Refinement of the structure of carp muscle calcium-binding parvalbumin by model building and difference Fourier analysis.

The structure of carp muscle calcium-binding parvalbumin has been refined to an overall residual, ($\text{Σ¦F}{}_0\text{− F}{}_{\mathrm{c}}\text{¦}\text{Σ¦F}{}_0\text{¦}$), of 0.25 by a combination of model building and difference Fourier analyses. The atomic positions were allowed to vary up to 0.25 Å from their idealized positions; individual temperature factors ranged from 2 to 150; and 138 solvent peaks were included in this final structure factor calculation. The effects of varying these parameters were analyzed. The treatment of low-order reflections and the influence of solvent have been analyzed in terms of Babinet's principle. These procedures and results are applicable to other protein refinement problems. The errors in co-ordinates are estimated to range from 0.15 Å for the Ca²⁺ ions to 0.30 Å for internal side chain atoms.A van der Waals' radii study indicates that 42% of the crystal volume is occupied by solvent. There are 16 intermolecular contacts. Of the 108 main chain peptide hydrogen atoms, 15 are neither in contact with solvent nor involved in hydrogen bonds. These “lost” hydrogen bonds are considered to be important to the proposed model of function.     

Fluorescence X-ray absorption studies of rubredoxin and its model compounds

The X-ray absorption spectra of rubredoxin from Peptococcus aerogenes and of the model iron sulfur components prepared by Holm [Fe(S₂-O-xyl)₂] have been obtained in the oxidized and reduced forms using X-rays from synchrotron radiation at the Stanford Synchrotron Radiation Project. The spectra were measured both in transmission and by fluorescence, with the latter giving a several-fold higher signal-to-noise ratio for the protein. The edge spectra of the protein and the model compounds were extremely similar and both showed similar changes upon reduction. The best resolved change of the edge spectra upon reduction was a shift of the 1s-3d transition by ≈0.7 eV to lower energies. The EXAFS region of the spectra were converted to k-space and the data were fitted in order to determine first the average Fe-S distances, R_ave, and second their spread which, for rubredoxin, was described by a model wherein three Fe-S bonds had length R₃ and one R₁.Three different methods have been tried consisting essentially of fitting (1) both phase and amplitude simultaneously to the R₃, R₁ model, (2) phase alone to an R_ave model and using the phase to determine the spread of distance, and (3) using phase and amplitude to fit an R_ave model and then using the amplitudes alone to determine the spread of distances. The values of R_ave obtained for the oxidized state of rubredoxin were $\text{R}{}_{\mathrm{<mtext>ave</mtext>}}\text{= 2.265(13)}\text{A}\text{?}$ for the powder and 2.256(16) Å in solution. Upon reduction the value increased to 2.32(2) å. The spread of the distances was determined most accurately by the third method and was $\text{¦R}{}_3\text{— R}{}_1\text{¦= 0.04}{}^{\mathrm{+0.06}}{}_{\mathrm{?0.04}}\text{A}\text{?}$ for the oxidized powder and $\text{¦R}{}_3\text{— R}{}_1\text{¦= 0.08}$ for the reduced form. These values agree within combined experimental errors with the values found by extended X-ray absorption fine structure in the oxidized and reduced forms of Fe(S₂-O-xyl)₂, which also agreed with the previously published X-ray diffraction results.The agreement between the average distances in rubredoxin and the model compounds and the small spread allowable in the rubredoxin distances lead to the conclusion that any strain energy in the iron — sulfur bonds of Rub_ox is appreciably less than thermal energy. Hence the redox potential is not being regulated by strain in the iron — sulfur bond lengths.     

