Numerical simulation of neuronal population coding: influences of noise and tuning width on the coding error

Performance of neuronal population coding is investigated numerically, in neurons with Gaussian tuning functions of various widths and noise ratios. The present model is applicable to both direction coding and orientation coding. It is shown that the coding error exhibits peculiar dependence on the width of the tuning function and that the dependence under the influence of noise is different from that of the noise-free case. In the absence of noise, the coding error increases monotonically with the width of the tuning function. The increment obeys the power law (the exponent estimated is 0.501) when the width is less than the critical value. In this region of the width a scaling law is obtained, which shows that the root-mean-square error is proportional to the square root of the ratio of the width of the tuning function to the population size. When the width exceeds the critical value, the coding error increases more rapidly than the power law. The reason for this anomalous increase, not seen previously, is argued. Existence of noise changes the dependence of the coding error on the width of the tuning function. Unlike the noise-free case, the error under the influence of noise becomes minimum at an intermediate value of the width. The width that gives the minimum coding error is termed the optimum width in this article. The numerical results suggest that the optimum width is roughly proportional to the square root of the noise ratio but has only a weak dependence on the population size. It is further shown that the coding error for the optimum width increases sharply when the noise ratio exceeds about 0.5 and is inversely proportional to the square root of the population size.     

Effects of polyamines on nucleosidediphosphate kinase activity.

Effects of naturally occurring polyamines were tested on the activity of bovine liver nucleosidediphosphate kinase with ATP as phosphoryl donor and eight nucleosidediphosphates as phosphoryl acceptors. The enzyme was either stimulated, inhibited, or unaffected depending upon the nucleosidediphosphate substrate and the polyamine, indicating that a general cation effect is not a sole mechanism of polyamine action. This selectivity and specificity of the effects with respect to both the polyamines and the nucleosidediphosphates leads us to speculate that an action of polyamines on nucleosidediphosphate kinase may play a significant role in the regulation of specific nucleosidetriphosphate synthesis $\text{in vivo}$.     

Cloning of a Phosphate-Regulated Hemolysin Gene (Phospholipase C) from Pseudomonas aeruginosa

Phospholipase C (heat-labile hemolysin) of Pseudomonas aeruginosa is a phosphate (P_i)-regulated extracellular protein which may be a significant virulence factor of this organism. The gene for this hemolytic enzyme was cloned on a 4.1-megadalton (Mdal) fragment from a BamHI digest of P. aeruginosa PAO1 genomic DNA and was inserted into the BamHI sites of the multicopy Escherichia coli(pBR322) and P. aeruginosa(pMW79) vectors. The E. coli and P. aeruginosa recombinant plasmids were designated pGV26 and pVB81, respectively. A restriction map of the 4.1-Mdal fragment from pGV26 was constructed, using double and single digestions with BamHI and EcoRI and several different restriction enzymes. Based on information from this map, a 2.4-Mdal BamHI/BglII fragment containing the gene for phospholipase C was subcloned to pBR322. The hybrid plasmids pGV26 and pVB81 direct the synthesis of enzymatically active phospholipase C, which is also hemolytic. The plasmid-directed synthesis of phospholipase C in E. coli or P. aeruginosa is not repressible by P_i as is the chromosomally directed synthesis in P. aeruginosa. Data are presented which suggest that the synthesis of phospholipase C from pGV26 and pVB81 is directed from the tetracycline resistance gene promoter. The level of enzyme activity produced by E. coli(pGV26) is slightly higher than the levels produced by P. aeruginosa(pMW79) under repressed conditions. In contrast, the levels produced by P. aeruginosa(pVB81) are at least 600-fold higher than the levels produced by P. aeruginosa(pMW79) under repressed conditions and approximately 20-fold higher than those produced by P. aeruginosa(pMW79) under derepressed conditions. The majority (85%) of the enzyme produced by E. coli(pGV26) remained cell associated, whereas >95% of the enzyme produced by P. aeruginosa(pVB81) was extracellular. Analysis of extracellular proteins from cultures of P. aeruginosa(pMW79) and P. aeruginosa(pVB81) by high-performance liquid chromotography and sodium dodecyl sulfate-polyacrylamide gel electrophoresis revealed that the phospholipase C gene was cloned intact, and it is likely that several additional genes were cloned on the 4.1-Mdal fragment of DNA. It was also found that some of these genes encode proteins which are the same molecular weight as some previously described P_i-repressible proteins of P. aeruginosa. The existence of a P_i regulon of P. aeruginosa is proposed. It is likely that one of these genes also regulates the level of pyocyanin production by P. aeruginosa and that one or more play a role in transport or binding of P_i. The availability of the hybrid plasmids described herein will be useful in further studies on the role of this hemolysin in the virulence of P. aeruginosa and in the study of the genetics and physiology of P_i-regulated proteins.     

