• Title/Summary/Keyword: Positive map

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THE GENERALIZED NORMAL STATE SPACE AND UNITAL NORMAL COMPLETELY POSITIVE MAP

  • Sa Ge Lee
    • Journal of the Korean Mathematical Society
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    • v.35 no.1
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    • pp.237-257
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    • 1998
  • By introducing the notion of a generalized normal state space, we give a necessary and sufficient condition for that there exists a unital normal completely map from a von Neumann algebra into another, in terms of their generalized normal state spaces.

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α-COMPLETELY POSITIVE MAPS ON LOCALLY C*-ALGEBRAS, KREIN MODULES AND RADON-NIKODÝM THEOREM

  • Heo, Jaeseong;Ji, Un Cig;Kim, Young Yi
    • Journal of the Korean Mathematical Society
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    • v.50 no.1
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    • pp.61-80
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    • 2013
  • In this paper, we study ${\alpha}$-completely positive maps between locally $C^*$-algebras. As a generalization of a completely positive map, an ${\alpha}$-completely positive map produces a Krein space with indefinite metric, which is useful for the study of massless or gauge fields. We construct a KSGNS type representation associated to an ${\alpha}$-completely positive map of a locally $C^*$-algebra on a Krein locally $C^*$-module. Using this construction, we establish the Radon-Nikod$\acute{y}$m type theorem for ${\alpha}$-completely positive maps on locally $C^*$-algebras. As an application, we study an extremal problem in the partially ordered cone of ${\alpha}$-completely positive maps on a locally $C^*$-algebra.

Whole-Blood Gene-Expression Profiles of Cows Infected with Mycobacterium avium subsp. paratuberculosis Reveal Changes in Immune Response and Lipid Metabolism

  • Shin, Min-Kyoung;Park, Hong-Tae;Shin, Seung Won;Jung, Myunghwan;Im, Young Bin;Park, Hyun-Eui;Cho, Yong-Il;Yoo, Han Sang
    • Journal of Microbiology and Biotechnology
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    • v.25 no.2
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    • pp.255-267
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    • 2015
  • Mycobacterium avium subsp. paratuberculosis (MAP) is the causative agent of Johne's disease, a chronic debilitating disease affecting ruminants worldwide. In the present study, we aimed to determine the major gene networks and pathways underlying the immune response to MAP infection using whole-blood cells, as well as provide the potential transcriptional markers for identifying the status of MAP infection. We analyzed the transcriptional profiles of whole-blood cells of cattle identified and grouped according to the presence of MAP-specific antibodies and the MAP shed by them. The grouping was based on the results obtained by ELISA and PCR analyses as follows: i) Test1 group: MAP-negative results obtained by ELISA and positive results obtained by PCR; ii) Test2 group: MAP-positive results obtained by ELISA and negative results obtained by PCR; iii) Test3 group: MAP-positive results obtained by ELISA and positive results obtained by PCR; iv) uninfected control: MAP-negative results obtained both by ELISA and PCR analysis. The results showed down-regulated production and metabolism of reactive oxygen species in the Test1 group, activation of pathways related to the host-defense response against MAP (LXR/RXR activation and complement system) in the Test2 and Test3 groups, and anti-inflammatory response (activation of IL-10 signaling pathway) only in the Test3 group. Our data indicate a balanced response that serves the immune-limiting mechanism while the host-defense responses are progressing.

On gardener's problem

  • Park, Dae-Yeon
    • Communications of the Korean Mathematical Society
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    • v.11 no.3
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    • pp.649-655
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    • 1996
  • A positive, disjoint linear map $\phi : A \to B$ of C^*$-algebras preserves absolute values if any *-anti-homomorphism $\psi : A \to B$ is skew-hermitian with respect to every commutators of unitary elements.

