Random walks systems with killing on Z

We study random walks systems on Z whose general description follows. At time zero, there is a number N >= 1 of particles at each vertex of N, all being inactive, except for those placed at the vertex one. Each active particle performs a simple random walk on Z and, up to the time it dies, it activates all inactive particles that it meets along its way. An active particle dies at the instant it reaches a certain fixed total of jumps (L >= 1) without activating any particle, so that its lifetime depends strongly on the past of the process. We investigate how the probability of survival of the process depends on L and on the jumping probabilities of the active particles.

NONHOMOGENEOUS RANDOM WALKS SYSTEMS ON Z

We consider a random walks system on Z in which each active particle performs a nearest-neighbor random walk and activates all inactive particles it encounters. The movement of an active particle stops when it reaches a certain number of jumps without activating any particle. We prove that if the process relies on efficient particles (i.e. those particles with a small probability of jumping to the left) being placed strategically on Z, then it might survive, having active particles at any time with positive probability. On the other hand, we may construct a process that dies out eventually almost surely, even if it relies on efficient particles. That is, we discuss what happens if particles are initially placed very far away from each other or if their probability of jumping to the right tends to I but not fast enough.

Random recursion

Thesis (Ph.D.)--University of Washington, 2016-06

A hard slog, not a leap frog : globalization and sustainability transitions in developing Asia

How does globalization influence transitions toward more sustainable socio-technical regimes in the developing world? This paper argues that transformations of regimes, the networks and institutions governing technological and environmental practices in an industry, can be positively influenced by globalization but it depends on how global forces interact with local socio-political landscapes-the political-economic institutions, values, and regulations broadly guiding an economy and its relationship to the environment. We evaluate these relationships through a comparison of two kinds of socio-political landscapes-the neo-liberal export-led development model commonly found in the developing world and the uniquely Asian capitalist developmental state. We first show how the neo-liberal model overemphasizes the power of market forces to facilitate upgrading and more sustainable industrialization. We then argue that capitalist developmental states in East and Southeast Asia have been better able to harness global economic forces for technological and sustainability transitions through an openness to trade and investment and effective public-private institutions able to link cleaner technologies and environmental standards to production activities in firms. We buttress this argument with firm-level evidence showing the evolution of socio-technical regimes in two industries-cement and electronics. The case studies demonstrate how interactions with OECD firms can contribute to environmental technique effects provided the socio-political landscape is amenable to changes in an industry's regime. Ultimately, we find the process of transition to be complex and contingent; a hard slog not a leap frog toward a potentially more sustainable future. We close by considering the limitations on the capitalist developmental state model and with comments about what else needs to be learned about globalization's role in sustainability transitions.

Expression of eph-family receptor tyrosine kinases and ephrins in the tadpole of the frog Xenopus laevis, and possible roles in the development of retinotectal topography

Assembling a nervous system requires exquisite specificity in the construction of neuronal connectivity. One method by which such specificity is implemented is the presence of chemical cues within the tissues, differentiating one region from another, and the presence of receptors for those cues on the surface of neurons and their axons that are navigating within this cellular environment.

Connections from one part of the nervous system to another often take the form of a topographic mapping. One widely studied model system that involves such a mapping is the vertebrate retinotectal projection-the set of connections between the eye and the optic tectum of the midbrain, which is the primary visual center in non-mammals and is homologous to the superior colliculus in mammals. In this projection the two-dimensional surface of the retina is mapped smoothly onto the two-dimensional surface of the tectum, such that light from neighboring points in visual space excites neighboring cells in the brain. This mapping is implemented at least in part via differential chemical cues in different regions of the tectum.

The Eph family of receptor tyrosine kinases and their cell-surface ligands, the ephrins, have been implicated in a wide variety of processes, generally involving cellular movement in response to extracellular cues. In particular, they possess expression patterns-i.e., complementary gradients of receptor in retina and ligand in tectum- and in vitro and in vivo activities and phenotypes-i.e., repulsive guidance of axons and defective mapping in mutants, respectively-consistent with the long-sought retinotectal chemical mapping cues.