Presence of immunoreactive alpha-endorphin in rat pituitary gland.

Utilizing radioimmunoassay for α-endorphin, we attempted to demonstrate immunoreactive α-endorphin in acid extracts of pars distalis and combined pars intermedia and pars nervosa of the rat pituitary gland after chromatography on Sephadex G-25. β-Lipotropin, β-endorphin and γ-endorphin were not converted into α-endorphin during the extraction and gel chromatographic procedures. Concentrations of immunoreactive α-endorphin determined after gel chromatography of extracts from pars distalis and combined pars intermedia and pars nervosa were 1.1±0.6 and 130±17 ng/mg wet tissue (mean±SE), respectively. Serial dilution of these extracts gave parallel lines to the standard curve of synthetic α-endorphin, but not to that of γ-endorphin or δ-endorphin. These results suggest the existence of immunoreactive α-endorphin indistinguishable in molecular size from synthetic α-endorphin in the rat pituitary gland.     

Dose-response relations for dicentric yields in G0 lymphocytes on man and crab-eating monkey following acute and chronic γ-irradiations

A comparison has been made of dicentric yields in G₀ lymphocytes between man and crab-eating monkey, Macaca fascicularis, after acute and chronic γ-irradiations. With acute irradiation (49.6 rad/min) there was no significant difference between them, but for the chronic irradiation (17.1 rad/h) a significant difference was observed between the species. When the dose-response relations were fitted to the linear-quadratic model (Y = αD + βD²), the species-difference observed for chronic irradiation was almost entirely due to change in the value of β. In addition, after chronic irradiation the β-value for monkey was almost negligible, but that for man was significant. Post-irradiation incubation experiment showed that cells with dicentrics were partly eliminated during the course of chronic irradiation, because there were appreciable reductions of dicentric yields (ca. 25% for both man and monkey at 400 rad) together with mitotic indices (ca. 30% and 60% for man and monkey, respectively, at 400 rad). Accordingly, it would be reasonable to postulate that G₀ repair for dicentrics other than selection mechanism must play a major role in the effects of low dose rate. It can be further suggested that G₀-repair capacity for chromosal damages leading to dicentrics may be different among different primate species.     

Distribution of growth regulators in relation to the light-induced geotropic responsiveness in Zea roots

Growth regulators were measured in extracts from the upper and lower halves of 7-mm apical segments of horizontally oriented, red-light-irradiated and non-irradiated roots of Zea mays L. cv. Golden Cross Bantam 70 which exhibit a georesponse only after an exposure to light. Abscisic acid (ABA) was measured by gas-liquid chromatography, auxin (indole-3-acetic acid, IAA) by the Avena straight-growth assay, and an unidentified growth inhibitor by a Zea root-growth assay. The ratio of ABA in the upper and lower halves was 1.6 in the irradiated roots and 1.0 in the non-irradiated ones. The total amount of ABA after irradiation was increased by a factor of ca. 1.8. The ratio of IAA in the upper and lower halves of irradiated and non-irradiated roots was 1:3.4 and 1:2.9, respectively. The content (or activity) of an unidentified growth inhibitor was highest in the lower halves of horizontally oriented roots which had been irradiated with red light. The unidentified growth inhibitor, rather than IAA or ABA, may be the major factor in the light-induced geotropic responsiveness in Zea roots.     

