Stability of an age specific population with density dependent fertility

A nonlinear version of the Lotka-Sharpe model of population growth is considered in which the age specific fertility is a function of the population size. The stability of an equilibrium population distribution is investigated with respect to both global and local perturbations. Sufficient conditions for such stability are presented, as are estimates for the rate of return of the population to the equilibrium configuration. Particular attention is paid to those situations in which the age dependent stability criteria coincide with those of age independent models.     

Hypoxanthine-guanine phosphoribosyl transferase deficiency

Summary In man congenital lack of an enzyme of the purine salvage system, hypoxanthineguanine phosphoribosyl transferase (HG-PRT E.C. 2.4.2.8), is mostly accompanied by a picture known as the Lesch-Nyhan syndrome. The degree of deficiency may vary from zero to a few percent of normal activity but a correlation between the severity of HG-PRT deficiency and the clinical picture has not been observed, no more than a correlation between HG-PRT deficiency and neurological dysfunction. But individuals with undetectable HG-PRT activity but without the Lesch-Nyhan syndrome have been described. Patients with partial HG-PRT deficiency have clinically distinctive findings. Sometimes mild neurological abnormalities are observed. Because of marked overproduction of uric acid severe gouty arthritis and renal dysfunction are often encountered in both complete and partial deficiency.There is considerable molecular heterogeneity in HG-PRT deficiency in man. Mutant enzymes may exhibit different kinetic and electrophoretic properties, indicating that there might be a mutation on the structural gene coding for HG-PRT.Lack of HG-PRT disturbs purine interconversions profoundly. In addition to an important function of HG-PRT in the uptake of the purine bases hypoxanthine and guanine into the cell, the effective uptake of inosine, guanosine and adenosine also seems to be dependent on HG-PRT. Uptake of purine bases into intact red blood cells occurs according to a two component mechanism, one component probably involving a phosphoribosyl transferase system.The inheritance of HG-PRT deficiency is X-linked recessive and it is transmitted by asymptomatic carrier females. Several methods have been introduced for carrier detection. As a consequence of X chromosome inactivation, in these females a mosaicism of HG-PRT positive and HG-PRT negative fibroblasts can be demonstrated after cloning or after selection of HG-PRT negative cells in a selective medium. A more rapid method involves direct measurements of HG-PRT activities in single hair roots from the scalp. Because hair roots develop more or less clonally, in heterozygote females HG-PRT positive and negative hair roots are encountered. HG-PRT deficiency can be detected antenatally by demonstrating the presence or absence of enzyme activity in ammiotic fluid derived fibroblasts qualitatively by autoradiography and quantitatively by ultramicrochemical measurements of enzyme activities in single or small numbers of cells.In studies with isolated cells the metabolic defect can be corrected in several ways. Metabolic cooperation between HG-PRT positive and HG-PRT negative cells leads to apparently normal phenotype of all cells, provided there is cell to cell contact. There is evidence that a missing enzyme product or a derivative might be transferred from the normal to the mutant cells. Apparent correction of the enzyme defect is also observed when HG-PRT deficient lymphocytes are stimulated with phytohaemagglutinin.The first data suggestive of genetic complementation between two human HG-PRT deficient cell strains by which hybrid cells can synthesize a functionally active HG-PRT, are consistent with the view that HG-PRT deficiency in man is due to a structural gene mutation. Recent results show that other interesting findings might come from experiments in which HG-PRT deficient cells are treated with exogenous genetic material (isolated DNA or metaphase chromosomes) to reactivate or induce HG-PRT activity.Supported by grants from FUNGO (Foundation for Medical Scientific Research in the Netherlands) and the Medical Prevention Fund.     

Sodium periodate stimulation of human lymphocytes : A comparison between normal and chronic lymphocytic leukemia lymphocytes

Lymphocytes from healthy donors and from patients with chronic lymphocytic leukemia (CLL) were stimulated to divide with sodium periodate. The time of maximal response of normal lymphocytes to sodium periodate (NaIO₄) was earlier than that observed to phytohemagglutinin (PHA), but the magnitude was lower. In comparison, CLL lymphocytes responded to NaIO₄ more extensively and earlier than to PHA.     

Stochastic processes in particle-number fluctuations in an electron-photon shower

The paper is concerned with the existence and asymptotic character of the nonlinear boundary value problemdG/dt=F(t,G,F, ¦α?β¦) (1) ¦α?β¦dF/dt=g(t,G,F, ¦α?β¦)G(o,¦α?β¦)=k ₁,G(∞,¦α?β¦)=k ₂ (2) as ¦α?β¦→ o+ The discussion is related to the problem of particle-number fluctuations in the theory of cosmic radiation andG andF denote respectively the probability generating functions for the electron distribution in an electron-initiated and a photon-initiated shower. A solution of the system (1) satisfying the boundary conditions (2) is constructed so that specified limiting conditions are fulfilled.     

