On the use of non-linear regression with the logistic equation for changes with time of percentage root length colonized by arbuscular mycorrhizal fungi

For the regression of sigmoid-shaped responses with time t of colonization C of roots by arbuscular mycorrhizal fungi, C=C _p/1+[e ^−k(t−ti) ] is the most useful form of the logistic equation. At the time of inflection t _i the slope is maximal and directly proportional to the product of the colonization plateau C _p and the abruptness k of the curve. Coefficient k has a high value when the curve rises abruptly following and preceding long shallow phases. The logistic equation has a curve that is symmetrical about t _i such that C=C _p/2 at inflection. Although the logistic equation can generate a good fit to many data sets for changes in colonization with time, there are cases that are not sigmoid and the logistic equation does not apply. For sigmoid curves, the lag in the development of colonization is directly related to both t _i and k but not to the plateau and not to the value of the maximum slope. Higher values of k or t _i reflect longer lag. When considered alone, t _i and k do not fully summarize the lag in colonization, and so a numerical method to combine them is presented here which allows lag to be compared between curves. In this method, the lag is evaluated by calculating the time during early colonization when the slope equals half of the value of the maximum slope. In summary, use of the logistic equation for regression of sigmoid curves of colonization with time allows numerical comparison between curves of the lag, the period of steep ascent, and the plateau. The logistic equation does not model directly the fundamental processes at work in the development of the mycorrhizae. Instead, it can be used as described here to gain insight into the colonization process by comparing the dynamics of that colonization for different species under various conditions. Accepted: 20 October 2000     

Kinetic study on unzippering of polynucleotides and order-order transition in polypeptides

Solutions are presented for N + 1 sequential and reversible first-order reactions for which the magnitude of the reverse rate constant, k_b, for all steps except the last is identical. Also the magnitude of the forward rate constant, k_f, for all steps except the first and last is identical. The initial and final steps are nucleation reactions; therefore, the initial and final k_f are modified by the factors σ′ and γ respectively. The final k_b is modified by the factor γ σ. The ratio k_b/k_f is defined as s, which has the same meaning as s in the Zimm-Bragg theory. The mathematical model is intended to apply to polymeric molecules of N segments and allows the calculation of the mole fraction of molecules in state i at any time t, C_i(t). A molecule in state i has i unreacted segments and N – i reacted ones. Because the reactions are sequential, all reacted segments are contiguous. Our numerical results show that when σ′ is much less than unity and the forward reaction is favored, the relaxation curve is sigmoidal. If, however, the forward and reverse reactions are equally favored (i.e., s ? 1) the relaxation curve is a straight line. When s and σ′ are near unity, the curve is exponential for a considerably large fraction of the reaction. Further, in the exponential for a considerably large fraction of the reaction. Further, in the exponential phase of the reaction, the relaxation time is proportional to N² for highly cooperative systems (i.e., Nσ ? 1). As found by Pipkin and Gibbs, if N is sufficiently large and s is less than unity (e.g., N ? 50 and s ?0.9) the relaxation curve is largely linear with a slope inversely proportional to N. Applications are given for the unwinding of double-helical poly(A·U) and the order–order transition in poly-L -proline.     

