Analysis of compartmental models of ligand-induced endocytosis

Kinetic models have played a pivotal role in the study of ligand-induced endocytosis. However, an analysis that suggests a systematic way to validate such models is lacking. The current work analyses the base model of ligand-induced endocytosis for three widely used experimental protocols. In protocol I cells initially devoid of ligand are incubated in ligand solution, whereas protocols II and III are desorption experiments in which an initial pool of surface or internalized ligand-receptor complexes, respectively, are released into an elution medium that is initially devoid of ligand. A short-time analysis of protocol I using successive substitutions yielded a corrected pre-factor for the In/Sur plot introduced by Wiley and Cunningham (Cell 25 (1981) 433). In contrast, neglecting the variation in receptor numbers yielded an approximation of protocol I that is valid for long times (e.g. tens of minutes). Similarly, the low cell-concentration limits of protocols II and III are derived by neglecting the concentration of free ligand. The simplicity of these approximations provides a simple and reliable method for estimating the parameters governing ligand kinetics, while their definitive nature implies that they can be used to verify the validity of the base model. This analysis also provides insight on the fast endocytosis and recycling limit of protocol III.     

Dysfunction of regulatory volume increase is a key component of apoptosis

Sustained cell shrinkage is a major hallmark of apoptotic cell death. In apoptotic cells, whole cell volume reduction, called apoptotic volume decrease (AVD), proceeds until fragmentation of cells. Under non-apoptotic conditions, human epithelial HeLa cells exhibited a slow regulatory volume increase (RVI) after osmotic shrinkage induced by exposure to hypertonic solution. When AVD was induced by treatment with a Fas ligand, TNF-alpha or staurosporine, however, it was found that HeLa cells failed to undergo RVI. When RVI was inhibited by combined application of Na+/H+ exchanger (NHE) and anion exchanger blockers, hypertonic stress induced prolonged shrinkage followed by caspase-3 activation in HeLa cells. Hypertonicity also induced apoptosis in NHE1-deficient PS120 fibroblasts, which lack the RVI response. When RVI was restored by transfection of these cells with NHE1, hypertonicity-induced apoptosis was completely prevented. Thus, it is concluded that RVI dysfunction is indispensable for the persistence of AVD and induction of apoptosis.     

Protein-ligand dynamics. A 96 picosecond simulation of a myoglobin-xenon complex

A 96 picosecond dynamics trajectory of myoglobin with five xenon-probe ligands in internal cavities is examined to study the effect of protein motions on ligand motion and internal cavity fluctuations. Average structural and energetic properties indicate that the simulation is well behaved. The average protein volume is similar to the volume of the X-ray model and the main-chain atom root-mean-square deviation between the X-ray model and the average dynamical structure is 1.25 A. The protein volume oscillates 3 to 4% around the volume of the X-ray structure. These fluctuations lead to changes in the internal free volume and in the size, shape and location of atom-sized cavity features. Transient cavities produced in the simulation have a crucial role in the movement of two of the ligands. One of the ligands escapes to the protein surface, whilst a second ligand travels through the protein interior. Complex gating processes involving several protein residues are responsible for producing the necessary pores through which the ligand passes between transient cavities or packing defects.     

Volume of Hsp90 ligand binding and the unfolding phase diagram as a function of pressure and temperature

Volume changes that accompany protein unfolding and ligand binding are important but largely neglected thermodynamic parameters that may facilitate rational drug design. Here, we determined the volume of lead compound ICPD47 binding to an anticancer target, heat shock protein 90 N-terminal domain, using a pressure shift assay (PressureFluor). The ligand exhibited a stabilizing effect on the protein by increasing its melting pressure and temperature. The Gibbs free energy of unfolding depends on the absence or presence of ligand and has an elliptical shape. Ellipse size increases upon addition of the strongly binding ligand, which stabilizes the protein. The three-dimensional (3D) ellipsoidal surface of the Gibbs free energy of unfolding was calculated with increasing ligand concentrations. The negative volume of ligand binding was relatively large and significantly exceeded the volume of protein unfolding. The pressure shift assay technique could be used to determine the volume changes associated with both protein unfolding as well as ligand binding to protein.     

Time-dependent ligand current into a saturating cell performing chemoreception

We determine the ligand current into a single spherical cell whose receptors become permanently blocked after binding ligands. Initially the cell is placed in a medium which contains ligands at uniform concentration. The analytical solution for the ligand distribution is obtained in terms of an integral over the solution at the cell surface. For the solution at the cell surface a nonlinear integral equation is derived which is solved numerically. We determine the time-dependent ligand current into the cell and the average number of free receptors in the cell surface as a function of time.     

