Instability in Evolutionary Games

Background

Phenomena of instability are widely observed in many dissimilar systems, with punctuated equilibrium in biological evolution and economic crises being noticeable examples. Recent studies suggested that such instabilities, quantified by the abrupt changes of the composition of individuals, could result within the framework of a collection of individuals interacting through the prisoner''s dilemma and incorporating three mechanisms: (i) imitation and mutation, (ii) preferred selection on successful individuals, and (iii) networking effects.

Methodology/Principal Findings

We study the importance of each mechanism using simplified models. The models are studied numerically and analytically via rate equations and mean-field approximation. It is shown that imitation and mutation alone can lead to the instability on the number of cooperators, and preferred selection modifies the instability in an asymmetric way. The co-evolution of network topology and game dynamics is not necessary to the occurrence of instability and the network topology is found to have almost no impact on instability if new links are added in a global manner. The results are valid in both the contexts of the snowdrift game and prisoner''s dilemma.

Conclusions/Significance

The imitation and mutation mechanism, which gives a heterogeneous rate of change in the system''s composition, is the dominating reason of the instability on the number of cooperators. The effects of payoffs and network topology are relatively insignificant. Our work refines the understanding on the driving forces of system instability.     

Effects of Dietary Iron Levels on Growth Performance,Hematological Status,Liver Mineral Concentration,Fecal Microflora,and Diarrhea Incidence in Weanling Pigs

An experiment was conducted in weanling pigs (Landrace × Yorkshire × Duroc) to evaluate the effects of dietary iron levels on growth performance, hematological status, liver mineral concentration, fecal microflora, and diarrhea incidence. One hundred and forty-four piglets (initial BW 5.96 ± 0.93kg) were randomly allotted to one of the four dietary treatments on the basis of their body weights. The basal diets for each phase (phase 1: days0 to 14; phase 2: days15 to 28) were formulated to contain minimal Fe and then supplemented with gradient levels of Fe (0, 50, 100, and 250mg/kg) from ferrous sulfate. Feces were collected on days14 and 28 and used for the analysis of microbial count and trace minerals. Eight piglets from each treatment (two piglets per pen) were bled at 0, 7, 14, 21, and 28days to determine their hematological and plasma Fe status. In addition, two piglets from each pen (eight piglets per treatment) were killed at days14 and 28 to determine liver mineral concentrations. Pigs fed supplemental 250ppm Fe showed lowest overall average daily gain (linear, p = 0.036). Diarrhea incidence was linearly increased (p < 0.001) with supplemental Fe level. On days14, coliform population in normal feces was increased (p = 0.036) linearly with supplemental Fe level, and there were higher (p = 0.043) coliform population and lower (p < 0.001) Bifidobacterium spp. in the diarrhea feces. Supplemental Fe linearly (p < 0.05) improved the total red blood cells, hemoglobin, plasma, and liver (p = 0.109) Fe status of pigs and also increased (linear and quadratic, p < 0.001) the fecal excretion of Fe on days14 and 28. It is concluded that increasing the dietary iron levels in piglets improved their hematological status and liver Fe content; however, higher dietary Fe levels might also be associated with the increased diarrhea incidence.     

Obtaining transgenic Solanum tuberosum potato plants with active bacterial genes xyl and T-cyt effecting the phytohormone balance]

The genetic constructions based on integrative vector pGV3850 were used to introduce bacterial genes xyl and T-cyt into potato cells. The transformation was carried out using the leaf-disc method with modifications. A special system for obtaining regenerants from explants of potato in vitro plants or calli has been designed that permitted the selection of transgenic shoots. The presence of the genes in potato genome has been proved by testing the NPTII and glucoisomerase activities. The transgenic plants expressing T-cyt gene differed from the wild type in sharp decrease of the apical dominance.     

