The effect of ionic strength on the entropy-driven polymerization of tobacco mosaic virus protein: Contributions of electrical work and salting-out

The entropy-driven polymerization of tobacco mosaic virus protein is favored by an increase in ionic strength, μ, and by a decrease in pH. The effect of ionic strength is interpreted in terms of salting-out and electrical work, a function of charge and, therefore, of pH as well as of μ. The extent of polymerization is measured in terms of a characteristic temperature, $\text{T}{}^1$, corresponding to a characteristic value of the equilibrium constant, $\text{K}{}_{\mathrm{<mtext>c</mtext>}}{}^{\mathrm{T1}}$ is measured at an early stage in the polymerization process where the optical density increment from light scatter is 0.01. The theory developed encompassing both salting-out and electrical work terms relates $\text{1}\text{T}{}^1$ to μ approximately according to the equation, $\text{1}\text{T}{}^1\text{= C + Bμ ?}\text{A}\text{μ}{}^{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}$, where C is the ratio of entropy to enthalpy, B is proportional to the salting-out constant divided by enthalpy, and $\text{A}\text{μ}{}^{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}$ depends upon the square of the charge and is proportional to the electrical work contribution divided by the enthalpy. Data in which μ varied from 0.025 to 0.150 at three pH values, 5.95, 6.35, and 6.50, were fitted to this equation and the parameters C, B, and A were evaluated. Experiments were also carried out at a constant μ of 0.10 at pH values in increments of 0.1 between 5.9 and 6.8. The theory predicts that, at constant μ, $\text{1}\text{T}{}^1$, corrected for the electrical work contribution, is a linear function of pH with a negative slope proportional to the number of hydrogen ions bound per protein unit during polymerization, divided by the enthalpy. The data obtained fit two straight lines with different slopes above and below pH 6.3. Independent experiments carried out by the method of Stevens and Loga show that the number of hydrogen ions bound per protein unit also differs above and below pH 6.3 and the ratio of these is the same as the ratio of the above mentioned slopes. The data, therefore, make it possible to evaluate the enthalpy to be 24.8 kcal/mol of associating A protein and, with this value, the parameters C, B, and A can be interpreted. Standard entropies range from 86 e.u. at pH 6.5 to 88.5 at pH 5.95 and the salting-out constant, K_S^′, is 2.2 at all pH values studied. At μ = 0.10, the values of the electrical work contribution at pH 5.95, 6.35, and 6.50 are +0.298, +0.455, and +0.534 kcal/mol, respectively. Theoretical calculations from models predict values in agreement within a factor of less than two.     

Ultracentrifugation studies on early stage polymerization of tobacco mosaic virus protein