Crystallographic study of the binding of a trifluoroacetyl dipeptide anilide inhibitor with elastase

The addition of a trifluoroacetyl (TFA) group to the amino-terminal end of some short peptides has been found to enhance their affinity for the serine protease elastase.X-ray analysis of a crystal from a mixture of solutions of elastase and the most potent inhibitor in the TFA series, TFA-Lys-Ala-NH-C₆H₄-p-CF₃, shows the CF₃CO group at the S₁ subsite in the active site of elastase, and the dipeptide anilide bound at sites close to the S′₁ to S′₃ subsites with the dipeptide portion associated in a parallel pleated-sheet fashion with the protein chain. This arrangement contrasts sharply with the binding of N-acetylated short peptide inhibitors with elastase.Diffraction data were measured for crystals of native elastase (NAT) and the elastase/inhibitor crystals (TFAP). The inhibitor molecule was located in a difference Fourier map having coefficients $\text{ΔF = ¦F}{}_{\mathrm{<mtext>TFAP</mtext>}}\text{¦? ¦F}{}_{\mathrm{<mtext>NAT</mtext>}}\text{¦}$, and phases calculated from the known atomic co-ordinates of NAT. The parameters of the elastase and inhibitor molecules were refined to R = 0.21 for 7187 “observed” reflections at a resolution of 2.5 Å.     

Graphic method for determination of allosteric constants

The maximum slope of the plot, appearing in the paper of Watari & Isogai (1976), was derived algebraically as a function of allosteric constants c and α_mor β_m (= cα_m), and the relation between L, c, and α_mor β_m, was also obtained, where $\text{L =}\text{T}{}_{\mathrm{o}}\text{R}{}_{\mathrm{o}}\text{, c =}\text{K}{}_{\mathrm{R}}\text{K}{}_{\mathrm{T}}\text{, α}{}_{\mathrm{m}}\text{=}\text{F}{}_{\mathrm{m}}\text{K}{}_{\mathrm{R}}\text{, β}{}_{\mathrm{m}}\text{=}\text{F}{}_{\mathrm{m}}\text{K}{}_{\mathrm{T}}\text{, R}{}_{\mathrm{o}}\text{and}\text{T}{}_{\mathrm{o}}$ are concentrations of unligated R and T states respectively, K_Rand K_T are microscopic dissociation constants, and F_m is the ligand concentration at the maximum slope of the plot. When the maximum slope is increased by one, the value becomes Hill constant, n. Nomographs which enable easier estimation of allosteric constants, L and c, were constructed from the two given values, the maximum slope of the plot, n ? 1, and α_mor β_m, in the cases where the maximum number of ligands, N, was 2 and 4. In the nomograph, log c is plotted against log L²c^N keeping the value of the maximum slope of the plot and that of α_mor β_m constant. These nomographs show that the representation is symmetrical in the cases of L²c^N > 1 and L²c^N < 1.     

Laser-light scattering investigation of the micellar properties of gangliosides

The micellar properties of gangliosides in water solutions were investigated by quasielastic light scattering measurements. G_M1 and G_D1a gangliosides were isolated from calf brain, purified to more than 99% and dissolved in 0.025 M Tris—HCI buffer (pH 6.8) at 37°C. The average intensity of scattered light and the intensity correlation function were measured by an apparatus including a 5145 Å argon laser and a real-time digital correlator. The scattered intensity data allowed the derivation of an upper limit to the critical micelle concentration (c₀) and the evaluation of the molecular weight (M) of the micelle. The intensity correlation function gave the diffusion coefficient D, and hence the hydrodynamic radius R_H, and also contained information on the polydispersity of the sample. We find c_o < 1 × 10^?6 M for both G_M1 and G_D1a, M = 532 000 ± 50 000 and $\text{R}{}_{\mathrm{<mtext>H</mtext>}}\text{= 63.9 ± 2}\text{A}\text{?}$ for G_M1, and M = 417 000 ± 40 000 and $\text{R}{}_{\mathrm{<mtext>H</mtext>}}\text{= 59.5 ± 2}\text{A}\text{?}$ for G_D1a. The mixture 3:1 of the two gangliosides gave intermediate values for all examined parameters. The presence of cations, within the physiological concentration range. and, in particular of Ca²⁺, did not influence significantly the values of c_o and the main features of the micelle.     

