Determination of the transmembrane proton gradient in the anaerobic bacterium Desulfovibrio desulfuricans by 31P nuclear magnetic resonance

The transmembrane proton gradient of the sulfate-reducing bacterium Desulfovibrio desulfuricans strain CSN has been determined by in vivo³¹P nuclear magnetic resonance (NMR) spectroscopy in the absence of dioxygen. At pH 7.0 in the medium (pH_ex) the intracellular pH (pH_in) was 7.5. By lowering pH_ex to 5.9 pH_in decreased to 7.1. At pH_ex greater than 7.7 the transmembrane proton gradient (pH) was zero. The uncouplers 3,3,4,5-tetrachlorosalicylanilide (TCS) and carbonylcyanide-m-chlorophenylhydrazone (CCCP), or the permeant anion thiocyanate caused complete dissipation of pH.Abbreviations CCCP carbonylcyanide-m-chlorophenylhydrazone - TCS 3,3,4,5-tetrachlorosalicylanilide - MOPS 3-(N-morpholino)-propanesulfonic acid - P _i inorganic phosphate - pH _in (pH_ex) intracellular (extracellular) pH - pH transmembrane proton gradient (pH_in-pH_ex) - electrochemical membrane potential - chemical shift in parts per million - NMR nuclear magnetic resonance     

Steady state changes in mitochondrial electrical potential and proton gradient in perfused liver from rats fed a high fat diet

In this work the protonmotive force (p), as well as the subcellular distribution of malate, ATP, and ADP were determined in perfused liver from rats fed a low fat or high fat diet, using density gradient fractionation in non acqueous solvents.Rats fed a high fat diet, despite an enhanced hepatic oxygen consumption, exhibit similar p to that found in rats fed a low fat diet, but when we consider the two components of p, we find a significant decrease in mitochondrial/cytosolic pH difference (pH_m) and a significant increase in mitochondrial membrane potential (_m) in rats fed a high fat diet compared to rats fed a low fat diet, which tend to compensate each other. In rats fed a high fat diet the concentration ratio of malate and ATP/ADP does not reflect the changes in pH_m and _m, which represent the respective driving force for their transport.The findings are in line with an increase in substrate supply to the respiratory chain which is, however, accompanied by a higher energy turnover in livers from HFD rats. By this way the liver could contribute to the lack of weight gain from the high caloric intake in HFD rats.     

Involvement of cytoplasmic pH in the production of ethylene,a potent inducer of sexual development inDictyostelium mucoroides

Summary Dictyostelium mucoroides-7 (Dm 7) and a mutant MF 1 derived from it exhibit two developmental pathways: sorocarp formation occurs during the asexual process, and macrocyst formation during the sexual cycle. The two developmental pathways are mainly regulated by two chemical substances: 3,5-cyclic adenosine monophosphate (cAMP) and ethylene. Recently, we have demonstrated that cytoplasmic pH (pH_i) has a critical role for the choice of developmental pathways, higher pH_i being favourable to macrocyst formation. Thereupon, attention was riveted to the relation of pH_i to biosynthesis of cAMP and ethylene. Effect of pH_i on the production and release of ethylene, a potent inducer of macrocyst formation, was examined, using the two facing culture method. The result showed that lowered pH_i inhibits ethylene production, thus resulting in a failure of cells to form macrocysts. The accumulation of cAMP, an inhibitor of macrocyst formation, was found to vary depending on extracellular pH (pH_o), but diethylstilbestrol (DES) that is a proton pump inhibitor and also an inhibitor of macrocyst formation had no significant effect on the accumulation. Taken together these results indicate that higher pH_i may induce macrocyst formation through enhancement of ethylene production rather than inhibition of cAMP synthesis.Abbreviations cAMP 3,5-cyclic adenosine monophosphate - pH_i cytoplasmic pH - pH_o extracellular pH - ACC 1-1-aminocyclopropane-1-carboxylic acid     

A pyrophosphate bridge links the pyruvate-containing secondary cell wall polymer of Paenibacillus alvei CCM 2051 to muramic acid