Estimating effects of constraints on plant performance with regression quantiles

Rates of change in final summer densities of two desert annuals, Eriogonum abertianum and Haplopappus gracilis, as constrained by their initial winter germination densities were estimated with regression quantiles and compared with mechanistic fits based on a self‐thinning rule proposed by Guo et al. (1998); Oikos 83: 237–245). The allometric relation used was equivalent to S=Nf (Ni)?1=cf (Ni)?1, where S is the ratio of final to initial densities (survivorship), cf is a constant that is a final density specific to the species and environment, Ni is the initial plant density, and Nf is final plant density. We used regression quantiles to estimate cf assuming the exponent of ?1 was fixed (model 1, Nf (Ni)?1=cf (Ni)?1) and also obtained estimates by treating the exponent as a parameter to estimate (model 2, Nf (Ni)?1=cf (Ni)λ). Regression quantiles allow rates of change to be estimated through any part of a data distribution conditional on some linear function of covariates. We focused on estimates for upper (90–99th) quantiles near the boundary of the summer density distributions where we expected effects of self‐thinning to operate as the primary constraint on plant performance. Allometric functions estimated with regression quantiles were similar to functions fit by Guo et al. (1998) when the exponent was constrained to ?1. However, the data were more consistent with estimates for model (2), where exponents were closer to ?0.4 than ?1, although model fit was not as good at higher initial plant densities as when the exponent was fixed at ?1. An exponential form (model 3, Nf (Ni)?1=cf (Ni)λ eγNi) that is a generalization of the discrete logistic growth function, where estimates of λ were ?0.23 to ?0.28 and estimates of γ were ?0.003 to ?0.006, provided better fit from low to high initial germination densities. Model 3 predictions were consistent with an interpretation that final summer densities were constrained by initial germination densities when these were low (<40 per 0.25 m2 for Eriogonum and <100 per 0.25 m2 for Haplopappus) and were constrained by the self‐thinning process at higher germination densities. Our exponential model (3) estimated with regression quantiles had similar form to the mechanistic relation of Guo et al. (1998) when plotted as a survivorship function, but avoided the unrealistic assumption that all populations attained a similar final density, and was based on a statistical model that has formal rules for estimation and inference.     

The role of cytosolic free calcium in the regulation of pyruvate dehydrogenase in synaptosomes

Calcium homeostasis and mitochondrial oxidative metabolism interact closely in brain and both processes are impaired during hypoxia. Since the regulation of the pyruvate dehydrogenase complex (PDHC) may link these two processes, the relation of cytosolic free calcium ([Ca²⁺]_i) to the activation state of PDHC (PDH_a) was assessed in isolated nerve terminals (i.e. synaptosomes) under conditions that alter [Ca²⁺]_i. K⁺ depolarization elevated [Ca²⁺]_i and PDH_a and both responses required external calcium. Treatment with KCN, an in vitro model of hypoxia decreased ATP and elevated [Ca²⁺]_i and PDH_a. Furthermore, in the presence of KCN, PDH_a became more sensitive to K⁺ depolarization as indicated by larger changes in PDH_a than in [Ca²⁺]_i. The calcium ionophore Br-A23187 elevated [Ca²⁺]_i, but did not affect PDH_a. K⁺ depolarization elevated [Ca²⁺]_i and PDH_a even if [Ca²⁺]_i was elevated by prior addition of ionophore or KCN. Previous in vivo studies by others show that PDH_a is altered during and after ischemia. The current in vitro results suggest that hypoxia, only one component of ischemia, is sufficient to increase PDH_a. These data also further support the notion that PDH_a is regulated by [Ca²⁺]_i as well as by other factors such as ATP. Our results are consistent with the concept that PDH_a in nerve endings may be affected by [Ca²⁺]_i and that these two processes are clearly linked.Abbreviations (PDH_a) Activation state of the pyruvate dehydrogenase complex - ([Ca²⁺]_i) cytosolic free calcium concentrations - (MOPS) 3(N-morpholino)propanesulfonic acid - (fura-2AM) fura-2 acetoxymethyl ester - (AABS) p-(p-aminophenylazo)benzene sulfonic acid - (PDHC) pyruvate dehydrogenase complex - (TES) N-tris{[hydroxymethyl]methyl}-2-amino-ethanesulfonic acid - (SNK-test) Student-Newman-Keuls test     

The qualitative analysis of a difference equation of population growth

The difference equation f _b :[0,1]–[0,1] defined by f _b (x)=b x(1–x) is studied. In particular complete qualitative information is obtained for the parameter value b=3.83. For example the number of fixed points of (f _b )ⁱ is given by

