Considerations on the evolution of qualitative multistate traits

Simple models for the evolution of qualitative multistate traits are considered, in which the traits are permitted to evolve in time-dependent versus speciation-dependent fashion. Of particular interest are the means and variances of distances for these traits in evolutionary phylads characterized by different rates of speciation, when alternative characters are neutral with respect to fitness, and when the total number of observable characters is limited to small values. As attainable character states are increasingly restricted, mean distance (D) in a phylad decreases, regardless of whether evolution is a function of time or of rate of speciation. The ratio of mean distances in species-rich and species-poor phylads of comparable evolutionary age (D_R/D_P) remains near one when differentiation is proportional to time, even when attainable character states are severely restricted. D_R/D_P also nears one as a result of restricting character states when differentiation is proportional to rate of speciation, but the effect is not severe unless the number of character states is very small and the probability of change per speciation very large. These and other results are discussed with reference to available data sets on qualitative multistate traits.     

Kinetic alpha-deuterium isotope effects for enzymatic and nonenzymatic hydrolysis of nicotinamide-beta-riboside.

The kinetic α-secondary deuterium isotope effect, $\text{k}{}_{\mathrm{H}}\text{k}{}_{\mathrm{D}}$, for the pH-independent hydrolysis of nicotinamide riboside, yielding nicotinamide and ribose, in water at 25 ° is 1.14, establishing that this reaction proceeds with unimolecular substrate decomposition to yield a carboxonium ion, or related species, in the rate-determining step. Surprisingly, the corresponding isotope effect for the base-catalyzed decomposition of the same substrate is 1.12, a value indicating considerable sp² character at the Cl′ position in the transition state for this reaction. A similar result, $\text{k}{}_{\mathrm{H}}\text{k}{}_{\mathrm{D}}\text{= 1.15}$, was obtained for base-catalyzed hydrolysis of NAD⁺. The kinetic alpha deuterium isotope effect for the pig brain NAD glycohydrolasecatalyzed hydrolysis of nicotinamide riboside is 1.08. This value suggests that CN bond cleavage to form an intermediate carboxonium ion, or structurally related species, is at least partially rate-determining. In contrast, the corresponding value for the hydrolysis of this substrate catalyzed by Escherichia coli nicotinamide ribonucleotide glycohydrolase is very near unity, a result consistent with several interpretations including a rate-determining enzyme isomerization reaction.     

The diffusion-concentration product of oxygen in lipid bilayers using the spin-label T1 method

A method is described to measure the oxygen diffusion-concentration product, $\text{D}{}_{\mathrm{<mtext>o</mtext>}}\text{[}\text{O}{}_2\text{]}$, at any locus that can be probed or labeled using nitroxide radicals. The method is based on the dependence of the spin-lattice relaxation time $\text{T}{}_1$ of the spin label on the bimolecular collision rate with oxygen. Strong Heisenberg exchange between spin label and oxygen contributes directly to $\text{T}{}_1$ of the spin label, while dipolar interactions are negligible. Both time-domain and continuous wave saturation methods for studying $\text{T}{}_1$ are considered. The method has been applied to phospholipid liposomes using fatty acid spin labels. A discontinuity in $\text{D}{}_{\mathrm{<mtext>o</mtext>}}\text{[}\text{O}{}_2\text{]}$ at the main phase transition was observed.     

Anomerization of glucose 6-phosphate. pH dependence and solvent isotope effects.

The anomerization of α-d-glucose 6-phosphate has been examined using a spectrophotometric coupled enzyme assay. The pH-rate profile for spontaneous d-glucose 6-phosphate anomerization reveals that the d-glucose 6-phosphate dianion is the species giving rise to the much higher rate of d-glucose 6-phosphate anomerization over that of d-glucose. A deuterium solvent isotope effect of is consistent with the postulated intramolecular general-base catalysis by the phosphate.     

Cockroaches on a treadmill: Aerobic running

Five species of cockroach were tested on a miniature treadmill at three velocities as O₂ consumption () was measured: Gromphadorhina chopardi, Blaberus discoidalis, Eublaberus posticus, Byrsotria fumagata and Periplaneta americana. All cockroaches showed a classical aerobic response to running: increased rapidly from a resting rate to a steady-state on-response varied from under 30 s to 3 min. Recovery after exercise was rapid as well; $\text{t}{}_{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}$ off-response varied from under 30 s to 6 min. These times are faster or similar to mammalian values. varied directly with velocity as in running mammals, birds and reptiles. during steady-state running was only 4–12 times higher than at rest. Running is energetically much less costly per unit time than flying, but the cost of transport per unit distance is much more expensive for pedestrians. The minimal cost of transport (M_run), the lowest necessary to transport a given mass a specific distance, is high in cockroaches due to their small size. The new data suggest that insects may be less economical than comparable sized vertebrates.     