The peptidoglycan, the secondary cell wall polymer (SCWP), and the surface layer (S-layer) glycoprotein are the major glycosylated cell wall components of Paenibacillus alvei CCM 2051. In this report, the complete structure of the SCWP, its linkage to the peptidoglycan layer, and its physicochemical properties have been investigated. From the combined evidence of chemical and structural analyses together with one- and two-dimensional nuclear magnetic resonance spectroscopy, the following structure of the SCWP-peptidoglycan complex is proposed:[(Pyr4,6)--D-Manp NAc-(14)--D-Glcp NAc-(13)]_ñ11-(Pyr4,6)--D-Manp NAc-(14)--D-Glcp NAc-(1O)-PO₂-O-PO₂-(O6)-MurNAc-Each disaccharide unit is substituted by 4,6-linked pyruvic acid residues. Under mild acidic conditions, up to 50% of them are lost, leaving non-substituted ManNAc residues. The anionic glycan chains constituting the SCWP are randomly linked via pyrophosphate groups to C-6 of muramic acid residues of the peptidoglycan layer. ³¹P NMR reveals two signals that, as a consequence of micelle formation, experience different line broadening. Therefore, their integral ratio deviates significantly from 1:1. By treatment with ethylenediaminetetraacetic acid, sodium dodecyl sulfate, and sonication immediately prior to NMR measurement, this ratio approaches unity. The reversibility of this behavior corroborates the presence of a pyrophosphate linker in this SCWP-peptidoglycan complex.In addition to the determination of the structure and linkage of the SCWP, a possible scenario for its biological function is discussed.     

The electrochemical H+ gradient in the yeastRhodotorula glutinis

The electrochemical gradient of protons, , was estimated in the obligatory aerobic yeastRhodotorula glutinis in the pH₀ range from 3 to 8.5. The membrane potential, , was measured by steady-state distribution of the hydrophobic ions, tetraphenylphosphonium (TPP⁺) for negative above pH₀ 4.5, and thiocyanate (SCN^–) for positive below pH₀ 4.5. The chemical gradient of H⁺ was determined by measuring the chemical shift of intracellular P_i by³¹P-NMR at given pH₀ values. The values of pH_i increased almost linearly from 7.3 at pH₀ 3 to 7.8 at pH₀ 8.5. In the physiological pH₀ range from 3.5 to 6, was fairly constant at values between 17–18 KJ mol^–1, gradually decreasing at pH₀ above 6. In deenergized cells, the intracellular pH_i decreased to values as low as 6, regardless of whether the cell suspension was buffered at pH₀ 4.5 or 7.5. There was no membrane potential detectable in deenergized cells.     

Intracellular pH regulation by the plasma membrane V-ATPase in Malpighian tubules of Drosophila larvae

The functional significance of the apical vacuolar-type proton pump (V-ATPase) in Drosophila Malpighian tubules was studied by measuring the intracellular pH (pH_i) and luminal pH (pH_lu) with double-barrelled pH-microelectrodes in proximal segments of the larval anterior tubule immersed in nominally bicarbonate-free solutions (pH_o 6.9). In proximal segments both pH_i (7.43±0.20) and pH_lu (7.10±0.24) were significantly lower than in distal segments (pH_i 7.70±0.29, pH_lu 8.09±0.15). Steady-state pH_i of proximal segments was much less sensitive to changes in pH_o than pH of the luminal fluid (pH_lu/pH_o was 0.49 while pH_i/pH_o was 0.18; pH_o 6.50–7.20). Re-alkaliniziation from an NH₄Cl-induced intracellular acid load (initial pH_i recovery rate 0.55±0.34 pH·min^-1) was nearly totally inhibited by 1 mmol·l^-1 KCN (96% inhibition) and to a large degree (79%) by 1 mol·l^-1 bafilomycin A₁. In contrast, both vanadate (1 mmol·l^-1) and amiloride (1 mmol·l^-1) inhibited pH_i recovery by 38% and 33%, respectively. Unlike amiloride, removal of Na⁺ from the bathing saline had no effect on pH_i recovery, indicating that a Na⁺/H⁺ exchange is not significantly involved in pH_i regulation. Instead pH_i regulation apparently depended largely on the availability of ATP and on the activity of the bafilomycin-sensitive proton pump.Abbreviations DMSO dimethylsulphoxide - DNP 2,4-dinitrophenol - NMDG N-methyl-D-glucamine - pH_i intracellular pH - pH_lu pH of the luminal fluid - pH_o pH of the superfusion medium - _I intrinsic intracellular buffer capacity     

A genetic map of soybean (Glycine max L.) using an intraspecific cross of two cultivars: ‘Minosy’ and ‘Noir 1’

Genetic markers were mapped in segregating progeny from a cross between two soybean (Glycine max (L.) Merr.) cultivars: Minsoy (PI 27.890) and Noir 1 (PI 290.136). A genetic linkage map was constructed (LOD 3), consisting of 132 RFLP, isozyme, morphological, and biochemical markers. The map defined 1550cM of the soybean genome comprising 31 linkage groups. An additional 24 polymorphic markers remained unlinked. A family of RFLP markers, identified by a single probe (hybridizing to an interspersed repeated DNA sequence), extended the map, linking other markers and defining regions for which other markers were not available.     

