Characterization of chlorophyll fluorescence quenching in chloroplasts by fluorescence spectroscopy at 77 K II. ATP-dependent quenching

In intact, uncoupled type B chloroplasts from spinach, added ATP causes a slow light-induced decline ($\text{t}{}_{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}\text{≈ 3}\text{min}$) of chlorophyll a fluorescence at room temperature. Fluorescence spectra were recorded after fast cooling to 77 K and normalized with fluorescein as an internal standard. Related to the fluorescence quenching at room temperature, an increase in Photosystem (PS) I fluorescence (F₇₃₅) and a decrease in PS II fluorescence (F₆₉₅) were observed in the low-temperature spectra. The change in the $\text{F}{}_{735}\text{F}{}_{695}$ ratio was abolished by the presence of methyl viologen. Fluorescence induction at 77 K of chloroplasts frozen in the quenched state showed lowered variable (F_v) and initial (F₀) fluorescence at 690 nm and an increase in F₀ at 735 nm. The results are interpreted as indicating an ATP-dependent change of the initial distribution of excitation energy in favor of PS I, which is controlled by the redox state of the electron-transport chain and, according to current theories, is caused by phosphorylation of the light-harvesting complex.     

Analysis of chlorophyll fluorescence induction curves in the presence of 3-(3,4-dichlorophenyl)-1,1-dimethylurea as a function of magnesium concentration and NADPH-activated light-harvesting chlorophyll ab-protein phosphorylation

The effect of Mg²⁺ concentration and phosphorylation of light-harvesting chlorophyll $\text{a}\text{b-}\text{protein}$ on various chlorophyll fluorescence induction parameters of isolated pea thylakoids has been studied. (1) Lowering the Mg²⁺ concentration from 3 to 0.4 mM decreases only the variable fluorescence (F_v) and the area above the induction curve while at the same time increasing the slow exponential component of the rise (β_max). (2) A further decrease in Mg²⁺ concentration from 0.4 to 0 mM decreases the initial (F₀) fluorescence level such that the ratio $\text{F}{}_{\mathrm{<mtext>v</mtext>}}\text{F}{}_{\mathrm{<mtext>m</mtext>}}$ increases slightly as does the area above the induction curve and β_max. (3) Thylakoid membranes, phosphorylated at 5 mM Mg²⁺, show an equal decrease in F_v and F₀, no change in the area above the induction curve and an increase in β_max. At 2 mM Mg²⁺, however, phosphorylation induced a more extensive quenching of F_v so that the $\text{F}{}_{\mathrm{<mtext>v</mtext>}}\text{F}{}_{\mathrm{<mtext>m</mtext>}}$ ratio was lowered and the area above the induction curve decreased while β_max increased. (4) When phosphorylated membranes were subsequently suspended in an Mg²⁺-free medium the effect on F₀ due to phosphorylation was found to be additive to that due to the absence of Mg²⁺. The effect of membrane phosphorylation on fluorescence is discussed in relation to the control of excitation energy distribution and shows that different mechanisms operate depending on the background Mg²⁺ levels. At high Mg²⁺ the phosphorylation seems to affect the absorption cross-section of Photosystem II while at lower Mg²⁺ levels there is an additional effect of increased spillover from Photosystem II to I.     

Influence of ionic strength upon the proton inventory for the water-catalyzed hydrolysis of N-acetylbenzotriazole

Proton inventory investigations of the hydrolysis N-acetylbenzotriazole at pH 3.0 (or the equivalent point on the pD rate profile) have been conducted at two different temperatures and at ionic strengths ranging from 0 to 3.0 M. The solvent deuterium isotope effects and proton inventories are remarkably similar over this wide range of conditions. The proton inventories suggest a cyclic transition state involving four protons contributing to the solvent deuterium isotope effect for the water-catalyzed hydrolysis. The hydrolysis data are described by the equation $\text{k}{}_{\mathrm{n}}\text{= k}{}_{\mathrm{<mtext>o</mtext>}}\text{(1 ? n + nπ}{}_{\mathrm{<mtext>a</mtext>}}{}^1\text{)}{}^4$ with $\text{π}{}_{\mathrm{<mtext>a</mtext>}}{}^1\text{～ 0.74}$, where k_o is the observed first-order rate constant in protium oxide, n is the atom fraction of deuterium in the solvent, k_n is the rate constant in a protium oxide-deuterium oxide mixture, and $\text{π}{}_{\mathrm{<mtext>a</mtext>}}{}^1$ is the isotopic fractionation factor.     

Calibration mixture for estimation of peptide molecular weight by exclusion chromatography.