Malate dehydrogenase. Kinetic studies with meso-tartrate and 2-keto-3-hydroxysuccinate, comparison of the mitochondrial and supernatant pig heart enzymes.

Initial rate, product inhibition, and isotope rate kinetic studies of pig heart mitochondrial and supernatant malate dehydrogenases, acting upon the nonphysiological substrates, meso-tartrate and 2-keto-3-hydroxysuccinate, are reported. The measured spontaneous keto-enol equilibrium for 2-keto-3-hydroxysuccinate in 0.05 m Tris-acetate (pH 8.0) at 25 °C favors the enol form, dihydroxyfumarate, with an apparent equilibrium constant of 0.036. The enzyme-catalyzed reaction favors meso-tartrate with an apparent equilibrium constant of 1.25 × 10^?6, M^?1 at pH 8.0. The mechanism apparently remains ordered bi bi for both enzymes when these nonphysiological substrates are used, and the chemical-converting hydride transfer step becomes more rate limiting for both enzymes. This conclusion is supported by $\text{V}{}_{\mathrm{<mtext>H</mtext>}}\text{V}{}_{\mathrm{<mtext>D</mtext>}}$ and $\text{(}\text{V}{}_{\mathrm{<mtext>H</mtext>}}\text{K}{}_{\mathrm{<mtext>H</mtext>}}\text{)}\text{V}{}_{\mathrm{<mtext>D</mtext>}}\text{K}{}_{\mathrm{<mtext>D</mtext>}}$ values of 2.6 and 3.1, respectively, for the mitochondrial enzyme and 1.9 and 2.9, respectively, for the supernatant enzyme.     

Elasnin,a new human granulocyte elastase inhibitor produced by a strain of Streptomyces

Elasnin, a new human granulocyte elastase inhibitor, has been isolated from $\text{Streptomyces}\text{noboritoensis}$ KM-2753. Elasnin is a neutral, lipophilic colorless and viscous oil ($\text{n}{}_{\mathrm{D}}{}^{17}\text{=1.4983}$, $\text{[α]}{}_{\mathrm{D}}{}^{18}\text{?0.9°}$, λ_max^EtOH 291 nm (ε, 7760)). The molecular formula was C₂₄H₄₀O₄ (M.W.: 392) as determined by its elemental analysis and mass spectrum. Elasnin inhibits markedly human granulocyte elastase, but is almost ineffective for pancreatic elastase, trypsin, chymotrypsin, thermolysin and papain.     

The binding of cytochrome b5 to plasma membranes of rat liver. Its implication for membrane specificity and biogenesis

The in vitro incorporation of cytochrome $\text{b}{}_5$ into purified plasma membranes was investigated by biochemical and immunological methods. Plasma membrane preparations incorporated three times less cytochrome $\text{b}{}_5$ than did microsomal preparations; 60% of this cytochrome $\text{b}{}_5$ could not be reduced by the NADH-cytochrome $\text{b}{}_5$ reductase and was considered as being bound to the plasma membrane. The morphological observations made after the immunochemical labeling of cytochrome $\text{b}{}_5$ clearly showed a good but asymmetrical distribution of the ferritin labeling: only the inner face of the plasma membrane incorporated cytochrome $\text{b}{}_5$. These results are discussed with respect to theories which concern the subcellular membrane relationships in the cell.     

A stable traveling-wave solution of a model of cellular control processes with positive feedback

Edelstein's model

$\text{?E}\text{?τ}\text{=F(M, E)}$

,

$\text{?M}\text{?τ}\text{=G(M, E)+D}\text{?}{}^2\text{M}\text{?s}{}^2$

,

$\text{M(s,0)=?(s)}$

,

$\text{E(s,0)=ψ(s)}$

, where τ ? 0 and ?∞<s<∞, $\text{F(M, E>) = (K}{}_1\text{+M}{}^{\mathrm{m}}\text{)}\text{(K}{}_2\text{+M}{}^{\mathrm{m}}\text{)?k}{}_1\text{E, G(M, E)}\text{= k}{}_1\text{E ? k}{}_2\text{M,}$ m ? 2, describes the behavior of two basic chemical species during the cellular differentiation in a linear ensemble of the same cell type. We prove the existence and uniqueness of a travelling-wavefront solution. We also demonstrate one kind of stability for this solution.     

