Logistic population growth under random dispersal

Various diffusion processes employed for modelling logistic growth are briefly summarized. A discrete-time, discrete-state space stochastic process for population growth is proposed and analyzed with either Bose-Einstein or Maxwell-Boltzmann statistics for the distribution of offspring in available sites in a restricted region. A diffusion approximation is constructed, which differs from those previously employed. The logistic law is a natural deterministic analog of the diffusion process.     

Fatty acids bound to vitamin D-binding protein (DBP) from human and bovine sera

Human and bovine vitamin D-binding protein (DBP) have been isolated from serum by a method that does not involve denaturing steps. This method includes Cibacron Blue-Sepharose chromatography, gel filtration, DEAE-Sephadex chromatography and albumin immunoadsorption. Analysis of fatty acids bound to the isolated human and bovine DBP showed molar ratios of fatty acid to protein of 0.4 and 1.3 respectively meanwhile human and bovine albumin have bound 1.8 and 1.5 moles per mol respectively. Most of fatty acids bound to human and bovine DBP are monounsaturated and saturated, mainly oleic and palmitic acids, which together account for 50% of the total of fatty acids in both species. By contrast, polyunsaturated fatty acids represented a minor component, less than 5%.     

Two high affinity estrogen binding proteins of different specificity in the immature rat uterus cytosol

The presence of two high affinity estrogen binding proteins in the uterine cytosol of the immature rat has been observed.Besides the 8 S cytosol estrogen $\text{receptor}$, there is a 4–5 S fraction binding estradiol and estrone with a large capacity. In fact, the two binding systems have a different affinity for estradiol and estrone, the receptor binding more the former and the 4–5 S fraction more the latter. Exposure of the cytosol to specific anti-α₁-Fetoprotein antibodies suppresses a large part of the 4–5 S binder, if not the totality. Moreover the estrogen binding 4–5 S fraction decreases with increasing age until puberty, while the $\text{receptor}$ increases. These results suggest therefore that the estradiol-estrone binding 4–5 S peak of the uterine cytosol is mainly made up of Estradiol Binding Plasma Protein-α₁-Fetoprotein (EBP-AFP). Also they confirm that “cytosol” should be taken as an operational fraction which may include extracellular components.During the course of these experiments, it has been observed that the increase of the estradiol $\text{receptor}$ is more rapid than the other uterine cytosol proteins until the 8th day, and that there is a second period of growth when it follows the development of the uterus and of the animal, as if it had reached a constant number of binding sites per cell.     

Expression of mRNAs for alpha-fetoprotein (AFP) and albumin and incorporation of AFP and docosahexaenoic acid in baboon fetuses.

alpha-Fetoprotein and albumin, two members of a multigene family, reversibly bind fatty acids with high affinity. The origin of alpha-fetoprotein (AFP) and albumin present in fetal tissues other than the liver and yolk sac is a subject of controversy. In this work, we have searched for the presence of the albumin and AFP mRNA molecules in different fetal organs of the baboon (Papio cinocephalus), using a highly sensitive gel-blot hybridization assay with human albumin and AFP cDNA probes. Large amounts of albumin and AFP mRNA molecules were found in the fetal liver; significant quantities were also present in the gastrointestinal tract and in the kidney. No detectable levels were found in the other tissues examined (brain, skin, spleen, pancreas, muscle, heart, thymus, placenta, and amnion). After injection of radiolabeled AFP into pregnant baboons, all fetal tissues took up the protein. White adipose tissue, kidney, intestine, lung, liver, and cerebral cortex showed a great uptake of exogenous AFP. [14C]Docosahexaenoic acid (22:6, n-3), injected at the same time, was actively transferred from the maternal compartment across the placenta and incorporated into cellular lipids by all fetal tissues and particularly by liver (around 70% of total incorporation). The levels of [14C]docosahexaenoic acid per gram of tissue increased in the order: maternal blood less than placenta less than fetal liver, indicating a selective accumulation of this fatty acid by the fetus. These results indicate that intracellular AFP in non-hepatic tissues of the developing baboon is, for the most part, of plasma origin.     

Fatty acid metabolism in human lymphocytes. I. Time-course changes in fatty acid composition and membrane fluidity during blastic transformation of peripheral blood lymphocytes