Mechanism of Na+/proline symport inEscherichia coli: Reappraisal of the effect of cation binding to the Na+/proline symport carrier

Summary Recently we proposed that cytoplasmic acidification of low K⁺ (LK) sheep erythrocytes may stimulate ouabain-resistant Cl^–-dependent K⁺ flux (K⁺Cl^– cotransport), also known to be activated by cell swelling, treatment with N-ethylmaleimide (NEM), or removal of cellular bivalent cations. Here we studied the dependence of K⁺ transport on intracellular and extracellular pH (pH _i , pH _o ) varied either simultaneously or independently using the Cl^–/HCO ₃ ^– exchange inhibitor 4,4, diisothiocyanatostilbene-3,2-disulfonic acid (DIDS). In both control and NEM-treated LK cells volumes were kept near normal by varying extracellular sucrose. Using DIDS as an effective pH clamp, both K⁺ efflux and influx of Rb⁺ used as K⁺ congener were strongly activated at acid pH _i and alkaline pH _o . A small stimulation of K⁺ (Rb⁺) flux was also seen at acid pH _i in the absence of DIDS, i.e., when pH _i pH _o . Anti-L _l serum, known to inhibit K⁺Cl^– cotransport, prevented the pH _i -stimulated K⁺ (Rb⁺) fluxes. Subsequent to NEM treatment at pH 6, K⁺ (Rb⁺) fluxes were activated only by raising pH, and thus were similar to the pH activation profile of K⁺ (Rb⁺) fluxes in DIDS-treated cells with pH _o varied at constant physiologic pH _i . Anti-L _l , which inhibited NEM-stimulated K⁺ (Rb⁺) fluxes, failed to do so in NEM-plus DIDS-treated cells. Thus, NEM treatment interferes with the internal but not with the external pH-sensitive site.     

Structure of F1-ATPases

F₁-ATPases are large multimeric proteins that can be isolated from the membrane bound system that catalyzes the phosphorylation of ADP by inorganic phosphate in bacteria, plants, and mitochondria. They can be visualized in electron micrographs of the inner mitochondrial membranes where they appear as large protruding spheres 90 Å in diameter. The purified F₁-ATPases have a molecular weight of 320,000 to 400,000 daltons and are composed of five non-identical subunits (, , , and ). The stoichiometry of these subunits in the complex is still unknown but compositions of the type ₃₃ and ₂₂₂₂₂ were found to be consistent with some of the available experimental data. This review discusses the recent data and the experimental approaches utilized for the structural characterization of F₁-ATPases.     

Measurement of internal pH in the coccolithophoreEmiliania huxleyi using 2′,7′-bis-(2-carboxyethyl)-5(and-6)carboxyfluorescein acetoxymethylester and digital imaging microscopy

Internal pH (pH_i) was determined inEmiliania huxleyi (Lohmann) using the probe 2,7-bis-(2-carboxyethyl)-5(and-6)carboxyfluoresceinacetoxymethylester (BCEF-AM) and digital imaging microscopy. The probe BCECF-AM was taken up and hydrolysed to the free acid by the cells. A linear relationship was established between pH_i and the 490/450 fluorescence ratio of BCECF-AM over the pH range 6.0 to 8.0 using the ionophore nigericin. Two distinct pH domains were identified within the cell, the cytoplasmic domain (approx. pH 7.0) and the chloroplast domain (approx. pH 8.0). The average pH_i was 7.29 (±0.11) for cells in the presence of 2 mM HCO ₃ ^– . In the absence of HCO ₃ ^– the pH_i was decreased by 0.8 pH unit. The importance of these changes in pH_i is considered in relation to inorganic-carbon uptake.Abbreviations AM acetoxymethylester - BCECF 2,7-bis-(2-carboxyethyl)-5(and-6)carboxyfluorescein - Hepes 4-(2-hydroxyethyl)-1-piperazine ethanesulfonic acid - pH_i intracellular pH     

Implications for cytoplasmic pH,protonmotice force,and amino-acid transport across the plasmalemma of Riccia fluitans