The effect of formate on cytochrome aa3 and on electron transport in the intact respiratory chain

1. Formate inhibits cytochrome $\text{c}$ oxidase activity both in intact mitochondria and submitochondrial particles, and in isolated cytochrome $\text{aa}{}_3$. The inhibition increases with decreasing pH, indicating that HCOOH may be the inhibitory species.2. Formate induces a blue shift in the absorption spectrum of oxidized cytochrome $\text{aa}{}_3\text{(a}{}^{\mathrm{3+}}\text{a}{}_3{}^{\mathrm{3+}}$) and in the half-reduced species ($\text{a}{}^{\mathrm{2+}}\text{a}{}_3{}^{\mathrm{3+}}$). Comparison with cyanide-induced spectral shifts, towards the red, indicates that formate and cyanide have opposite effects on the $\text{aa}{}_3$ spectrum, both in the fully oxidized and the half-reduced states. The formate spectra provide a new method of obtaining the difference spectrum of $\text{a}{}_3{}^{\mathrm{2+}}$ minus $\text{a}{}_3{}^{\mathrm{3+}}$, free of the difficulties with cyanide (which induces marked high → low spin spectral shifts in cytochrome $\text{a}{}_3{}^{\mathrm{3+}}$) and azide (which induces peak shifts of cytochrome $\text{a}{}^{\mathrm{2+}}$ towards the blue in both α- and Soret regions).3. The rate of formate dissociation from cytochrome $\text{a}{}^{\mathrm{2+}}\text{a}{}_3{}^{\mathrm{3+}}\text{-}\text{HCOOH}$ is faster than its rate of dissociation from $\text{a}{}^{\mathrm{3+}}\text{a}{}_3{}^{\mathrm{3+}}\text{-}\text{HCOOH}$, especially in the presence of cytochrome $\text{c}$. The $\text{K}{}_{\mathrm{<mtext>i</mtext>}}$ for formate inhibition of respiration is a function of the reduction state of the system, varying from 30 mM (100% reduction) to 1 mM (100% oxidation) at pH 7.4, 30 °C.4. Succinate-cytochrome $\text{c}$ reductase activity is also inhibited by formate, in a reaction competitive with succinate and dependent on [formate]².5. Formate inhibition of ascorbate plus $\text{N,N,N′,N′-}\text{tetramethyl}\text{-p-}\text{phenyl-enediamine}$ oxidation by intact rat liver mitochondria is partially released by uncoupler addition. Formate is permeable through the inner mitochondrial membrane and no differences in ‘on’ or ‘off’ inhibition rates were observed when intact mitochondria were compared with submitochondrial particles.6. NADH-cytochrome $\text{c}$ reductase activity is unaffected by formate in submitochondrial particles, but mitochondrial oxidation of glutamate plus malate is subject both to terminal inhibition at the cytochrome $\text{aa}{}_3$ level and to a slow extra inhibition by formate following uncoupler addition, indicating a third site of formate action in the intact mitochondrion.     

Ouabain receptor interactions in (Na+ + K+)-ATPase preparations. II. Effect of cations and nucleotides on rate constants and dissociation constants

The action of ATP and its analogs as well as the effects of alkali ions were studied in their action on the ouabain receptor. One single ouabain receptor with a dissociation constant ($\text{K}{}_{\mathrm{<mtext>D</mtext>}}$) of 13 nM was found in the presence of ($\text{Mg}{}^{\mathrm{2+}}\text{+ P}{}_{\mathrm{i}}$) and ($\text{Na}{}^{\mathrm{+}}\text{+ Mg}{}^{\mathrm{2+}}\text{+ ATP}$). pH changes below pH 7.4 did not affect the ouabain receptor. Ouabain binding required Mg²⁺, where a curved line in the Scatchard plot appeared. The affinity of the receptor for ouabain was decreased by K⁺ and its congeners, by Na⁺ in the presence of ($\text{Mg}{}^{\mathrm{2+}}\text{+ P}{}_{\mathrm{i}}$), and by ATP analogs (ADP-C-P, ATP-OCH₃). Ca²⁺ antagonized the action of K⁺ on ouabain binding. It was concluded that the ouabain receptor exists in a low affinity (R_α) and a high affinity conformational state (R_β). The equilibrium between both states is influenced by ligands of $\text{(Na}{}^{\mathrm{+}}\text{+ K}{}^{\mathrm{+}}\text{)-ATPase}$. With 3 mM Mg²⁺ a mixture between both conformational states is assumed to exist (curved line in the Scatchard plot).     

