We show that the minimal dilatation of pseudo-Anosov homeomorphisms of a closed oriented genus-two surface is equal to the largest root of x 4 − x 3 − x 2 − x + 1, which is approximately 1.72208.

Light is an essential environmental factor in the progression of plant growth and development but prolonged exposure to high levels of light stress can cause cellular damage and ultimately result in the death of the plant. Plants can respond defensively to this stress for a limited period and this involves changes to their gene expression profiles. Proteomic approaches were therefore applied to the study of the response to high light stress in the Arabidopsis thaliana plant species. Wild-type Arabidopsis was grown under normal light (100 micromol photons.m(-2).s(-1)) conditions and then subjected to high light (1000 micromol photons.m(-2).s(-1)) stress. Chloroplasts were then isolated from these plants and both soluble and insoluble proteins were extracted and subjected to two-dimensional (2-D) gel electrophoresis. The resolved proteins were subsequently identified by matrix assisted laser desorption/ionization-time of flight-mass spectrometry (MALDI-TOF-MS) and comparative database analysis. 64 protein spots, which were identified as candidate factors that responded to high light stress, were then selected for analysis and 52 of these were successfully identified using MALDI-TOF-MS analysis. 35 of the 52 identified proteins were found to decrease their expression levels during high light stress and a further 14 of the candidate proteins had upregulated expression levels under these conditions. Most of the proteins that were downregulated during high light stress are involved in photosynthesis pathways. However, many of the 14 upregulated proteins were identified as previously well-known high light stress-related proteins, such as heat shock proteins (HSPs), dehydroascorbate reductase (DHAR), and superoxide dismutase (SOD). Three novel proteins that were more highly expressed during periods of high light stress but had no clear functional relationship to these conditions, were also identified in this study.

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Reactive oxygen species (ROS) are key molecules regulating various cellular processes. However, what the cellular targets of ROS are and how their functions are regulated is unclear. This study explored the cellular proteomic changes in response to oxidative stress using H2O2 in dose- and recovery time-dependent ways. We found discernible changes in 76 proteins appearing as 103 spots on 2D-PAGE. Of these, Prxs, DJ-1, UCH-L3 and Rla0 are readily oxidized in response to mild H2O2 stress, and then degraded and active proteins are newly synthesized during recovery. In studies designed to understand the degradation process, multiple cellular modifications of redox-sensitive proteins were identified by peptide sequencing with nanoUPLC-ESI-q-TOF tandem mass spectrometry and the oxidative structural changes of Prx2 explored employing hydrogen/deuterium exchange-mass spectrometry (HDX-MS). We found that hydrogen/deuterium exchange rate increased in C-terminal region of oxidized Prx2, suggesting the exposure of this region to solvent under oxidation. We also found that Lys191 residue in this exposed C-terminal region of oxidized Prx2 is polyubiquitinated and the ubiquitinated Prx2 is readily degraded in proteasome and autophagy. These findings suggest that oxidation-induced ubiquitination and degradation can be a quality control mechanism of oxidized redox-sensitive proteins including Prxs and DJ-1.

Phytochrome-interacting proteins have been extensively studied to elucidate light-signaling pathway in plants. However, most of these proteins have been identified by yeast two-hybrid screening using the C-terminal domain of phytochromes. We used co-immunoprecipitation followed by proteomic analysis in plant cell extracts in an attempt to screen for proteins interacting either directly or indirectly with native holophytochromes including the N-terminal domain as well as C-terminal domain. A total of 16 protein candidates were identified, and were selected from 2-DE experiments. Using MALDI-TOF MS analysis, 7 of these candidates were predicted to be putative phytochrome A-interacting proteins and the remaining ones to be phytochrome B-interacting proteins. Among these putative interacting proteins, protein phosphatase type 2C (PP2C) and a 66-kDa protein were strong candidates as novel phytochrome-interacting proteins, as knockout mutants for the genes encoding these two proteins had impaired light-signaling functions. A transgenic knockout Arabidopsis study showed that a 66-kDa protein candidate regulates hypocotyl elongation in a light-specific manner, and altered cotyledon development under white light during early developmental stages. The PP2C knockout plants also displayed light-specific changes in hypocotyl elongation. These results suggest that co-immunoprecipitation, followed by proteomic analysis, is a useful method for identifying novel interacting proteins and determining real protein-protein interactions in the cell.