Electric properties and structure of DNA-restriction fragments from measurements of the electric dichroism

The electric dichroism of 17 homogeneous DNA fragments, ranging in size from 43 to 4362 base-pairs, has been analyzed in high electric fields. The orientation of the small fragments can be described in terms of an induced dipole moment, whereas the large fragments are oriented according to a constant dipole mechanism. In the intermediate size range, DNA orients according to an induced dipole mechanism at low field strengths and according to a constant dipole mechanism at high field strengths. From these observations we propose an orientation mechanism with a saturating induced dipole. The induced dipole observed at low field strengths is saturated at a field strength Eo within a transition range Em to give a constant dipole moment at high field strengths. These parameters together with the polarizability and the limit reduced dichroism are evaluated by a least-squares analysis of the experimental data. Eo and Em are found to decrease with increasing chain length from Eo approximately 40 kV/cm (Em approximately 14 kV/cm) at 65 base-pairs to 10 kV/cm (6 kV/cm) at 194 base-pairs. The polarizability is found to increase with the square of the chain length, whereas the saturated dipole increases with chain length N at low N and goes to a limit value at high N. The temperature dependence of the orientation parameters is found to be very small. The values obtained for the limit dichroism are between -1.0 and -1.3 for chain lengths between 60 and 1000 base-pairs, whereas values around -1.4 are observed at chain lengths greater than 1000 base-pairs. These data indicate that electric fields extend the contour of DNA strands at high chain lengths from a weakly bent to a more linear form. The variations of the limit dichroism observed for short fragments suggest sequence-dependent differences in the secondary structure of the helix. The experimental results are compared with numerical calculations based on simple polyelectrolyte models. For short fragments the magnitude of several electrochemical parameters can be adequately explained by a polarization of the ion cloud around the DNA molecules. However, these polyelectrolyte models do not adequately describe the observed chain length dependence of the orientation phenomena.     

Interactions of nucleic acid double helices induced by electric field pulses

Electric field pulses induce a substantial increase of the light scattering intensity of double-helical DNA. The relative change of light scattering and also the reciprocal relaxation time constants under electric field pulses increase with increasing nucleotide concentration. These observations, together with a large difference between dichroism orientation time constants and light scattering time constants under electric field pulses, demonstrate that the main part of the light scattering effect is due not to field-induced orientation but to interactions between DNA helices. From the concentration dependence of the light scattering time constants we obtain, according to an isodesmic reaction model, association rate constants in the range 3 × 10¹⁰ M^?1 helices s^?1 for DNA with approx. 300 base-pairs. These values are at the limit of a diffusion-controlled DNA association and do not show any dependence upon the field strength. The dissociation rate constants k_d decrease strongly with increasing field strength E and thus demonstrate that the interactions between the helices are induced by the electric field. This conclusion is consistent with independent measurements which do not reveal any DNA association at zero field strength. The observed linear relation between log(k_d) and E² suggests a field-induced reaction driven by dipole changes. According to this interpretation the change of dipole moment should be in the range of approx. 1400 debye. The dissociation rates for DNA helices with approx. 300 to approx. 800 base-pairs strongly increase with increasing sail concentration (measured in the range 1–5 mM ionic strength), whereas the association rate constants remain virtually unchanged. Measurements of the linear dichroism in the same range of DNA chain length demonstrate that for long field pulses of e.g., 40 μs, the amplitude approaches a maximum value and then decreases. The dichroism relaxation curves observed after long field pulses exhibit a component with a positive dichroism and an increased decay time. These observations suggest the formation of a DNA aggregate with an unusual arrangement of the bases.     

Orientation relaxation of DNA restriction fragments and the internal mobility of the double helix

The orientation relaxation of 15 DNA restriction fragments (43-4361 base-pairs) is characterized by measurements of linear dichroism using high electric field pulses. The off-field relaxation of fragments of 84 base-pairs or less can be described by single exponentials, which are related to the transverse rotational diffusion of the helix. Fragments of 95 base-pairs or greater exhibit an additional fast component with time constants around 100 ns for fragments of approx. 100 base-pairs, increasing with chain length to about 700 ns for a fragment with 258 base-pairs. The amplitude of this process increases from virtually zero at low fields (approximately equal to 10 kV) to a substantial limit contribution at high fields. According to these results, we suggest that electric fields induce stretching of the DNA fragments from a weakly bent to a more straight form and that the fast component reflects the internal mobility of the DNA chain. The slow off-field components of the orientation are discussed in terms of different models. The data up to helix lengths of about 400 base-pairs can be described by the 'weakly bending rod' model from Hearst using 3.4 A rise per base-pair and 13 A axial radius of the helix. Both the weakly bending rod according to Hearst and the 'wormlike chain' according to Hagerman and Zimm provide a persistence length of 500 A. The on-field relaxation is slower than the corresponding off-field process at low field strengths, but the on-field process is accelerated substantially at high electric fields. These observations are compared with model calculations of Schwarz.     