The tadpole of Xenopus laevis, the South African clawed frog, is advantageous for in vivo retinotectal studies because of its transparency and manipulability. However, neither the expression patterns nor the retinotectal roles of these proteins have been well characterized in this system. We report here comprehensive descriptions in swimming stage tadpoles of the messenger RNA expression patterns of eleven known Xenopus Eph and ephrin genes, including xephrin-A3, which is novel, and xEphB2, whose expression pattern has not previously been published in detail. We also report the results of in vivo protein injection perturbation studies on Xenopus retinotectal topography, which were negative, and of in vitro axonal guidance assays, which suggest a previously unrecognized attractive activity of ephrins at low concentrations on retinal ganglion cell axons. This raises the possibility that these axons find their correct targets in part by seeking out a preferred concentration of ligands appropriate to their individual receptor expression levels, rather than by being repelled to greater or lesser degrees by the ephrins but attracted by some as-yet-unknown cue(s).

Kassinakinin S: A novel histamine-releasing heptadecapeptide from frog (Kassina senegalensis) skin secretion

Amphibian defensive skin secretions remain a largely untapped resource for the peptide biochemist with an interest in the identification, structural characterization, and precursor cDNA cloning of novel bioactive peptides. Here we report the isolation, structural characterization, functional profiling, and nucleotide sequence of precursor cDNA of a novel histamine-releasing heptadecapeptide, FIPVTLLALHKIKEKLN-amide, from the defensive skin secretion of the African running frog, Kassina senegalensis. This peptide was found to be a potent histamine secretagogue (EC[5][0]=6 µM; maximal release = 25 µM) in a rat peritoneal mast cell model system and was accordingly named kassinakinin S. The open-reading frame of the cDNA encoding prepro-kassinakinin S was found to consist of 71 amino acid residues containing a single copy of kassinakinin S and its glycyl residue amide donor at the C-terminus. Kassinakinin S can thus be added to the growing list of amphibian skin bioactive peptide prototypes.

A novel and potent trypsin inhibitor peptide, AC-17, from the skin secretion of the edible frog, Rana esculenta

Protease inhibitors are found in many venoms and evidence suggests that they occur widely in amphibian skin secretions. Kunitz inhibitors have been found in the skin secretions of bombinid toads and ranid frogs, Kazal inhibitors in phyllomedusine frogs and Bowman–Birk inhibitors in ranid frogs. Selective protease inhibitors could have important applications as therapeutics in the treatment of diseases in which discrete proteases play an aetiologcal role. Here we have examined the skin secretion of the edible frog, Rana esculenta, for protease inhibitors using trypsin as a model. HPLC fractions of secretions were screened for inhibitory activity using a chromogenic substrate as reporter. Three major peptides were resolved with trypsin inhibitory activity in HPLC fractions — one was a Kunitz-type inhibitor, a second was a Bowman–Birk inhibitor but the third represented a novel class of trypsin inhibitor in European frog skin. Analysis of the peptide established the structure of a 17-mer with an N-terminal Ala (A) residue and a C-terminal Cys (C) residue with a single disulphide bridge between Cys 12 and 17. Peptide AC-17 resembled a typical “Rana box” antimicrobial peptide but while it was active against Escherichia coli (MIC 30 µM) it was devoid of activity against Staphylococcus aureus and of haemolytic activity. In contrast, the peptide was a potent inhibitor of trypsin with a Ki of 5.56 µM. AC-17 represents the prototype of a novel trypsin inhibitor from the skin secretion of a European ranid frog that may target a trypsin-like protease present on the surface of Gram-negative bacteria.

Antimicrobial peptides from the skin secretion of the Wuyi Mountain torrent frog, Amolops wuyiensis: An inhabitant of a pristine aquatic environment