Synthesis,conformation, and activity of HCO-Met-ΔZ Leu-Phe-Ome,an active analogue of chemotactic N-formyltripeptides

In order to induce a β-turn conformation into the chemotactic linear tripeptide N-formyl-L -methionyl-L -leucyl-L -phenylalanine (fMLP), the new analogue N-formyl-L -methionyl-Δ^Zleucyl-L -phenylalanine methyl ester [ Δ^ZLeu]²f MLP-OMe ( 1 ) has been synthesized. The conformational and biochemical consequences of this chemical modification have been determined. Analogue 1 has been synthesized by using N-carboxy-(Z)-α,β-didehydroleucine anhydride as key compound to introduce the unsaturated residue at the central position of the tripeptide 1 . The x-ray analysis shows that 1 adopts in the crystal a type II β-turn conformation in which the new residue occupies the (i + 2) position, and an intramolecular H bond is formed between the formylic oxygen and the Phe NH. ¹H-nmr analysis based on nuclear Overhauser effect measurements suggests that the same folded conformation is preferred in CDCl₃ solution; this finding is also supported by molecular dynamics simulation. The biological activity of 1 has been determined on human neutrophils (polymorphonuclear leukocytes) and compared to that shown by f MLP-OMe. Chemotactic activity, granule enzyme release, and superoxide anion production have been determined. Analogue 1 is practically inactive as chemoattractant, highly active in the superoxide generation, and similar to the parent in the lysozyme release. The conformational restriction imposed on the backbone by the presence of the unsaturated residue is discussed in relation with the observed bioselectivity. © 1993 John Wiley & Sons, Inc.     

Abundance and arrangement of single,double and bifurcated hydrogen bonds in protein α-helices: Statistical analysis of PDB-select

Statistics are collected and analyzed for the possibility of hydrogen bonding in the secondary structures of globular proteins, based on geometric criteria. Double and bifurcated bonds are considered as pairs of admissible H-bonds with two proton donors or two proton acceptors, respectively. Most of such bonds belong to peptide groups in α-helices, with O _i …N _{i + 3} nearly as frequent as O _i …N _{i + 4}; in contrast, most of the 3/10-helical segments are too short to have any. Alternating double and bifurcated bonds in α-helices form an apparently cooperative network structure. A typical α-helical segment perhaps carries two stretches of the H-bond network broken in the middle. The constituent H-bonds are nonlinear: the hydrogen atom is off the straight line connecting the proton donor and proton acceptor atoms. This deflection is larger for H _{i + 3} vs. bond line O _i −N _{i + 3} than for H _{i + 4} vs. O _i −N _{i + 4}, and though the two kinds of bond have about the same length (exceeding those typical of low-molecular compounds), O _i …N _{i + 4} must be stronger than O _i …N _{i + 3}. Double/bifurcated bonds are also not coplanar, i.e., hydrogen atoms are beyond the N…O…N (or O…N…O) plane. The text was submitted by the authors in English.     

Up-regulation of cyclic electron flow and down-regulation of linear electron flow in antisense-<Emphasis Type="Italic">rca</Emphasis> mutant rice

To investigate how excess excitation energy is dissipated in a ribulose-1,5-bisphospate carboxylase/oxygenase activase antisense transgenic rice with net photosynthetic rate (P _N) half of that of wild type parent, we measured the response curve of P _N to intercellular CO₂ concentration (C _i), electron transport rate (ETR), quantum yield of open photosystem 2 (PS2) reaction centres under irradiation (F_v′/F_m′), efficiency of total PS2 centres (Φ_PS2), photochemical (q_P) and non-photochemical quenching (NPQ), post-irradiation transient increase in chlorophyll (Chl) fluorescence (PITICF), and P700⁺ re-reduction. Carboxylation efficiency dependence on C _i, ETR at saturation irradiance, and F_v′/F_m′, Φ_PS2, and q_P under the irradiation were significantly lower in the mutant. However, NPQ, energy-dependent quenching (q_E), PITICF, and P700⁺ re-reduction were significantly higher in the mutant. Hence the mutant down-regulates linear ETR and stimulates cyclic electron flow around PS1, which may generate the ΔpH to support NPQ and q_E for dissipation of excess excitation energy.     

