Photosystem I electron transport and phosphorylation supported by electron donation to the plastoquinone region

In chloroplasts, tetramethyl-p-hydroquinone supports high rates of phosphorylation-coupled, noncyclic electron flow through Photosystem I to methylviologen. The reaction is totally sensitive to dibromothymoquinone, indicating an electron donation to the plastoquinone region of the photosynthetic chain. The uncoupled electron flow rate exceeds 1000 μequivalents per hour per mg chlorophyll. The phosphorylation efficiency ($\text{P}\text{e}{}_2$) at the optimal pH of 8 is 0.6–0.65. Presumably this ratio represents the efficiency of energy coupling in the electron transfer step plastoquinone → cytochrome f.     

Photosystem II energy coupling in chloroplasts with H2O2 as electron donor

NH₂OH-treated, non-water-splitting chloroplasts can oxidize H₂O₂ to O₂ through Photosystem II at substantial rates (100–250 μequiv · h^?1 · mg^?1 chlorophyll with 5 mM H₂O₂) using 2,5-dimethyl-p-benzoquinone as an electron acceptor in the presence of the plastoquinone antagonist dibromothymoquinone. This H₂O₂ → Photosystem II → dimethylquinone reaction supports phosphorylation with a $\text{P}\text{e}{}_2$ ratio of 0.25–0.35 and proton uptake with $\text{H}{}^{\mathrm{+}}\text{e}$ values of 0.67 (pH 8)–0.85 (pH 6). These are close to the $\text{P}\text{e}{}_2$ value of 0.3–0.38 and the $\text{H}{}^{\mathrm{+}}\text{e}$ values of 0.7–0.93 found in parallel experiments for the H₂O → Photosystem II → dimethylquinone reaction in untreated chloroplasts. Semi-quantitative data are also presented which show that the donor → Photosystem II → dibromothymoquinone (→O₂) reaction can support phosphorylation when the donor used is a proton-releasing reductant (benzidine, catechol) but not when it is a non-proton carrier (I^?, ferrocyanide).     

Determination of H+e− ratios in chloroplasts with flashing light

Using a rapid pH electrode, measurements were made of the flash-induced proton transport in isolated spinach chloroplasts. To calibrate the system, we assumed that in the presence of ferricyanide and in steady-state flashing light, each flash liberates from water one proton per reaction chain. We concluded that with both ferricyanide and methylviologen as acceptors two protons per electron are translocated by the electron transport chain connecting Photosystem II and I. With methyl viologen but not with ferricyanide as an acceptor, two additional protons per electron are taken up due to Photosystem I activity. One of these latter protons is translocated to the inside of the thylakoid while the other is taken up in H₂O₂ formation. Assuming that the proton released during water splitting remains inside the thylakoid, we compute $\text{H}{}^{\mathrm{+}}\text{e}{}^{\mathrm{?}}$ ratios of 3 and 4 for ferricyanide and methyl viologen, respectively.In continuous light of low intensity, we obtained the same $\text{H}{}^{\mathrm{+}}\text{e}{}^{\mathrm{?}}$ ratios. However, with higher intensities where electron transport becomes rate limited by the internal pH, the $\text{H}{}^{\mathrm{+}}\text{e}{}^{\mathrm{?}}$ ratio approached 2 as a limit for both acceptors.A working model is presented which includes two sites of proton translocation, one between the photoacts, the other connected to Photosystem I, each of which translocates two protons per electron. Each site presents a ≈ 30 ms diffusion barrier to proton passage which can be lowered by uncouplers to 6–10 ms.     

