A methodological basis for description and analysis of systems with complex switch-like interactions

 A wide range of complex systems appear to have switch-like interactions, i.e. below (or above) a certain threshold x has no or little influence on y, while above (or below) this threshold the effect of x on y saturates rapidly to a constant level. Switching functions are frequently described by sigmoid functions or combinations of these. Within the context of ordinary differential equations we present a very general methodological basis for designing and analysing models involving complicated switching functions together with any other non-linearities. A procedure to determine position and stability properties of all stationary points lying close to a threshold for one or several variables, so-called singular stationary points, is developed. Such points may represent homeostatic states in models, and are therefore of considerable interest. The analysis provides a profound insight into the generic effects of steep sigmoid interactions on the dynamics around homeostatic points. It leads to qualitative as well as quantitative predictions without using advanced mathematical methods. Thus, it may have an important heuristic function in connection with numerical simulations aimed at unfolding the predictive potential of realistic models. Received 25 January 1996; received in revised form 29 June 1997     

Copper-mediated oxidation of imidazopyrazinones inhibits marine luciferase activity

The development of bioluminescence-based tools has seen steady growth in the field of chemical biology over the past few decades ranging in uses from reporter genes to assay development and targeted imaging. More recently, coelenterazine-utilizing luciferases such as Gaussia, Renilla, and the engineered nano-luciferases have been utilized due to their intense luminescence relative to firefly luciferin/luciferase. The emerging importance of these systems warrants investigations into the components that affect their light production. Previous work has reported that one marine luciferase, Gaussia, is potently inhibited by copper salt. The mechanism for inhibition was not elucidated but was hypothesized to occur via binding to the enzyme. In this study, we provide the first report of a group of nonhomologous marine luciferases also exhibiting marked decreases in light emission in the presence of copper (II). We investigate the mechanism of action behind this inhibition and demonstrate that the observed copper inhibition does not stem from a luciferase interaction but rather the chemical oxidation of imidazopyrazinone luciferins generating inert, dehydrated luciferins.     

Copper tolerance in bacteria requires the activation of multiple accessory pathways

Copper is a required micronutrient for bacteria and an essential cofactor for redox-active cuproenzymes. Yet, excess copper is extremely toxic, and is exploited as a bacteriocide in medical and biotechnological applications and also by the mammalian immune system. To evade copper toxicity, bacteria not only control intracellular copper homeostasis, but they must also repair the damage caused by excess copper. In this review, we summarize the bacterial cell-wide response to copper toxicity in Enterobacteria. Tapping into the abundant research data on two key organisms, Escherichia coli and Salmonella enterica, we show that copper resistance requires both the direct copper homeostatic response and also the indirect accessory pathways that deal with copper-induced damage. Since patterns of copper response are conserved through the Proteobacteria, we propose a cell-wide view of copper detoxification and copper tolerance that can be used to identify novel targets for copper-based antibacterial therapeutics.     

Copper Chaperone Cycling and Degradation in the Regulation of the<Emphasis Type="BoldItalic">Cop</Emphasis> Operon of <Emphasis Type="BoldItalic">Enterococcus Hirae</Emphasis>

Extensive insight into copper homeostasis has recently emerged. The Gram-positive bacterium Enterococcus hirae has been a paradigm for many aspects of the process. The cop operon of E. hirae consists of four genes that encode a repressor, CopY, a copper chaperone, CopZ, and two CPx-type copper ATPases, CopA and CopB. CopA and CopB accomplish copper uptake and export, respectively, and the expression of the cop operon is regulated by copper via the CopY repressor and the CopZ chaperone. The functions of the four Cop proteins have been extensively studied in vivo as well as in vitro and a detailed understanding of the regulation of the cop operon by copper has emerged.     

Copper ions influence the toxicity of β-amyloid(1–42) in a concentration-dependent manner in a <Emphasis Type="Italic">Caenorhabditis elegans</Emphasis> model of Alzheimer’s disease

β-amyloid (Aβ) and copper play important roles in the pathogenesis of Alzheimer’s disease (AD). However, the behavioral correlativity and molecular mechanisms of Aβ and copper toxicity have been investigated less often. In the present study, we investigated the interaction and toxicity of Aβ1–42 and copper in the Aβ1–42 transgenic Caenorhabditis elegans worm model CL2006. Our data show that the paralysis behavior of CL2006 worms significantly deteriorated after exposure to 10⁻³ mol L⁻¹ copper ions. However, the paralysis behavior was dramatically attenuated with exposure to 10⁻⁴ mol L⁻¹ copper ions. The exogenous copper treatment also partially changed the homeostatic balance of zinc, manganese, and iron. Our data suggest that the accumulation of reactive oxygen species (ROS) was responsible for the paralysis induced by Aβ and copper in CL2006. The ROS generation induced by Aβ and copper appear to be through sod-1, prdx-2, skn-1, hsp-60 and hsp-16.2 genes.     