Presence of dynorphin-like immunoreactivity in rat pituitary gland and hypothalamus

Using a highly specific and sensitive radioimmunoassay for dynorphin(1-13), dynorphin-like immunoreactivity (dynorphin-LI) was detected in rat pituitary and hypothalamus. Gel chromatographic studies on Sephadex G-50 revealed three components of dynorphin-LI with molecular weights of approximately 7500-9500 (big dynorphin), 3500-5500 (intermediate dynorphin) and 1600-1900 (small dynorphin), the latter of which eluted at the same position as authentic dynorphin contamination in porcine ACTH extracts (Sigma). Dynorphin-LI in rat anterior pituitary existed mainly as big dynorphin, whereas dynorphin-LI in rat intermediate-posterior pituitary and hypothalamus eluted mainly at the position of authentic small dynorphin.     

Protein inhibitors of phosphorylase phosphatase and cyclic AMP-dependent protein kinase from rabbit skeletal muscle

Summary A heat- and acid-stable proten inhibitor of phosphorylase phosphatase is present in a highly purified preparation of protein inhibitor of cyclic AMP-dependent protein kinase from rabbit skeletal muscle. Although these two inhibitors have strikingly similar properties to each other, such as sensitivity to trypsin and behavior on gel permeation chromatography, they can be separated by polyacrylamide disc gel electrophoresis. This indicates that the phosphatase-inhibitory and kinase-inhibitory activities reside with different protein species. The inhibition of both the enzymes is not altered by incubating the inhibitor preparation with a general phosphoprotein phosphatase, with phosvitin kinase, or with cyclic AMP-dependent protein kinase. Inhibition of phosphorylase phosphatase is of a non-competitive type supporting the idea that the phosphatase inhibitor is not an alternative substrate for the enzyme. Inhibition of phosphatase activity is selective in that it does not occur when phosphorylated histone or phosphorylated protamine are used as substrates.     

Dicentric yields induced by gamma-radiation and chromosome arm number in primates.

To evaluate the effect of the chromosome arm number on the yield of dicentric chromosomes, frequencies of gamma-ray-induced chromosome aberrations were examined with peripheral lymphocytes from three different primate species, Saimiri sciureus (arm number, 77), Macaca fascicularis (arm number, 83) and Nycticebus coucang (arm number, 99). Irradiated blood samples were cultured by the same standard technique as that commonly used for human lymphocytes. The yields of dicentrics and dicentrics plus rings at doses of 100, 200 and 300 rad of gamma-irradiation were not significantly different among the three species, in spite of the difference in the chromosome arm number. Furthermore, dose-response relationships for these species were consistent with that for man. Statistical analysis indicated that the expected dicentric yields calculated from the arm number model were significantly different from the observed yields at 200 and 300 rad doses (P less than 0.01). From these results it can be pointed out that there is no correlation between the yield of dicentrics and the effective chromosome arm number, and that the chromosomal radiosensitivity of these primates is essentially the same as that of man, at least in the lymphocyte system.     

Dormancy in Dioscorea: Generality of gibberellin-induced dormancy in asexual dormant organs

Effects of GA₃ and CCC application on the sprouting of bulbilsor subterranean dormant organs of 10 species in the genus Dioscoreawere observed. Although the efficiency of both chemicals differedby species, in general GA₃ inhibited and CCC promoted the sproutingof the above dormant organs. In some species, however, dilutedGA₃ (0.003–0.3 µM) has a promotive and diluted CCC(3–30 µM) has an inhibitive effect on sprouting. Effects of GA₃ application on shoot elongation were tested onsprouted bulbils. GA₃ promoted elongation when applied directlyto the shoots and inhibited it when applied to the bulbous parts. These results suggest that GA activates two opposing reactions—sprouting-promotingand sprouting-inhibiting—in these organs. The complicatedrelation between GA₃ or CCC concentrations and sprouting wereexplainable by assuming that the two counteractive reactionswere activated by GA in different degrees. ¹ Present address: Department of Biology, Faculty of Science,Yamagata University, Yamagata 990, Japan. (Received June 21, 1976; )