The effects of absolute temperature (T), ionic strength (μ), and pH on the polymerization of tobacco mosaic virus protein from the 4 S form (A) to the 20 S form (D) were investigated by the method of sedimentation velocity. The loading concentration in grams per liter (C) was determined at which a just-detectable concentration (β) of 20 S material appeared. It was demonstrated experimentally that under the conditions employed herein, an equilibrium concentration of 20 S material was achieved in 3 h at the temperature of the experiment and that 20 S material dissociated again in 4 h or less to 4 S material either upon lowering the temperature or upon dilution. Thus, the use of thermodynamic equations for equilibrium processes was shown to be valid. The equation used to interpret the results, log ($\text{C?β) =}\text{constant}\text{+ (}\text{ΔH}{}^1\text{2.3RT}$) + ($\text{Δ}\text{W}{}^1{}_{\mathrm{<mtext>el</mtext>}}\text{2.3RT}$) ? K′_sμ + ζpH, was derived from three separate models of the process, the only difference being in the anatomy of the constant; thus, the method of analysis is essentially independent of the model. $\text{ΔH}{}^1$ and ΔW¹_el are the enthalpy and the change in electrical work per mole of A protein (the trimer of the polypeptide chain), K^′_s is the salting-out constant on the ionic strength basis, ζ is the number of moles of hydrogen ion bound per mole of A protein in the polymerization, and R is the gas constant. The three models leading to this equation are: a simple 11th-order equilibrium between A₁ (the trimer of the polypeptide chain) and D, either the double disk or the double spiral of approximately the same molecular weight, designated model A; a second model, designated B, in which A₁ was assumed to be in equilibrium with D at the same time that it is in equilibrium with A₂, A₃, etc., dimers and trimers, etc., of A₁ in an isodesmic system; and a phase-separation model, designated model C, in which A protein is treated as a soluble material in equilibrium with D, considered as an insoluble phase. From electrical work theory, $\text{Δ}\text{W}{}_{\mathrm{el}}{}^1\text{/T}$ was shown to be essentially independent of T; therefore, in experiments at constant μ and constant pH the equation of log (C ? β) versus 1/T is linear with a slope of $\text{ΔH}{}^1\text{/2.3R}$. The results fit such an equation over nearly a 20 °C-temperature range with a single value of $\text{Δ}\text{H}{}^1$ of +32 kcal/mol A₁. Results obtained when T and pH were held constant but μ was varied did not fit a straight line, which shows that more than simple salting-out is involved. When the effect of ionic strength on the electrical work contribution was considered in addition to salting-out, the data were interpreted to indicate a value of $\text{Δ}\text{W}{}^1{}_{\mathrm{el}}$ of 1.22 kcal/mol A₁ at pH 6.7 and a value of 4.93 for K_s^′. When μ and T were held constant but pH was varied, and when allowance was made for the effect of pH changes on the electrical work contribution, a value of 1.1 was found for ζ. This means that something like 1.1 mol of hydrogen ion must be bound per mole of A₁ protein in the formation of D. When this is added to the small amount of hydrogen ion bound per A₁ before polymerization, at the pH values used, it turned out that for D to be formed, 1.5 H⁺ ions must be bound per A₁ or 0.5 per protein polypeptide chain. This amounts to 1 H⁺ ion per polypeptide chain for half of the protein units, presumably those in one but not the other layer of the double disk or turn of the double spiral. When polymerization goes beyond the D stage, as shown by previously published data, additional H⁺ ions are bound. Simultaneous osmotic pressure studies and sedimentation studies were carried out, in both cases as a function of loading concentration C. These results were in complete disagreement with models A and C but agreed reasonably well with model B. The sedimentation studies permitted evaluation of the constant, β, to be 0.33 g/liter.     

Hydrogen ion uptake upon tobacco mosaic virus protein polymerization.

To determine the stage at which H⁺ ions are bound during the entropy-driven polymerization of tobacco mosaic virus protein, acid-base titrations were carried out at a concentration of 5 mg/ml in 0.1 m-KCl from pH 8 to pH 5.2 and back to pH 8 at 4, 10, 15 and 20 °C. The titration was always completely reversible when the addition of acid or base was so slow that the experiment required seven hours in each direction. When the titration was started at pH 7 and performed down and up twice as rapidly, a hysteresis loop, indistinguishable from one previously published, was obtained at 20 °C.Ultracentrifugation experiments were carried out at selected pH values at the four temperatures. H⁺ ion uptake, as determined from the reversible titration curves, is correlated with the disappearance of the 4 S component and is independent of whether the polymerized species is in a 20 S or higher state of aggregation. At pH 7, approximately 1 mole of H⁺ ion is bound per mole of monomer. At pH values between 6.56 and 6.05, 1.5 moles of H⁺ ion are bound per mole of monomer upon polymerization. At pH 6.05, 0.5 mole of H⁺ ion is bound before any polymerization takes place.Tobacco mosaic virus protein at 20 °C in an unbuffered 0.1 m-KCl solution at pH 7.18 at a concentration of 41 mg/ml, largely in the 20 S state, was depolymerized entirely to the 4 S state by dilution with 0.1 m-KCl adjusted to the same pH. Under these conditions, there was no pH change, indicating that no H ⁺ ions are released.These seemingly contradictory findings can be explained by assuming that the 4 S component polymerizes to form either double discs without binding H⁺ ions, or, alternatively, two-turn helices accompanied by the binding of H⁺ ions. Both double discs and two-turn helices sediment at approximately 20 S. Whether polymerization in the neighborhood of pH 7 leads to helices or discs depends upon the availability of H⁺ ions.     