A procedure is described for the rapid preparation of a partial cyanogen bromide digest of horse heart cytochrome c. This digest serves as a calibration mixture for estimation of peptide molecular weight in the range 500 to 20,000 by exelusion chromatography in denaturing solvents. The elution profile of the calibration mixture from Sephadex G-50 equilibrated and developed with 10% formic acid is described by the relationship log M = 4.79 ? 0.42 ($\text{V}{}_{\mathrm{<mtext>o</mtext>}}\text{V}{}_{\mathrm{<mtext>o</mtext>}}$).     

Development of the photosystem II unit in plastids of bean leaves greened in periodic light

The photosystem II (PS II) unit formation and development, as monitored by the kinetics of the fluorescence induction, was studied in greening protochloroplasts isolated from etiolated bean leaves exposed to periodic light-dark cycles (LDC). It was found that: (i) The protochloroplasts show the well-known biphasic induction. The $\text{F}{}_{\mathrm{<mtext>MAX</mtext>}}\text{F}{}_{\mathrm{<mtext>O</mtext>}}$ ratio increases with increasing exposure to LDC, and values almost twice as high as those of mature chloroplasts are reached. The fluorescence yield increases still more by the addition of NH₂OH. (ii) The ratio ($\text{F}{}_{\mathrm{<mtext>MAX</mtext>}}\text{-F}{}_{\mathrm{<mtext>O</mtext>}}\text{)}\text{F}{}_{\mathrm{<mtext>MAX</mtext>}}$, representing the yield of primary photochemistry, reaches values much higher than those of mature chloroplasts. (iii) The rate of fluorescence rise, in the presence or absence of 3-(3,4-dichlorophenyl)-1,1-di-methylurea (DCMU), is at least seven times slower than that of mature chloroplasts, and it remains constant during exposure to LDC. (iv) The shape of the fluorescence kinetics is exponential early during exposure to LDC but later it becomes sigmoidal, indicating the development of energy transfer between PS II units, (v) Dark incubation after a number of LDC increases the $\text{F}{}_{\mathrm{<mtext>MAX</mtext>}}\text{F}{}_{\mathrm{<mtext>O</mtext>}}$ ratio without changing the rate of the fluorescence rise, (vi) Transfer of the plants from LDC to continuous illumination induces a decrease in the $\text{F}{}_{\mathrm{<mtext>MAX</mtext>}}\text{F}{}_{\mathrm{<mtext>O</mtext>}}$ ratio and an increase in the rate of the fluorescence rise. The results indicate that initially small PS II units are formed, which contain mainly the reaction center with a few chlorophyll a molecules closely packed around it. At the same time H₂O-splitting enzymes are synthesized which, however, are light activated. These small units are very efficient for photochemistry. As the number of small units increases, aggregates are formed, which seem to have the reaction centers very close to each other. The aggregation of the units is controlled by the structural development and organization of the membrane and not by the concentration and type of chlorophyll. The excess chlorophyll formed after further exposure to continuous illumination is inserted into preexisting units, thus increasing their size and making them more efficient in absorbing the incident light.     

Characterization of chlorophyll fluorescence quenching in chloroplasts by fluorescence spectroscopy at 77 K I. ΔpH-dependent quenching

The nature of the light-induced ΔpH-dependent decline of chlorophyll a fluorescence in intact and broken spinach chloroplasts was investigated. Fluorescence spectra at 77 K of chloroplasts frozen in the low-fluorescent (high ΔpH) state showed increased ratios of the band peak at 735 nm (Photosystem (PS) I fluorescence) to the peak at 695 nm (PS II fluorescence). The increase in the $\text{F}{}_{735}\text{F}{}_{695}$ ratio at 77 K was related to the extent of fluorescence quenching at room temperature. Normalization of low-temperature spectra with fluorescein as an internal standard revealed a lowering of F₆₉₅ that was not accompanied by an increase in F₇₃₅: preillumination before freezing decreased both F₆₉₅ and, to a lesser extent, F₇₃₅ in the spectra recorded at 77 K. Fluorescence induction of chloroplasts frozen in the low-fluorescent state showed a markedly decreased variable fluorescence (F_v) of PS II, but no concomitant increase in initial fluorescence (F₀) of PS I. Thus, the buildup of a proton gradient at the thylakoid membrane, as reflected by fluorescence quenching at room temperature, affects low-temperature fluorecence emission in a manner entirely different from the effect of removal of Mg²⁺, which is thought to alter the distribution of excitation energy in favor of PS I. The ΔpH-dependent quenching therefore cannot be caused by such change in energy distribution and is suggested to reflect increased thermal deactivation.     