Automated measurement of the static light scattering of macromolecular solutions over a broad range of concentrations

A method and apparatus for automated measurement of the concentration dependence of static light scattering of protein solutions over a broad range of concentrations is described. The gradient of protein concentrations is created by successive dilutions of an initially concentrated solution contained within the scattering measurement cell, which is maintained at constant total volume. The method is validated by measurement of the concentration dependence of light scattering of bovine serum albumin, ovalbumin, and ovomucoid at concentrations up to 130 g/L. The experimentally obtained concentration dependence of scattering obtained from all three proteins is quantitatively consistent with the assumption that no significant self-association occurs over the measured range of concentrations.     

The structural basis for molecular recognition by the vitamin B 12 RNA aptamer

Previous solution structures of ligand-binding RNA aptamers have shown that molecular recognition is achieved by the folding of an initially unstructured RNA around its cognate ligand, coupling the processes of RNA folding and binding. The 3 A crystal structure of the cyanocobalamin (vitamin B12) aptamer reported here suggests a different approach to molecular recognition in which elements of RNA secondary structure combine to create a solvent-accessible docking surface for a large, complex ligand. Central to this structure is a locally folding RNA triplex, stabilized by a novel three-stranded zipper. Perpendicular stacking of a duplex on this triplex creates a cleft that functions as the vitamin B12 binding site. Complementary packing of hydrophobic surfaces, direct hydrogen bonding and dipolar interactions between the ligand and the RNA appear to contribute to binding. The nature of the interactions that stabilize complex formation and the possible uncoupling of folding and binding for this RNA suggest a strong mechanistic similarity to typical protein-ligand complexes.     

Binding of multivalent ligands to mobile receptors in membranes

We present a model to describe the equilibrium binding properties for the attachment of multivalent ligands to mobile receptors in membranes. The interaction is assumed to be governed by two inherently different association constants. The first of these controls the initial attachment of a ligand to its first receptor, by adsorption from bulk solution, while the second governs subsequent receptor attachments to this initially bound ligand by rearrangement of membrane-bound species. Simple statistical mechanical expressions are used to estimate contributions to these association constants that are attributable to losses of translational and rotational degrees of freedom occurring upon binding. Suitable combinatorial expressions are combined with these association constants to derive the concentrations of bound species and the binding isotherms. Examination of these expressions leads to the conclusion that once initially bound, most multivalent ligands will be completely saturated by receptors and that partially bound species will be essentially nonexistent. This behavior is attributable to the generally high overall affinities of these ligands and to the mobility of the membrane-bound species. Some specific comments are made, in light of this theory, about the binding of cholera toxin to its membrane receptor, the ganglioside G_M1.     

Evaluation of quantitative affinity chromatography by comparison with kinetic and equilibrium dialysis methods for the analysis of nucleotide binding to staphylococcal nuclease.

The elution of staphylococcal nuclease on thymidine 3'-(p-Sepharose-aminophenyl phosphate) 5'-phosphate (nucleotide ligand of nuclease covalently bound to Sepharose 4B) was studied in the presence of a variety of soluble nucleotide ligands. The elution volumes of nuclease vary proportionally with matrix-bound ligand concentration (at constant soluble ligand concentration), inversely with soluble ligand concentration (at constant matrix-bound ligand concentration), and inversely with dissociation constant of soluble ligand (at constant concentrations of soluble and matrix-bound ligand). The variation of elution volume was related to an expression which described the competition of soluble and matrix-bound ligand for nuclease binding. Using this expression, values for dissociation constants were derived for nucleotide ligands in both the soluble and bound form. The values for soluble ligand were found to correspond closely to those obtained by either equilibrium dialysis or kinetics of inhibition of nuclease activity. Furthermore, a close correspondence was found between the values of dissocation constants for matrix-bound and soluble thymidine 3'-(p-aminophenyl phosphate) 5'-phosphate, thus defining the interaction of nuclease with the matrix-bound ligand as a process quite similar to that occurring in solution.     

Computer simulated evolution of a network of cell-signaling molecules.

We have trained a computer model of a simple cell-signaling pathway to give specified responses to a pulse of an extracellular ligand. The pathway consists of two initially identical membrane receptors, each of which relays the concentration of the ligand to the level of phosphorylation of an intracellular molecule. Application of random "mutational" changes to the rate constants of the pathway, followed by selection in favor of certain outputs, generates a variety of wave forms and dose-response curves. The phenotypic effect of mutations and the frequency of selection both affect the efficiency with which the pathway achieves its target. When the pathway is trained to give a maximal response at a specific concentration of the stimulating ligand, it gives a consistent pattern of changes in which the two receptors diverge, producing a high-affinity form with excitatory output and a low-affinity form with inhibitory output. We suggest that some high- and low-affinity forms of receptors found in present-day cells might have originated by a similar process.     