Electron transport and photophosphorylation in chloroplasts as a function of the electron acceptor. III. A dibromothymoquinone-insensitive phosphorylation reaction associated with Photosystem II

Dibromothymoquinone (2,5-dibromo-3-methyl-6-isopropyl-p-benzoquinone) is reputed to be a plastoquinone antagonist which prevents the photoreduction of hydrophilic oxidants such as ferredoxin-NADP⁺. However, we have found that dibromothymoquinone inhibits only a small part of the photoreduction of lipophilic oxidants such as oxidized p-phenylenediamine. Dibromothymoquinone-resistant photoreduction reactions are coupled to phosphorylation, about 0.4 molecules of ATP consistently being formed for every pair of electrons transported. Dibromothymoquinone itself is a lipophilic oxidant which can be photoreduced by chloroplasts, then reoxidized by ferricyanide or oxygen. The electron transport thus catalysed also supports phosphorylation and the $\text{P}\text{e}{}_2$ ratio is again 0.4. It is concluded that there is a site of phosphorylation before the dibromothymoquinone block and another site of phosphorylation after the block. The former site must be associated with electron transfer reactions near Photosystem II, while the latter site is presumably associated with the transfer of electrons from plastoquinone to cytochrome f.     

An analysis of proton fluxes coupled to electron transport and ATP synthesis in chloroplast thylakoids

Electron transport, phosphorylation and internal proton concentration were measured in illuminated spinach chloroplast thylakoid membranes under a number of conditions. Regardless of the procedure used to vary these parameters, the data fit a simple chemiosmotic model. Protons from Photosystem II did not appear to be utilized differently from those derived from Photosystem I. The maximal phosphorylation efficiency ($\text{P}\text{e}{}_2$) for photophosphorylation in washed thylakoids under oxidizing conditions is likely to be $\text{4}\text{3}$. This value is consistent with a proton-to-electron-pair ratio of 4 for electron flow through both photosystems and a proton-to-ATP ratio of 3 for the chloroplast proton-ATPase.     

Energy-coupling mechanisms under aerobic and anaerobic conditions in autotrophically grown Pseudomonas saccharophila

The cell-free preparations from autotrophieally grown Pseudomonas saccharophila catalyzed the process of electron transport from H₂ or various other organic electron donors to either O₂ or NO₃^? with concomitant ATP generation. The respective $\text{P}\text{O}$ ratios with H₂ and NADH were 0.63 and 0.73, the respective $\text{P}\text{NO}{}_3{}^{\mathrm{?}}$ ratios were 0.57 and 0.54. In contrast, the $\text{P}\text{O}$ and $\text{P}\text{NO}{}_3{}^{\mathrm{?}}$ ratios with succinate were 0.18 and 0.11, respectively. ATP formation coupled to the oxidation of ascorbate, in the absence or presence of added N,N,N′,N′-tetramethyl-p-phenylenediamine or cytochrome c, could not be detected. Various uncouplers inhibited phosphorylation with either O₂ or NO₃^? as terminal electron acceptors without affecting the oxidation of H₂ or other substrates. The NADH oxidation at the expense of O₂ or NO₃^? reduction as well as the associated phosphorylation were inhibited by rotenone and amytal. The aerobic and anaerobic H₂ oxidation and coupled ATP synthesis, on the other hand, was unaffected by the flavoprotein inhibitors as well as by the NADH trapping system. The NADH, H₂, and succinate-linked electron transport to O₂ or NO₃^? and the associated phosphorylations were sensitive, however, to antimycin A or 2-n-nonyl-4-hydroxyquino-line-N-oxide, and cyanide or azide. The data indicated that although the phosphorylation sites 1 and II were associated with NADH oxidation by O₂ or NO₃^?, the energy conservation coupled to H₂ oxidation under aerobic or anaerobic conditions appeared to involve site II only.     

Restoration of pool function type behavior to succinate dehydrogenase having latent reconstitutive activity in ubiquinol-cytochrome c reductase complex

Mitochondrial ubiquinol-cytochrome $\text{c}$ reductase complex contains small amounts of succinate dehydrogenase. Estimates from electrophoresis indicate there is one dehydrogenase per eight complexes. This dehydrogenase transfers electrons to the $\text{b}$-$\text{c}{}_1$ complex poorly, as judged by low succinate-ubiquinone and succinate-cytochrome $\text{c}$ reductase activities. Electron transfer to the $\text{b}$-$\text{c}{}_1$ complex is restored by reconstitution of the complex with phospholipid. This phospholipid dependent restoration of electron transfer indicates that either reconstitutive activity of the dehydrogenase is preserved under conditions where electron transfer is absent, or that addition of phospholipid allows one dehydrogenase to transfer electrons to multiple $\text{b}$-$\text{c}{}_1$ complexes.     