The Rapidly Evolving Centromere-Specific Histone Has Stringent Functional Requirements in Arabidopsis thaliana

Centromeres control chromosome inheritance in eukaryotes, yet their DNA structure and primary sequence are hypervariable. Most animals and plants have megabases of tandem repeats at their centromeres, unlike yeast with unique centromere sequences. Centromere function requires the centromere-specific histone CENH3 (CENP-A in human), which replaces histone H3 in centromeric nucleosomes. CENH3 evolves rapidly, particularly in its N-terminal tail domain. A portion of the CENH3 histone-fold domain, the CENP-A targeting domain (CATD), has been previously shown to confer kinetochore localization and centromere function when swapped into human H3. Furthermore, CENP-A in human cells can be functionally replaced by CENH3 from distantly related organisms including Saccharomyces cerevisiae. We have used cenh3-1 (a null mutant in Arabidopsis thaliana) to replace endogenous CENH3 with GFP-tagged variants. A H3.3 tail domain–CENH3 histone-fold domain chimera rescued viability of cenh3-1, but CENH3''s lacking a tail domain were nonfunctional. In contrast to human results, H3 containing the A. thaliana CATD cannot complement cenh3-1. GFP–CENH3 from the sister species A. arenosa functionally replaces A. thaliana CENH3. GFP–CENH3 from the close relative Brassica rapa was targeted to centromeres, but did not complement cenh3-1, indicating that kinetochore localization and centromere function can be uncoupled. We conclude that CENH3 function in A. thaliana, an organism with large tandem repeat centromeres, has stringent requirements for functional complementation in mitosis.CENTROMERES are essential for chromosome inheritance, because they nucleate kinetochores, the protein complexes on eukaryotic chromosomes that attach to spindle microtubules. Despite the essential requirement for centromeres in chromosome segregation, their DNA sequences and the sequences of kinetochore proteins are highly variable. Kinetochores in Saccharomyces cerevisiae and related budding yeasts assemble on small, unique centromere DNAs (125 bp in S. cerevisiae) (Meraldi et al. 2006). Centromere DNAs in the fission yeast Schizosaccharomyces pombe are larger, consisting of a central core sequence of 4–5 kb, which binds kinetochore proteins, flanked by large inverted repeats whose heterochromatic nature is important for centromere function (the total size of the S. pombe centromere DNA is 35–110 kb). At the other extreme from small yeast centromeres are holocentric organisms, such as Caenorhabditis elegans, in which kinetochore proteins bind along the entire length of mitotic chromosomes (Dernburg 2001). Most plants and animals have extremely large centromere DNA tracts consisting of megabases of simple tandem repeats. The repeat sequence evolves extremely rapidly, and only a small fraction of the repeat array is likely to be bound by kinetochore proteins. Furthermore, kinetochores can be nucleated by noncentromeric DNA sequences in plant and animal cells (Amor and Choo 2002; Nagaki et al. 2004; Nasuda et al. 2005; Heun et al. 2006; Wade et al. 2009). Despite these findings, the maintenance of massive centromere repeat arrays in both animal and plant taxa suggests that repeats are a central feature of centromere biology in these organisms.Although centromere DNAs are extremely diverse, all eukaryote kinetochores contain the centromere-specific histone H3 variant CENH3 (originally described as CENP-A in human) (Henikoff and Dalal 2005; Black and Bassett 2008). CENH3 replaces conventional H3 specifically in a subset of centromere nucleosomes. It is essential for kinetochore function in all eukaryotes where this requirement has been tested. Conventional histones are among the most conserved proteins in eukaryote genomes. In contrast, CENH3 is rapidly evolving. The C-terminal histone-fold domain, which complexes with other histones to form the globular nucleosome core, can be aligned with conventional H3''s but evolves rapidly and shows signatures of adaptive evolution in some residues (Malik and Henikoff 2001; Talbert et al. 2002; Cooper and Henikoff 2004). The N-terminal tail domain of conventional histone H3 protrudes from the nucleosome core and is not resolved