Random matrix analysis for gene interaction networks in cancer cells

Investigations of topological uniqueness of gene interaction networks in cancer cells are essential for understanding this disease. Based on the random matrix theory, we study the distribution of the nearest neighbor level spacings $P(s)$ of interaction matrices for gene networks in human cancer cells. The interaction matrices are computed using the Cancer Network Galaxy (TCNG) database, which is a repository of gene interactions inferred by a Bayesian network model. 256 NCBI GEO entries regarding gene expressions in human cancer cells have been selected for the Bayesian network calculations in TCNG. We observe the Wigner distribution of $P(s)$ when the gene networks are dense networks that have more than $\sim 38,000$ edges. In the opposite case, when the networks have smaller numbers of edges, the distribution $P(s)$ becomes the Poisson distribution. We investigate relevance of $P(s)$ both to the size of the networks and to edge frequencies that manifest reliance of the inferred gene interactions.Comment: 22 pages, 7 figure

Japan’s Contribution to Cool Earth

The purpose of the “Cool Earth 50 Plan” announced by the Japanese Government is to cut global greenhouse gas emissions to half the current level by 2050. This paper focuses on the following two points: (i) How compatibility between environmental protection and economic growth could be made, and (ii) How Japan should contribute to “Cool Earth” on a long-term basis. In regard to point (i), this paper makes clear the validity of energy conservation and technological innovation. One of the most important innovations is CCS (Carbon Dioxide Capture and Storage) / EOR (Enhanced Oil Recovery) technology. In regard to point (ii), this paper introduces two unique Japanese methods for cutting global greenhouse gases, those are the “Top Runner Program” and the “Sector by Sector Approach”. The former is effective in the residential, commercial, and transportation sectors, and the latter is valid in the industrial sectors.

Noncommutative Geometry, Strings and Duality

In this talk, based on work done in collaboration with G. Landi and R.J Szabo, I will review how string theory can be considered as a noncommutative geometry based on an algebra of vertex operators. The spectral triple of strings is introduced, and some of the string symmetries, notably target space duality, are discussed in this framework.Comment: Latex, 18 pages, Talk delivered at the Arbeitstagung: "The standard Model of Elementary particle Physics, Mathematical and Geometrical Aspects", Hesselberg, March 14-19 199

Dynamical Gauge Field induced by the Berry Phase Mechanism

Some part of the local gauge symmetries in the low energy region, say, lower than GUT or the Planck energy can be an induced symmetry describable with the holonomy fields associated with a topologically non-trivial structure of partially compactified space. In the case where a six dimensional space is compactified by the Kaluza-Klein mechanism into a product of the four dimensional Minkowski space $M_{4}$ and a two dimensional Riemann surface with the genus $g$, $\Sigma_{g}$, we show that, in a limit where the compactification mass scale is sent to infinity, a model lagrangian with a U(1) gauge symmetry produces the dynamical gauge fields in $M_{4}$ with a product of $g$ U(1)'s symmetry, i.e., U(1)$\times \cdots\times$U(1). These fields are induced by a Berry phase mechanism, not by the Kaluza-Klein. The dynamical degrees of freedom of the induced fields are shown to come from the holonomies, or the solenoid potentials, associated with the cycles of $\Sigma_{g}$. The production mechanism of kinetic energy terms for the induced fields are discussed in detail.Comment: 18 pages and 2 figures(available upon request), OU-HET 192, LaTeX fil

Measuring trade in value added with Firm-Level Data. NBB Working Paper No 378, November 2019

Global Value Chains have proliferated economic policy debates. Yet a key concept – trade in value added –is likely mismeasured because of sectoral aggregation bias stemming from reliance on inputoutput tables. This paper uses comprehensive firm-level data on both domestic and international transactions to study this bias. We find that sectoral aggregation leads to overstated trade in value added and, correspondingly, understated import content of gross exports. The economic magnitude of the estimated bias varies from moderate to large – at 2-5 p.p. of gross exports for Belgium and 17 p.p. for China. We study how the interplay between within-sector heterogeneities in firm import and export intensities and firm size determine the magnitude of the sectoral aggregation bias

Generation of uncertainty boundary for ARCASONDE 1A temperature sensor system Progress report

Computation of error bars for temperature profiles from thermistor type meteorological rocksond