A note on replication in (M,R)-systems

The condition which allows the existence of induced replication maps in (M,R)-systems is shown to place strong restrictions on the “richness” of the category from which these systems can be constructed. This condition also admits of a simple biological interpretation, which can be checked empirically, and which may offer insight into the physical and biological realizations of these abstract systems.     

Copper exposure and potential biomarkers of copper metabolism

Relevant biological effects associated with mild to moderate copper deficiency and copper excess are unknown. It is difficult to identify markers of these early changes because limits of the homeostatic range are still undefined and early changes may represent adaptive responses that do not imply necessarily risk of damage. We report here a series of studies carried out to shed light on the responses within the homeostatic range, by assessing classic parameters of copper status in humans at different copper exposure. In adult healthy volunteers that had an estimated daily intake of 0.9 mg Cu/day (approximately 15 g/kg/d), exposure to additional 50–60 g of copper/kg/day for three months or up to 150 g/kg/d for two months resulted in no significant changes of SOD activity in erythrocytes, of copper concentration (in serum, erythrocytes and mononuclear cells) and of serum ceruloplasmin (ANOVA). Neither were found differences by gender or age. As in previous studies in infants, the non-ceruloplasmin copper fraction was positively correlated to serum copper (r=0.58). Assessing variations on copper absorption, infants supplemented/not supplemented with oral copper (80 ug/kg/14 days), at age 1 and 3 months, showed copper absorption close to 80% at both ages; no effect was observed for age or supplementation, suggesting that either these concentrations do not elicit regulatory mechanisms or that at this age down regulation for copper absorption is not efficient. These studies indicate that in the range of the copper homeostasis area the markers tested are not suitable to detect mild changes (within the homeostatic range) of copper metabolism.     

Copper bioreduction and nanoparticle synthesis by an enrichment culture from a former copper mine

Microorganisms can facilitate the reduction of Cu²⁺, altering its speciation and mobility in environmental systems and producing Cu-based nanoparticles with useful catalytic properties. However, only a few model organisms have been studied in relation to Cu²⁺ bioreduction and little work has been carried out on microbes from Cu-contaminated environments. This study aimed to enrich for Cu-resistant microbes from a Cu-contaminated soil and explore their potential to facilitate Cu²⁺ reduction and biomineralisation from solution. We show that an enrichment grown in a Cu-amended medium, dominated by species closely related to Geothrix fermentans, Azospira restricta and Cellulomonas oligotrophica, can reduce Cu²⁺ with subsequent precipitation of Cu nanoparticles. Characterisation of the nanoparticles with (scanning) transmission electron microscopy, energy-dispersive x-ray spectroscopy and electron energy loss spectroscopy supports the presence of both metallic Cu(0) and S-rich Cu(I) nanoparticles. This study provides new insights into the diversity of microorganisms capable of facilitating copper reduction and highlights the potential for the formation of distinct nanoparticle phases resulting from bioreduction or biomineralisation reactions. The implications of these findings for the biogeochemical cycling of copper and the potential biotechnological synthesis of commercially useful copper nanoparticles are discussed.     

Killing of Bacteria by Copper Surfaces Involves Dissolved Copper

Bacteria are rapidly killed on copper surfaces. However, the mechanism of this process remains unclear. Using Enterococcus hirae, the effect of inactivation of copper homeostatic genes and of medium compositions on survival and copper dissolution was tested. The results support a role for dissolved copper ions in killing.The rapid killing of bacteria by solid copper surfaces is receiving rapidly growing attention. In laboratory experiments, it has been shown that many bacterial species, such as Escherichia coli O157, Staphylococcus aureus, Salmonella enterica, Campylobacter jejuni, Clostridium difficile, and Mycobacterium tuberculosis, are efficiently killed on copper or copper alloy surfaces (1, 3, 4, 6, 7, 12-14). In contrast, on stainless steel, living cells could be recovered even after 28 days. The antimicrobial activity of copper and copper alloys is now well established, and copper has recently been registered at the U.S. Environmental Protection Agency as the first solid antimicrobial material. A key focus is the use of copper in health care facilities, food processing plants, and other areas where clean or aseptic working procedures are required (2). In this connection, it has become important to understand the mechanism of bacterial killing, as it may bear on the possibility of the emergence of resistant organisms, cleaning procedures, and material and object engineering. We here used wild-type and mutant strains of Enterococcus hirae to investigate the influence of copper resistance genes on killing rates. We also evaluated copper dissolution by various media and its relation to killing efficiency. Our findings provide support for a prominent role for dissolved copper in the killing process.     