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A descriptive spatial analysis of bovine tuberculosis disease risk in 2015 in Gangwon-do, Republic of Korea

  • Kim, Eu-Tteum;Pak, Son-Il
    • Journal of Preventive Veterinary Medicine
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    • v.41 no.2
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    • pp.79-83
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    • 2017
  • In this study, we used a choropleth map to explore the spatial variation of the risk of cattle herds being bovine tuberculosis (BTB) positive in Gangwon-do in 2015. The map shows that the risk of being BTB-positive was lower in provinces located in the middle of Gangwon-do (Wonju, Youngwol, Peongchang, and Kangneung) than in other provinces. In addition, one province located in the north (Goseong) had a low risk of BTB. The estimate for the intercept of the spatial lag model was 0.66, and the spatial autocorrelation coefficient (lambda) was 0.20 (Table 1). The Moran's I was 0.33 with p-value of 0.02. In 2015, provinces located in the North West (Hwacheon) and East (Donghae) of Gangwon-do had a higher BTB risk. We identified some specific provinces at low BTB-positive risk, information that may prove useful for control of BTB in the study area.

Causal Map Analysis of Spatial Extension Mechanism and Informatization New Strategy (공간확장 메커니즘과 정보화 신전략에 관한 인과지도 분석)

  • Hwang, Sung-Hyun;Kim, Byung-Suk;Ha, Won-Gyu
    • Korean System Dynamics Review
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    • v.11 no.2
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    • pp.77-102
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    • 2010
  • This paper examines a mechanism of the Electronic Territory Expansion and the Information-oriented Society. Especially, a strategy for the territory development based on intelligence is suggested. The strategy is divided into a strategy for the domestic electronic territory and a plan for the global electronic territory. To examine the strategy and the plan, this paper is using the causal map analysis based on the System Thinking Approach. The causal map of the mechanism is characterized by a positive feedback loop. The paper has concluded that it is important to make the positive loops as a virtuous circle. It means that when a society dominates the advantageous position firstly in the field of intelligent and electronic territory, the competitiveness can grow in arithmetical progression.

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Cognitive map analysis of President Lee on the Policy of Green Growth (녹색성장에 관한 이명박 대통령의 인지지도 분석)

  • Kim, Dong-Hwan;Ahn, Ji-Young
    • Korean System Dynamics Review
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    • v.10 no.4
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    • pp.39-51
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    • 2009
  • In this paper, we constructed a cognitive map of President Lee of Korea on the policy vision of green growth. This cognitive map is characterized by a scarcity of feedback loops and a strong emphasis on the positive loops. These characteristics can be understood by the fact that the green growth policy is to overcome the limits to growth coming from negative feedback loops. As a conclusion, we proposed a negative feedback loop approach to the green growth policy vision, which might minimize the side effects of positive loops.

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A DEVANEY-CHAOTIC MAP WITH POSITIVE ENTROPY ON A SYMBOLIC SPACE

  • Ramesh, Shankar Bangalore;Vasu, Chetana Urva
    • Communications of the Korean Mathematical Society
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    • v.34 no.3
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    • pp.967-979
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    • 2019
  • Chaotic dynamical systems, preferably on a Cantor-like space with some arithmetic operations are considered as good pseudo-random number generators. There are many definitions of chaos, of which Devaney-chaos and pos itive topological entropy seem to be the strongest. Let $A=\{0,1,{\dots},p-1\}$. We define a continuous map on $A^{\mathbb{Z}}$ using addition with a carry, in combination with the shift map. We show that this map gives rise to a dynamical system with positive entropy, which is also Devaney-chaotic: i.e., it is transitive, sensitive and has a dense set of periodic points.