The dermatoglyphics of American Negroes

Digital and palmar dermatoglyphics of 184 male and 224 female normal American Negroes were evaluated for digital patterns, digital ridge counts, palmar patterns, palmar main line terminations, accessory triradii and palmar creases. All subjects were seven year olds examined and found free of chronic or other genetic diseases. The results were presented for the left and right hand for the most part comparable to those of the African and other American Negro groups reported earlier. The distributions of the various dermatoglyphic features among the Negroes taken as a group were compared to those of the other racial groups and their differences were discussed.     

Recycling of cell surface membrane proteins from yeast endosomes is regulated by ubiquitinated Ist1

Upon internalization, many surface membrane proteins are recycled back to the plasma membrane. Although these endosomal trafficking pathways control surface protein activity, the precise regulatory features and division of labor between interconnected pathways are poorly defined. In yeast, we show recycling back to the surface occurs through distinct pathways. In addition to retrograde recycling pathways via the late Golgi, used by synaptobrevins and driven by cargo ubiquitination, we find nutrient transporter recycling bypasses the Golgi in a pathway driven by cargo deubiquitination. Nutrient transporters rapidly internalize to, and recycle from, endosomes marked by the ESCRT-III associated factor Ist1. This compartment serves as both “early” and “recycling” endosome. We show Ist1 is ubiquitinated and that this is required for proper endosomal recruitment and cargo recycling to the surface. Additionally, the essential ATPase Cdc48 and its adaptor Npl4 are required for recycling, potentially through regulation of ubiquitinated Ist1. This collectively suggests mechanistic features of recycling from endosomes to the plasma membrane are conserved.     

Regulation of membrane fluidity by RNF145‐triggered degradation of the lipid hydrolase ADIPOR2

The regulation of membrane lipid composition is critical for cellular homeostasis. Cells are particularly sensitive to phospholipid saturation, with increased saturation causing membrane rigidification and lipotoxicity. How mammalian cells sense membrane lipid composition and reverse fatty acid (FA)‐induced membrane rigidification is poorly understood. Here we systematically identify proteins that differ between mammalian cells fed saturated versus unsaturated FAs. The most differentially expressed proteins were two ER‐resident polytopic membrane proteins: the E3 ubiquitin ligase RNF145 and the lipid hydrolase ADIPOR2. In unsaturated lipid membranes, RNF145 is stable, promoting its lipid‐sensitive interaction, ubiquitination and degradation of ADIPOR2. When membranes become enriched in saturated FAs, RNF145 is rapidly auto‐ubiquitinated and degraded, stabilising ADIPOR2, whose hydrolase activity restores lipid homeostasis and prevents lipotoxicity. We therefore identify RNF145 as a FA‐responsive ubiquitin ligase which, together with ADIPOR2, defines an autoregulatory pathway that controls cellular membrane lipid homeostasis and prevents acute lipotoxic stress.     

Engineering a homobutanol fermentation pathway in Escherichia coli EG03

A homobutanol fermentation pathway was engineered in a derivative of Escherichia coli B (glucose [glycolysis] => 2 pyruvate + 2 NADH; pyruvate [pyruvate dehydrogenase] => acetyl-CoA + NADH; 2 acetyl-CoA [butanol pathway enzymes] + 4 NADH => butanol; summary stoichiometry: glucose => butanol). Initially, the native fermentation pathways were eliminated from E. coli B by deleting the genes encoding for lactate dehydrogenase (ldhA), acetate kinase (ackA), fumarate reductase (frdABCD), pyruvate formate lyase (pflB), and alcohol dehydrogenase (adhE), and the pyruvate dehydrogenase complex (aceEF-lpd) was anaerobically expressed through promoter replacement. The resulting strain, E. coli EG03 (ΔfrdABCD ΔldhA ΔackA ΔpflB Δ adhE ΔpdhR ::pflBp6-aceEF-lpd ΔmgsA), could generate 4 NADH for every glucose oxidized to two acetyl-CoA through glycolysis and the pyruvate dehydrogenase complex. However, EG03 lost its ability for anaerobic growth due to the lack of NADH oxidation pathways. When the butanol pathway genes that encode for acetyl-CoA acetyltransferase (thiL), 3-hydroxybutyryl-CoA dehydrogenase (hbd), crotonase (crt), butyryl-CoA dehydrogenase (bcd, etfA, etfB), and butyraldehyde dehydrogenase (adheII) were cloned from Clostridium acetobutylicum ATCC 824, and expressed in E. coli EG03, a balanced NADH oxidation pathway was established for homobutanol fermentation (glucose => 4 NADH + 2 acetyl-CoA => butanol). This strain was able to convert glucose to butanol (1,254 mg l(-1)) under anaerobic condition.