Entropy-driven polymerization of protein from the E66 strain of tobacco mosaic virus

Protein of the tobacco mosaic virus mutant E66 has lysine replacing asparagine of the type strain, vulgare, at position 140. Thus, E66 protein should have one more positive or one less net negative charge than vulgare at pH 6 to 7. To investigate the effect of charge, a comparative study of the polymerization of E66 and vulgare proteins at pH 6.0, 6.2, 6.4, 6.6, and 6.8 at ionic strengths 0.15, 0.10, and 0.05 was made by turbidimetry. Polymerization of E66 protein always proceeded at a lower temperature than vulgare. However, the extent of polymerization was much lower in E66, especially at the higher ionic strengths. Sedimentation velocity results paralleled those from turbidity measurements in that E66 protein polymerizes at lower temperatures than vulgare; the 20 S component is more abundant in E66 protein. Osmotic pressure measurements also show that E66 protein is more polymerized than vulgare, especially at lower pH values. Hydrogen ion titrations of E66 protein were carried out from pH 8 to 5 and back to pH 8 in 0.10 m KCl at three temperatures, 4, 10, and 15 °C. These titrations were reversible when carried out slowly. The isoionic point is near pH 5; thus the charge at pH 7.5 is ?3. The reversible titration results were correlated with the aggregates present at the various pH values and temperatures, determined from the areas under the schlieren peaks in sedimentation velocity experiments. It is found that hydrogen ion binding at the three pH values is correlated with the disappearance of the smallest aggregates and is independent of the type of higher polymer formed. To investigate the effect of ionic strength and pH on the characteristic temperature corresponding to an optical density increment of 0.01 by the method used previously for vulgare, two sets of turbidity measurements were carried out. In the first one the ionic strength was changed from 0.025 to 0.15 in increments of 0.025 at pH 6.0 and 6.4. In the other set, the ionic strength was kept constant at 0.10 and the pH changed from 5.9 to 6.7 in increments of 0.1 pH units. When the analysis of these data was carried out, $\text{Δ}\text{H}{}^1\text{= 30}\text{kcal/mol}$ was obtained. For the salting out constant a value of 1.7 was found, compared to 2.2 for vulgare, a result consistent with the fact that E66 should be less hydrophobic than vulgare. The electrical work term ΔW_el also turns out to be about one-half that for vulgare, which is expected from the lower net negative charge on E66 protein.     

Kinetics of the polymerization reaction of tobacco mosaic virus protein: transient-saturation type polymerization reaction.

The kinetics of the endothermic polymerization reaction of tobacco mosaic virus protein in the mild acid region was studied by means of temperature-jump (rising time of 6 sec)-turbidimetry, electron microscopy, and computer simulation. The time course profile of the turbidity increase changed from a normal one to an anomalous one as the size of the temperature-jump was made greater. The anomalous type polymerization profile, which we named the "transient-saturation" type, could be characterized by a rapid increase of turbidity and its transient saturation, and a slow increase to the final level. At a higher concentration of the protein, this transient-saturation effect was more marked, whereas the slow turbidity in the second phase occurred with a higher rate. This transient-saturation type polymerization profile was observed also in a pH-induced polymerization reaction. It was not observed in the case of the N-bromosuccinimide modified tobacco mosaic virus protein under a similar environmental change. By an electron microscopic study and computer simulation, it was revealed that in the first phase, a large number of short polymers were formed, and the concentration of the polymerizing units was rapidly reduced to the equilibrium value, and the polymerization reaction stopped transiently. In the second phase, polymer-polymer associations took place slowly and longer polymers were formed. The revlevance of the present study to the polymerization reaction of actin, myosin, and to a transient-overshoot type polymerization are discussed.     

Alfalfa mosaic virus protein polymerization.