Risk factors for canine magnesium ammonium phosphate urolithiasis associated with bacterial infection

  • Uttamamul, Nahathai;Jitpean, Supranee;Lulitanond, Aroonlug;Wonglakorn, Lumyai;Sae-ung, Nattaya;Boonsiri, Patcharee;Daduang, Jureerut;Tavichakorntrakool, Ratree
    • Journal of Veterinary Science
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    • v.23 no.1
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    • pp.6.1-6.8
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    • 2022
  • Background: With limited information available, the association among urinary tract infections, urease-producing bacteria and the presence of magnesium ammonium phosphate (MAP) urolithiasis in canines in Thailand requires more study. Objectives: This study aimed to investigate the association between demographic characteristics of canines and the presence of MAP urolithiasis in canines, and to evaluate antimicrobial susceptibility patterns of bacteria isolated from canine uroliths. Methods: A total of 56 canines admitted for treatment with surgical removal of uroliths were recruited. Demographic characteristics and clinical chemistry data were recorded. Bacteria isolated from the removed uroliths were identified. Chemical compositions of the uroliths were analyzed by Fourier transform infrared spectrometer. Potential risk factors were determined with univariable and multivariable logistic regression analyses. Results: Of 56 canine urolithiasis, bacteria were isolated from uroliths of 38 canines (27 MAP and 11 non-MAP) but not from uroliths of 18 canines (5 MAP and 13 non-MAP). The most common bacteria found in nidus of MAP uroliths was Staphylococcus pseudintermedius (approximately 51%). An antimicrobial resistance was frequently found in Staphylococci isolates (42.86%). Multivariate logistic regression analysis showed that the predictors of MAP urolith in canine urolithiasis were being female (p = 0.044; adjusted odds ratio [OR], 10.22; 95% confidence interval [CI], 1.06-98.24) and the positive urolith culture (p = 0.012; adjusted OR, 8.60; 95% CI, 1.60-46.30). Conclusions: Our results indicate that S. pseudintermedius (a urease-producing bacterium) is the major causative bacteria of MAP uroliths. A positive urolith culture and being female are risk factors of MAP urolithiasis in canines.

Comparison of blood parameters according to fecal detection of Mycobacterium avium subspecies paratuberculosis in subclinically infected Holstein cattle

  • Seungmin Ha ;Seogjin Kang ;Mooyoung Jung ;Sang Bum Kim ;Han Gyu Lee ;Hong-Tae Park ;Jun Ho Lee ;Ki Choon Choi ;Jinho Park ;Ui-Hyung Kim;Han Sang Yoo
    • Journal of Veterinary Science
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    • v.24 no.5
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    • pp.70.1-70.14
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    • 2023
  • Background: Mycobacterium avium subspecies paratuberculosis (MAP) causes a chronic and progressive granulomatous enteritis and economic losses in dairy cattle in subclinical stages. Subclinical infection in cattle can be detected using serum MAP antibody enzyme-linked immunosorbent assay (ELISA) and fecal polymerase chain reaction (PCR) tests. Objectives: To investigate the differences in blood parameters, according to the detection of MAP using serum antibody ELISA and fecal PCR tests. Methods: We divided 33 subclinically infected adult cattle into three groups: seronegative and fecal-positive (SNFP, n = 5), seropositive and fecal-negative (SPFN, n = 10), and seropositive and fecal-positive (SPFP, n = 18). Hematological and serum biochemical analyses were performed. Results: Although the cows were clinically healthy without any manifestations, the SNFP and SPFP groups had higher platelet counts, mean platelet volumes, plateletcrit, lactate dehydrogenase levels, lactate levels, and calcium levels but lower mean corpuscular volume concentration than the SPFN group (p < 0.017). The red blood cell count, hematocrit, monocyte count, glucose level, and calprotectin level were different according to the detection method (p < 0.05). The SNFP and SPFP groups had higher red blood cell counts, hematocrit and calprotectin levels, but lower monocyte counts and glucose levels than the SPFN group, although there were no significant differences (p > 0.017). Conclusions: The cows with fecal-positive MAP status had different blood parameters from those with fecal-negative MAP status, although they were subclinically infected. These findings provide new insights into understanding the mechanism of MAP infection in subclinically infected cattle.