The antimicrobial peptides of amphibian skin secretions are proposed to aid survival in microbe-rich environments. While many amphibians inhabit such environments, other such as the Wuyi Mountain torrent frog, Amolops wuyiensis, live in pristine waters flowing from underground mountain springs. This species thus represents an interesting model in which to study antimicrobial peptides. “Shotgun” cloning of a skin-derived cDNA library from this species identified transcripts encoding a brevinin-1 and a ranatuerin-2. Peptides with coincident molecular masses to both predicted mature peptides were identified in HPLC fractions of skin secretion. Synthetic replicates of both peptides were generated by solid-phase peptide synthesis and tested for activity using Staphylococcus aureus, Escherichia coli and Candida albicans. The brevinin was found to be broad-spectrum and potent with minimum inhibitory concentrations (MICs) of 24 µM (Sa), 5 µM (Ec) and 20 µM (Ca). In contrast, the ranatuerin was less effective and of narrower spectrum with an MIC > 200 µM for Sa, 40 µM (Ec) and 120 µM (Ca). Thus this species of amphibian that lives in a pristine environment does indeed possess at least one potent and broad-spectrum antimicrobial peptide in its skin secretion arsenal. This phenomenon could be explained in several ways. Firstly, it may represent an ancestral peptide required when the stem species inhabited microbe-rich environments. However, there is mounting evidence for the second reason, that suggests the function of such peptides is not primarily in antimicrobial defence.

Antifungal Activity of Peptides From the African Volcano Frog

Background: Candidal species, particularly Candida albicans are common pathogens in the oral cavity and perioral region. Many of the manifestations of candidiasis are associated with the formation of Candida biofilms on host surfaces and/or implanted biomaterials. Biofilms are clinically important due to their increased resistance to therapeutic intervention and the ability of cells within the biofilm to withstand host immune defences.
Objectives: The present study was designed to investigate the antifungal activity of two peptides found in skin secretions of the African volcano frog (Xenopus amieti) against the type strain of C. albicans NCTC 3179.
Methods: The antifungal activity of magainin-AM1 and peptide glycine-leucine-amide (PGLa-AM1) against C. albicans NCTC 3179 was studied in both planktonic and biofilm forms. Radial diffusion assays were used to obtain the minimum inhibitory concentration (MIC) of magainin-AM1 and PGLa-AM1 against planktonic C. albicans. Time kill assays were used to determine the time dependent fungicidal action of the peptides at both 4oC and 37oC. A 96 well microtitre plate model for candidal biofilm formation was employed to study the ability of the peptides to disrupt the early biofilm development (up to 24 hours) compared with the antifungal drug fluconazole. Biofilm formation was determined quantitatively using the crystal violet assay.
Results: Both magainin-AM1 and PGLa-AM1 demonstrated inhibitory activity against Candida albicans, with MIC values of 24.3 uM and 7.5uM respectively. Time-kill assays revealed bactericidal activity of both peptides at 37oC and 4oC. Magainin-AM1 and PGLa-AM1 inhibited biofilm formation in microtitre plate assays. The peptides were particularly effective during early biofilm establishment when compared with fluconazole treatment.
Conclusions: Magainin-AM1 and PGLa-AM1 are active against C albicans in both planktonic and biofilm forms. Further testing of this peptide family against candidal biofilms is recommended.

Adsorption of frog foam nest proteins at the air-water interface

The surfactant properties of aqueous protein mixtures ( ranaspumins) from the foam nests of the tropical frog Physalaemus pustulosus have been investigated by surface tension, two-photon excitation. uorescence microscopy, specular neutron reflection, and related biophysical techniques. Ranaspumins lower the surface tension of water more rapidly and more effectively than standard globular proteins under similar conditions. Two- photon excitation. uorescence microscopy of nest foams treated with fluorescent marker ( anilinonaphthalene sulfonic acid) shows partitioning of hydrophobic proteins into the air-water interface and allows imaging of the foam structure. The surface excess of the adsorbed protein layers, determined from measurements of neutron reflection from the surface of water utilizing H2O/D2O mixtures, shows a persistent increase of surface excess and layer thickness with bulk concentration. At the highest concentration studied ( 0.5 mg ml(-1)), the adsorbed layer is characterized by three distinct regions: a protruding top layer of similar to20 Angstrom, a middle layer of similar to30 Angstrom, and a more diffuse submerged layer projecting some 25 Angstrom into bulk solution. This suggests a model involving self-assembly of protein aggregates at the air-water interface in which initial foam formation is facilitated by specific surfactant proteins in the mixture, further stabilized by subsequent aggregation and cross-linking into a multilayer surface complex.