The concept of high- and low-affinity reactions in bovine cytochrome c oxidase steady-state kinetics

(1) Analysis of the data from steady-state kinetic studies shows that two reactions between cytochrome c and cytochrome c oxidase sufficed to describe the concave Eadie-Hofstee plots ($\text{K}{}_{\mathrm{<mtext>m</mtext>}}\text{? 1 · 10}{}^{\mathrm{?8}}\text{M}$ and $\text{K}{}_{\mathrm{<mtext>m</mtext>}}\text{? 2 · 10}{}^{\mathrm{?5}}\text{M}$). It is not necessary to postulate a third reaction of $\text{K}{}_{\mathrm{<mtext>m</mtext>}}\text{? 10}{}^{\mathrm{?6}}\text{M}$. (2) Change of temperature, type of detergent and type of cytochrome c affected both reactions to the same extent. The presence of only a single catalytic cytochrome c interaction site on the oxidase could explain the kinetic data. (3) Our experiments support the notion that, at least under our conditions (pH 7.8, low-ionic strength), the dissociation of ferricytochrome c from cytochrome c oxidase is the rate-limiting step in the steady-state kinetics. (4) A series of models, proposed to describe the observed steady-state kinetics, is discussed.     

Heterozygote frequencies in small subpopulations.

The mean fixation index within subpopulations (F_IS) has been defined as $\text{F}\text{̄}{}_{\mathrm{IS}}\text{= ∑w}{}_{\mathrm{i}}\text{F}{}_{\mathrm{ISi}}\text{or as}\text{F}\text{̂}{}_{\mathrm{IS}}\text{=}\text{∑w}{}_{\mathrm{i}}\text{p}{}_{\mathrm{i}}\text{q}{}_{\mathrm{i}}\text{F}{}_{\mathrm{ISi}}\text{∑w}{}_{\mathrm{i}}\text{p}{}_{\mathrm{i}}\text{q}{}_{\mathrm{i}}$. The latter definition is preferred because it can be obtained from the two other fixation indices, F_ST and F_IT and because it is unaffected by the mean gene frequency. The expected frequency of heterozygotes in small subpopulations of dioecious organisms will exceed Hardy-Weinberg expectations and this can be measured by $\text{F}\text{̂}{}_{\mathrm{IS}}$. In an isolated subpopulation of constant variance effective size $\text{N,}\text{F}\text{̂}{}_{\mathrm{IS}}$ rapidly tends to $\text{1 − 4N}{}^2\text{(N − 1 + [N}{}^2\text{+ 1]}{}^{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}\text{)}{}^2$. In the Island model of population structure, $\text{F}\text{̂}{}_{\mathrm{IS}}$ is approximately $\text{−(1 − m)}\text{N}\text{where}\text{m}$ is the immigration rate.When a sample is drawn from a natural population, the observed F_IS will depend upon the genetic structure of the population. The values of F_IS expected in three different types of population structure are discussed.     

Infinite cis influx of cyclic AMP into human erythrocyte ghosts

Infinite cis uptake of cyclic AMP into red blood cell ghosts has been measured. The $\text{K}{}_{\mathrm{<mtext>i</mtext><mtext>c</mtext>}}{}^{\mathrm{<mtext>oi</mtext>}}$ is calculated from two different integrated rate equations that are applicable when the substrate concentration is unsufficient to cause volume changes. Values of 0.69 mM and 0.66 mM are obtained for the infinite cis$\text{K}{}_{\mathrm{<mtext>m</mtext>}}$ at 30°C using these procedures. These values are only slightly higher than that predicted from zero trans net flux experiments.Lowering the temperature reduces $\text{K}{}_{\mathrm{<mtext>i</mtext><mtext>c</mtext>}}{}^{\mathrm{<mtext>oi</mtext>}}$ from 0.69 mM at 30°C to 0.478 mM at 20°C, 0.108 mM at 10°C and 0.072 mM at 4°C ($\text{Q}{}_{10}\text{= 2.4}$). The $\text{Q}{}_{10}$ for activation of influx permeability of 10^?5 M cyclic AMP is 1.55.     