Adenosine A1 Agonists and the Ca2+ Channel Agonist Bay K 8644 Produce a Synergistic Stimulation of the GTPase Activity of Go in Rat Frontal Cortical Membranes

Abstract: The identity and role of G proteins in coupling adenosine receptors to effectors have been studied to a limited degree. We have identified the G proteins whose GTPase activity is stimulated by adenosine receptor agonists in neuronal membranes. (R)-Phenylisopropyladenosine, 2-chloroadenosine, and N-ethylcarboxamideadenosine produced a concentration-dependent stimulation of GTPase. At 10^?5M, the increase above basal GTPase in frontal cortex was 25 ± 4, 20 ± 3, and 8 ± 1%, respectively, and in the cerebellum 55 ± 2, 41 ± 4, and 22 ± 2%, respectively. The effects of (R)-phenylisopropyladenosine and 2-chloroadenosine were inhibited by (1) A₁ antagonists (76–96% reduction), (2) pretreatment with pertussis toxin (90–100% reduction), and (3) antibodies raised against the α-subunit of G_i and G_o (55–57% reduction by each), suggesting that A₁ receptors interact equally with G_i and G_o. (R)-Phenylisopropyladenosine increased the binding of a nonhydrolyzable analogue of GTP to membranes in a pertussis toxin-sensitive manner, indicative of activation of G_i or G_o. Previously, (±)-Bay K 8644 enhanced GTP hydrolysis by G_o but not G_i. Now we report a profound synergistic stimulation of GTPase in the presence of (R)-phenylisopropyladenosine and (±)-Bay K 8644 (10^?7 to 10^?5M). (±)-Bay K 8644 had no effect on nucleotide exchange and, thus, cannot activate G_o. It appears that a positive cooperative stimulation of G_o occurs when it is first activated by A₁ receptors and subsequently interacts with the L-type Ca²⁺ channel.     

Induction of Apoptosis in Cardiac Myocytes by an A3Adenosine Receptor Agonist

The effects of the selective adenosine (ADO) A₃receptor agonist IB-MECA (N⁶-(3-iodobenzyl)adenosine-5′-N-methylcarboxamide) on cultured newborn rat cardiomyocytes were examined in comparison with ADO, the ADO A₁receptor-selective agonistR-PIA (N⁶-R-phenylisopropyladenosine), or the ADO A₃selective antagonist MRS 1191 (3-ethyl-5-benzyl-2-methyl-6-phenyl-4-phenylethynyl-1,4-(±)-dihydropyridine-3,5 dicarboxylate), using digital image analysis of Feulgen-stained nuclei. At high concentration, IB-MECA (10 μM ) and ADO (200 μM) induced apoptosis; however,R-PIA or MRS 1191 did not have any detectable effects on cardiac cells. In addition, DNA breaks in cardiomyocytes undergoing apoptosis following treatment by IB-MECA were identifiedin situusing the nick end labeling of DNA (“TUNEL”-like) assay. In the presence of 10 μM IB-MECA, disorder in the contraction waves appeared, and a decrease in the frequency of beats was observed. Analysis with light microscopy revealed that the number of contracting cells decreased in a concentration-dependent manner. The A₃receptor agonist IB-MECA caused an increase in intracellular free calcium concentration ([Ca²⁺]_i). The drug produced a rapid rise followed by a sustained increase in [Ca²⁺]_i, which lasted for 40–60 s. Finally, cessation of beating and Ca²⁺transients were observed. Full recovery of contractile activity and rhythmical Ca²⁺transients were observed 15–20 min after IB-MECA treatment. The induction of apoptosis in the cardiocytes by IB-MECA led to the appearance of features of apoptotic nuclei: the onset of condensation, compacting, and margination of nuclear chromatin. These effects were accompanied by the disintegration of the structural framework of the nucleus and nuclear breakdown. The results suggest that activation of the A₃adenosine receptor may participate in the process of apoptosis in cardiomyocytes.     

