Grouped sequential exploitation of food patches in a flock feeder,the feral pigeon

Feral and laboratory flocks of rock doves ($\text{Columba}$$\text{livia}$) show a pattern of grouped sequential exploitation when simultaneously presented with two dispersed, depleting patches of seed. This behavior contrasts with the ideal free distribution pattern shown when patches are small and concentrated. Grouped sequential exploitation consists of two phases: all pigeons first land together and feed at one patch, then leave one by one for the other patch. Departure times of individuals for the second patch are correlated with feeding rate at patch 1, which is in turn correlated with position in the dominance hierarchy. The decision to switch from patch 1 to patch 2 improves individual feeding rates in all cases, but is done slightly later than it should according to optimal foraging theory.     

Conditions for protection of an allele in linear homogeneous stepping stone models

The one-dimensional linear homogeneous stepping stone migration structure is an important model in that it represents a short-range migration extreme for geographically structured populations and also serves as the underlying discretespace model for much of the work on continuous-space clines. We examine conditions for the protection of an allele under a stepping stone migration structure by using a recursive method based on Sturm sequences. Necessary and sufficient conditions for protection of an allele are found for a generalized step-cline selection gradient, which is the selection scheme used in much of the early cline work. Sufficient conditions for the protection of an allele are also found for (i) an advantageous patch at the stepping stone boundary which is followed by an arbitrary selection gradient, and for (ii) an advantageous patch embedded within an otherwise arbitrary selection gradient. We let m be the migration rate between neighboring demes. If within the advantageous patch $\text{W}{}_{\mathrm{Aa}}\text{W}{}_{\mathrm{aa}}\text{= 1 + s}$, then for (i) $\text{s ?}\text{m}\text{(1 ? m)}$ is sufficient to protect allele A, even if the patch consists of only a single deme, while for (ii) $\text{s ?}\text{2m}\text{(1 ? 2m)}$ guarantees that a single deme will protect A. If the advantageous patch consists of k demes, each with $\text{W}{}_{\mathrm{Aa}}\text{W}{}_{\mathrm{aa}}\text{= 1 + s,}\text{then}\text{s ? (}\text{π}{}^2\text{4}\text{)}\text{m}\text{k}{}^2$ is sufficient for protection of A in (i), while $\text{s ?}\text{π}{}^2\text{m}\text{k}{}^2$ is sufficient for protection of A in (ii). Sufficient conditions for a protected polymorphism are found, and a bound on the level of migration is determined, below which a protected polymorphism exists, as predicted from Karlin and McGregor's (1972. Theor. Pop. Biol.3, 186–209, 210–238) small parameter results. Finally, our patch swamping conditions (protection of an allele given a single advantageous patch) are compared to Nagylaki's (1975. Genetics80, 595–615) conditions for the existence of continuous-space clines under analogous selection schemes and are shown to be identical for the two specific cases examined. We also discuss extensions of some of the above results to circular stepping stone migration structures.     

Correlation of the perceived texture of random coil polysaccharide solutions with objective parameters

A wide range of concentrated random coil polysaccharide solutions have been assessed for textural attributes by a trained sensory panel. The only textural terms invoked to describe these model systems were ‘thickness’ and ‘stickiness’, which were shown to be highly correlated, and essentially identical numerically, using a ratio scaling technique. Viscosity (η) measurements over a wide range of shear rates (γ) for all these samples gave flow curves (log η versus log γ) of the same form. Differences in flow behaviour between samples could then be characterised completely by two parameters, the maximum viscosity at low shear rates (η₀), and the shear rate ($\text{γ}\text{?}{}_{\mathrm{0·1}}$) at which $\text{η =}\text{solη}{}_0\text{10}$. A simple linear relationship was demonstrated between these two parameters and perceived thickness (T) or stickiness (S), irrespective of polysaccharide type. For Newtonian liquids, log T (or log S) varied linearly with log η. Hence the effective ‘in-mouth’ thickness of random coil polysaccharide solutions, in normal viscosity units, may be predicted directly from η₀ and $\text{γ}\text{?}{}_{\mathrm{0·1}}$ by the simple relationship: $\text{log}\text{η}{}_{\mathrm{N}}\text{= 1·13}\text{log}\text{η}{}_0\text{+ 0·45}\text{log}\text{γ}\text{?}{}_{\mathrm{0·1}}\text{? 1·72}$ where η_N is the viscosity of a Newtonian solution which would be perceived as identical in thickness (and stickiness) to the polysaccharide solution.     