Using ecological niche modelling to infer past, present and future environmental suitability for Leiopelma hochstetteri, an endangered New Zealand native frog

Leiopelma hochstetteri is an endangered New Zealand frog now confined to isolated populations scattered across the North Island. A better understanding of its past, current and predicted future environmental suitability will contribute to its conservation which is in jeopardy due to human activities, feral predators, disease and climate change. Here we use ecological niche modelling with all known occurrence data (N = 1708) and six determinant environmental variables to elucidate current, pre-human and future environmental suitability of this species. Comparison among independent runs, subfossil records and a clamping method allow validation of models. Many areas identified as currently suitable do not host any known populations. This apparent discrepancy could be explained by several non exclusive hypotheses: the areas have not been adequately surveyed and undiscovered populations still remain, the model is over simplistic; the species` sensitivity to fragmentation and small population size; biotic interactions; historical events. An additional outcome is that apparently suitable, but frog-less areas could be targeted for future translocations. Surprisingly, pre-human conditions do not differ markedly highlighting the possibility that the range of the species was broadly fragmented before human arrival. Nevertheless, some populations, particularly on the west of the North Island may have disappeared as a result of human mediated habitat modification. Future conditions are marked with higher temperatures, which are predicted to be favourable to the species. However, such virtual gain in suitable range will probably not benefit the species given the highly fragmented nature of existing habitat and the low dispersal ability of this species. (C) 2010 Elsevier Ltd. All rights reserved.

High Levels of Diversity Uncovered in a Widespread Nominal Taxon: Continental Phylogeography of the Neotropical Tree Frog Dendropsophus minutus

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Interaction of biologically-relevant peptides with membrane model systems

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Sexual dimorphism and directional sexual selection on aposematic signals in a poison frog

It is commonly assumed that natural selection imposed by predators is the prevailing force driving the evolution of aposematic traits. Here, we demonstrate that aposematic signals are shaped by sexual selection as well. We evaluated sexual selection for coloration brightness in populations of the poison frog Oophaga [Dendrobates] pumilio in Panama's Bocas del Toro archipelago. We assessed female preferences for brighter males by manipulating the perceived brightness of spectrally matched males in two-way choice experiments. We found strong female preferences for bright males in two island populations and weaker or ambiguous preferences in females from mainland populations. Spectral reflectance measurements, coupled with an O. pumilio-specific visual processing model, showed that O. pumilio coloration was significantly brighter in island than in mainland morphs. In one of the island populations (Isla Solarte), males were significantly more brightly colored than females. Taken together, these results provide evidence for directional sexual selection on aposematic coloration and document sexual dimorphism in vertebrate warning coloration. Although aposematic signals have long been upheld as exemplars of natural selection, our results show that sexual selection should not be ignored in studies of aposematic evolution.

The evolution of coloration and toxicity in the poison frog family (Dendrobatidae)

The poison frogs (family Dendrobatidae) are terrestrial anuran amphibians displaying a wide range of coloration and toxicity. These frogs generally have been considered to be aposematic, but relatively little research has been carried out to test the predictions of this hypothesis. Here we use a comparative approach to test one prediction of the hypothesis of aposematism: that coloration will evolve in tandem with toxicity. Recently, we developed a phylogenetic hypothesis of the evolutionary relationships among representative species of poison frogs, using sequences from three regions of mitochondrial DNA. In our analysis, we use that DNA-based phylogeny and comparative analysis of independent contrasts to investigate the correlation between coloration and toxicity in the poison frog family (Dendrobatidae). Information on the toxicity of different species was obtained from the literature. Two different measures of the brightness and extent of coloration were used. (i) Twenty-four human observers were asked to rank different photos of each different species in the analysis in terms of contrast to a leaf-littered background. (ii) Color photos of each species were scanned into a computer and a computer program was used to obtain a measure of the contrast of the colors of each species relative to a leaf-littered background. Comparative analyses of the results were carried out with two different models of character evolution: gradual change, with branch lengths proportional to the amount of genetic change, and punctuational change, with all change being associated with speciation events. Comparative analysis using either method or model indicated a significant correlation between the evolution of toxicity and coloration across this family. These results are consistent with the hypothesis that coloration in this group is aposematic.