The reconstitution of a Photosystem II protein complex, P-700-chlorophyll a-protein complex and light-harvesting chlorophyll ab-protein

A Photosystem II reaction centre protein complex was extracted from spinach chloroplasts using digitonin. This complex showed (i) high rates of dichloroindophenol and ferricyanide reduction in the presence of suitable donors, (ii) low-temperature fluorescence at 685 nm with a variable shoulder at 695 nm which increased as the complex aggregated due to depletion of digitonin and (iii) four major polypeptides of 47, 39, 31 and 6 kDa on dissociating polyacrylamide gels. The Photosystem II protein complex, together woth the P-700-chlorophylla protein complex and light-harvesting chlorophyll $\text{a}\text{b-}\text{protein}$ complex (LHCP) also isolated using digitonin, were reconstituted with lipids from spinach chloroplasts to form proteoliposomes. The low-temperature (77 K) fluorescence properties of the various proteoliposomes were analysed. The $\text{F}{}_{685}\text{F}{}_{695}$ ratios of the Photosystem II reaction centre protein complex-liposomes decreased as the lipid to protein ratios were increased. The $\text{F}{}_{681}\text{F}{}_{697}$ ratios of LHCP-liposomes were found to behave similarly. Light excitation of chlorophyll b at 475 nm stimulated emission from both the Photosystem II protein complex (F₆₈₅ and F₆₉₅) and the P-700-chlorophyll a-protein complex (F₇₃₅) when LHCP was reconstituted with either of these complexes, demonstrating energy transfer between LHCP and PS I or II complexes in liposomes. No evidence was found for energy transfer from the PS II complex to the P-700-chlorophyll a-protein complex reconstituted in the same proteoliposome preparation. Proteoliposome preparations containing all three chlorophyll-protein complexes showed fluorescence emission at 685, 700 and 735 nm.     

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.     

Studies of the nucleotide-binding sites on the mitochondrial F1-ATPase through the use of a photoactivable derivative of adenylyl imidodiphosphate

(1) $\text{N-4-}\text{Azido}\text{-2-}\text{nitrophenyl}\text{-γ-[}{}^3\text{H]aminobutyryl-Ado}\text{PP[}\text{NH}\text{]P(}\text{NAP}{}_4\text{-}\text{Ado}\text{PP[}\text{NH}\text{]P)}$ a photoactivable derivative of 5-adenylyl imidodiphosphate (AdoPP[NH]P), was synthesized. (2) Binding of ³H]NAP₄-AdoPP[NH]P to soluble ATPase from beef heart mitochrondria (F₁) was studied in the absence of photoirradiation, and compared to that of $\text{[}{}^3\text{H]Ado}\text{PP[}\text{NH}\text{]P}$. The photoactivable derivative of AdoPP[NH]P was found to bind to F₁ with high affinity, like AdoPP[NH]P. Once $\text{[}{}^3\text{H]NAP}{}_4\text{-}\text{Ado}\text{PP[}\text{NH}\text{]P}$ had bound to F₁ in the dark, it could be released by AdoPP[NH]P, ADP and ATP, but not at all by NAP₄ or AMP. Furthermore, preincubation of F₁ with unlabeled AdoPP[NH]P, ADP, or ATP prevented the covalent labeling of the enzyme by $\text{[}{}^3\text{H]NAP}{}_4\text{-}\text{Ado}\text{PP[}\text{NH}\text{]P}$ upon photoirradiation. (3) Photoirradiation of F₁ by $\text{[}{}^3\text{H]NAP}{}_4\text{-}\text{Ado}\text{PP[}\text{NH}\text{]P}$ resulted in covalent photolabeling and concomitant inactivation of the enzyme. Full inactivation corresponded to the binding of about 2 mol $\text{[}{}^3\text{H]NAP}{}_4\text{-}\text{Ado}\text{PP[}\text{NH}\text{]P}\text{mol F}{}_1$. Photolabeling by NAP₄-AdoPP[NH]P was much more efficient in the presence than in the absence of MgCl₂. (4) Bound $\text{[}{}^3\text{H]NAP}{}_4\text{-}\text{Ado}\text{PP[}\text{NH}\text{]P}$ was localized on the α- and β-subunits of F₁. At low concentrations (less than 10 μM), bound $\text{[}{}^3\text{H]NAP}{}_4\text{-}\text{Ado}\text{PP[}\text{NH}\text{]P}$ was predominantly localized on the α-subunit; at concentrations equal to, or greater than 75 μM, both α- and β-subunits were equally labeled. (5) The extent of inactivation was independent of the nature of the photolabeled subunit (α or β), suggesting that each of the two subunits, α and β, is required for the activity of F₁. (6) The covalently photolabeled F₁ was able to form a complex with aurovertin, as does native F₁. The ADP-induced fluorescence enhancement was more severely inhibited than the fluorescence quenching caused by ATP. The percentage of inactivation of F₁ was virtually the same as the percentage of inhibition of the ATP-induced fluorescence quenching, suggesting that fluorescence quenching is related to the binding of ATP to the catalytic site of F₁.     