By means of pH-sensitive microelectrodes, cytoplasmic pH has been monitored continuously during amino-acid transport across the plasmalemma of Riccia fluitans rhizoid cells under various experimental conditions. (i) Contrary to the general assumption that import of amino acids (or hexoses) together with protons should lead to cytoplasmic acidification, an alkalinization of 0.1–0.3 pH_c units was found for all amino acids tested. Similar alkalinizations were recorded in the presence of hexoses and methylamine. No alkalinization occurred when the substrates were added in the depolarized state or in the presence of cyanide, where the electrogenic H⁺-pump is inhibited. (ii) After acidification of the cytoplasm by means of various concentrations of acetic acid, amino-acid transport is massively altered, although the protonmotive force remained essentially constant. It is suggested that H⁺-cotransport is energetically interconnected with the proton-export pump which is stimulated by the amino-acid-induced depolarization, thus causing proton depletion of the cytoplasm. It is concluded that, in order to investigate H⁺-dependent cotransport processes, the cytoplasmic pH must be measured and be under continuous experimental control; secondly, neither pH nor the protonmotive force across a membrane are reliable quantities for analysing a proton-dependent process.Abbreviations 3-OMG 3-oxymethylglucose - pH_c cytoplasmic pH - _m electrical potential difference across the respective membrane, i.e. membrane potential - _H+/F (=pmf) electrochemical proton gradient     

The ability of acidic pH,growth inhibitors,and glucose to increase the proton motive force and energy spilling of amino acid-fermenting <Emphasis Type="Italic">Clostridium sporogenes</Emphasis> MD1 cultures

Clostridium sporogenes MD1 grew rapidly with peptides and amino acids as an energy source at pH 6.7. However, the proton motive force (p) was only –25 mV, and protonophores did not inhibit growth. When extracellular pH was decreased with HCl, the chemical gradient of protons (ZpH) and the electrical membrane potential () increased. The p was –125 mV at pH 4.7, even though growth was not observed. At pH 6.7, glucose addition did not cause an increase in growth rate, but increased to –70 mV. Protein synthesis inhibitors also significantly increased . Non-growing, arginine-energized cells had a of –80 mV at pH 6.7 or pH 4.7, but was not detected if the F₁F₀ ATPase was inhibited. Arginine-energized cells initiated growth if other amino acids were added at pH 6.7, and and ATP declined. At pH 4.7, ATP production remained high. However, growth could not be initiated, and neither nor the intracellular ATP concentration declined. Based on these results, it appears that C. sporogenes MD1 does not need a large p to grow, and p appears to serve as a mechanism of ATP dissipation or energy spilling.Mandatory disclaimer: Proprietary or brand names are necessary to report factually on available data; however, the USDA neither guarantees nor warrants the standard of the product, and the use of the name by the USDA implies no approval of the product, and exclusion of others that may be suitable.     

Intracellular responses from the photosensitive pineal organ of the teleost,Phoxinus phoxinus

Summary Intracellular potentials from the isolated dark-adapted pineal organ ofPhoxinus phoxinus were recorded by using glass microelectrodes. The majority of cells had resting potentials of 20 to 35 mV and responded to light with intensitygraded hyperpolarizations. Voltage intensity curves of responses to brief flashes followed the hyperbolic tangent functionV/V _max=Iⁿ/(I ⁿ + ⁿ ).The latency of onset for responses to light stimuli near threshold was 400 ms and decreased with saturating flashes to about 50 ms. The membrane resistance decreased during the hyperpolarization. Spectral sensitivity measurements for these cells exhibited curves with _max=530 nm. Intracellular dye injection unequivocally identified this cell type as a photoreceptor cell.A second cell type with resting potentials between 30 to 40 mV exhibited a biphasic response pattern to light stimulation. The cell depolarized with dim light flashes and hyperpolarized with bright flashes. The amplitude of the hyperpolarizing component showed no saturation over an intensity range of 5 log units. Latencies and rise times were comparable to those of photoreceptor potentials. Spectral sensitivity curves peaked at longer wavelengths ( _max=550 nm) than the action spectra of photoreceptors ( _max=530 nm). It is assumed that this rare cell type represents a small class of pineal interneurons.     