The time-course changes in fatty acid composition of human T-lymphocytes during blastic transformation were analysed, as well as the variations in membrane fluidity determined by fluorescence polarization of 1,6-diphenyl-1,3,5-hexatriene (DPH), using a fluorescence-activated cell sorter. The more important changes observed, in activated relative to quiescent cells, started after 24 h and consisted in an increase in the proportion of oleic (18:1(n - 9)), docosapentaenoic (22:5(n - 3)) and docosahexaenoic (22:6(n - 3)) acids and a decrease in that of linoleic (18:2(n - 6)) and arachidonic (20:4(n - 6)) acids. This represented a relative increase of 26% for 18:1, 56% for 22:5 and 84% for 22:6 in peripheral blood mononuclear cells (PBMC) and 35%, 182% and 94%, respectively, in purified T-lymphocytes, both activated for 72 h. The decrease in n - 6 fatty acids was of 42% for 18:2 and 14% for 20:4 in PBMC and 30% and 19%, respectively, for 72 h. The decrease in n - 6 fatty acids was of 42% for 18:2 and 14% for 20:4 in PBMC and 30% and phosphatidylethanolamine) rather than neutral lipids. The 18:1/18:0 ratio increased greatly in major cell phospholipids. The proportion of 20:4, 22:5 and 22:6 in phosphatidylinositol was not significantly altered after 72 h of activation. The molar ratio cholesterol/phospholipids was reduced in 72-h-activated lymphocytes (0.29) compared to quiescent cells (0.5). On the other hand, the stimulation of human T-lymphocytes caused a significant decrease in the order parameter (S) of DPH, according to the observed changes in lipid composition. After 72 h in culture, the S value for quiescent and stimulated T-lymphocytes was 0.530 and 0.326, respectively. In conclusion, the blastic transformation of human T-lymphocytes is associated with changes in lipid composition which modify the physical properties of their membranes. These modifications could modulate, in turn, the activity of membrane proteins implicated in the process of blastic transformation.     

Comparison and Analysis of Zinc and Cobalt-Based Systems as Catalytic Entities for the Hydration of Carbon Dioxide

In nature, the zinc metalloenzyme carbonic anhydrase II (CAII) efficiently catalyzes the conversion of carbon dioxide (CO₂) to bicarbonate under physiological conditions. Many research efforts have been directed towards the development of small molecule mimetics that can facilitate this process and thus have a beneficial environmental impact, but these efforts have met very limited success. Herein, we undertook quantum mechanical calculations of four mimetics, 1,5,9-triazacyclododedacane, 1,4,7,10-tetraazacyclododedacane, tris(4,5-dimethyl-2-imidazolyl)phosphine, and tris(2-benzimidazolylmethyl)amine, in their complexed form either with the Zn²⁺ or the Co²⁺ ion and studied their reaction coordinate for CO₂ hydration. These calculations demonstrated that the ability of the complex to maintain a tetrahedral geometry and bind bicarbonate in a unidentate manner were vital for the hydration reaction to proceed favorably. Furthermore, these calculations show that the catalytic activity of the examined zinc complexes was insensitive to coordination states for zinc, while coordination states above four were found to have an unfavorable effect on product release for the cobalt counterparts.     

Structural changes of vegetation and its association with microclimate in a successional gradient of low thorn forest in northeastern Mexico

Understanding how microclimate and vegetation are associated during secondary succession is of primary importance for plant conservation in the face of the increasing land cover modification. However, these patterns are still unstudied for many plant communities. This study aimed to evaluate the structure (species richness, Shannon's diversity index, Simpson´s dominance index, abundance of each species, average height of species, species cover (%), species composition, and indicator values) of a low thorn forest fragment and to analyze its relation with microclimate along a successional gradient. Four stages of succession were delimited by the analysis of Landsat images, in the state of Tamaulipas, northeast Mexico. Statistical models incorporated species richness, diversity indices, abundance, height, and cover, as variables for searching differences between stages, or to evaluate microclimate associations. A total of 70 species, 54 genera, and 27 families were determined. Height of tree layer was the most important variable for discrimination of the successional stages. Conserved areas differed floristically from other stages, associated mainly with the lowest values of wind speed originated by tree layer characteristics. A significant association between species and microclimate was found, being wind speed and relative humidity the most important variables. Some species, due to their high importance values and their patterns of association with microclimate, may be considered as key taxa for low thorn forest, which is a threatened semitropical community in northeast Mexico. Conserved and late successional areas account for climatic regulation of this plant community, and the importance of these forest patches may be considered when establishing biodiversity protection areas.

     

Iteration model of starch hydrolysis by amylolytic enzymes.

An elaborate computer program to simulate the process of starch hydrolysis by amylolytic enzymes was been developed. It is based on the Monte Carlo method and iteration kinetic model, which predict productive and non-productive amylase complexes with substrates. It describes both multienzymatic and multisubstrate reactions simulating the "real" concentrations of all components versus the time of the depolymerization reaction the number of substrates, intermediate products, and final products are limited only by computer memory. In this work, it is assumed that the "proper" substrate for amylases is the glucoside linkages in starch molecules. Dynamic changes of substrate during the simulation adequately influence the increase or decrease of reaction velocity, as well as the kinetics of depolymerization. The presented kinetic model, can be adapted to describe most enzymatic degradations of a polymer. This computer program has been tested on experimental data obtained for alpha- and beta-amylases.