Studies on the Energy-coupling Sites of Photophosphorylation: V. Phosphorylation Efficiencies (P/e(2)) Associated with Aerobic Photooxidation of Artificial Electron Donors

The rate of Hill reaction can be measured accurately as O₂ uptake (the Mehler reaction) if a rapidly autoxidizable electron acceptor (e.g., methylviologen) is used. However, when an artificial electron donor-ascorbate couple (or ascorbate alone) replaces the natural donor, water, the rate of O₂ consumption is no longer a reliable measure of the electron flux, because superoxide radical reactions contribute to O₂ uptake. Such radical reactions, however, can be suppressed by adding enough superoxide dismutase to the reaction mixture. Indeed in all of the photosystem I- and photosystem II-donor reactions tested (except with benzidine which was tested without ascorbate added), the O₂ uptake was inhibited by 30 to 50% by the addition of superoxide dismutase. The rate of phosphorylation was totally unaffected by the enzyme. The reasessment of the phosphorylation efficiencies thus made by the use of superoxide dismutase led us to the following conclusions. The phosphorylation efficiency associated with the transfer of electrons from a donor to methlylviologen (than to O₂) through both photosystems II and I is practically independent of the donor used—catechol, benzidine, p-aminophenol, dicyanohydroquinone, or water. The P/e₂ ratio is 1.0 ± 0.1. Only ascorbate gives a slightly lower value (P/e₂ = 0.9). (NH₂OH-treated, non-water-splitting chloroplasts were used for reactions with these artificial donors.) The phosphorylation efficiency associated with DCMU-insensitive, photosystem I-mediated transfer of electrons from a donor to methylviologen (then to O₂) is again largely independent of the donor used, such as diaminodurene, diaminotoluene, and reduced 2,6-dichlorphenol-indophenol. The P/e₂ ratio is 0.6 ± 0.08.     

Inhibition of anion transport in human red blood cells by 5,5′-dithiobis(2-nitrobenzoic acid)

The uptake of [³²P]phosphate into human red blood cells was inhibited ($\text{K}{}_{\mathrm{<mtext>i</mtext>}}\text{= 0.6}\text{mM}$) by the sulfhydryl reagent 5,5′-dithiobis(2-nitrobenzoic acid) (DTNB). 2-Nitro-5-thiobenzoic acid (NTB), the reduced form of DTNB, was a less potent inhibitor ($\text{K}{}_{\mathrm{<mtext>i</mtext>}}\text{= 7}\text{mM}$). The inhibition of anion transport by DTNB could be reversed by washing DTNB-treated cells with isotonic buffer, or by incubating DTNB-treated cells with 2-mercaptoethanol, which converted DTNB to NTB. DTNB competitively inhibited the binding of 4-[¹⁴C]-benzamido-4′-aminostilbene-2,2′-disulfonate, a potent inhibitor of anion transport ($\text{K}{}_{\mathrm{<mtext>i</mtext>}}\text{= 1?2 μ}\text{M}$), to band 3 protein in cells and ghost membranes. These results suggest that the stilbene-disulfonate binding site in band 3 protein can readily accommodate the organic anion DTNB, and that inhibition by DTNB was not due to reaction with an essential sulfhydryl group.     

Synthesis of a complementary DNA to rat liver albumin mRNA.

NADPH reduces both liver microsomal cytochrome P-450 and cytochrome $\text{b}{}_5$. In the presence of CO, ferrous cytochrome P-450 can slowly transfer electrons to amaranth, an azo dye. This reaction is followed by the reoxidation of cytochrome $\text{b}{}_5$ which proceeds at essentially the same rate as does cytochrome P-450 oxidation. It is suggested that cytochrome $\text{b}{}_5$ directly reduces cytochrome P-450 in rat liver microsomes.     