A model of the plant-to-plant movement of aphids I. Description of the model

The plant-to-plant movement of insects in one of the factors determining the distribution of individuals in insect populations. In this report the movement of barley aphids was analyzed by a statistical model. The model is represented as the convolution of three probability functions:

1. The probability that s individuals are found on a plant at time t₀:Q(s);
2. The probability that i individuals leave the plant and remain on the ground from time t₀ to t₁:_sC_ipⁱq^s−i and p+q=1, where p and q are the proportions of individuals which do not leave a plant and which leave it once or more, respectively;
3. The probability that j individuals climb a plant between time t₀ to t₁ and stay there at time t₁:e^−λλ^j/λ^!, where λ is the mean of the individuals.

The probability that l individuals are located on a plant at time t₁ is represented by the following equation It was shown by simple experiments that the experimental populations were well fitted to the model.     

Quantitative two-dimensional nmr study of dermenkephalin,a highly potent and selective δ-opioid peptide

Dermenkephalin, H-Tyr-(D ) Met-Phe-His-Leu-Met-Asp-NH₂, a highly potent and selective δ-opioid peptide isolated from frog skin, was studied in DMSO-d₆ solution by two-dimensional nmr spectroscopy, including the determination of NH temperature coefficients, the evaluation of ³J coupling constants from phase-sensitive correlated spectroscopy (COSY) and the volumes of nuclear Overhauser effect (NOE) correlations. The two-dimensional NOE spectroscopy (NOESY) spectrum of dermenkephalin revealed sequential, medium-, and long-range effects. To put this information on a quantitative basis, special attention was devoted to J cross-peak suppression, quantification of the NOE volumes and analysis of the overlaps, normalization of the NOEs against diagonal peaks and H_ββ′ geminal interactions. Although most of the dihedral angles deduced from the ³J_Nα coupling constants together with several N_iα_i and α_iN_{i + 1} NOEs pointed to a partially extended peptide backbone, several N_i N_{i + 1} NOEs and β_i N_{i + 1} interactions argued in favor of a folded structure. Moreover, several long-range correlations of strong intensities were found that supported a close spatial proximity between the side chains of D -Met² and Met⁶, Tyr¹ and His⁴, Tyr¹ and Asp⁷, and His⁴ and the C-terminal amide group. In Phe, the g^? rotamer in the side chain is deduced from the ³J_αβ coupling constants and αβ and Nβ NOE correlations. Whereas the amide proton dependency was not indicative of stable hydrogen bonds, the nonuniform values of the temperature coefficient may reflect an equilibrium mixture of folded and extended conformers. The overall data should provide realistic starting models for energy minimization and modelization studies. © 1993 John Wiley & Sons, Inc.     

Calpain inhibitors stimulate phagocyte functions via activation of human formyl peptide receptors

Calpain inhibitors induce pertussis toxin (PTx)-sensitive chemotaxis in human neutrophils and monocytes. Here, we show that various calpain inhibitors (PD150606, PD151746, N-acetyl-Leu-Leu-Nle-CHO [ALLN], N-acetyl-Leu-Leu-Met-CHO [ALLM], and calpeptin) and γ-secretase inhibitor I induced PTx-sensitive increase in cytoplasmic free Ca²⁺ ([Ca²⁺]_i) in human neutrophils and neutrophil migration. HEK-293 cells stably expressing human formyl peptide receptor (hFPR) or hFPR-like 1 (hFPRL1) displayed stimulus-specific increase in [Ca²⁺]_i in response to calpain inhibitors (PD150606, PD151746, ALLN, ALLM, MG-132, and calpeptin), γ-secretase inhibitor I, and N-formyl-Met-Leu-Phe. Parent HEK-293 cells also displayed PTx-sensitive increase in [Ca²⁺]_i in response to calpeptin and γ-secretase inhibitor I, whereas they displayed PTx-resistant increase in [Ca²⁺]_i in response to MG-132. MDL-28170 induced neither an increase in [Ca²⁺]_i in neutrophils and HEK-293 cells nor neutrophil migration. Ionomycin-induced cleavage of talin (a substrate of calpain) in neutrophils was inhibited by all inhibitors used here. These findings suggest that potent calpain inhibitors could stimulate phagocyte functions via activation of hFPR, hFPRL1 and/or other G-protein coupled receptors depending on the inhibitors used.     