Bacillus stearothermophilus KP 1064 pullulan hydrolase

Summary A pullulan hydrolase of Bacillus stearothermophilus KP 1064 was purified homogeneously. The molecular weight, Stokes radius, sedimentation coefficient (s₂₀, w), extinction coefficient at 280 nm and pH 6.8, and isoelectric point were estimated as 115,000, 4.16 nm, 5.5 S, 1.92 cm²·mg^-1 and 4.4, respectively. The enzyme consisted of two identical subunits each comprising a methionine residue at the NH₂-terminus. The enzyme hydrolysed pullulan, amylopectin, soluble starch, amylose, -and -limit dextrins, - and -cyclodextrins, phenyl-d-maltoside, maltotriose, and maltopentaose. The main products from amylose and pullulan were maltose and panose, respectively. The substrate specificity, along with the pattern of products, suggested the assignment of the enzyme to a unique type of maltogenic -amylase (1,4-d-glucan glucanohydrolase, EC. 3.2.1.1).Presented at the Annual Meeting of the Agricultural Chemical Society of Japan, Sendai, 30 March 1983.     

Lactic acid excretion via carrier-mediated facilitated diffusion in Lactobacillus helveticus

Summary During growth on a complex medium containing 2% (w/v) lactose, Lactobacillus helveticus produced about 180 mm lactate. Due to the acidification, the external pH decreased to 3.7. The pH remained constant at a level of 0.5–0.7 units (40 mV), and µ_Lac decreased gradually from –60 to 0 mV. The mechanism of lactate extrusion was studied with resting cells. Upon dilution of lactate-loaded cells in a buffer containing [¹⁴C]-lactate, a typical counterflow was observed, suggesting that a carrier system was employed in lactate excretion. Influx of lactate could not be driven by an artificial membrane potential, indicating that lactate was electroneutrally transported. By examining efflux under various lactate anion and lactic acid concentrations, the undissociated form of the acid was shown to influence the velocity of the transport process. A pH-dependent apparent K _m value of the carrier system was observed in efflux experiments with increasing internal lactate concentrations. It was concluded that the mode of end-product excretion can be defined as a carrier-mediated facilitated diffusion with the undissociated lactic acid or the lactate anion in symport with one proton, respectively, as the object of transport.Abbreviations L _tota total lactate - L _undissb free lactic acid - L _dissc lactate anion - pH_ed external pH - pH_ie internal pH - pH transmembrane H⁺ gradient - µ_Lacf transmembrane gradient of total lactate - µ_HLg transmembrane gradient of the free lactic acid - µ_Lh transmembrane gradient of the lactate anion - V _Effii efflux velocity Offprint requests to: G. Gottschalk     

Average phase difference theory and 1∶1 phase entrainment in interlimb coordination

The dynamics of coupled biological oscillators can be modeled by averaging the effects of coupling over each oscillatory cycle so that the coupling depends on the phase difference between the two oscillators and not on their specific states. Average phase difference theory claims that mode locking phenomena can be predicted by the average effects of the coupling influences. As a starting point for both empirical and theoretical investigations, Rand et al. (1988) have proposed d/dt= — K sin ), with phase-locked solutions =arcsin( /K), where is the difference between the uncoupled frequencies and K is the coupling strength. Phase-locking was evaluated in three experiments using an interlimb coordination paradigm in which a person oscillates hand-held pendulums. was controlled through length differences in the left and right pendulums. The coupled frequency _c was varied by a metronome, and scaled to the eigenfrequency _v of the coupled system K was assumed to vary inversely with _c. The results indicate that: (1) and K contribute multiplicatively to (2) =0 or = regardless of K when =0; (3) 0 or regardless of when K is large (relative to ); (4) results (1) to (3) hold identically for both in phase and antiphase coordination. The results also indicate that the relevant frequency is _c/_v rather than _c. Discussion high-lighted the significance of confirming =arcsin(/K) for more general treatments of phase-locking, such as circle map dynamics, and for the 11 phase-entrainment which characterizes biological movement systems.     

The bioenergetics of ammonia and hydroxylamine oxidation in Nitrosomonas europaea at acid and alkaline pH

Autotrophic ammonia oxidizers depend on alkaline or neutral conditions for optimal activity. Below pH 7 growth and metabolic activity decrease dramatically. Actively oxidizing cells of Nitrosomonas europaea do not maintain a constant internal pH when the external pH is varied from 5 to 8. Studies of the kinetics and pH-dependency of ammonia and hydroxylamine oxidation by N. europaea revealed that hydroxylamine oxidation is moderately pH-sensitive, while ammonia oxidation decreases strongly with decreasing pH. Oxidation of these oxogenous substrates results in the generation of higher proton motive force which is mainly composed of a . Hydroxylamine, but not ammonia, is oxidized at pH 5, which leads to the generation of a high proton motive force which drives energy-dependent processes such as ATP-synthesis and secondary transport of amino acids.Endogenoussubstrates can be oxidized between pH 5 to 8 and this results in the generation of a considerable proton motive force which is mainly composed of a . Inhibition of ammonia-mono-oxygenase or cytochrome aa3 does not influence the magnitude of this gradient or the oxygen consumption rate, indicating that endogenous respiration and ammonia oxidation are two distinct systems for energytransduction.The results indicate that the first step in ammonia oxidation is acid sensitive while the subsequent steps can take place and generate a proton motive force at acid pH.     