Connection between the rate of cooling and fluorescence properties at 77 K of isolated chloroplasts

Cooling of chloroplasts to ?196°C can under certain circumstances lead to an erroneous analysis of energy distribution. After minimizing influences of sample geometry and effects of plastid concentration it is shown that externally induced membrane change leads to an increase in the ratio $\text{F}{}_{740}\text{F}{}_{687}$ of the fluorescence emission spectrum. Similar alterations can be observed by variation of the rate of cooling the plastids to 77 K, especially if whole chloroplasts are used. The differences in emission ratios are indicative also of changes in initial energy distribution between the photosystems, given here by the value α_N. This is inferred from experiments with either osmotically induced thylakoid disturbances or those effected through a slow cooling process. The circumstances and the significance of these observations are discussed.     

Energy fluxes and driving forces for photosynthesis in Lemna minor exposed to herbicides

Analysis of fast chlorophyll fluorescence rise OJIP was carried out to assess the impact of diuron, paraquat and flazasulfuron on energy fluxes and driving forces for photosynthesis in Lemna minor. Results showed that diuron and paraquat treatment produced major changes in electron transport in active reaction centres (RCs). However, diuron had a more pronounced effect on the yield of electron transport per trapped exciton (ψ₀) than on the yield of primary electron transport (φP₀)$({\phi }_{{\text{P}}_0})$ showing that dark reactions are more sensitive to diuron than light-dependent reactions. In contrast, paraquat treatment effects were not due to a target-specific action on those dark and light reactions. Paraquat also induced a marked surge in the total absorption of photosystem II (PSII) antenna chlorophyll per active RC displaying a large increase of the dissipation of excess energy through non-photochemical pathways (thermal dissipation processes). Flazasulfuron induced a slight decrease of both the total driving force for photosynthesis and the quantum yield of electron transport beyond Q_A⁻ combined to a small but significant increase of the non-photochemical energy dissipation per RC (DI₀/RC). We conclude that energy fluxes and driving force for photosynthesis generate useful information about the behaviour of aquatic plant photosystems helping to localize different target sites and to distinguish heterogeneities inside the PSII complexes. Regardless of the active molecule tested, the DF_ABS, φE₀${\phi }_{{\text{E}}_0}$, DI₀/RC and/or ET₀/RC parameters indicated a significant variation compared to control while φP₀${\phi }_{{\text{P}}_0}$ (F_V/F_M) showed no significant inhibition suggesting that those parameters are more sensitive for identifying a plant’s energy-use efficiency than the maximum quantum yield of primary PS II photochemistry alone.     

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.     

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.     

Model of singlet oxygen scavenging by α-tocopherol in biomembranes

Quenching of singlet molecular oxygen (${}^1\text{Δ}{}_{\mathrm{g}}\text{O}{}_2$) by α-tocopherol (I) involves the hydroxy function of the chromanol ring of I. In phosphatidylcholine (PC) uni- and multilamellar vesicles this structural element of I is localized at the interface polar headgroup/hydrophobic core. A dielectric constant of ? ～ 25 was determined for this special region of the PC bilayer. The ratio k_Q/k_R of rate constants of quenching processes (k_Q) and irreversible reactions (k_R) of I with ${}^1\text{Δ}{}_{\mathrm{g}}\text{O}{}_2$ increases with decreasing polarity of the solvent. In ethanolic solutions where ? = 25.5, k_Q/k_R is about 40. Extrapolation of these results to phospholipid bilayers suggests that at the nearness of the ester carbonyl oxygen of the PC fatty acid moieties, α-tocopherol can deactivate approximately 40 ${}^1\text{Δ}{}_{\mathrm{g}}\text{O}{}_2$ molecules before being destroyed. It is concluded that in vivo, one may expect to find a higher k_Q/k_R ratio if the chromanol ring of I hides within the more hydrophobic interiors of the membrane surface peptides.     

Evidence for general catalysis and formation of nitrobenzene in the oxidation of phenylhydroxylamine in aqueous phosphate buffer

N-Phenylhydroxylamine is oxidized in aqueous phosphate buffer to nitrosobenzene, nitrobenzene, and azoxybenzene. Degradation is O₂ dependent and shows general catalysis by $\text{H}{}_2\text{PO}{}_4{}^{\mathrm{?}}$ (k₁ = 2.3 M^?2 sec^?1) and $\text{PO}{}_4{}^{\mathrm{?3}}$ (k₂ = 2.3 × 10⁵M^?2 sec^?1) or kinetically equivalent terms. Evidence is presented suggesting the intermediacy of a highly reactive species leading to these products.     

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.     

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).     

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.