Seed dispersal in a patchy environment with global age dependence

A model of seed population dynamics proposed by S. A. Levin, A. Hastings, and D. Cohen is presented and analyzed. With the environment considered as a mosaic of patches, patch age is used along with time as an independent variable. Local dynamics depend not only on the local state, but also on the global environment via dispersal modelled by an integral over all patch ages. Basic technical properties of the time varying solutions are examined; necessary and sufficient conditions for nontrivial steady states are given; and general sufficient conditions for global asymptotic stability of these steady states are established. Primary tools of analysis include a hybrid Picard iteration, fixed point methods, monotonicity of solution structure, and upper and lower solutions for differential equations.This work was supported in part by National Science Foundation Grants MCS-7903497 and MCS-790349701     

Global stability of stationary solutions to a nonlinear diffusion equation in phytoplankton dynamics

We consider a nonlinear diffusion equation proposed by Shigesada and Okubo which describes phytoplankton growth dynamics with a selfs-hading effect.We show that the following alternative holds: Either (i) the trivial stationary solution which vanishes everywhere is a unique stationary solution and is globally stable, or (ii) the trivial solution is unstable and there exists a unique positive stationary solution which is globally stable. A criterion for the existence of positive stationary solutions is stated in terms of three parameters included in the equation.     

Isolation of a cloned DNA segment containing a ribosomal protein gene of Drosophila melanogaster

A Drosophila genomic DNA library in the vector Charon 4 was screened using cDNA derived from the small (6S-12S) poly(A)+ mRNA of 2-6-h-old Drosophila embryos. This fraction of mRNA is enriched for ribosomal protein-coding sequences. The selected recombinants were hybridized to total mRNA under conditions which allowed for isolation of homologous mRNAs. The mRNA from these RNA/DNA hybrids was eluted and translated in vitro. The translation products were analyzed by one- and two-dimensional electrophoresis with authentic ribosomal proteins as standards. One cloned DNA segment was found to contain a ribosomal protein gene, and a sequence which hybridizes strongly to at least 5 other ribosomal protein mRNAs.     

Macromolecular synthesis and stability in growth-arrested BALB/c-3T3 cells

Concentrations of methylglyoxal bis-(guanylhydrazone) (mGBG) that inhibited serum-stimulated BALB/c-3T3 cells in late G1 caused a marked inhibition of 3H-leucine incorporation during a 20-min incubation. No decrease was observed in the incorporation of 3H-uridine during a 20-min incubation; however, the amount of acid-insoluble 3H-uridine in mGBG-treated cultures was decreased when the incubation period was longer than 20 min. The amount of the decrease in the accumulation of incorporated 3H-uridine was directly proportional to the length of the incorporation time. Between 10 and 12 h after quiescent BALB/c-3T3 cells were serum-stimulated in mGBG no additional 3H-uridine was accumulated. The stability of the incorporated 3H-uridine, as determined by acid-insoluble radioactivity remaining after the addition of actinomycin D, was less in cells cultured in mGBG. Exogenous spermine or spermidine reversed the inhibition of 3H-uridine accumulation in acid-insoluble material produced by mGBG as well as the decrease in stability of the incorporated 3H-uridine in acid-insoluble material. The effects of mGBG on both the incorporation of 3H-uridine and the stability of the incorporated 3H-uridine can apparently be accounted for by an effect on ribosomal RNA.     

Global asymptotic stability for a vector disease model with spatial spread

Summary We analyze the global behaviour of a vector disease model which involves spatial spread and hereditary effects. This model can be applied to investigate growth and spread of malaria. No immunization is considered. We prove that, if the recovery rate is less than or equal to a threshold value, the disease dies out, otherwise the infectious people density tends to a homogeneous distribution. Our results follow using contracting convexes techniques and agree with the results given by K. L. Cooke for the model without diffusion.Work supported by C.N.R., Grant No. 79.00696.01.     

Immobilization of luciferase from the firefly Luciola mingrelica — Catalytic properties and stability of the immobilized enzyme

Firefly (Luciola mingrelica) luciferase [Photinus luciferin 4-monooxygenase (ATP-hydrolysing); Photinus luciferin: oxygen 4-oxidoreductase (decarboxylating, ATP-hydrolysing), EC 1.13.12.7] has been immobilized on albumin and polyacrylamide gel, on AH-, CH- and CNBr-Sepharose 4B as well as on Ultragel, Ultradex and cellophane film activated by cyanogen bromide. Only immobilization on cyanogen bromide-activated polysaccharide carriers resulted in highly active immobilized luciferase. Kinetic properties of immobilized luciferase hardly differed from those of the soluble enzyme. The inactivation rate constants of soluble and immobilized luciferase were measured at pH 5.5–9.0 and 25°C as well as at pH 7.8 and 20–40°C. The ΔH^≠ and ΔS^≠ values for inactivation of soluble and immobilized luciferases were obtained. A 1000-fold stabilization effect was noted for the luciferase immobilized on CNBr-Sepharose 4B at pH 7.5 and 25°C. A stabilization mechanism for the immobilized luciferase is discussed.     

Limnology and performance of waste treatment lagoons

By arranging sewage ponds in series, some feedback relationships within the food web are disconnected, but stability may increase. This particularly applies to a persistent clearwater-state in the last cell caused by mass growths of Daphnia or other zooplankton in the absence of fish. Microbial pollution in this case is reduced to a level which may permit nearly unrestricted irrigation. The oxygen balance of lagoons is, apart from the diurnal cycle, subject to substantial temporal variations. This also applies to continuous-flow laboratory models with a constant (BOD-load, temperature) or a constant-cycle (light) chemical and physical environment. An example is given illustrating a high adjustment stability of a lagoon in consequence of a catastrophic perturbation.The strong tendency of lagoons towards an oligomictic behaviour is promoted by thermal stratification and by a vertical gradient in the metabolic activity (oxidation/reduction potential). The hydrodynamic conditions oscillate between plug flow in periods of convective overturn and short-circuiting if thermal stratification has developed. Nevertheless, the average performance (BOD removal) for a particular season could be calculated with a reasonable accuracy. As a basis for this calculation, nomographs were developed from which the rate coefficient K₁ of BOD removal for a given combination of residence time and BOD load can be read.     

Changes in somatotypes of European males between 17 and 24 years

In order to examine the possible changes in somatotype of young males, 14 boys who had been somatotyped annually from 11 to 18 years by the Health-Carter anthropometric rating method were re-somatotyped at 24 years. The analysis focused on years 17, 18 and 24. Discriminant analysis, somatotype dispersion indices and distances, and the I-index were used to analyze the data. The findings showed a significant shift in somatotype from ectomorphmesomorph towards endo-mesomorphy between 17 and 24 years. This shift was greater than that observed by Zuk ('58), and was in the same direction. It is hypothesized that the somatotypes of males become more endo-mesomorphic from 17 years to the mid-twenties.