Infrared analysis of eleven carrageenophytes from Baja California,Mexico

Infrared analyses of the carrageenan in ten species (representing four genera) of Gigartinaceae and one species of Hypneaceae in different reproductive phases from the northwestern coast of Baja California were studied. Cystocarpic samples of the Gigartinaceae presented varying degrees of a / hybrid. The degree of hybridization was determined based on the ratio between the peak absorbances at 805/845 cm^–1. A high correlation was observed between the 805/845 cm^–1 and 805/970 cm^–1 ratios. Tetrasporic samples of Gigartina leptorhynchos, Iridaea splendens, Rhodoglossum affine and R. roseum, presented a -carrageenan profile, whereas Gigartina tepida, G. exasperata, G. harveyana, G. canaliculata and G. spinosa presented a -carrageenan. The tetrasporic sample of Hypnea valentiae showed a -carrageenan with a very low degree of hybridization.     

Electric field-induced breakdown of lipid bilayers and cell membranes: A thin viscoelastic film model

Summary A simple viscoelastic film model is presented, which predicts a breakdown electric potential having a dependence on the electric pulse length which approximates the available experimental data for the electric breakdown of lipid bilayers and cell membranes (summarized in the reviews of U. Zimmermann and J. Vienken, 1982,J. Membrane Biol. 67:165 and U. Zimmermann, 1982,Biochim. Biophys. Acta 694:227). The basic result is a formula for the time of membrane breakdown (up to the formation of pores): =(/C)/( _m ² ₀ ² U ⁴/24Gh ³+T ²/Gh–1), where is a proportionality coefficient approximately equal to ln(h/2₀),h being the membrane thickness and ₀ the amplitude of the initial membrane surface shape fluctuation ( is usually of the order of unity), represents the membrane shear viscosity,G the membranes shear elasticity modules, _m the membrane relative permittivity, ₀=8.85×10^–12 Fm,U the electric potential across the membrane, the membrane surface tension andT the membrane tension. This formula predicts a critical potentialU _c ;U _c =(24Gh ³/ _m ² ₀ ² )^1/4 (for = andT=0). It is proposed that the time course of the electric field-induced membrane breakdown can be divided into three stages: (i) growth of the membrane surface fluctuations, (ii) molecular rearrangements leading to membrane discontinuities, and (iii) expansion of the pores, resulting in the mechanical breakdown of the membrane.     

Photoperiodic time measurement in spider mites

Summary A model has been developed which describes in mathematical terms the incidence of diapause in the spider miteTetranychus urticae under different photoperiodic regimens. The model has been derived from Beck's (1974a, b, 1975, 1976a) Dual System Theory of photoperiodic time measurement, by means of a number of essential alterations and modifications. The spider mite's model is composed of two hour-glass timers, one of which starts at lights-off and measures the length of the night, whereas the other is initiated both by the onset of the first hour-glass timer and by lights-on. This second hour-glass defines the time at which the first hour-glass is read off, the state of the first hour-glass at this particular time being decisive for the developmental alternative (diapause or nondiapause) to be determined. The model may be classified as a form of internal coincidence according to the terminology of Pittendrigh (1972), since it is based on the interaction of two internal systems rather than on the coincidence of light with a particular light-sensitive phase of the timing mechanism, as in the case of external coincidence (cf. Saunders, 1978). Good agreement is attained between diapause incidences predicted by this model and incidences observed in spider mites, both in the diapause induction response curve and in asymmetrical skeleton photoperiods.The authors are grateful to Dr. S.D. Beck for the program printout of the Dual System Theory put at their disposal. It is also a pleasure to thank Miss C. van Ruth and Mr. G. van de Berg for technical assistance, and Mr. H. Bos for drawing the figures. The investigations were supported by a grant to the first author from the Netherlands Organization for the Advancement of Pure Research (ZWO).