Modifications of redox equilibria with semiquinone stabilization upon pyruvate binding to L-lactate cytochrome c oxidoreductase (flavocytochrome b2)

Spectral redox titrations of flavin and cytochrome b₂ moieties of flavocytochrome b₂ were achieved in the absence and in the presence of pyruvate under equilibrium conditions at 18° C; direct measurements of spin flavosemiquinone proportions have been carried out by EPR determinations at the same temperature. Our results show that the equilibria involving flavin are largely affected by the presence of pyruvate; the semiquinone proportion markedly increases almost till unit near half-reduction of cytochrome b₂; at 10 mM pyruvate, the dismutation constant, $\text{K}{}_{\mathrm{dism}}\text{=}\text{(}\text{F}{}_{\mathrm{s}}\text{)}{}^2\text{(}\text{F}{}_{\mathrm{o}}\text{)}{}^1\text{(}\text{F}{}_{\mathrm{r}}\text{)}$ increases by a factor ≥ 10.     

Effect of para-chloromercuribenzenesulfonic acid and temperature on cell water osmotic permeability of proximal straight tubules

The apparent Arrhenius energy of activation ($\text{E}{}_{\mathrm{<mtext>a</mtext>}}$) of the water osmotic permeability ($\text{P}{}_{\mathrm{<mtext>os</mtext>}}{}^{\mathrm{<mtext>c</mtext>}}$) of the basolateral plasma cell membrane of isolated rabbit proximal straight tubules has been measured under control conditions and after addition of 2.5 mM of the sulfhydryl reagent, para-chloromercuribenzenesulfonic acid (pCMBS), of mersalyl and of dithiothreitol. $\text{E}{}_{\mathrm{<mtext>a</mtext>}}$ (kcal/mol) was $\text{3.2 ± 1.4}$ (controls) and $\text{9.2 ± 2.2}$ (pCMBS), while $\text{P}{}_{\mathrm{<mtext>os</mtext>}}{}^{\mathrm{<mtext>c</mtext>}}$ decreased with pCMBS to $\text{0.26 ± 0.17}$ of its control value. Mersalyl also decreased $\text{P}{}_{\mathrm{<mtext>os</mtext>}}{}^{\mathrm{<mtext>c</mtext>}}$ both in vitro and in vivo (using therapeutical doses). These actions of pCMBS and mersalyl were quickly reverted with 5 mM dithiothreitol and prevented by 0.1 M thiourea. $\text{E}{}_{\mathrm{<mtext>a</mtext>}}$ for free viscous flow is 4.2 and greater than 10 for non-pore-containing lipid membranes. By analogy with these membranes and with red blood cells, where similar effects of pCMBS on $\text{P}{}_{\mathrm{<mtext>os</mtext>}}$ are observed, it is concluded that cell membranes of the proximal tubule are pierced by aqueous pores which are reversibly shut by pCMBS. Part of the action of mercurial diuretics can be explained by their action on $\text{P}{}_{\mathrm{<mtext>os</mtext>}}{}^{\mathrm{<mtext>c</mtext>}}$.     

The polymorphic phase behaviour and miscibility properties of synthetic phosphatidylethanolamines