A simple logarithmic amplifier for the photographic quantitation of DNA in gel electrophoresis

For the quantitative determination of nonradioactive DNA fragments by gel electrophoresis, it is usually necessary to photograph the gel after staining with ethidium bromide and evaluate the negative by densitometry. It has previously been shown that, because of the logarithmic nature of the photographic process, it is not the optical density (E) of the film which is proportional to the amount of DNA in the gel but instead the value $\text{10}{}^{\mathrm{<mtext>E</mtext><mtext>\gamma </mtext>}}$, γ being a film constant. We describe the design of a simple instrument that converts E into $\text{10}{}^{\mathrm{<mtext>E</mtext><mtext>\gamma </mtext>}}$. The instrument can be built in any electronic workshop at low cost. When it is used together with a standard recording densitometer, densitometric tracings of $\text{10}{}^{\mathrm{<mtext>E</mtext><mtext>\gamma </mtext>}}$ are obtained directly. These tracings can be quantitated by simple peak area measurements, thereby circumventing complicated mathematical transformations. Quantitative analyses of a linear and an exponential densitogram of restriction nuclease digested plasmid DNA are presented to demonstrate the usefulness of the instrument.     

Non-autonomous logistic equations as models of populations in a deteriorating environment

The non-autonomous logistic equation

$\text{d}\text{x(t)}\text{d}\text{t}\text{= r(t)x(t)[1 ?}\text{x(t)}\text{K(t)}\text{]}$

is studied under conditions that include an environment which is completely deteriorating. In this setting, when the population's growth rate, r, is large on the average, solutions track the environment with a consequent extinction of the population. However, when both r and rK^?1 are small in the sense that they are in L¹[0,∞) then an asymptotic equivalence, where all solutions tend to positive limits as t approaches infinity, results and the population is persistent, independent of initial density. The asymptotic equivalence produces an unreasonable overshoot of carrying capacity which leads to concern about employing the logistic equation in the above form as a population model when growth rates are close to zero.A re-interpretation of the parameters of the logistic equation leads to the alternative logistic formulation

$\text{d}\text{x(t)}\text{d}\text{t}\text{= x(t)[r(t) ?}\text{c}\text{B(t)}\text{x(t)], (c > 0)}$

. A biological interpretation of the parameters is presented and this equation is compared with the classical logistic model in the case where the parameters are constant. If the alternative logistic model is applied in a situation with time-varying parameters, then a deteriorating environment always leads to extinction of the population regardless of the behavior of r. Similarly, a growth rate which is small on the average results in extinction regardless of the behavior of B. Furthermore, r and B have limiting values as t approaches infinity then so does x and the terminal value of x is equal to the terminal value of the carrying capacity of the population. In general, the alternative formulation seems to be the more reasonable model in situations where perturbations lead to severe decreases in environmental quality and growth rates.     