A theoretical study of calcium entry in nerve terminals, with application to neurotransmitter release

In his study of a kin selection model for the evolution of workers' behavior in an incipiently social insect, Craig (1979) found that the haplodiploid mode of sex determination, combined with a female-biased sex ratio, cannot accelerate an evolutionary trend toward eusociality. This seems to contradict to Hamilton's (1964) theory. It is my intention to prove that Craig's result is due to the dependence of relative reproductive success in each sex on the sex ratio of a population. The oviposition of unfertilized eggs by workers is indispensable, in primitive stages in the evolution of eusociality, for maintaining the relative reproductive success of a female. Assuming that workers control the sex ratios, we can distinguish the following three evolutionary phases in accordance with the ratio $\text{N}{}_2\text{N}{}_{10}$ (the ratio of the number of the queen's second brood to that of the progeny laid by workers derived from the same nest). During Phase 1 in which $\text{N}{}_2\text{N}{}_{10}$ < $\text{1}\text{2}$, the reproductive successes of a male and a female are equal, and Hamilton's rule holds. In Phase 2 in which $\text{1}\text{2 <}\text{N}{}_2\text{N}{}_{10}\text{<}\text{3}\text{2}$, the queen produces females, and workers oviposit males. As $\text{N}{}_2\text{N}{}_{10}$ increases, the sex ratio in the whole population becomes female-biased and relative reproductive success of a male increases. In Phase 3 in which N₂/N₁₀ >$\text{3}\text{2}$, the queen lays some male eggs in addition to female eggs. The sociality threshold ($\text{B}\text{C}$)_crit the minimum value of the benefit/cost ratio leading to the evolution of altruism, is $\text{2}\text{3}$on Phase 1. It rises threefold as N₂/N₁₀ increases in Phase 2, and, in Phase 3, it is twice as high as that in a diploid species. The anatomical and physiological characteristics of workers must have been so developed that they are efficient in helping activities after the beginning of eusociality. The evolutionary process before the beginning of helping behavior is also discussed. The egg laying by unmated females, which stay their mother's nest, seems to have been an important preadaptation for the evolution of eusociality in Hymenoptera.     

Alteration of the conductance of Na+ channels in the nodal membrane of frog nerve by holding potential and tetrodotoxin

(1) Na⁺ currents and Na⁺-current fluctuations were measured in myelinated frog nerve fibres at 15°C during 7.7 ms depolarizations to $\text{V = 40, 60}\text{and}\text{80}\text{mV}$. (2) The conductance γ of a single Na⁺ channel and the number $\text{N}{}_0$ of channels per node were calculated from ensemble average values of the mean Na⁺ current and the variance of Na⁺-current fluctuations. (3) For a hyperpolarizing holding potential of $\text{V}{}_{\mathrm{<mtext>H</mtext>}}\text{= ?28}\text{mV}$ the mean values of the channel conductance and number were $\text{γ = 9.8}\text{pS}$ and $\text{N}{}_0\text{= 74 000}$. (4) After changing the holding potential to the resting potential ($\text{V}{}_{\mathrm{<mtext>H</mtext>}}\text{= 0}$) the conductance γ increased by a factor of 1.37 whereas the number $\text{N}{}_0$ decreased by a factor of 0.60. (5) Addition of 8 nM tetrodotoxin at a holding potential of $\text{V}{}_{\mathrm{<mtext>H</mtext>}}\text{= ?28}\text{mV}$ increased γ by a factor of 1.55 and reduced $\text{N}{}_0$ by a factor of 0.25. (6) The increase of the channel conductance at reduced channel numbers suggests negative cooperativity between Na⁺ channels in the nodal membrane.     

Comformation and absolute configuration of -methyllanthionine

If the bicyclic peptide ring proposed by Gross $\text{et}$$\text{al}$. (1,2) does in fact exist in nisin and related antibiotics, then the unusual β-methyllanthionine component must be significantly distorted from its conformation in the free state, as determined by x-ray structure analysis. The torsion angles about the SC_β bonds are 50–100° from the torsion angles in models of the sulfur-bridged peptide ring proposed for nisin. The chirality of the methylated β-carbon atom is (S). The conformation of the amino acid differs from that of $\text{meso}$-lanthionine only by a 180° rotation of a carboxyl group about the $\text{C}{}_{\mathrm{\alpha }}{}^{\mathrm{D}}\text{C}{}_{\mathrm{\beta }}\text{(CH}{}_3\text{)}$ bond.     

