An exactly solvable model of population dynamics with density-dependent migrations and the Allee effect

We consider a single-species model of population dynamics allowing for migrations and the Allee effect. Two types of migration are taken into account: one caused by environmental factors (e.g., a passive transport with the wind or water current) and the other associated with biological mechanisms. While the first type is apparently density-independent, the speed of migration in the second one can depend on the population density. Mathematically, this model consists of a non-linear partial differential equation of advection-diffusion-reaction type. Using an appropriate change of variables, we obtain an exact solution of the equation describing propagation of travelling population fronts. We show that, depending on parameter values and thus on the relative intensity of density-dependent and density-independent factors, the direction of the propagation can be different thus describing either species invasion or species retreat.     

Water-mediated hydrogen-bonded network on the cytoplasmic side of the Schiff base of the L photointermediate of bacteriorhodopsin

The L intermediate in the proton-motive photocycle of bacteriorhodopsin is the starting state for the first proton transfer, from the Schiff base to Asp85, in the formation of the M intermediate. Previous FTIR studies of L have identified unique vibration bands caused by the perturbation of several polar amino acid side chains and several internal water molecules located on the cytoplasmic side of the retinylidene chromophore. In the present FTIR study we describe spectral features of the L intermediate in D(2)O in the frequency region which includes the N-D stretching vibrations of the backbone amides. We show that a broad band in the 2220-2080 cm(-1) region appears in L. By use of appropriate (15)N labeling and mutants, the lower frequency side of this band in L is assigned to the amides of Lys216 and Gly220. These amides are coupled to each other, and interact with Thr46 and Val49 in helix B and Asp96 in helix C via weakly H-bonding water molecules that exhibit O-D stretching vibrations at 2621 and 2605 cm(-1). These water molecules are part of a hydrogen-bonded network characteristic of L which includes other water molecules located closer to the chromophore that exhibit an O-D stretching vibration at 2589 cm(-1). This structure, extending from the Schiff base to the internal proton donor Asp96, stabilizes L and affects the L-to-M transition.     

A family of highly diverse human and mouse genes structurally links leukocyte FcR,gp42 and PECAM-1

A group of genes encoding proteins structurally related to the leukocyte Fc receptors (FcRs) and termed the IFGP family was identified in human and mouse. Sequences of four human and two mouse cDNAs predict proteins differing by domain composition. One of the mouse cDNAs encodes a secreted protein, which, in addition to four immunoglobulin (Ig)-like domains, contains a scavenger receptor superfamily-related domain at the C-terminus. The other cDNAs code for the type I transmembrane proteins with the extracellular parts comprised of one to six Ig-like domains. Five homologous types of the Ig-like domains were defined and each protein was found to have a unique combination of the domain types. The cytoplasmic tails of the transmembrane proteins show different patterns of the tyrosine-based signal motifs. While the human IFGP members appear to be B-cell antigens, the mouse genes have a broader tissue distribution with predominant expression in brain. Sequence comparisons revealed that the IFGP family may be regarded as a phylogenetic link joining the leukocyte FcRs with the rat NK cell-specific gp42 antigen and platelet endothelial cell adhesion molecule-1 (PECAM-1), two mammalian leukocyte receptors whose close relatives were not found previously. It is suggested that FcRs, the IFGP proteins and gp42 have arisen by a series of duplications from a common ancestor receptor comprised of five Ig-like domains. The organization of the human genes shows that the IFGP family evolved through differential gain and loss of exons due to recombination and/or mutation accumulation in the duplicated copies.     

Improving coiled-coil stability by optimizing ionic interactions

Alpha-helical coiled coils are a common protein oligomerization motif stabilized mainly by hydrophobic interactions occurring along the coiled-coil interface. We have recently designed and solved the structure of a two-heptad repeat coiled-coil peptide that is stabilized further by a complex network of inter- and intrahelical salt-bridges in addition to the hydrophobic interactions. Here, we extend and improve the de novo design of this two heptad-repeat peptide by four newly designed peptides characterized by different types of ionic interactions. The contribution of these different types of ionic interactions to coiled-coil stability are analyzed by CD spectroscopy and analytical ultracentrifugation. We show that all peptides are highly alpha-helical and two of them are 100% dimeric under physiological conditions. Furthermore, we have solved the X-ray structure of the most stable of these peptides and the rational design principles are verified by comparing this structure to the structure of the parent peptide. We show that by combining the most favorable inter- and intrahelical salt-bridge arrangements it is possible to design coiled-coil oligomerization domains with improved stability properties.     

Evolution of duplicated alpha-tubulin genes in ciliates

Ciliates provide a powerful system to analyze the evolution of duplicated alpha-tubulin genes in the context of single-celled organisms. Genealogical analyses of ciliate alpha-tubulin sequences reveal five apparently recent gene duplications. Comparisons of paralogs in different ciliates implicate differing patterns of substitutions (e.g., ratios of replacement/synonymous nucleotides and radical/conservative amino acids) following duplication. Most substitutions between paralogs in Euplotes crassus, Halteria grandinella and Paramecium tetraurelia are synonymous. In contrast, alpha-tubulin paralogs within Stylonychia lemnae and Chilodonella uncinata are evolving at significantly different rates and have higher ratios of both replacement substitutions to synonymous substitutions and radical amino acid changes to conservative amino acid changes. Moreover, the amino acid substitutions in C. uncinata and S. lemnae paralogs are limited to short stretches that correspond to functionally important regions of the alpha-tubulin protein. The topology of ciliate alpha-tubulin genealogies are inconsistent with taxonomy based on morphology and other molecular markers, which may be due to taxonomic sampling, gene conversion, unequal rates of evolution, or asymmetric patterns of gene duplication and loss.