Microheterogeneity of cross-linked gamma dimers isolated from bovine stabilized fibrin

Bovine stabilized fibrin was reduced, carboxymethylated and separated by chromatography on a Sepharose 4B column. The fraction containing cross-linked γ dimers was then subjected to linear gradient chromatography on a CM-52 column. On this column, the γ dimers were separated into an adsorbed and unadsorbed fraction. The components in these fractions were designated as the γ-1 and γ-2 dimers. They each gave a single band on SDS-polyacrylamide gel electrophoresis and both had a molecular weight of 90,000 (±2,000). The identities of the γ-1 and γ-2 dimers were also shown by their amino acid compositions, terminal residues and tryptic and plasmic maps. However, they differed in electrophoretic mobilities on gels at pH 8.3 and pH 3.6 and in carbohydrate composition. The γ-1 dimer was slightly acidic and contained more hexoses and glucosamine than the γ-2 dimer. These results indicate that the characteristics of the bovine monomeric γ chains, γ-1 and γ-2, previously reported by Gerbeck $\text{et al}$., are transferred to their corresponding cross-linked γ dimers, formed in the stabilization of fibrin.     

Fluctuation analysis of Na+ channels modified by batrachotoxin in myelinated nerve

(1) Single myelinated nerve fibres of Rana esculenta were treated with the steroidal alkaloid batrachotoxin, and Na⁺ currents and Na⁺-current fluctuations were measured near the resting potential under voltage-clamp conditions. Between test pulses fibres were held at hyperpolarizing membrane potentials. (2) The spectral density of Na⁺-current fluctuations was fitted by the sum of a $\text{1}\text{f}$ component and a Lorentzian function. The time constant $\text{τ}{}_{\mathrm{<mtext>c</mtext>}}\text{= 1/(2π?}{}_{\mathrm{<mtext>c</mtext>}}\text{)}$ obtained from the corner frequency ?_c of the Lorentzian function approximately agreed with the activation time constant τ_m of the macroscopic currents. (3) The conductance γ of a single Na⁺ channel modified by batrachotoxin was calculated from the integral of the Lorentzian function and the steady-state Na⁺ current. At the resting potential V = O we obtained γ = 1.6 pS, higher γ-values of 3.2 and 3.45 pS were found at V = ?8 and ?16 mV, respectively. (4) The conductance of a modified Na⁺ channel is significantly lower than the values 6.4 to 8.85 pS reported in the literature for normal Na⁺ channels. Hence, our experiments are in agreement with the view that batrachotoxin acts in an ‘all-or-none’ manner on Na⁺ channels and creates a distinct population of modified channels.     

Slow actions of hyperpolarization on sodium channels in the membrane of myelinated nerve

The mean sodium current, $\text{I}$, and the variance of sodium current fluctuations, var, were measured in myelinated nerve during a depolarization to $\text{V = 40}\text{mV}$ applied from the resting potential ($\text{V}{}_{\mathrm{<mtext>H</mtext>}}\text{= 0}$) or from a hyperpolarizing holding potential $\text{V}{}_{\mathrm{<mtext>H</mtext>}}\text{= ?28}\text{mV}$. From $\text{I}$ and var the relative variations in the number $\text{N}$ and the conductance γ of sodium channels following changes of the holding potential were calculated. Hyperpolarizing the membrane from $\text{V}{}_{\mathrm{<mtext>H</mtext>}}\text{= 0}$ to ?28 mV increased $\text{N}$ by a factor of 3.7, whereas γ decreased by a factor of 0.53. These actions of holding potential on sodium channels develop slowly since 500 ms prepulses to 0 or ?28 mV do not alter the values of $\text{N}$ and γ.     

Role of hippurate in acidosis induced adaptation in renal gamma-glutamyltransferase

Metabolic acidosis results in an adaptation in renal γ-glutamyltransferase (γ-GT) and a doubling of hippurate excretion. The greater rate of γ-glutamohydroxamate, γ-GHA, formation from L-glutamine, but not from glutathione, by acidotic kidney homogenates suggest an increased γ-glutamyl-enzyme complex formation and a preference for glutamine as the γ-glutamyl donor in acidosis. Hippurate added $\text{in}$$\text{vitro}$ to cortical homogenates or microsomes mimics the affect of acidosis upon γ-GHA formation from glutamine. Acid extracts of urine stimulated ammonia formation from glutamine using cortical microsomes in agreement with the measured hippurate levels. Administering an exogenous hippurate load to fasting nonacidotic rats doubled ammonia excretion and the rate of γ-GHA formation by cortical homogenates. These results are consistent with the acidosis induced adaptation in renal γ-GT governed by hippurate.     