A small DNA restriction fragment with an apparent permanent dipole moment

The electric birefringence of two DNA restriction fragments, each containing 147 base-pairs, has been investigated. The decay of the birefringence was the same for the two fragments, with a relaxation time corresponding to the reorientation of fully extended, rod-like molecules. However, the birefringence saturation behavior of the two fragments was markedly different: one fragment oriented by the expected induced-dipole mechanism, while orientation of the other fragment followed the theoretical curve for permanent dipole orientation. This difference in behavior must be due to differences in the base-pair sequences of the two fragments.     

Polarized fluorescence in an electric field: comparison with other electrooptical effects for rodlike fragments of DNA and the problem of the saturation of the induced moment in polyelectrolytes

Electrical birefringence, electrical dichroism and polarisation of fluorescence in an electric field experiments have been performed at high fields on sonicated fragments of DNA labelled with Acridine Orange. The latter electrooptical effect gives access to the field dependence of the fourth moment of the orientation function while the two former give access to the field dependence of the second moment. The origin of the large departure from an E2 dependence at rather low degrees of orientation is extensively discussed. Following a suggestion of Shirai on the calculation of orientational averages for a saturated induced moment, we can show that this model rationalizes the existence of a linear E dependence of the orientation factor at intermediate fields and explains very well our experimental results. When applied to previous dichroic data at higher fields it shows that the low value of the dichroism at saturation introduced to fit with other models, in contradiction with the absence of base tilting in the B form of DNA, is not required for a quantitative fit with this new orientation mechanism. The transition from an E2 dependence at low fields to an E dependence at intermediate fields gives an estimate of the field required for the saturation of the ionic polarisation E approximately 6 kV/cm.     

Global structure and flexibility of hairpin ribozymes with extended terminal helices.

Global structure and flexibility of three different hairpin ribozyme constructs have been analyzed by measuring their electric dichroism decay in various buffers at temperatures between 2 and 30 degrees C. The hairpin ribozyme is characterized by two independently folding domains A and B that are connected through a hinge and have to interact to enable catalysis. The analyzed constructs feature extended terminal helices 1 and 4 with 27 and 25 bp, respectively, to increase the sensitivity of the molecular rotational diffusion time constants with respect to the interdomain bending angle. Constructs HP1 and HP2 cannot cleave because of a G+1A change at the 3'-side of the cleavage site; in HP1 the helices 2 and 3 that flank the hinge form a continuous double helical segment; in HP2 and HP3, a six nucleotide bulge confers flexibility to the expected bending site; HP3 is a cleavable form of HP2 with a G+1-base. For comparison, a standard RNA double helix with 72 bp was included in our analysis. The dichroism decay curves of the hairpin constructs after pulses of low electric field strengths can be fitted to single exponentials taus, whereas the curves after pulses of high field strengths require two exponentials. In all cases, time constants increase with RNA concentration, indicating intermolecular interactions. Extrapolation of the tausvalues measured in standard buffer (50 mM Tris (pH 7.5) and 12 mM MgCl2) to zero RNA concentration provide values of 112, 93, and 73 ns for HP1, HP2 and HP3, respectively, at 30 degrees C, indicating increasingly compact structures. The 72 bp RNA reference under corresponding conditions did not show a dependence of its decay time constant on the RNA concentration nor on the field strength; its time constant is 175 ns (standard buffer, 30 degrees C). The observation of two relaxation processes for the hairpin constructs at high field strengths indicates stretching to a more elongated state; the fast process with a time constant of the order of 50 ns is assigned to reversion of stretching, the slow process to overall rotation. The overall rotational time of the stretched state at 20 degrees C is close to that for a completely stretched rigid state; at 30 degrees C the experimental values are around 70 % of that expected for a completely stretched rigid state, indicating flexibility and/or residual bending. Bead models were constructed to simulate dichroism decay curves. The time constants observed for the 72 bp RNA are as expected for a rigid rod with a rise of 2.8 A per base-pair. Based on this rise per base-pair for models of a V and a Y-shape, we estimate average bending angles of 80(+/-20) degrees and 105 (+/-25) degrees, respectively, for the catalytically active hairpin ribozyme HP3. The energy required for stretching is of the order of the thermal energy.     