(1) The polymorphic phase behaviour of aqueous dispersions of various synthetic phosphatidylethanolamines, both singly and in mixtures, has been investigated by ³¹P-NMR. (2) $\text{14:0}\text{14:0}$ PE remains in the lamellar phase up to 90°C. $\text{18:1}{}_{\mathrm{<mtext>t</mtext>}}\text{18:1}{}_{\mathrm{<mtext>t</mtext>}}$ PE exhibits a lamellar to hexagonal (H_II) transition between 60°C and 63°C. For $\text{18:1}{}_{\mathrm{<mtext>c</mtext>}}\text{18:1}{}_{\mathrm{<mtext>c</mtext>}}$ PE, the lamellar to hexagonal (H_II) transition occurs between 7 and 12°C, whereas for $\text{18:2}{}_{\mathrm{<mtext>c</mtext>}}\text{18:2}{}_{\mathrm{<mtext>c</mtext>}}$ PE, the hexagonal (H_II) phase is the preferred structure above ?15°C. (3) Mixtures of $\text{18:1}{}_{\mathrm{<mtext>c</mtext>}}\text{18:1}{}_{\mathrm{<mtext>c</mtext>}}$ PE and $\text{18:1}{}_{\mathrm{<mtext>t</mtext>}}\text{18:1}{}_{\mathrm{<mtext>t</mtext>}}$ PE exhibit near-ideal miscibility behaviour. For mixtures of $\text{18:1}{}_{\mathrm{<mtext>c</mtext>}}\text{18:1}{}_{\mathrm{<mtext>c</mtext>}}$ PE and $\text{14:0}\text{14:0}$ PE there is evidence of fluid-solid immiscibility at temperatures below the gel-liquid crystalline transition temperature of the $\text{14:0}\text{14:0}$ PE component. Mixtures of $\text{18:2}{}_{\mathrm{<mtext>c</mtext>}}\text{18:2}{}_{\mathrm{<mtext>c</mtext>}}$ PE and $\text{18:1}{}_{\mathrm{<mtext>t</mtext>}}\text{18:1}{}_{\mathrm{<mtext>t</mtext>}}$ PE exhibit complex phase behaviour involving limited fluid-solid immiscibility at low temperatures and formation of a phase allowing isotropic motional averaging at higher temperatures. (4) ³¹P-NMR provides a graphic method for investigating the miscibility properties of mixed PE systems.     

How the kinetic parameters of the simple carrier are affected by an applied voltage

The kinetic parameters ($\text{K, R}{}_{\mathrm{<mtext>oo</mtext>}}\text{, R}{}_{12}\text{, R}{}_{21}\text{,}\text{and}\text{R}{}_{\mathrm{<mtext>ee</mtext>}}$) of the simple carrier model are analysed as a function of applied voltage for various cases of charged substrates and carriers. If certain parameters are invariant with voltage, strong conclusions can be made as to the charge on the free carrier. In one particular case (where the parameter $\text{R}{}_{00}$ is invariant while $\text{R}{}_{12}$ and $\text{R}{}_{21}$ display a nonlinear dependence on the exponential of the voltage) it may be possible to identify the isomerisation of the carrier-substrate complex.     

Ubisemiquinone radicals from the cytochrome b-c1 complex of the mitochondrial electron transport chain--demonstration of QP-S radical formation

Stable ubisemiquinone radical(s) in the cytochrome $\text{b}\text{?}\text{c}{}_1$-II complex of bovine heart was observed following reduction by succinate in the presence of catalytic amounts of succinate dehydrogenase. The radical was abolished by addition of antimycin A, but a residual radical remained in the presence of excess exogenous Q₂. The radical showed an EPR signal of g = 2.0046 ± .003 at X band (～9.4 GHz) with no resolved hyperfine structure and had a line width of 8.1 ± .5 Gauss at 23°C. The Q band (35 GHz) spectra showed wellresolved $\text{g}$-anisotropy and had a field separation between derivative extrema of 26 ± 1 Gauss. This radical is evidently from QP-C. These observations substantiate that the radical is immobilized and bound to a protein. The QP-S radical was demonstrated in the cytochrome $\text{b}\text{-}\text{c}{}_1$-II complex only in the presence of more than a catalytic amount of succinate dehydrogenase and cytochrome $\text{b}\text{-}\text{c}{}_1$. This signal was not antimycin a inhibitory. The signal amplitude paralleled the reconstitutive enzymic activity of succinate-cytochrome $\text{c}$ reductase from succinate dehydrogenase and the cytochrome $\text{b}\text{-}\text{c}{}_1$-II complex.     