Phosphorylation in isolated chloroplasts coupled to dichlorophenyldimethylurea-insensitive silicomolybdate reduction

1. The electron transport in isolated chloroplasts with silicomolybdate as electron acceptor has been reinvestigated. The silicomolybdate reduction has been directly measured as ΔA₇₅₀ or indirectly as O₂ evolution (in the presence or absence of ferricyanide).2. Silicomolybdate-dependent O₂ evolution is inhibited to a similar extent by 3-(3,4-dichlorophenyl) 1, 1-dimethylurea (DCMU) or dibromothymoquinone (DBMIB), indicating the existence of two different sites of silicomolybdate reduction: one before the DCMU block (i.e. at Photosystem II) and one after the DBMIB block (i.e. at Photosystem I).3. Silicomolybdate-dependent O₂ evolution is coupled to ATP synthesis with an $\text{ATP}\text{2}\text{e}{}^{\mathrm{?}}$ ratio of 1.0 to 1.1. The presence of ferricyanide inhibits this ATP synthesis ($\text{ATP}\text{2}\text{e}{}^{\mathrm{?}}$ ratio then is about 0.3).4. Silicomolybdate-dependent O₂ evolution is also coupled to ATP-synthesis in the presence of DCMU with an $\text{ATP}\text{2}\text{e}{}^{\mathrm{?}}$ ratio of 0.6–0.8 characteristic of Site II; in this case the electron transport itself is not affected by uncouplers or energy-transfer inbihitors.5. The data are interpreted as a further demonstration that the water-splitting reaction is responsible for the conservation of energy at Photosystem II.     

Thiol modulation of the chloroplast protonmotive ATPase and its effect on photophosphorylation

Thiol modulation of the chloroplast protonmotive ATPase (CF₀-CF₁) by preillumination of broken chloroplasts in the presence of dithiothreitol (or preillumination of intact chloroplasts in the absence of added thiols) had the following effects on photophosphorylation. (1) When assayed at pH 8 and saturating light, the initial rate of photophosphorylation was increased by 10–40%. There was an accompanying increase in the rate of coupled electron transport with no significant change in the overall $\text{P}\text{2}\text{e}$ ratio. (2) On lowering the pH of the assay medium to pH 7, the stimulatory effect of thiol modulation on photophosphorylation and coupled electron flow was enhanced. At pH 7, there was also a small increase in $\text{P}\text{2}\text{e}$ ratio. (3) Addition of a non-saturating amount of uncoupler to the assay medium enhanced the stimulatory effect of thiol modulation on photophosphorylation. In the presence of 1 mM NH₄Cl, there was only a small increase in coupled electron flow and a correspondingly larger increase in $\text{P}\text{2}\text{e}$ ratio. (4) Lowering the light intensity, or inhibiting electron transport, diminished the stimulatory effect of thiol modulation on photophosphorylation, coupled electron transport and $\text{P}\text{2}\text{e}$ ratio. (5) Under all the above conditions, the ΔpH maintained across the thylakoid membrane was lower after thiol modulation, even when photophosphorylation markedly increased in rate. (6) Thiol modulation of CF₀-CF₁ increased the observed Michaelis constant for ADP (K_m(ADP)) and the apparent maximum rate (V_app of photophosphorylation by the same factor, so that ratio $\text{V}{}_{\mathrm{<mtext>app</mtext>}}\text{K}{}_{\mathrm{<mtext>m</mtext>}}$ was not altered. $\text{V}{}_{\mathrm{<mtext>app</mtext>}}\text{K}{}_{\mathrm{<mtext>m</mtext>}}$ was also unaffected by changing the medium pH, but was significantly decreased upon addition of uncouplers to the medium. These results indicate that the observed rate of ATP synthesis catalysed by thiol demodulated chloroplasts is limited kinetically by the fraction (α) of enzyme molecules that are active during photophosphorylation. A model based on a dual pH optimum requirement for activation of CF₀-CF₁ is presented to explain the dependence of α on ΔpH. Thiol modulation of CF₀-CF₁ is proposed to stimulate photophosphorylation by causing the enzyme to become active over a lower range of ΔpH, thereby reducing the kinetic limitation on ATP synthesis imposed by the activation process.     