Conformational flexibility of membrane proteins in electric fields. I. Ultraviolet absorbance and light scattering of bacteriorhodopsin in purple membranes

Bacteriorhodopsin of halobacterial purple membranes exhibits conformational flexibility in high electric field pulses (1-30 x 10(5) V m(-1), 1-100 micros). High-field electric dichroism data of purple membrane suspensions indicate two kinetically different structural transitions within the protein; involving a rapid (approximately 1 micros) concerted change in the orientation of both retinal and tyrosine and/or tryptophan side chains concomitant with alterations in the local protein environment of these chromophores. as well as slower changes (approximately 100 micros) of the microenvironment of aromatic amino acid residues concomitant with pK changes in at least two types of proton-binding sites. Light scattering data are consistent with the maintenance of the random distribution of the membrane discs within the short duration of the applied electric fields. The kinetics of the electro-optic signals and the steep dependence of the relaxation amplitudes on the electric field strength suggest a saturable induced-dipole mechanism and a rather large reaction dipole moment of 1.1 x 10(-25) C m ( = 3.3 x 10(4) debye) per cooperative unit at E = 1.3 x 10(5) V m(-1), which is indicative of appreciable cooperativity in the probably unidirectional transversal displacement of ionic groups on the surfaces of and within the bacteriorhodopsin proteins of the membrane lattice. The electro-optic data of bacteriorhodopsin are suggestive of a possibly general, induced-dipole mechanism for electric field-dependent structural changes in membrane transport proteins such as the gating proteins in excitable membranes or the ATP synthetases.     

Towards a mechanism of function of the viral ion channel Vpu from HIV-1

Vpu, an integral membrane protein encoded in HIV-1, is implicated in the release of new virus particles from infected cells, presumably mediated by ion channel activity of homo-oligomeric Vpu bundles. Reconstitution of both full length Vpu(1-81) and a short, the transmembrane (TM) domain comprising peptide Vpu(1-32) into bilayers under a constant electric field results in an asymmetric orientation of those channels. For both cases, channel activity with similar kinetics is observed. Channels can open and remain open within a broad series of conductance states even if a small or no electric potential is applied. The mean open time for Vpu peptide channels is voltage-independent. The rate of channel opening shows a biphasic voltage activation, implicating that the gating is influenced by the interaction of the dipole moments of the TM helices with an electric field.     

Electric birefringence of poly-L-lysine hydrobromide in methanol-water mixtures and helix-coil transition induced by high electric fields

The electric birefringence of poly-L -lysine hydrobromide in methanol–water mixtures has been measured at 25 °C over a wide range of field strengths by use of the rectangular pulse technique. An abrupt change in the specific Kerr constant was observed between 87 and 90 vol % methanol, corresponding to the solvent-induced helix–coil transition. The specific Kerr constant increased rapidly with dilution in the random coil form, and more slowly in the helical conformation. The field strength dependence of the bire fringence at various concentrations, for both the helical and coil conformations, can be described by a common orientation function, which resembles the theoretical one for the case of permanent dipole moment orientation. This is interpreted in terms of the saturation of ion–atmosphere polarization. The optical anisotropy for the helical conformation was much larger than that for the coil form. Anomalous birefringence signals were observed above a critical field strength (about 5 kV/cm) in 90 vol % methanol. The birefringence passed through a maximum and began to decrease slowly before the pulse terminated, reaching a steady-state value. This steady-state value was closer to that of the coil in the coil in the limit of very high fields. The results indicate that a transition from the charged helix to the charged coil is induced by high electric fields in the transition region. This effect can be explained on the basis of the polarization mechanism proposed by Neumann and Katchalasky.     