The self-association of alfalfa mosaic virus coat protein was studied by sedimentation analysis and electron microscopy under a wide range of conditions. In the depolymerized state the protein exists as a molecular species with a sedimentation constant of roughly 3 S and with a molecular weight of (48.4 ± 1.1) × 10³. This value is, within experimental error, twice the value of the monomer (van Beynum, 1975). The dimer has a very stable configuration, as no evidence was found for a monomer-dimer equilibrium between pH values of 3 and 9 and values of ionic strength up to 1.0. One main type of association product (30 S) was found with a molecular weight of (1.48 ± 0.03) × 10⁶. Therefore this particle accomodates 30 dimers which are arranged according to a point group symmetry of 532. The orientation of the 30 dimers within the icosahedral lattice must be such that lattice dyads coincide with the 2-fold axes of the dimers. Micrographs of the 30 S particles show a diameter of about 123 Å; analysis of linear arrays of these particles shows that at low resolution the particle is a hollow sphere with an average coat thickness of about 40 Å.The influence of pH, ionic strength, protein concentration and the type of buffer on the polymerization was determined to some extent and is discussed. The assembly of dimers into the icosahedral particle is an entropy-driven process (Lauffer, 1975); this is concluded from studying the temperature-dependence of the free energy change. Under favourable conditions (phosphate buffer pH 5.5 and ionic strength 0.5) the average enthalpy and entropy changes for the insertion of one dimer into the lattice are about 6.4 kilocalories per mole and 50 entropy units, respectively, based on the unit mole fraction.     

Interaction of tobacco mosaic virus and tobacco mosaic virus protein with bovine serum albumin.

Bovine serum albumin (BSA) causes tobacco mosaic virus (TMV) to crystallize at pH values where both have negative charges. The amount of albumin required to precipitate the virus varies inversely with ionic strength of added electrolyte. At pH values above 5, the precipitating power is greatest when BSA has the maximum total, positive plus negative, charge. Unlike early stages of the crystallization of TMV in ammonium sulfate-phosphate solutions, which can be reversed by lowering the temperature, the precipitation of TMV by BSA is not readily reversed by changes in temperature. The logarithm of the apparent solubility of TMV in BSA solutions, at constant ionic strength of added electrolyte, decreases linearly with increasing BSA concentration. This result and the correlation of precipitating power with total BSA charge suggest that BSA acts in the manner of a salting-out agent. The effect of BSA on the reversible entropy-driven polymerization of TMV protein (TMVP) depends on BSA concentration, pH, and ionic strength. In general, BSA promotes TMVP polymerization, and this effect increases with increasing BSA concentrations. The effect is larger at pH 6.5 than at pH 6. Even though increasing ionic strength promotes polymerization of TMVP in absence of BSA, the effect of increasing ionic strength from 0.08 to 0.18 at pH 6.5 decreases the polymerization-promoting effect of BSA. Likewise, the presence of BSA decreases the polymerization-promoting effect of ionic strength. The polymerization-promoting effect of BSA can be interpreted in terms of a process akin to salting-out. The mutual suppression of the polymerization-promoting effects of BSA and of electrolytes by each other can be partially explained in terms of salting-in of BSA.     

Secondary structure of tobacco mosaic virus protein

A set of rules is proposed for the prediction of α-helices in proteins. These rules lead to the correct assignment to either helical or non-helical regions of over 80% of the amino acid residues in the proteins from which they are derived. Applied to tobacco mosaic virus protein these rules lead to the prediction of five α-helical regions which may be consistent with other data.     

Fluorescent study of tobacco mosaic virus protein

The synthesis of two new variants of gramicidin is described. It is shown that the changes in the aromatic side groups do not influence the single channel conductivity. Experiments in which solutions having different molarities on the two sides of the bilayer lipid membrane are described and their results compared with a rate theory analysis. It is concluded that the gramicidin pore contains approximately 10 equal potential maxima.     

Effect of abscissic acid on tobacco mosaic virus

Abscisic acid (ABA) did not affect the infectivity of tobacco mosaic virus (TMV) in vitro. The same dilutions of ABA when applied on the leaves of Chenopodium amaranticolor Coste and Reyn. at different intervals before inoculation affected development of local lesions variably at different dilutions. The inhibition of local lesion formation was reduced at other intervals leading to stimulation at thirty minutes and six hours intervals. Post-inoculation treatments with 2 mg/l of ABA gave stimulation of local lesion formation, though other dilutions gave inhibition. Viral concentration was stimulated in the tomato seedlings root dipped in 0.2 mg/l of ABA for 6 hours and inoculated 24 hours after transplantation. Incorporation of different concentrations of ABA into tissue culture medium reduced the growth of the TMV infected tobacco callus tissue and stimulated the infectivity of the tissue grown over it assayed after three weeks.