in the structure solved by X-ray crystallography (Luger et al. 1997). In CENH3, the tail domain evolves so rapidly that its sequence can barely be aligned between closely related species.Experiments in yeast and in animals have delineated functionally important regions within CENH3. S. cerevisiae kinetochores contain only a single CENH3/Cse4p nucleosome (Furuyama and Biggins 2007). In S. cerevisiae Cse4p, amino acid residues required for normal function are distributed throughout the histone-fold domain (Keith et al. 1999). The N-terminal tail of Cse4p contains an essential region termed the END domain, but overexpression of a Cse4p lacking the tail altogether can rescue a cse4 deletion mutant (Chen et al. 2000; Morey et al. 2004). In Drosophila melanogaster cells, CENH3/Cid from the distantly related D. bipectinata did not localize to kinetochores unless a specific region of the histone-fold domain, loop 1, was swapped with the corresponding region from D. melanogaster CENH3/Cid (Vermaak et al. 2002). In human, the histone-fold domain is important for centromere targeting (Sullivan et al. 1994). The functionally important region within the histone-fold domain was further defined by inserting loop 1 and the α-2 helix from CENH3/CENP-A (termed the CENP-A targeting domain, or CATD) into conventional H3 (Black et al. 2004). H3 containing the CATD acquires several functions of CENP-A when expressed in human cells. It localizes to kinetochores, binds the kinetochore protein CENP-N, has a rigid secondary structure when assembled into nucleosomes, and can restore normal chromosome segregation in cells depleted for CENP-A using RNA interference (RNAi) (Black et al. 2004, 2007a,b; Carroll et al. 2009).Despite these extensive studies, questions about structure–function relationships within CENH3 remain. CENH3 function may differ between small yeast centromeres and the large tandem repeat centromeres of animals and plants, particularly because larger centromere DNAs are likely to contain many more CENH3 nucleosomes and may require a higher level of organization. Experiments in D. melanogaster and in human cells have used RNAi to downregulate the endogenous protein, and a conditional knockout has been made in chicken DT-40 cells (Blower and Karpen 2001; Goshima et al. 2003; Regnier et al. 2005; Black et al. 2007b). These experiments are challenging because CENH3 is very stable. If preexisting CENH3 is partitioned equally between duplicated sister centromeres, its amount will be approximately halved at each cell division. Therefore the protein may persist for many cell divisions after induction of RNAi, as shown by Western blots indicating that ∼10% of endogenous CENH3 remains in human cells subjected to two rounds of RNAi (Black et al. 2007b).We have chosen to study CENH3 in the model plant A. thaliana, which combines facile genetics and transgenesis with centromere DNA structure that is similar to most plants and animals (megabases of tandem repeats with a repeating unit of 178 bp) (Murata et al. 1994; Copenhaver et al. 1999). Although Drosophila and mouse CENH3 knockout mutants have been characterized (Howman et al. 2000; Blower et al. 2006), a large-scale structure–function analysis of CENH3 has not been attempted in these organisms. A cenh3 null mutant in A. thaliana allows us to completely replace the endogenous protein with transgenic variants (Ravi and Chan 2010). Here we report four major conclusions regarding CENH3 function in A. thaliana: (1) CENH3 function requires an N-terminal histone tail domain, although either the CENH3 tail or the H3 tail can support mitotic chromosome segregation. (2) Inserting the CENP-A targeting domain of CENH3 into H3 does not confer CENH3 function. (3) Complementation of cenh3 by heterologous CENH3 requires that the species of origin be closely related to A. thaliana. (4) Localization of a heterologous CENH3 protein to kinetochores in the presence of native CENH3 does not necessarily indicate that it can complement a cenh3 mutant. Overall, our results indicate that requirements for CENH3 function in A. thaliana are more stringent that those obtained in human cells. They underscore the usefulness of comparative studies of centromere function using genetically tractable experimental organisms.     