Vitamin K-dependent gamma-carboxyglutamic acid formation by kidney microsomes in vitro.

γ-Carboxyglutamic acid has been identified as a constituent of renal tissue in chicken, rat, and rabbit and is depressed by vitamin K-deficiency or dicoumarol diets. Thorough perfusion of rat and rabbit kidneys to remove blood contamination does not remove the γ-carboxyglutamate containing protein(s), which appear to be localized in the cortex. Incubation of kidney microsomes with [¹⁴C]NaHCO₃in vitro results in the post-translational formation of protein bound $\text{[}{}^{14}\text{C]-γ-carboxyglutamic}$ acid. Incorporation is stimulated 1.6- to 34-fold by addition of the active vitamin K 2-methyl, 3-farnesyl, 1,4-naphthoquinone. About 80% of incorporated, non-dialyzable ¹⁴C is situated in the γ-carboxyl group of γ-carboxyglutamic acid.     

DNA synthesis during the division cycle of three substrains of Escherichia coliBr

The relationship between chromosome replication and the bacterial division cycle has been examined in three substrains of Escherichia coli$\text{B}\text{r}$ obtained from different sources and designated $\text{B}\text{r}$ A, $\text{B}\text{r}$ F and $\text{B}\text{r}$ K. At growth rates greater than 1.0 doubling per hour (μ > 1.0), the time for a round of chromosome replication (C) was 42 minutes in all three substrains, but the time between the end of a round and cell division (D) was 22 minutes in $\text{B}\text{r}$ A, 16 minutes in $\text{B}\text{r}$ F and 14 minutes in $\text{B}\text{r}$ K. At slower growth rates C and D increased, but to significantly different extents in the three substrains. When μ = 0.5, C and D were approximately 80 and 40 minutes in $\text{B}\text{r}$ A, 60 and 20 minutes in $\text{B}\text{r}$ F, and 70 and 20 minutes in $\text{B}\text{r}$ K.As a consequence of the lengths of the C and D periods in the three stocks of E. coli$\text{B}\text{r}$, the patterns of chromosome replication during the division cycle differed. The most obvious difference was that E. coli$\text{B}\text{r}$ F and E. coli$\text{B}\text{r}$ K possessed periods devoid of DNA synthesis at both the beginning and the end of the division cycle during slow growth, whereas E. coli$\text{B}\text{r}$ A contained only one period devoid of DNA synthesis at the end of the cycle.     

The accumulation of deleterious genes in a population—Muller's Ratchet

A quantitative study of the operation of Muller's Ratchet for the accumulation of deleterious genes in an asexually reproducing population is made. For a population of size N, in which deleterious mutations occur at rate λ/genome/ generation, and the relative fitness of an individual with k mutants is (1 ? s)^k, the most important parameter is $\text{n}{}_0\text{= Ne}{}^{\mathrm{?\theta }}\text{,}\text{where}\text{θ =}\text{λ}\text{s}$. If n₀ is large (?25), deleterious mutations will accumulate very slowly, and independently of each other; if n₀ is small (<1), the rate of accumulation of deleterious mutations will be greater than a natural population could plausibly bear; an estimate of the speed of the Ratchet for intermediate values of n₀ is made. It is pointed out that the frequency distribution for the numbers of individuals carrying k mutants will retain its shape, but will move bodily to the right at the same average speed as the Ratchet. When favourable mutations also occur, the frequency distributions can move right of left; an estimate of the probability that any particular step is right or left is made, and it is shown that, for a given net rate of arrisal of deleterious mutations, the greater the rate of beneficial mutation, the greater the chance that beneficial mutations will accumulate.     