New experimental approach to the estimation of rate of electron transfer from the primary to secondary acceptors in the photosynthetic electron transport chain of purple bacteria

A method for calculating the rate constant ($\text{K}{}_{\mathrm{<mtext>A</mtext><mtext>1</mtext><mtext>A</mtext><mtext>2</mtext>}}$) for the oxidation of the primary electron acceptor (A₁) by the secondary one (A₂) in the photosynthetic electron transport chain of purple bacteria is proposed.The method is based on the analysis of the dark recovery kinetics of reaction centre bacteriochlorophyll (P) following its oxidation by a short single laser pulse at a high oxidation-reduction potential of the medium. It is shown that in Ectothiorhodospira shaposhnikovii there is little difference in the value of $\text{K}{}_{\mathrm{<mtext>A</mtext><mtext>1</mtext><mtext>A</mtext><mtext>2</mtext>}}$ obtained by this method from that measured by the method of Parson ((1969) Biochim. Biophys. Acta 189, 384–396), namely: $\text{(4.5±1.4) · 10}{}^3\text{s}{}^{\mathrm{?1}}$ and $\text{(6.9±1.2) · 10}{}^3\text{s}{}^{\mathrm{?1}}$, respectively.The proposed method has also been used for the estimation of the $\text{K}{}_{\mathrm{<mtext>A</mtext><mtext>1</mtext><mtext>A</mtext><mtext>2</mtext>}}$ value in chromatophores of Rhodospirillum rubrum deprived of constitutive electron donors which are capable of reducing P⁺ at a rate exceeding this for the transfer of electron from A₁ to A₂. The method of Parson cannot be used in this case. The value of $\text{K}{}_{\mathrm{<mtext>A</mtext><mtext>1</mtext><mtext>A</mtext><mtext>2</mtext>}}$ has been found to be $\text{(2.7±0.8) · 10}{}^3\text{s}{}^{\mathrm{?1}}$.The activation energies for the A₁ to A₂ electron transfer have also been determined. They are 12.4 kcal/mol and 9.9 kcal/mol for E. shaposhnikovii and R. rubrum, respectively.     

The role of the membrane-bound iron-sulphur centres A and B in the Photosystem I reaction centre of spinach chloroplasts

Photosystem I particles prepared from spinach chloroplast using Triton X-100 were frozen in the dark with the bound iron-sulphur Centre A reduced. Illumination at cryogenic temperatures of such samples demonstrated the photoreduction of the second bound iron-sulphur Centre B. Due to electron spin-electron spin interaction between these two bound iron-sulphur centres, it was not possible to quantify amounts of Centre B relative to the other components of the Photosystem I reaction centre by simulating the line-shape of its EPR spectrum. However, by deleting the free radical signal I from the EPR spectra of reduced Centre A alone or both Centres A plus B reduced, it was possible to double integrate these spectra to demonstrate that Centre B is present in the Photosystem I reaction centre in amounts comparable to those of Centre A and thus also signal I ($\text{P-700}$) and X.Oxidation-reduction potential titrations confirmed that Centre A had $\text{E}{}_{\mathrm{<mtext>m</mtext>}}\text{? ?550}\text{mV}$, Centre B had $\text{E}{}_{\mathrm{<mtext>m</mtext>}}\text{? ?585}\text{mV}$. These results, and those presented for the photoreduction of Centre B, place Centre B before Centre A in the sequence of electron transport in Photosystem I particles at cryogenic temperatures. When both A and B are reduced, $\text{P-700}$ photooxidation is reversible at low temperature and coupled to the reduction of the component X. The change from irreversible to reversible $\text{P-700}$ photooxidation and the photoreduction of X showed the same potential dependence as the reduction of Centre B with $\text{E}{}_{\mathrm{<mtext>m</mtext>}}\text{? ?585}$ mV, substantiating the identification of X as the primary electron acceptor of Photosystem I.     