Some Results on Error Rates for Quadratic Discrimination with Known Population Parameters

Let population Π_i, i = 1,2, be characterized by a multivariate normal density function, N(μ_i,∑_i), i = 1, 2, respectively. This paper provides conditions under which simple conditional error rates may be computed for the quadratic discriminant function with known population parameters. Also, a simple bound on the overall error rate is derived. Examples are given which demonstrate the proposed methods.     

Stimulation of human formyl peptide receptors by calpain inhibitors: homology modeling of receptors and ligand docking simulation

Calpain inhibitors, including peptide aldehydes (N-acetyl-Leu-Leu-Nle-CHO and N-acetyl-Leu-Leu-Met-CHO) and α-mercapto-acrylic acid derivatives (PD150606 and PD151746), have been shown to stimulate phagocyte functions via activation of human formyl peptide receptor (hFPR) and/or hFPR-like 1 (hFPRL1). Using the homology modeling of the receptors and the ligand docking simulation, here we show that these calpain inhibitors could bind to the putative N-formyl-Met-Leu-Phe (fMLF) binding site on hFPR and/or hFPRL1. The studies with HEK-293 cells stably expressing hFPR or hFPRL1 showed that the concentrations of calpain inhibitors required to induce an increase in cytoplasmic free Ca²⁺ ([Ca²⁺]_i) was much higher (>100 folds) than those of fMLF and Trp-Lys-Tyr-Met-Val-D-Met (WKYMVm). HEK-293 cells expressing hFPR or hFPRL1 with the mutated fMLF binding site never exhibited the [Ca²⁺]_i response to calpain inhibitors. When the optimal concentrations of each stimulus were used, pretreatment of cells with fMLF or WKYMVm abolished an increase in [Ca²⁺]_i induced by calpain inhibitors as well as the same stimulus, whereas pretreatment of cells with calpain inhibitors significantly suppressed, but never abolished, the [Ca²⁺]_i response induced by fMLF or WKYMVm, suggesting that the binding affinity of the inhibitors to the putative fMLF binding site may be lower than that of fMLF or WKYMVm.     

Evolution of discontinuous solutions to transport equations in stellarators

It was shown earlier that, in the range of rare collisions, transport equations for stellarators allow steady discontinuous solutions for the ambipolar electric field and for the plasma density and temperature gradients. Moreover, such solutions are non-single-valued; that is, their explicit form depends on the initial values of the ambipolar electric field. The time-independent transport equations are derived under the conventional quasineutrality condition; i.e., it is assumed that the electron and ion densities, N _e and N _i , are related by the relationship N _e = ZN _i (where Z is the ion charge number). In other words, the plasma charge density is assumed to be much less than the product e _i N _i . Under typical conditions, the corresponding inequality is satisfied by a large margin. However, if the electric field E has discontinuities, then it can be seen from the equation ▿·E = 4πρ that, at the discontinuity points, the charge density becomes infinite and the relationship N _e = ZN _i fails to hold, so it is necessary to replace it with N _e = ZN _i + ρ/e _e . In the transport equations, this latter replacement produces additional terms, proportional to the second radial derivative of the field E. With these additional terms, the steady solutions are modified substantially. First, the ambipolar field and the derivatives of the density and temperatures all become continuous functions of the coordinates, a result that seems to be quite obvious. The second, not-so-obvious result is that the steady solutions become single-valued, i.e., independent of the initial values of the ambipolar electric field. It turns out that, in this case, two regimes are possible, depending on the values of the plasma parameters. In the first regime, the solution is unique and is independent of the initial conditions. In the second regime, two steady solutions can exist, depending on the initial conditions. One of the solution is similar to that obtained in the first regime, and the other differs from the first one both in the ambipolar field profile and in the dependence of the density and temperatures on the minor plasma radius. It cannot be excluded that different plasma confinement modes revealed in experiments are associated with the existence of such solutions.     