The kinetics and mechanisms of the reactions of iron(III) with quercetin and morin

The kinetics and mechanisms of the reactions of a pseudo-first order excess of iron(III) with the flavonoids quercetin and morin have been investigated in aqueous solution at 25 degrees C and an ionic strength of 0.5M. Mechanisms have been proposed which account satisfactorily for the kinetic data. The data are consistent with a mechanism in which the metal:ligand complex formed initially on reaction of iron(III) with the ligand subsequently decomposes through an electron transfer step. Morin forms a 1:1 metal:ligand complex while quercetin forms a 2:1 metal:ligand complex. Both ligands showed evidence for the involvement of the iron hydroxo dimer Fe2(OH)2(4+) in the complex formation reaction at the hydroxy-carbonyl moiety. The iron(III) assisted decomposition of the initial iron(III) complex formed was also investigated and the rate constants evaluated. Both the complex formation and subsequent electron transfer reactions of iron(III) with these ligands were monitored using UV-visible spectrophotometry. All of the suggested mechanisms and calculated rate constants are supported by calculations carried out using global analysis of time dependant spectra.     

Volume and enthalpy profiles of CO binding to Fe(II) tetrakis-(4-sulfonatophenyl)porphyrin.

The focus of this study is to examine volume and enthalpy profiles of ligand binding associated with CO-Fe(II) tetrakis-(4-sulfonato phenyl)-porphyrin (COFe(II)4SP) in aqueous solution. Temperature dependent photothermal beam deflection was employed to probe the overall enthalpy and volume changes associated with CO-photolysis and recombination. The analysis demonstrates that ligand recombination occurs with a pseudo first order rate constant of (2.5+/-0.2)x10(4) s(-1) (at 25 degrees C) with a corresponding volume decrease of 6+/-1 ml/mol. The activation enthalpy (DeltaH(double dagger)) and volume (DeltaV(double dagger)) change for CO recombination (determined from temperature/pressure dependent transient absorption spectroscopy) are found to be 3.9 kcal/mol and 8.2 ml/mol, respectively. These data are consistent with a mechanism in which photolysis yields a five-coordinate high spin (H(2)O)Fe(II)4SP complex that recombines in a single step to form the low spin (CO)(H(2)O)Fe(II)4SP complex. Base elimination, often associated with CO photolysis from hemes, is not observed in this system. The overall volume changes suggest a transition state with significant high spin character. Furthermore, these results demonstrate the utility of coupling photothermal techniques with variable pressure/temperature transient absorption spectroscopy to probe heme reaction dynamics.     

Anticooperative ligand binding properties of recombinant ferric Vitreoscilla homodimeric hemoglobin: a thermodynamic, kinetic and X-ray crystallographic study.

Thermodynamics and kinetics for cyanide, azide, thiocyanate and imidazole binding to recombinant ferric Vitreoscilla sp. homodimeric hemoglobin (Vitreoscilla Hb) have been determined at pH 6.4 and 7.0, and 20.0 degrees C, in solution and in the crystalline state. Moreover, the three-dimensional structures of the diligated thiocyanate and imidazole derivatives of recombinant ferric Vitreoscilla Hb have been determined by X-ray crystallography at 1.8 A (Rfactor=19.9%) and 2.1 A (Rfactor=23.8%) resolution, respectively. Ferric Vitreoscilla Hb displays an anticooperative ligand binding behaviour in solution. This very unusual feature can only be accounted for by assuming ligand-linked conformational changes in the monoligated species, which lead to the observed 300-fold decrease in the affinity of cyanide, azide, thiocyanate and imidazole for the monoligated ferric Vitreoscilla Hb with respect to that of the fully unligated homodimer. In the crystalline state, thermodynamics for azide and imidazole binding to ferric Vitreoscilla Hb may be described as a simple process with an overall ligand affinity for the homodimer corresponding to that for diligation in solution. These data suggest that the ligand-free homodimer, observed in the crystalline state, is constrained in a low affinity conformation whose ligand binding properties closely resemble those of the monoligated species in solution. From the kinetic viewpoint, anticooperativity is reflected by the 300-fold decrease of the second-order rate constant for cyanide and imidazole binding to the monoligated ferric Vitreoscilla Hb with respect to that for ligand association to the ligand-free homodimer in solution. On the other hand, values of the first-order rate constant for cyanide and imidazole dissociation from the diligated and monoligated derivatives of ferric Vitreoscilla Hb in solution are closely similar. As a whole, ligand binding and structural properties of ferric Vitreoscilla Hb appear to be unique among all Hbs investigated to date.     