Localized coupling in oxidative phosphorylation by mitochondria from Jerusalem artichoke (Helianthus tuberosus)

Delocalized chemiosmotic coupling of oxidative phosphorylation requires that a single-value correlation exists between the extent of and the kinetic parameters of respiration and ATP synthesis. This expectation was tested experimentally in nigericin-treated plant mitochondria in single combined experiments, in which simultaneously respiration (in State 3 and in State 4) was measured polarographically, FΔψ (which under these conditions was equivalent to ) was evaluated potentiometrically from the uptake of tetraphenylphosphonium⁺ and the rate of phosphorylation was estimated from the transient depolarization of mitochondria during State 4-State 3-State 4 transitions. The steady-state rates of the different biochemical reactions were progressively inhibited by specific inhibitors active with different modalities on various steps of the energy-transducing process: succinate respiration was inhibited competitively with malonate or noncompetitively with antimycin A, or by limiting the rate of transport into the mitochondria of the respiratory substrate with phenylsuccinate; was dissipated by uncoupling with increasing concentrations of valinomycin; ADP phosphorylation was limited with oligomycin. The results indicate generally that when the rate of respiratory electron flow is decreased, a parallel inhibition of the rate of phosphorylation is also observed, while very limited effects can be detected on the extent of . This behavior is in marked contrast to the effect of uncoupling where the decreased rate of ATP synthesis is clearly due to energy limitation. Extending previous observations in bacterial photosynthesis and in respiration by animal mitochondria and submitochondrial particles the results indicate, therefore, that respiration tightly controls the rate of ATP synthesis, with a mechanism largely independent of . These data cannot be reconciled with a delocalized chemiosmotic coupling model.     

The effect of ammonium ions upon isolated reactions of the glycolytic scheme

In the glycolytic system derived from rat brain acetone powder, ammonium ion has been found to stimulate three different reactions: (a) the transphosphorylase reaction from phosphoenolpyruvate, (b) the phosphohexokinase reaction, and (c) the hexokinase reaction. The transphosphorylases are affected differently depending upon whether adenosine diphosphate or adenylic acid is the phosphate acceptor; in the case of the latter, the dependency upon $\text{NH}{}_4{}^{\mathrm{+}}$ is particularly marked. A highly active myokinase is present in these extracts and its activity influences the transphosphorylase reaction to a considerable extent. The phosphohexokinase reaction is stimulated to a greater extent by $\text{NH}{}_4{}^{\mathrm{+}}$ than is the hexokinase reaction. In contrast to these reactions which require the participation of the adenylic system, triose phosphate oxidase activity is uninfluenced by the presence of $\text{NH}{}_4{}^{\mathrm{+}}$.     

Respiration-driven proton translocation with nitrite and nitrous oxide in Paracoccus denitrificans