The rate of convergence of a generalized stable population

In an age-structured population that grows exponentially, each age groupP _i(t) at periodt is asymptotically equivalent tox ₀ ^t for some positive number x₀. In this paper we show that the speed at which the ith age group reaches its exponential state of equilibrium can be measured by the rate at which the ratio v_i(t)=P_i(t)/p_i(t–1) converges tox ₀. The age specific rate of convergence is determined by considering a quantityr satisfyingv _i(t)-x ₀ ¦ r ^t whent is large;R _i=Infr (over all initial populations,r satisfying the above inequality) is the R-factor used in numerical analysis to measure the rate at which the sequencev _i (t) converges tox ₀;S _i =- In R_i is then defined as the rate of convergence to stability of the ith age group. The case of constant net maternity rates is studied in detail; in this contextS ₀ is compared to the population entropyH, which was proposed by Tuljapurkar (1982) as a measure of the rate of convergence to stability.     

Agonist-Evoked Ca2+ Mobilization from Stores Expressing Inositol 1,4,5-Trisphosphate Receptors and Ryanodine Receptors in Cerebellar Granule Neurones

Abstract: The mechanisms involved in Ca²⁺ mobilization evoked by the muscarinic cholinoceptor (mAChR) agonist carbachol (CCh) and N-methyl-d -aspartate (NMDA) in cerebellar granule cells have been investigated. An initial challenge with caffeine greatly reduced the subsequent intracellular Ca²⁺ concentration ([Ca²⁺]_i) response to CCh (to 45 ± 19% of the control), and, similarly, a much reduced caffeine response was detectable after prior stimulation with CCh (to 27 ± 6% of the control). CCh-evoked [Ca²⁺]_i responses were inhibited by preincubation with thapsigargin (10 µM), 2,5-di(tert-butyl)-1,4-benzohydroquinone (BHQ; 25 µM), ryanodine (10 µM), or dantrolene (25 µM). BHQ pretreatment was found to have no effect on the sustained phase of the NMDA-evoked [Ca²⁺]_i response. Both CCh (1 mM) and 1-aminocyclopentane-1S,3R-dicarboxylic acid (ACPD; 200 µM) evoked a much diminished increase in [Ca²⁺]_i in granule cells pretreated with CCh for 24 h compared with vehicle-treated control cells (CCh, 23 ± 14%; ACPD, 27 ± 1% of respective control values). In contrast, a 24-h CCh pretreatment decreased the subsequent inositol 1,4,5-trisphosphate (InsP₃) response to CCh to a much greater extent compared with responses evoked by metabotropic glutamate receptor (mGluR) agonists; this suggests that the former effect on Ca²⁺ mobilization represents a heterologous desensitization of the mGluR-mediated response distal to the pathway second messenger. Furthermore, [Ca²⁺]_i responses to caffeine and NMDA were unaffected by a 24-h pretreatment with CCh. This study indicates that ryanodine receptors, as well as InsP₃ receptors, appear to be crucial to the mAChR-mediated [Ca²⁺]_i response in granule cells. As BHQ apparently differentiates between the CCh- and NMDA-evoked responses, it is possible that the directly InsP₃-sensitive pool is physically different from the ryanodine receptor pool. Also, activation of InsP₃ receptors may not contribute significantly to NMDA-evoked elevation of [Ca²⁺]_i in cerebellar granule cells. A model for the topographic organization of cerebellar granule cell Ca²⁺ stores is proposed.     