Isolation of bovine cytochrome c1 as a single non-denatured subunit using gel filtration or high pressure liquid chromatography in deoxycholate

The non-denatured cytochrome $\text{c}{}_1$ subunit of bovine ubiquinone-cytochrome $\text{c}$ reductase was isolated using either gel filtration or high pressure liquid chromatography in 1% deoxycholate. The preparation was a single band on polyacrylamide gel electrophoresis in dodecyl sulfate, had a heme content of 31 nmol heme/mg protein, had an absorbance ratio $\text{A}{}_{417}\text{A}{}_{278}\text{= 2.65}$, a visible spectrum with maxima at 553, 530, 523.5, 417, 317, and 277 nm for the reduced protein, and an amino acid analysis identical to that previously reported for the isolated denatured protein. The Stokes' radius of this non-denatured deoxycholate solubilized protein was 34Å, indicating that the protein either is a dimer in deoxycholate, is asymmetric, or binds large amounts of detergent.     

Study on models of single populations: an expansion of the logistic and exponential equations

Using the adsorption theory of chemical kinetics, a new equation concerning the growth of single populations is presented:

$\text{d}\text{X}\text{d}\text{t}\text{=}\text{μ}{}_{\mathrm{c}}\text{X(1 ?)}\text{X}\text{X}{}_{\mathrm{m}}\text{1?}\text{X}\text{X}{}_{\mathrm{m}}{}^{\mathrm{\prime }}$

or in its integral form:

$\text{ln}\text{X}\text{X}{}_{\mathrm{o}}\text{?}\text{ln}\text{X}{}_{\mathrm{m}}\text{?X}\text{X}{}_{\mathrm{m}}\text{?X}{}_{\mathrm{o}}\text{+}\text{X}{}_{\mathrm{m}}\text{X}{}^{\mathrm{\prime }}{}_{\mathrm{m}}\text{X}{}_{\mathrm{m}}\text{?X}\text{X}{}_{\mathrm{m}}\text{?X}{}_{\mathrm{o}}\text{=μ}{}_{\mathrm{c}}\text{(t?t}{}_{\mathrm{o}}\text{)}$

This equation attempts to explain the relationship between population increment and limiting resources. It can be reduced to either the logistic or exponential equation under two extreme conditions. The new equation has three parameters, X_m, X′_m and μ_c, each of which has ecological significance. $\text{X}{}_{\mathrm{m}}\text{X′}{}_{\mathrm{m}}$ concerns the efficiency of nutrient utilization by an organism. Its value is between zero and one. With ratios approaching unity, the efficiency is high; lower ratios indicate that population increment is quickly restricted by limiting resources. μ_c, is a velocity parameter lying between μ_e, (exponential growth) and μ_L (logistic growth), and is dependent on the value of $\text{solX}{}_{\mathrm{m}}\text{X′}{}_{\mathrm{m}}$. From μ_c we can predict the time course of population incremental velocity ($\text{d}\text{X}\text{d}\text{t}$), and can observe that it is not symmetrical, unlike that derived from the logistic equation. At $\text{X}{}_{\mathrm{m}}\text{X′}{}_{\mathrm{m}}\text{= 1}$ the maximum velocity of the population increment predicted from the new equation is twice that of the logistic equation.Population growth in nature seems to support the new equation rather than the logistic equation, and it can be successfully fitted by means of a least square method.     