Advantages of q-PCR as a method of screening for gene targeting in mammalian cells using conventional and whole BAC-based constructs

We evaluate here the use of real-time quantitative PCR (q-PCR) as a method for screening for homologous recombinants generated in mammalian cells from either conventional gene-targeting constructs or whole BAC-based constructs. Using gene-targeted events at different loci, we show that q-PCR is a highly sensitive and accurate method for screening for conventional gene targeting that can reduce the number of clones requiring follow-up screening by Southern blotting. We further compared q-PCR to fluorescent in situ hybridization (FISH) for the detection of gene-targeting events using full-length BAC-based constructs designed to introduce mutations either into one gene or simultaneously into two adjacent genes. We find that although BAC-based constructs appeared to have high rates of homologous recombination when evaluated by FISH, screening by FISH was prone to false positives that were detected by q-PCR. Our results demonstrate the utility of q-PCR as a screening tool for gene targeting and further highlight potential problems with the use of whole BAC-based constructs for homologous recombination.     

A Genetically Encoded Reporter for Real-Time Imaging of Cofilin-Actin Rods in Living Neurons

Filament bundles (rods) of cofilin and actin (1:1) form in neurites of stressed neurons where they inhibit synaptic function. Live-cell imaging of rod formation is hampered by the fact that overexpression of a chimera of wild type cofilin with a fluorescent protein causes formation of spontaneous and persistent rods, which is exacerbated by the photostress of imaging. The study of rod induction in living cells calls for a rod reporter that does not cause spontaneous rods. From a study in which single cofilin surface residues were mutated, we identified a mutant, cofilinR21Q, which when fused with monomeric Red Fluorescent Protein (mRFP) and expressed several fold above endogenous cofilin, does not induce spontaneous rods even during the photostress of imaging. CofilinR21Q-mRFP only incorporates into rods when they form from endogenous proteins in stressed cells. In neurons, cofilinR21Q-mRFP reports on rods formed from endogenous cofilin and induced by all modes tested thus far. Rods have a half-life of 30–60 min upon removal of the inducer. Vesicle transport in neurites is arrested upon treatments that form rods and recovers as rods disappear. CofilinR21Q-mRFP is a genetically encoded rod reporter that is useful in live cell imaging studies of induced rod formation, including rod dynamics, and kinetics of rod elimination.     

Clonorchis sinensis excretory–secretory products regulate migration and invasion in cholangiocarcinoma cells via extracellular signal-regulated kinase 1/2/nuclear factor-κB-dependent matrix metalloproteinase-9 expression

Matrix metalloproteinase-9 plays an important role in the invasion and metastasis of various types of cancer cells. We have previously reported that excretory–secretory products from Clonorchis sinensis increases matrix metalloproteinase-9 expression. However, the regulatory mechanisms through which matrix metalloproteinase-9 expression affects cholangiocarcinoma development remain unclear. In the current study, we examined the potential role of excretory–secretory products in regulating the migration and invasion of various cholangiocarcinoma cell lines. We demonstrated that excretory–secretory products significantly induced matrix metalloproteinase-9 expression and activity in a concentration-dependent manner. Reporter gene and chromatin immunoprecipitation assays showed that excretory–secretory products induced matrix metalloproteinase-9 expression by enhancing the activity of nuclear factor-kappa B. Moreover, excretory–secretory products induced the degradation and phosphorylation of IκBα and stimulated nuclear factor-kappa B p65 nuclear translocation, which was regulated by extracellular signal-regulated kinase 1/2. Taken together, our findings indicated that the excretory–secretory product-dependent enhancement of matrix metalloproteinase-9 activity and subsequent induction of IκBα and nuclear factor-kappa B activities may contribute to the progression of cholangiocarcinoma.     

Antioxidative effect of CLA diet and endurance training in liver and skeletal muscles of rat

The purpose of this study is to investigate the effects of conjugated linoleic acid (CLA) supplementation and endurance exercise on the oxidative/anti-oxidative status in rat liver and skeletal muscles. Sprague-Dawley male rats were randomly divided into HS (high-fat diet sedentary group, n = 8), CS group (CLA supplemented sedentary group, n = 8), and CE group (CLA supplemented exercise group, n = 8). For CLA supplementation, 1.0% CLA was substituted for dietary fat. For endurance exercise, the rats swam for 60 min a day, 5 days a week for 8 weeks. The MDA content, Cu, Zn-SOD and Mn-SOD expression in the soleus muscle (SOM) of the CE group improved significantly compared to the HS (p < 0.01) and CS groups (p < 0.05). Moreover, Mn-SOD expression in both the SOM and extensor digitorum longus muscle (EDL) of the CS were enhanced significantly compared to the HS (p < 0.05). From these results, it was suggested that CLA supplementation under the endurance exercise condition may improve the oxidative status by decreasing the MDA content via potential scavenging of Cu,Zn-SOD, and Mn-SOD protein in red muscle, respectively. Therefore, our study demonstrated long-term endurance exercise with CLA supplementation plays a crucial role for maintenance of antioxidative properties in the skeletal muscle of rat.