-[N-(2-aminoethyl)carbamoyl]ATP (EDA-ATP). The ATP(ADP) analogs were separated into their respective 2'- and 3'-O-isomers, the interconversion rate of which was 30[OH(-)] s(-1) (0.016 h(-1) at pH 7.1) at 22 degrees C. Macroscopic studies showed that 2'(3')-O-substituted nucleotides had properties similar to those of ATP and ADP in their interactions with myosin, actomyosin, and muscle fibers, although the ATP analogs did not relax muscle as well as ATP did. Significant differences in the fluorescence intensity of Cy3-nucleotide 2'- and 3'-O-isomers in free solution and when they interacted with myosin were evident. Single-molecule studies using total internal reflection fluorescence microscopy showed that reciprocal mean lifetimes of the nucleotide analogs interacting with myosin filaments were one- to severalfold greater than predicted from macroscopic data. Kinetic and equilibrium data of nucleotide-(acto)myosin interactions derived from single-molecule microscopy now have a biochemical and physiological framework. This is important for single-molecule mechanical studies of motor proteins.

Distances between DNA and ATP binding sites in the TyrR-DNA complex.

The Escherichia coli regulatory protein TyrR controls the expression of eight transcription units that encode proteins involved in the biosynthesis and transport of aromatic amino acids. It binds to DNA as a homodimer with a subunit molecular mass of 57 640 Da, each of which has a single site for the binding of ATP within a central structural domain. This paper reports distances between four sites on the DNA and the ATP binding site as determined by fluorescence resonance energy transfer. The DNA was a 30mer containing a centrally located binding site for TyrR. Replacement of a thymidine residue with an aminouridine residue at positions -9, -7, -3, and 2 of the palindromic oligonucleotide sequence enabled the placement of a single fluorescein group along the major groove of the DNA. The energy transfer acceptor was ATP labeled with a rhodamine group through positions 2' and 3' of the ribose, positions that are known to cause minimal interference with the binding of ATP to protein. The dissociation constant for the binding of rhodamine-ATP to TyrR was 300 nM as determined by steady-state fluorescence anisotropy titrations. The energy transfer efficiencies were determined by measuring the level of quenching of donor fluorescence on binding rhodamine-ATP to the TyrR-DNA complex. The experimental transfer efficiencies were compared to theoretical values calculated for a model of the DNA-TyrR complex in which the position of the ATP binding site was allowed to vary over the surface of the monomer unit. Theory was written to account for the transfer from one donor to two acceptors, one on each monomer unit of the TyrR dimer. The results indicate that the ATP binding site is about 40-45 A from the nearest point on the DNA and distant from the DNA helix-turn-helix binding domain. The effects of ATP binding of (i) increasing the TyrR binding affinity by a factor of 4-5 and (ii) permitting the binding of the tyrosine corepressor must therefore occur because of a significant allosteric change in the conformation of the protein.

Crystal structure and functional analysis of Ras binding to its effector phosphoinositide 3-kinase gamma.

Ras activation of phosphoinositide 3-kinase (PI3K) is important for survival of transformed cells. We find that PI3Kgamma is strongly and directly activated by H-Ras G12V in vivo or by GTPgammaS-loaded H-Ras in vitro. We have determined a crystal structure of a PI3Kgamma/Ras.GMPPNP complex. A critical loop in the Ras binding domain positions Ras so that it uses its switch I and switch II regions to bind PI3Kgamma. Mutagenesis shows that interactions with both regions are essential for binding PI3Kgamma. Ras also forms a direct contact with the PI3Kgamma catalytic domain. These unique Ras/PI3Kgamma interactions are likely to be shared by PI3Kalpha. The complex with Ras shows a change in the PI3K conformation that may represent an allosteric component of Ras activation.

Magnesium fluoride-dependent binding of small G proteins to their GTPase-activating proteins.

GTPase-activating proteins (GAPs) enhance the intrinsic GTPase activity of small G proteins, such as Ras and Rho, by contributing a catalytic arginine to the active site. An intramolecular arginine plays a similar role in heterotrimeric G proteins. Aluminum fluoride activates the GDP form of heterotrimeric G proteins, and enhances binding of the GDP form of small G proteins to their GAPs. The resultant complexes have been interpreted as analogues of the transition state of the hydrolytic reaction. Here, equilibrium binding has been measured using scintillation proximity assays to provide quantitative information on the fluoride-mediated interaction of Ras and Rho proteins with their respective GAPs, neurofibromin (NF1) and RhoGAP. High-affinity fluoride-mediated complex formation between Rho.GDP and RhoGAP occurred in the absence of aluminum; however, under these conditions, magnesium was required. Additionally, the novel observation was made of magnesium-dependent, fluoride-mediated binding of Ras.GDP to NF1 in the absence of aluminum. Aluminum was required for complex formation when the concentration of magnesium was low. Thus, either aluminum fluoride or magnesium fluoride can mediate the high-affinity binding of Rho. GDP or Ras.GDP to GAPs. It has been reported that magnesium fluoride can activate heterotrimeric G proteins. Thus, magnesium-dependent fluoride effects might be a general phenomenon with G proteins. Moreover, these data suggest that some protein.nucleotide complexes previously reported to contain aluminum fluoride may in fact contain magnesium fluoride.