Variation of protein binding cavity volume and ligand volume in protein–ligand complexes

We have systematically analyzed the variation of protein binding cavity volume of 200 protein–ligand complexes belonging to eight protein families. Wide variation in protein binding cavity volume for the same protein is observed on binding different ligands. Analysis of individual protein families shows high correlation between atom–atom interactions in binding site and ligand volume. This study implies the significance of protein flexibility in docking small molecule inhibitors on the basis of protein binding cavity volume with respect to ligand volume.     

Affinity purification of fibrinogen using a ligand from a peptide library.

An affinity resin containing the peptide ligand Phe-Leu-Leu-Val-Pro-Leu (FLLVPL) has been developed for the purification of fibrinogen. The ligand was identified by screening a solid-phase combinatorial peptide library using an immunostaining technique. The specific binding of fibrinogen to the ligand has been characterized by isothermal calorimetry and adsorption isotherms and is dominated by both hydrophobic interactions and ionic interactions with the N-terminal free amino group. The effective association constant of fibrinogen was substantially higher when the peptide was immobilized on the resin than in solution; moreover, it increased with increasing peptide density, suggesting a cooperative binding effect. A low ionic strength buffer at pH 4 was used successfully to elute adsorbed fibrinogen from the column with high purity, retention of factor XIII crosslinking activity, and minimal, if any, loss of biological function. This general approach to ligand selection and characterization can be used to develop peptide ligands for the affinity purification of diverse proteins on a large scale.     

Spectrophotometric estimation of cobalt with ninhydrin

A violet coloured complex was developed when cobalt metal reacts with ninhydrin at pH 8.2, using sodium acetate buffer solution. Absorbance of the complex was measured at 395 nm. Various factors, such as volume of the ligand used, solution pH, stability of the complex with time and interference of other metals, which effect the complex formation have been studied in detail. Present developed method can be used for the spectrophotometric estimation of cobalt with ninhydrin complex. The method is simple, selective and cheap for the determination of cobalt in very less time.     

NMR structure of the unliganded Bombyx mori pheromone-binding protein at physiological pH

The nuclear magnetic resonance structure of the unliganded pheromone-binding protein (PBP) from Bombyx mori at pH above 6.5, BmPBP(B), consists of seven helices with residues 3-8, 16-22, 29-32, 46-59, 70-79, 84-100, and 107-124, and contains the three disulfide bridges 19-54, 50-108, and 97-117. This polypeptide fold encloses a large hydrophobic cavity, with a sufficient volume to accommodate the natural ligand bombykol. The polypeptide folds in free BmPBP(B) and in crystals of a BmPBP-bombykol complex are nearly identical, indicating that the B-form of BmPBP in solution represents the active conformation for ligand binding.     

Analytical solution for the extremums of cell water volume and cell volume using a two-parameter model

Based on a two-parameter model [Cryobiology 37 (1998) 271-289], the analytical solution for the extremums of cell water volume and cell volume for a two-solute system are obtained. Compared with the numerical solution, the analytical solution offers an accurate but simple choice. The approximate solution [Cryobiology 40 (2000) 64-83] for the extremum of cell water volume is also discussed, the reason for the deviation is presented.     

Protein-ligand binding studies with a table-top,air-driven,high-speed centrifuge

Procedures developed earlier for the ultracentrifuge in order to study the binding of low molecular weight ligands to proteins have been adapted for use with a relatively inexpensive, table-top, air-driven centrifuge known as the Airfuge. This instrument, which holds six plastic tubes with a total capacity of 1 ml, generates such high centrifugal fields (up to 160,000 times that of gravity) that proteins are readily sedimented to the bottom of the tubes, leaving unbound ligand in the supernatant. Hence, direct sampling and analysis of the solution at the conclusion of the centrifuge experiment and knowledge of the total concentration of ligand permit a quantitative determination of the amount of ligand bound to the protein. The method depends on the use of dextran in the solution in order to provide density stabilization and prevent serious convective stirring of the contents of the tubes during the deceleration of the rotor. Two systems were studied as a test of the technique and it was found that the centrifuge method yields results comparable to those obtained by equilibrium dialysis. With aspartate transcarbamoylase and CTP, conditions were obtained (100,000 rpm for 30 min) such that the enzyme and enzyme-CTP complexes were sedimented rapidly to the bottom of the tubes, leaving free CTP distributed throughout the solution. In contrast to this sedimentation velocity experiment, studies were also made with RNase and 5′-AMP. The procedure for this system involves sedimentation equilibrium and the protein, although not completely removed from the top of the solution, is distributed predominantly at the bottom of the tubes as unbound ligand remains in the supernatant. For such systems, it is possible to estimate theoretically the effects of the size of the ligand and it is shown that re-equilibration causes only minor complications for ligands of molecular weight less than 1000. The method is simple, uses only small amounts of proteins and ligands, requires only short times for proteins of molecular weight about 10⁵, and shows promise of providing binding data with an accuracy comparable to other techniques.