A proposed mechanism for light emission by bacterial luciferase involving dissociative electron transfer

A new mechanism that involves dissociative electron transfer in the energy transducing step is set forward for bacterial luciferase catalyzed light emission. The proposal involves (1) dissociation of the 4a-hydroperoxyflavin to a flavin radical and ${}^{\mathrm{?}}\text{O}{}_2{}^{\mathrm{?}}$, accounting for 570 and 620nm absorption, (2) ${}^{\mathrm{?}}\text{O}{}_2{}^{\mathrm{?}}$ addition to the aldehyde carbonyl to form a peroxyl radical, (3) abstraction of H from an enzyme thiol group to form RCH(OOH)OH, (4) thiyl radical abstraction of the H on C in RCH(OOH)OH, a step which can show a $\text{k}{}_{\mathrm{H}}\text{k}{}_{\mathrm{D}}$ of ca. 4, and (5) dissociative electron- transfer, a highly exothermic step that leads to a protonated flavin excited state, a carboxylic acid and water.     

Major intrinsic polypeptide of lens membrane: Biochemical and immunological characterization of the major cyanogen bromide fragment

A protein of $\text{M}{}_{\mathrm{<mtext>r</mtext>}}$ 26 000 has been shown to be the major component of eye-lens junctions, which are similar but not identical to the gap junctions of liver and other tissues. Cyanogen bromide cleavage of the $\text{M}{}_{\mathrm{<mtext>r</mtext>}}$ 26 000 polypeptide from bovine lenses yields a major fragment of $\text{M}{}_{\mathrm{<mtext>r</mtext>}}$ 15 000 (fragment 1). However, if the junctions are first treated with trypsin or carboxypeptidase Y, cyanogen bromide treatment yields a fragment of reduced molecular weight. Since protease treatment has been shown to cleave residues almost exclusively from the carboxy-terminal end of the $\text{M}{}_{\mathrm{<mtext>r</mtext>}}$ 26 000 polypeptide, it follows that fragment 1 represents the carboxy-terminal half of this molecule, part of which is exposed to proteolytic attack outside the membrane. This latter result is corroborated by the fact that antisera which recognize both the $\text{M}{}_{\mathrm{<mtext>r</mtext>}}$ 26 000 polypeptide and fragment 1 fail to do so after preadsorption with intact membranes. In addition, comparative amino acid and partial sequence analyses of the $\text{M}{}_{\mathrm{<mtext>r</mtext>}}$ 26 000 polypeptide and fragment 1 indicate that fragment 1 is more hydrophilic in character, suggesting that much of the amino-terminal half of the $\text{M}{}_{\mathrm{<mtext>r</mtext>}}$ 26 000 polypeptide is buried within the lipid bilayer.     

Regulation of diamine oxidase expression by β2-adrenoceptors in normal and hypertrophic rat kidney

The administration of preferential adrenergic receptor antagonists to uninephrectomized rats revealed the $\text{β}{}_2\text{-}\text{adrenergic}$ mediation in diamine oxidase activity increase that occurs in the remaining kidney undergoing compensatory hypertrophy. In fact, $\text{β}{}_1\text{,β}{}_2\text{-}$ or $\text{β}{}_2\text{-}$, but not $\text{α}{}_1\text{-}$, $\text{α}{}_2\text{-}$, or $\text{β}{}_1\text{-}\text{receptor-blocking}$ this enzyme enhancement. Further studies with adrenoceptor agonists, such as epinephrine ($\text{α}{}_1$, $\text{α}{}_2$, $\text{β}{}_1$, $\text{β}{}_2$), isoproterenol ($\text{β}{}_1$, $\text{β}{}_2$) or terbutaline ($\text{β}{}_2$) showed that also in normal rat kidney diamine oxidase activity is under the control of $\text{catecholamine}\text{-β}{}_2\text{-}\text{receptors}$ through a mechanism that involves new synthesis of mRNA and protein. Theophylline, an inhibitor of phosphodiesterase, or forskolin, an activator of adenyl cyclase, increased diamine oxidase activity as does epinephrine or nephrectomy. Thus, catecholamine-triggered $\text{β}{}_2\text{-}\text{receptors}$ coupled to adenyl cyclase are involved in the regulation of diamine oxidase activity in normal and hypertrophic rat kidney.     

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.     

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.