On multiple zeta values of extremal height

We give three identities involving multiple zeta values of height one and of maximal height; an explicit formula for the height-one multiple zeta values, a regularized sum formula, and a sum formula for the multiple zeta values of maximal height.Comment: 8 page

Dimensional Reduction in Evolving Spin-Glass Model : Correlation of Phenotypic Responses to Environmental and Mutational Changes

The evolution of high-dimensional phenotypes is investigated using a statistical physics model consisting of interacting spins, in which phenotypes, genotypes, and environments are represented by spin configurations, interaction matrices, and external fields, respectively. We found that phenotypic changes upon diverse environmental change and genetic variation are highly correlated across all spins, consistent with recent experimental observations of biological systems. The dimension reduction in phenotypic changes is shown to be a result of the evolution of the robustness to thermal noise, achieved at the replica symmetric phase.UTokyo FOCUS Press releases "Limits on evolution revealed by statistical physics" https://www.u-tokyo.ac.jp/focus/en/press/z0508_00115.htm

Replica symmetry breaking in an adiabatic spin-glass model of adaptive evolution

We study evolutionary canalization using a spin-glass model with replica theory, where spins and their interactions are dynamic variables whose configurations correspond to phenotypes and genotypes, respectively. The spins are updated under temperature T_S, and the genotypes evolve under temperature T_J, according to the evolutionary fitness. It is found that adaptation occurs at T_S < T_S^{RS}, and a replica symmetric phase emerges at T_S^{RSB} < T_S < T_S^{RS}. The replica symmetric phase implies canalization, and replica symmetry breaking at lower temperatures indicates loss of robustness.Comment: 5pages, 2 figure

Simultaneous Improvements in Performance and Durability of an Octahedral PtNix/C Electrocatalyst for Next-Generation Fuel Cells by Continuous, Compressive, and Concave Pt Skin Layers

Simultaneous improvements in oxygen reduction reaction (ORR) activity and long-term durability of Pt-based cathode catalysts are indispensable for the development of next-generation polymer electrolyte fuel cells but are still a major dilemma. We present a robust octahedral core–shell PtNix/C electrocatalyst with high ORR performance (mass activity and surface specific activity 6.8–16.9 and 20.3–24.0 times larger than those of Pt/C, respectively) and durability (negligible loss after 10000 accelerated durability test (ADT) cycles). The key factors of the robust octahedral nanostructure (core–shell Pt73Ni27/C) responsible for the remarkable activity and durability were found to be three continuous Pt skin layers with 2.0–3.6% compressive strain, concave facet arrangements (concave defects and high coordination), a symmetric Pt/Ni distribution, and a Pt67Ni33 intermetallic core, as found by STEM-EDS, in situ XAFS, XPS, etc. The robust core–shell Pt73Ni27/C was produced by the partial release of the stress, Pt/Ni rearrangement, and dimension reduction of an as-synthesized octahedral Pt50Ni50/C with 3.6–6.7% compressive Pt skin layers by Ni leaching during the activation process. The present results on the tailored synthesis of the PtNix structure and composition and the better control of the robust catalytic architecture renew the current knowledge and viewpoint for instability of octahedral PtNix/C samples to provide a new insight into the development of next-generation PEFC cathode catalysts

Funnel landscape and mutational robustness as a result of evolution under thermal noise

In biological systems, expression dynamics to shape a fitted phenotype for function has evolved through mutations to genes, as observed in the evolution of funnel landscape in protein. We study this evolutionary process with a statistical-mechanical model of interacting spins, where the fitted phenotype is represented by a configuration of a given set of "target spins" and interaction matrix J among spins is genotype evolving over generations. The expression dynamics is given by stochastic process with temperature T_S to decrease energy for a given set of J. The evolution of J is also stochastic with temperature T_J, following mutation in J and selection based on a fitness given by configurations of the target spins. Below a certain temperature T_S^{c2}, the highly adapted J evolves, whereasanother phase transition characterised by frustration occurs at T_S^{c1}<T_S^{c2}. At temperature lower than T_S^{c1}, the Hamiltonian exhibits a spin-glass like phase, where the dynamics requires long time steps to produce the fitted phenotype, and the fitness often decreases drastically by single mutation. In contrast, in the intermediate temperature phase between T_S^{c1} and T_S^{c2}, the evolved genotypes, that have no frustration around the target spins (we call "local Mattis state"), give a funnel-like rapid expression dynamics and are robust to mutation. These results imply that evolution under thermal noise beyond a certain level leads to funnel dynamics and mutational robustness. We will explain its mechanism with the statistical-mechanical method.Comment: 4pages, 4figure

ナノ スケール ドウセキソウ マク ノ ネツショリ ニヨル ヒョウメン ケイジョウ ト ナイブ オウリョク ノ ヘンカ キョドウ

The specimen prepared in this study was multi-layer aluminum nitride and copper films deposited on thermal oxidation silicon by dc sputtering. Thermal stresses in the copper layers were investigated by ultra high X-rays of synchrotron radiation in the heating and cooling process. It found from the sin2Ψ diagrams of the multi-layered film that the copper layers consisted of crystal grains which had two different orientations. One was randomly orientation, and the other was {111} orientation. The FWHM of the diffraction from the {111}-oriented crystal grains was constant regardless of heating temperature. On the other hand, the FWHM of the diffraction from the randomly-oriented crystal grains was decreased with increasing heating temperature at 1st heating cycle and it became constant regardless of heating temperature after 1st heating cycle. The 2θ-sin2θ diagrams of the multi-layered film for the stress measurement showed non-linear. We could obtain thermal stresses in two different orientation crystal grains from the non-linear 2θ-sin2θ diagram at same time. For both crystal grains, the thermal stress differences between the 1st heating and the 1st cooling cycles were shown as a hysteresis loop. In the case of the 2nd thermal cycles, the thermal stresses changed linearly for both crystal grains. For the 1st heating cycle, the compressive thermal stress in the {111}-oriented crystal grains was larger than that in the randomly-oriented one

Environmental detection of eumycetoma pathogens using multiplex real-time PCR for soil DNA in Sennar State, Sudan

Background: Mycetoma is a chronic disease affecting the skin and subcutaneous tissue endemic in the tropical and subtropical regions. Several bacteria and fungi can cause mycetoma, but fungal mycetoma (eumycetoma) is challenging because the treatment requires a combination of a long-term antifungal agent and surgery. Although the transmission route has not yet been elucidated, infection from the soil is a leading hypothesis. However, there are few soil investigation studies, and the geographical distribution of mycetoma pathogens is not well documented. Here, we used multiplex real-time PCR technology to identify three fungal species from soil samples. Methods: In total, 64 DNA samples were extracted from soil collected in seven villages in an endemic area in Sennar State, Sudan, in 2019. Primers and fluorescent probes specifically targeting the ribosomal DNA of Madurella mycetomatis, Falciformispora senegalensis, and F. tompkinsii were designed. Results: Multiplex real-time PCR was performed and identified the major pathogen, M. mycetomatis that existed in most sites (95%). In addition, two other pathogens were identified from some sites. This is the first report on the use of this technique for identifying the eumycetoma causative microorganisms. Conclusions: This study demonstrated that soil DNA investigation can elucidate the risk area of mycetoma-causative agents. The results will contribute to the design of prevention measures, and further large-scale studies may be effective in understanding the natural habitats of mycetoma pathogens.</p