Inhibition by pyridoxal-5'-phosphate of gamma-aminobutyric acid receptor binding to synaptic membranes of cat cerebellum.

The binding of $\text{[}{}^3\text{H]γ-aminobutyric}$ acid to cat cerebellar membranes is $\text{reversibly}$ inhibited in a competitive manner by pyridoxal-5′-phosphate present during the binding assay. Structural analogues of the inhibitor have no such effect. If, on the other hand, the membranes are preincubated with pyridoxal-5′-phosphate followed by the addition of sodium borohydride, a rapid, $\text{irreversible}$ inhibition of subsequent γ-aminobutyric acid binding is observed. Since pyridoxal-5′-phosphate is known to inactivate certain enzymes by reacting with essential lysine residues, the present results suggest that such a lysine residue may be present within the γ-aminobutyric acid receptor.     

Characterization of native 40S particles from krebs II mouse ascites tumor cells. I. Phosphorylation in vitro of non ribosomal proteins by a cAMP independent protein kinase.

In the presence of [γ³²-P] ATP or [γ³²-P] GTP 4 non ribosomal proteins (M_r 110,000; 105,000; 89,000 and 25,000) of the native 40S subunit became phosphorylated. The protein kinase responsible for this phosphorylation could be removed by treatment with 0.5$\text{M}$ KCl. Sucrose density gradient analysis showed that the endogenous enzyme activity sedimented with approx. 7.5S.     

Separation of solubilized alpha and beta adrenergic receptors by affinity chromatography.

Isoelectric focusing in the presence of Nonidet P-40 splits human chromatographically pure γ globin chains into two bands of isoelectric points 6.95 and 6.85, respectively. The comparison of the relative proportions of the two bands with the ratios between the G_γ and A_γ non allelic chains of human fetal hemoglobin suggests that the band at pI 6.95 corresponds to G_γ and the band at pI 6.85 corresponds to the A_γ chain; the latter is the only band present in a patient with Greek type hereditary persistence of fetal hemoglobin, producing only A_γ chains. Fluorography of electrofocusing-separated radioactive γ globin chains synthesized by thalassemic reticulocytes indicates that the relative $\text{G}{}_{\mathrm{\gamma }}\text{A}{}_{\mathrm{\gamma }}$ synthetic ratios are similar to the relative amounts of G_γ and A_γ chains accumulated in the erythrocytes, suggesting that the activities for the G_γ and A_γ mRNAs decay at roughly similar rates.     

gamma-Glutamyl transpeptidase in Hydra.

γ-Glutamyl transpeptidase (EC 2.3.2.2) activity is described in the coelenterate, $\text{Hydra}$$\text{attenuata}$, using the substrate γ-glutamyl-p-nitroanilide. The properties of the γ-glutamyl donor required for binding to the transpeptidase were investigated by measuring the ability of GSH analogs to inhibit the release of p-nitroaniline. Whereas no binding was observed when the γ-glutamyl moiety was altered, analogs with substitution in the Cys residue were capable of binding to the enzyme. A specificity for the Gly residue was indicated because analogs containing Leu or Tyr in place of Gly exhibited decreased binding capacities for the hydra transpeptidase. A comparison of these data with those obtained using the same analogs in the GSH induced feeding response bioassay shows that γ-glutamyl transpeptidase activity and the GSH receptor for the hydra feeding response have different specificities.     