Bovine fibrinogens: Reversible polymer formation

Reversible flbrinogen polymer formation was examined at pH 6.6 and Γ/2 0.3. The equilibrium fraction of fibrinogen present as polymer, (P_mf)_e, was determined by gel filtration for fibrinogen concentrations, F_O, from 48 to 166 μm. Using F_O in molarity, the experimental relation is ln [F_O(P_mf)_e] = 3.53 ln[F_O(1 ? (P_mf)_e)] + 23.73. This relation and attendant confidence limits are examined assuming, during filtration, that the original polymer population is either stable or selected polymer species dissociate to monomer. The possibility that all polymers are open is excluded since the calculated microscopic association constant would then increase with F_O. Acceptable models are based on the assumptions that polymers are open, with association constant K_a, until restricted by closure, with association constant K_r, at an integral degree of polymerization, n. Values are selected on the basis that interaction parameters are independent of F_O and that the required molar decrease in free energy is a minimum. Assuming polymer stability, the experimental relation at 273 °K gives $\text{n = 4,}\text{K}{}_{\mathrm{r}}\text{K}{}_{\mathrm{a}}\text{= 1.2 m,}\text{and}\text{K}{}_{\mathrm{a}}$ = 736 m^?1. Temperature dependence gives $\text{ΔH= ?16.9 kcal/mol}\text{and}\text{ΔS}{}^{\mathrm{O}}{}_{\mathrm{a}}$ = ?48.8 e.u. $\text{K}{}_{\mathrm{r}}\text{K}{}_{\mathrm{a}}$ indicates a relation between changes in entropy. The probability is >0.90 that $\text{K}{}_{\mathrm{r}}\text{K}{}_{\mathrm{a}}\text{? 56 m}$, which indicates a greater loss of degrees of freedom on closure than on association. Conclusions are not altered by the assumption that only the closed polymer species is stable. As ionic strength is decreased at pH 6.6, K_a increases. The clotting time of an otherwise constant system decreases as system P_mf is increased.     

Anaerobic stimulation of sugar transport in avian erythrocytes

The kinetic parameters of the sugar transport in avian erythrocytes were evaluated under aerobic and anaerobic conditions. In anaerobic cells, transport measurements with $\text{3-O-[}{}^{14}\text{C}\text{]}$ methylglucose resulted in a set of similar dissociation-like constants. Thus the Michaelis constants of $\text{3-O-[}{}^{14}\text{C}\text{]}$ methylglucose entry and exit, $\text{K}{}_{\mathrm{<mtext>so</mtext>}}$ and $\text{K}{}_{\mathrm{<mtext>si</mtext>}}$, were 8 and 7 mM, respectively. The equilibrium exchange constant, $\text{B}{}_{\mathrm{<mtext>s</mtext>}}$, and the counterflow constant, $\text{R}{}_{\mathrm{<mtext>s</mtext>}}$, were 9 and 11 mM, respectively. The activity constant for $\text{3-O-}\text{methylglucose}$ transport, $\text{F}{}_{\mathrm{<mtext>s</mtext>}}$, defined as $\text{V/K}{}_{\mathrm{<mtext>m</mtext>}}$, was 4 ml/h per g. This set of kinetic constants was compatible with a symmetrical mobile-carrier model. In contrast, the Michaelis constant for glucose entry, $\text{K}{}_{\mathrm{<mtext>go</mtext>}}$, was 2 mM and less than the counterflow constant, $\text{R}{}_{\mathrm{<mtext>g</mtext>}}$ (8 mM). This result could be accounted for by slower movement of the glucose-carrier complex than the free carrier. The activity constant for glucose transport, $\text{F}{}_{\mathrm{<mtext>g</mtext>}}$, was 5 ml/h perg.Under aerobic conditions, two of the dissociation-like constants ($\text{K}{}_{\mathrm{<mtext>si</mtext>}}$ and $\text{B}{}_{\mathrm{<mtext>s</mtext>}}$) for $\text{3-O-}\text{methylglucose}$ transport were significantly larger than those obtained in anaerobic cells, but the remaining two ($\text{K}{}_{\mathrm{<mtext>so</mtext>}}$ and $\text{R}{}_{\mathrm{<mtext>s</mtext>}}$) remained unchanged. The values, for $\text{K}{}_{\mathrm{<mtext>so</mtext>}}\text{, K}{}_{\mathrm{<mtext>si</mtext>}}\text{, B}{}_{\mathrm{<mtext>s</mtext><mtext>\; and</mtext>}}\text{R}{}_{\mathrm{<mtext>s</mtext>}}$ were 8, 26, 20 and 8 mM, respectively. The activity constant, $\text{F}{}_{\mathrm{<mtext>s</mtext>}}$, decreased to 2 ml/h per g. These changes in kinetic constants were consistent with the hypothesis that anoxia accelerated sugar transport by releasing free carrier that was previously sequestered on the inside of the cell membrane.