Electric birefringence of polytetrafluoroethylene particles in agarose gels

Electric birefringence studies of strongly elongated, rod-like particles of polytetrafluoroethylene (PTFE) in agarose gels show that the negative effect observed by semi-diluted aqueous suspensions at low frequencies and at low electric field strengths (the so called "anomaly') disappears. The absolute value of the low frequency effect increases 3-4 times and the amplitude of modulation decreases faster compared to that of the suspensions. This together with decreased decay relaxation times in gels make the possibilty that the PTFE particles orientation in gels is not due to dipolar but to electrophoretic orientation mechanism quite probable. Similar change in the orientation mechanism could be expected also for suspensions of higher concentrations. The further elucidation of the orientation mechanism using fractions with lower polydispersity, broader ranges of experimental conditions (particle concentration, ionic strength and composition, electric field strengths, frequencies, etc.) could be interest for several fields: colloid electro-optics and especially that of concentrated colloids, pulsed field gel electrophoresis of DNA (and especially its sinusoidal biased field variant) and of nucleoprotein complexes and for the gel research.     

Thresholds in field-induced reactions of linear biopolymers: Strong chain-length dependence of field effects in DNA

We have analysed the field-induced conformation change of DNA by absorbance measurements at the magic angle. Conformation changes are observed when the electric field strength exceeds a clearly defined threshold value. The threshold values increase with increasing salt concentration and show a linear dependence upon the logarithm of the ionic strength. Measurements with homogeneous DNA samples of different chain lengths N show that the threshold increases with decreasing N; at a given ionic strength the threshold is a linear function of the logarithm of N. The threshold value observed for a circular DNA molecule with a chain length N_c fits to these data with an effective length N_c/2. This result indicates that the length of maximal extension is important for the field-induced reaction and suggests, together with the other results, that the field-induced reaction is mainly driven by a polarization of the ion atmosphere along the axis of DNA, Some data are also given for the dynamics of the reaction: at high electric field pulses the first step is a fast deslacking and lilting of the bases followed by a slow unwinding process. For short pulses the reaction is almost completely reversible with a characteristic time constant of about 3 μs for the back reaction.     

Kinetic Theory Model for Ion Movement through Biological Membranes: III. Steady-State Electrical Properties with Solution Asymmetry

An electrodiffusion model for plasma membrane ion transport, which takes into account the influence of high electric field strengths and ion-membrane molecule interactions, is presented and analyzed. A generalized Nernst-Planck equation for steady-state situations is derived which has electric field-dependent mobility and diffusion coefficients. Under the assumption of a constant electric field within the membrane, this equation is integrated to give a more general form of the Goldman equation. Based on this equation numerical computations of ionic chord conductance as a function of applied electric field strength were carried out for several permeant ion concentration ratios. The model is capable of yielding significantly larger rectification ratios than is the Goldman equation. Further, high field asymptotes to the current vs. electric field strength curve do not generally intersect at the origin.     

Mechanism of reaction of myeloperoxidase with hydrogen peroxide and chloride ion.

The reaction of myeloperoxidase compound I (MPO-I) with chloride ion is widely assumed to produce the bacterial killing agent after phagocytosis. Two values of the rate constant for this important reaction have been published previously: 4.7 x 106 M-1.s-1 measured at 25 degrees C [Marquez, L.A. and Dunford, H.B. (1995) J. Biol. Chem. 270, 30434-30440], and 2.5 x 104 M-1.s-1 at 15 degrees C [Furtmüller, P.G., Burner, U. & Obinger, C. (1998) Biochemistry 37, 17923-17930]. The present paper is the result of a collaboration of the two groups to resolve the discrepancy in the rate constants. It was found that the rate constant for the reaction of compound I, generated from myeloperoxidase (MPO) and excess hydrogen peroxide with chloride, decreased with increasing chloride concentration. The rate constant published in 1995 was measured over a lower chloride concentration range; the 1998 rate constant at a higher range. Therefore the observed conversion of compound I to native enzyme in the presence of hydrogen peroxide and chloride ion cannot be attributed solely to the single elementary reaction MPO-I + Cl- --> MPO + HOCl. The simplest mechanism for the overall reaction which fit the experimental data is the following: MPO+H2O2 ⇄k-1k1 MPO-I+H2O MPO-I+Cl- ⇄k-2k2 MPO-I-Cl- MPO-I-Cl- -->k3 MPO+HOCl where MPO-I-Cl- is a chlorinating intermediate. We can now say that the 1995 rate constant is k2 and the corresponding reaction is rate-controlling at low [Cl-]. At high [Cl-], the reaction with rate constant k3 is rate controlling. The 1998 rate constant for high [Cl-] is a composite rate constant, approximated by k2k3/k-2. Values of k1 and k-1 are known from the literature. Results of this study yielded k2 = 2.2 x 106 M-1.s-1, k-2 = 1.9 x 105 s-1 and k3 = 5.2 x 104 s-1. Essentially identical results were obtained using human myeloperoxidase and beef spleen myeloperoxidase.     