(1) $\text{H}$⁺/electron acceptor ratios have been determined with the oxidant pulse method for cells of denitrifying Paracoccus denitrificans oxidizing endogenous substrates during reduction of O₂, NO^?₂ or N₂O. Under optimal H⁺-translocation conditions, the ratios $\text{H}{}^{\mathrm{+}}\text{O}$, $\text{H}{}^{\mathrm{+}}\text{N}{}_2\text{O}$, $\text{H}{}^{\mathrm{+}}\text{NO}{}^{\mathrm{?}}{}_2$ for reduction to N₂ and $\text{H}{}^{\mathrm{+}}\text{NO}{}^{\mathrm{?}}{}_2$ for reduction to N₂O were 6.0–6.3, 4.02, 5.79 and 3.37, respectively. (2) With ascorbate/N,N,N′,N′-tetramethyl-p-phenylenediamine as exogenous substrate, addition of NO^?₂ or N₂O to an anaerobic cell suspension resulted in rapid alkalinization of the outer bulk medium. $\text{H}{}^{\mathrm{+}}\text{N}{}_2\text{O}$, $\text{H}{}^{\mathrm{+}}\text{NO}{}^{\mathrm{?}}{}_2$ for reduction to N₂ and $\text{H}{}^{\mathrm{+}}\text{NO}{}^{\mathrm{?}}{}_2$ for reduction to N₂O were ?0.84, ?2.33 and ?1.90, respectively. (3) The $\text{H}{}^{\mathrm{+}}\text{oxidant}$ ratios, mentioned in item 2, were not altered in the presence of $\text{valinomycin}\text{K}{}^{\mathrm{+}}$ and the triphenylmethylphosphonium cation. (4) A simplified scheme of electron transport to O₂, NO^?₂ and N₂O is presented which shows a periplasmic orientation of the nitrite reductase as well as the nitrous oxide reductase. Electrons destined for NO^?₂, N₂O or O₂ pass two H⁺-translocating sites. The $\text{H}{}^{\mathrm{+}}\text{electron}$ acceptor ratios predicted by this scheme are in good agreement with the experimental values.     

The composition-dependence of the extent of reaction between a multivalent acceptor and a bivalent ligand: Implications of self-interaction of the ligand in precipitin effects

Theory is presented relating to the reversible interaction of an f-valent acceptor, A, with a bivalent ligand, B, which leads to the formation of a series of complexes comprising networks of alternating A and B molecules. An explicit expression is derived for the overall extent of reaction in terms of the total molar concentrations of reactants $\text{(}\text{m}{}_{\mathrm{A}}$ and $\text{m}{}_{\mathrm{B}}\text{)}$, the valency of the acceptor and the site-binding constant, k, governing the equilibria. It is shown by differentiation of this expression holding $\text{m}{}_{\mathrm{A}}$ (or $\text{m}{}_{\mathrm{B}}$) fixed that relations are available for the independent evaluation of f and k from a combination of precipitin and radioimmunoassay experiments. Moreover, it is established that dilution with solvent ($\text{m}{}_{\mathrm{A}}\text{/}\text{m}{}_{\mathrm{B}}$ fixed) cannot lead to the appearance of a precipitate with this type of crosslinking system. The latter observation forms the background for the development of theory pertaining to the joint operation of ligand dimerization, 2B?B₂, and crosslinking of the multivalent acceptor with bivalent B₂. The theoretical examination of this system is developed in terms of site-probability functions and involves the delineation of unique solutions for the extent of crosslinking reaction aided by the definition of the extent of binding in defined limits. It is shown with the use of numerical examples that the system involving self-associating ligand may result in the appearance of a precipitate on dilution with solvent and the conditions for the operation of this phenomenon are elucidated. It is noted that other types of ligand self-interaction may lead to similar effects in crosslinking systems, and the general principles emerging from this study are discussed in terms of systems in which antibody ligands are known to be involved in association reactions or are suspected to be so involved on the basis of precipitation effects observed on dilution with solvent.     

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.     

Opposite modulation by uncoupling and electron transport limitation of the Kmapp of ADP for photophosphorylation

The $\text{K}{}_{\mathrm{m}}{}^{\mathrm{(app)}}$ of ADP for photophosphorylation in lettuce chloroplasts was measured both at various light intensities and in the presence of various uncoupler (nigericin + K⁺) concentrations. Lowering the light intensity results in both, a decrease in the rate of phosphorylation and a several fold $\text{decrease}$ in the $\text{K}{}_{\mathrm{m}}{}^{\mathrm{(app)}}$ of ADP for the reaction. However, when increasing concentrations of the uncoupler nigericin + K⁺ are employed, the rate of photophosphorylation is decreased but a several-fold $\text{increase}$ in the $\text{K}{}_{\mathrm{m}}{}^{\mathrm{(app)}}$ of ADP for the reaction is observed. The results are discussed in terms of the chemiosmotic hypothesis. It is suggested that these effects might indicate the existence of a mechanism controlling the rate of ATP formation which is different than the formation of the electrochemical gradient.