Statistical Identifiability and the Surrogate Endpoint Problem,with Application to Vaccine Trials

Summary Given a randomized treatment Z, a clinical outcome Y, and a biomarker S measured some fixed time after Z is administered, we may be interested in addressing the surrogate endpoint problem by evaluating whether S can be used to reliably predict the effect of Z on Y. Several recent proposals for the statistical evaluation of surrogate value have been based on the framework of principal stratification. In this article, we consider two principal stratification estimands: joint risks and marginal risks. Joint risks measure causal associations (CAs) of treatment effects on S and Y, providing insight into the surrogate value of the biomarker, but are not statistically identifiable from vaccine trial data. Although marginal risks do not measure CAs of treatment effects, they nevertheless provide guidance for future research, and we describe a data collection scheme and assumptions under which the marginal risks are statistically identifiable. We show how different sets of assumptions affect the identifiability of these estimands; in particular, we depart from previous work by considering the consequences of relaxing the assumption of no individual treatment effects on Y before S is measured. Based on algebraic relationships between joint and marginal risks, we propose a sensitivity analysis approach for assessment of surrogate value, and show that in many cases the surrogate value of a biomarker may be hard to establish, even when the sample size is large.     

Characterization of the CopR regulon of Lactococcus lactis IL1403

To identify components of the copper homeostatic mechanism of Lactococcus lactis, we employed two-dimensional gel electrophoresis to detect changes in the proteome in response to copper. Three proteins upregulated by copper were identified: glyoxylase I (YaiA), a nitroreductase (YtjD), and lactate oxidase (LctO). The promoter regions of these genes feature cop boxes of consensus TACAnnTGTA, which are the binding site of CopY-type copper-responsive repressors. A genome-wide search for cop boxes revealed 28 such sequence motifs. They were tested by electrophoretic mobility shift assays for the interaction with purified CopR, the CopY-type repressor of L. lactis. Seven of the cop boxes interacted with CopR in a copper-sensitive manner. They were present in the promoter region of five genes, lctO, ytjD, copB, ydiD, and yahC; and two polycistronic operons, yahCD-yaiAB and copRZA. Induction of these genes by copper was confirmed by real-time quantitative PCR. The copRZA operon encodes the CopR repressor of the regulon; a copper chaperone, CopZ; and a putative copper ATPase, CopA. When expressed in Escherichia coli, the copRZA operon conferred copper resistance, suggesting that it functions in copper export from the cytoplasm. Other member genes of the CopR regulon may similarly be involved in copper metabolism.     

Effects of copper supplement on growth and viability of strains used as starters and adjunct cultures for Emmental cheese manufacture

Aims: To determine the effects of supplemented copper (Cu²⁺) on growth and viability of strains used as starters and adjunct cultures for Emmental cheese manufacture. Methods and Results: Thirteen strains belonging to Lactobacillus delbrueckii, Lactobacillus helveticus, Lactobacillus rhamnosus, Streptococcus thermophilus or Propionibacterium freudenreichii species were exposed to various copper concentrations in the proper growth medium at relevant growth temperatures, and the effects of supplemented copper on bacterial growth and cell viability were determined by optical density and pH measurements, also by platings. Among the species considered, L. delbrueckii was the most copper resistant and S. thermophilus the most sensitive to copper. Anaerobic conditions increased this sensitivity significantly. There was also a considerable amount of variation in copper resistance at strain level. Conclusions: Copper resistance is both a species- and strain-dependent property and may reflect variability in copper-binding capacities by cell wall components among species and strains. In addition, the chemical state of copper may be involved. Significance and Impact of the Study: This study revealed that copper resistance is a highly variable property among starter and adjunct strains, and this variability should be considered when strains are selected for Emmental cheese manufacture.     