Implications of an anomalous intracellular electrical response in bullfrog corneal epithelium

Summary The ionic dependencies of the transepithelial and intracellular electrical parameters were measured in the isolated frog cornea. In NaCl Ringer's the intracellular potential differenceV _sc measured under short-circuit conditions depolarized by nearly the same amount after either increasing the stromal-side KCl concentration from 2.5 to 25mm or exposure to 2mm BaCl₂ (K⁺ channel blocker). With Ba²⁺ the depolarization of theV _sc by 25mm K⁺ was reduced to one-quarter of the control change. If the Cl-permselective apical membrane resistanceR _o remained unchanged, the relative basolateral membrane resistanceR _i, which includes the lateral intercellular space, increased at the most by less than twofold after Ba²⁺. These effects in conjunction with the depolarization of theV _sc by 62 mV after increasing the stromal-side K⁺ from 2.5 to 100mm in Cl-free Ringer's as well as the increase of the apparent ratio of membrane resistances (a=R _o/R_i) from 13 to 32 are all indicative of an appreciable basolateral membrane K⁺ conductance. This ratio decreased significantly after exposure to either 25mm K⁺ or Ba²⁺. The decline ofR _o/R_i with 25mm K⁺ appears to be anomalous since this decrease is not consistent with just an increase of basolateral membrane conductance by 25mm K⁺, but rather perhaps a larger decrease ofR _o thanR _iAlso an increase of lateral space resistance may offset the effect of decreasingR _i with 25mm K⁺. In contrast,R _o/R_i did transiently increase during voltage clamping of the apical membrane potential differenceV _o and exposure to 25mm K⁺ on the stromal side. This increase and subsequent decrease ofR _o/R_i supports the idea that increases in stromal K⁺ concentration may produce secondary membrane resistance changes. These effects onR _o/R_i show that the presence of asymmetric ionic conductance properties in the apical and basolateral membranes can limit the interpretative value of this parameter. The complete substitution of Na⁺ withn-methyl-glucamine in Cl-free Ringer's on the stromal side hyperpolarized theV _sc by 6 mV whereas 10^–4 m ouabain depolarized theV _sc by 7 mV. Thus the basolateral membrane contains K⁺, Na⁺ and perhaps Cl^– pathways in parallel with the Na/K pump component.     

A method for estimating natural survival rate and mean fecundity of an adult insect population by dissecting the female reproductive organs

Several problems were discussed in relation toMacDonald' s method (MacDonald , 1957) for estimating the survival rate of a natural population of adults with varying survival rates and unstable age structure.

1. Random samplings with a fixed sampling ratio and an appropriate census interval is pre-requisite during the occurrence of the adults.
2. At each sampling, female adults are dissected to know the ratio, p_i, of nulliparous females in ith sample (i=0, 1, 2, 3, …,). The Σn_ip_i/Σn_i gives an estimate of the ratio, Fα/F, of nulliparous females in the population where n_i refers to the population size on ith census date. If a constant daily survival rate is assumed, the daily survival rate is estimated from equation (4′). When the survival rate is not constant over the period of adult occurrence, e. g. before and after the initiation of oviposition, the survival rate during pre-ovipositional period is estimated by equation (4″).
3. Decision of an economic census interval to obtain a reliable estimate of the ratio, Fα/F, is depending on the form of emergence curve, particularly on its duration and the length of pre-ovipositional period. If the normal distribution can be assumed for the emergence curve, an interval less than one third of the emergence period is recommended. Concerning with insects having a long pre-ovipositional period, a census interval which exceeds one third of the emergence period still gives a good estimate of Fα/F.
4. The mean realized fecundity of some kind of insects can be estimated by equation (5′ or 5″) using the estimates obtained by the present method.