Simulations of the solvent structure for macromolecules. III. Determination of the Na+ counter ion structure

We report on a computer experiment in which, using Monte Carlo techniques, we considered a three-turn (30-base-pairs) B-DNA fragment as a solute and a set of 1200 water molecules and 60 sodium counterions (at a temperature of 300 K) as a solvent. From a statistical analysis of the Monte Carlo simulation (applied to the water molecules and counterions in the B-DNA field), we determined that the counterions themselves conform to two helical structures intertwined with the two strands. The strutures of the water molecules solvating both counterion helices and the two B-DNA strands are fully analyzed and described in detail. A model for base-pair recognition based on the above findings is proposed. Aspects of the unwinding mechanism are discussed.     

Intrinsic fluorescence changes and rapid kinetics of the reaction of thrombin with hirudin.

Stopped-flow fluorescence spectroscopy has been used to study the reaction of human alpha-thrombin with recombinant hirudin variant 1 (rhir) at 37 degrees C and an ionic strength of 0.125 M. A 35% enhancement in intrinsic fluorescence accompanied formation of the thrombin-rhir complex. Over one third of this enhancement corresponded to a structural change that could be induced by binding of either the NH2-terminal fragment (residues 1-51) or the COOH-terminal fragment (residues 52-65) of rhir. Three kinetic steps were detected for reaction of thrombin with rhir. At high rhir concentrations (greater than or equal to 3 microM), two intramolecular steps with observed rate constants of 296 +/- 5 s-1 and 50 +/- 1 s-1 were observed. By using the COOH-terminal fragment of rhir as a competitive inhibitor, it was possible to obtain an estimate of 2.9 x 10(8) M-1 s-1 for the effective association rate constant at low rhir concentrations. At higher ionic strengths, this rate constant was lower, which is consistent with the formation of the initial complex involving an ionic interaction. The mechanism for the reaction of both the COOH- and NH2-terminal fragments of rhir appeared to involve two steps. When thrombin was reacted with the COOH-terminal fragment at high concentrations (greater than or equal to 6 microM), the bimolecular step occurred within the dead time of the spectrometer and only one intramolecular step, with a rate constant of 308 +/- 5 s-1 was observed. At concentrations of NH2-terminal fragment below 50 microM, its binding to thrombin appeared to be a bimolecular reaction with an association rate constant of 8.3 x 10(5) M-1 s-1. In the presence of saturating concentrations of the COOH-terminal fragment, a 1.7-fold increase in this rate constant was observed. At concentrations of NH2-terminal fragment greater than 50 microM, biphasic reaction traces were observed which suggests a two-step mechanism. By comparing the reaction amplitudes and dissociation constants observed with rhir and its COOH-terminal fragment, it was possible to obtain approximate estimates for the values of the rate constants of different steps in the formation of the rhir-thrombin complex.     

Electric dichroism of DNA. Influence of the ionic environment on the electric polarizability

In order to test the diffuse ion atmosphere polarization model recently developed by us, the effects of ionic strength, titrating with Mg2+ and Co(NH3)3+6, and coion charge on the electric polarizability of short fragments of DNA are investigated. The results are consistent with the predictions of the theory and show that the diffuse ion atmosphere polarization contributes significantly to the overall orientation of DNA. At low ionic strengths, we attempt to separate the total dipole moment into two components: one that agrees well with the Debye-Hückel ion atmosphere calculations, while the other, presumably due to condensed counterion polarization, appears to be substantially independent of the ionic strength. At higher salt concentrations, however, a simple separation into dipole components is not possible, perhaps due to a significant coupling of ion flows between the diffuse atmosphere and the condensed counterion layer.     

Towards a Mechanism of Function of the Viral Ion Channel Vpu from HIV-1

Abstract

Vpu, an integral membrane protein encoded in HIV-1, is implicated in the release of new virus particles from infected cells, presumably mediated by ion channel activity of homo- oligomeric Vpu bundles.