Proteomic insights into seed germination in response to environmental factors

Seed germination is a critical process in the life cycle of higher plants. During germination, the imbibed mature seed is highly sensitive to different environmental factors. However, knowledge about the molecular and physiological mechanisms underlying the environmental effects on germination has been lacking. Recent proteomic work has provided invaluable insight into the molecular processes in germinating seeds of Arabidopsis, rice (Oryza sativa), soybean (Glycine max), barley (Hordeum vulgare), maize (Zea mays), tea (Camellia sinensis), European beech (Fagus sylvatica), and Norway maple (Acer platanoides) under different treatments including metal ions (e.g. copper and cadmium), drought, low temperature, hormones, and chemicals (gibberellic acid, abscisic acid, salicylic acid, and α‐amanitin), as well as Fusarium graminearum infection. A total of 561 environmental factor‐responsive proteins have been identified with various expression patterns in germinating seeds. The data highlight diverse regulatory and metabolic mechanisms upon seed germination, including induction of environmental factor‐responsive signaling pathways, seed storage reserve mobilization and utilization, enhancement of DNA repair and modification, regulation of gene expression and protein synthesis, modulation of cell structure, and cell defense. In this review, we summarize the interesting findings and discuss the relevance and significance for our understanding of environmental regulation of seed germination.     

Environmental correlates of adaptive diversification in postglacial freshwater fishes

Determining how environmental conditions contribute to divergence among populations and drive speciation is fundamental to resolving mechanisms and understanding outcomes in evolutionary biology. Postglacial freshwater fish species in the Northern Hemisphere are ideal biological systems to explore the effects of environment on diversification in morphology, ecology, and genetics (ecomorph divergences) within lakes. To date, various environmental factors have been implicated in the presence of multiple ecomorphs within particular lakes or regions. However, concerted evidence for generalizable patterns in environmental variables associated with speciation across geographical regions and across species and genera has been lacking. Here, we aimed to identify key biotic and abiotic factors associated with ecological divergence of postglacial freshwater fish species into multiple sympatric ecomorphs, focusing on species in the well-studied, widespread, and co-distributed genera Gasterosteus, Salvelinus, and Coregonus (stickleback, charr, and whitefish, respectively). We found that the presence of multiple sympatric ecomorphs tended to be associated with increasing lake surface area, maximum depth, and nutrient availability. In addition, predation, competition, and prey availability were suggested to play a role in divergence into multiple ecomorphs, but the effects of biotic factors require further study. Although we identified several environmental factors correlated with the presence of multiple ecomorphs, there were substantial data gaps across species and regions. An improved understanding of these systems may provide insight into both generalizable environmental factors involved in speciation in other systems, and potential ecological and evolutionary responses of species complexes when these variables are altered by environmental change.     

Ecological Stability: Reality,Misconceptions, and Implications for Risk Assessment

Over a long time frame, an ecological system may not exhibit constancy due to successional and evolutionary changes in the species composing the system. However, over shorter time frames an ecological system exhibits a certain degree of constancy (i.e., varies within defined bounds). Traditionally, ecologists considered this short-term constancy to reflect a “balance of nature,” which was viewed akin to the simple homeostatic dynamics of physiological systems. This is an appealing perspective because the disruption of the system's “balance” (i.e., its ”health“) can be ascertained by comparing the system's current state after the imposition of a perturbation with the societally desired state (i.e., baseline). Recently, ecologists have started to develop a much more complex, and perhaps more realistic, perspective regarding ecosystem dynamics, which does not depend upon homeostasis with a single baseline state. This new view includes stochastic variation, nonlinear dynamics and alternative states, and poses a challenge for assessing environmental “health” and the risk of creating “unhealthy” ecological systems     

The evolutionarily conserved MOS4-associated complex

Recent work in plant immunity has shown that MOS4, a known intermediate in R protein mediated resistance, is a core member of the nuclear MOS4-associated complex (MAC). This complex is highly conserved in eukaryotes, as orthologous complexes known as the CDC5L-SNEV^Prp19-Pso4 complex and the Nineteen complex (NTC) were previously identified in human and yeast, respectively. The involvement of these complexes in pre-mRNA splicing and spliceosome assembly suggests that the MAC probably has a similar function in plants. Double mutants of any two MAC components are lethal, whereas single mutants of the MAC core components mos4, Atcdc5, mac3, and prl1 are all viable and display pleiotropic defects. This suggests that while the MAC is required for some essential biological function such as splicing, individual MAC components are not crucial for complex functionality and likely have regulatory roles in other biological processes such as plant immunity and flowering time control. Future studies on MAC components in Arabidopsis will provide further insight into the regulatory mechanisms of the MAC on specific biological processes.