The ferritin content of human red blood cells during the replacement of embryonic cells by fetal cells

Mature human embryonic erythrocytes (hemoglobin is ≥ 90% of the cellular protein) contained at least 20 times as much ferritin as human adult erythrocytes, suggesting the possibility that the embryonic red cells participate in iron storage as they do in other embryonic or larval vertebrates. The ferritin content of mature red cells in the circulation declined when fetal red cells replaced embryonic red cells; the cell replacement was monitored by the disappearance of embryonic ε-chains and the appearance of the fetal globin chains, γ^A and γ^G. A constant ratio of 0.67 was obtained for $\text{γ}{}^{\mathrm{<mtext>G</mtext>}}\text{γ}{}^{\mathrm{<mtext>A</mtext>}}\text{+ γ}{}^{\mathrm{<mtext>G</mtext>}}$ from the first detectable appearance (4 weeks after conception) until 13 weeks, a value which is similar to the value previously obtained at 20 weeks gestation and birth but higher than that observable in adults; thus, both γ^G and γ^A chains are produced in similar amounts throughout gestation. The high levels of ferritin in normal human embryonic erythrocytes emphasize the similarity of erythropoiesis in human embryos and other vertebrates. In addition, the results show that red cell ferritin can be used as a marker for studying the mechanism of induction of embryonic erythropoiesis in cultured cell lines, such as K562 from human chronic myelocytic leukemia, and that ferritin content may also serve as a marker for cellular transformations involving reversions to embryonic erythropoiesis.     

Crystallographic data for haemoglobin from the lanceolate fluke Dicrocoelium dendriticum

Two crystal modifications of the monomeric haemoglobin from the flatworm Dicrocoelium dendriticum have been obtained by vapour diffusion against buffered polyethylene glycol solutions. Both the triclinic and hexagonal crystals contain cyanomethaemoglobin. The triclinic modification, space group PI, $\text{a = 37.1}\text{A}\text{?}\text{, b = 39.9}\text{A}\text{?}\text{, c = 49.0}\text{A}\text{?}\text{, α = 88.8}\text{°}\text{, β = 76.8}\text{°}\text{, γ = 64.6}\text{°}$, with two molecules, M_r = 16,750 each, per unit cell, has been selected for a detailed crystallographic study.     

An enzymatic method for [32P]phosphoenolpyruvate synthesis

A convenient method for the enzymatic synthesis of [³²P]phosphoenolpyruvate from [γ-³²P]ATP using partially pufified phosphoenolpyruvate carboxykinase from Escherichia coli is described. The synthesis was shown to convert essentially all the [γ-³²P]ATP to [³²P]phosphoenolpyruvate, which was subsequently separated from residual [γ-³²P]ATP and $\text{[}{}^{32}\text{P}\text{]P}{}_{\mathrm{<mtext>i</mtext>}}$ by chromatography on AG-1-X8-bicarbonate resin.     

Binding equations for interacting systems comprising multivalent acceptor and bivalent ligand: application to antigen-antibody systems

Consideration is given to the reversible interaction of a bivalent ligand, B, with a multivalent acceptor, A (possessing f reactive sites) which leads to the formation of a series of complexes, A_iB_j, comprising networks of alternating acceptor and ligand molecules. A binding equation is derived on the basis of a site association constant, k, defined in terms of reacted site probability functions. This equation, which relates the binding function, r (the moles of ligand bound per mole of acceptor) to the concentration of unbound ligand, m_b, is used to show that plots of r vs. 2km_B constructed with fixed but different values of $\text{k}\text{m}{}_{\mathrm{A}}$ intersect at the point ($\text{m}{}_{\mathrm{B}}\text{=}\text{1}\text{2k}\text{, r =}\text{f}\text{2}$) where the extent of reaction and the concentrations of those complexes for which $\text{j}\text{i}\text{=}\text{f}\text{2}$ attain maximal values. Corresponding Scatchard plots are shown by numerical example to be non-linear, their second derivative being positive for all r. It follows that such deviations from linearity cannot be taken alone as evidence for site heterogeneity in cross-linking systems. The binding equation obtained directly is shown to be identical with that obtained with f = 2 by summation procedures involving the general expression for concentrations of complexes, m_AiBj, formulated in terms of appropriate statistical factors. In this way, previous findings on precipitation and gel formation in cross-linking systems are correlated with the present development of binding theory.