Reconstitution of both full length Vpu_1–81 and a short, the transmembrane (TM) domain comprising peptide Vpu_1-32 into bilayers under a constant electric field results in an asymmetric orientation of those channels. For both cases, channel activity with similar kinetics is observed. Channels can open and remain open within a broad series of conductance states even if a small or no electric potential is applied.

The mean open time for Vpu peptide channels is voltage-independent. The rate of channel opening shows a biphasic voltage activation, implicating that the gating is influenced by the interaction of the dipole moments of the TM helices with an electric field.     

Stopped-flow kinetic analysis of eIF4E and phosphorylated eIF4E binding to cap analogs and capped oligoribonucleotides: evidence for a one-step binding mechanism

Recruitment of eukaryotic mRNA to the 48 S initiation complex is rate-limiting for protein synthesis under normal conditions. Binding of the 5' -terminal cap structure of mRNA to eIF4E is a critical event during this process. Mammalian eIF4E is phosphorylated at Ser-209 by Mnk1 and Mnk2 kinases. We investigated the interaction of both eIF4E and phosphorylated eIF4E (eIF4E(P)) with cap analogs and capped oligoribonucleotides by stopped-flow kinetics. For m(7)GpppG, the rate constant of association, k(on), was dependent on ionic strength, decreasing progressively up to 350 mm KCl, but the rate constant of dissociation, k(off), was independent of ionic strength. Phosphorylation of eIF4E decreased k(on) by 2.1-2.3-fold at 50-100 mm KCl but had progressively less effect at higher ionic strengths, being negligible at 350 mm. Contrary to published evidence, eIF4E phosphorylation had no effect on k(off). Several observations supported a simple one-step binding mechanism, in contrast to published reports of a two-step mechanism. The kinetic function that best fit the data changed from single- to double-exponential as the eIF4E concentration was increased. However, measuring k(off) for dissociation of a pre-formed eIF4E.m(7)GpppG complex suggested that the double-exponential kinetics were caused by dissociation of eIF4E dimers, not a two-step mechanism. Addition of a 12-nucleotide chain to the cap structure increased affinity at high ionic strength for both eIF4E (24-fold) and eIF4E(P) (7-fold), primarily due to a decrease in k(off). This suggests that additional stabilizing interactions between capped oligoribonucleotides and eIF4E, which do not occur with cap analogs alone, act to slow dissociation.     

Unidirectional replication of plasmid R100

We isolated a 284 base-pair BamHI fragment of plasmid R100 that supports initiation of replication of a plasmid regardless of the orientation of the fragment. Analysis of the specific radioactivity of restriction fragments from 32P-labeled replication intermediates synthesized in vitro shows that replication of the plasmid carrying the 284 base-pair fragment is unidirectional. The direction of replication depends on the orientation of the fragment present in the plasmid. The 5' ends of the leading-strand DNA formed in the early stage of replication were mapped to a region downstream from the 284 base-pair fragment in the direction of replication. The lagging-strand DNA products were also identified and their 3' ends mapped to unique sites within the 284 base-pair fragment causing unidirectional replication of R100.     

Molecular shielding of electric field complex dissociation

We have previously demonstrated the ability of electric fields to dissociate ascorbate and catecholamines and shown that the electric field generated by cell membranes is sufficient to produce dissociation of these complexes up to 8 nm from the cell membrane. We show here that this process is applicable to a wide range of biological complexes including small molecules (norepinephrine-morphine sulfate), protein-protein complexes (insulin-glucagon), and small molecule-protein complexes (epinephrine-bovine serum albumin). The extrapolation of the slope of the electric field dependence to zero electric field can be used to estimate the log of the dissociation constant (K(D)) of a complex and, by multiplying the log(K(D)) by -2.303RT, the association energy (E) of the complex. The slope of the electric field dependence is inversely related to the molecular radii, with the best fit of the slope related to E*(1/r1 + 1/r2), where r is the estimated radius of each molecule in the complementary pair. This indicates that the binding site of the pair is shielded by the remaining parts of the molecules, and the larger the molecule the greater the shielding. When the slope of the electric field dependence goes to 0 as r goes to infinity and 1/r goes to 0, the molecular shielding constant is 7.04 x 10(-8) cm2/V. Very large complexes will be minimally affected by the electric field due to molecular shielding and reduced electric field as their radius restricts approach to the membrane. Large protein receptors will deflect the membrane electric field and allow agonist binding.