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Search Results: 1 - 10 of 759 matches for " Tatsuya Akasaka "
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An Integral PBW Basis of the Quantum Affine Algebra of Type A$_{2}^{(2)}$
Tatsuya Akasaka
Mathematics , 2001,
Abstract: We construct an integral PBW basis and an integral crystal basis of the quantum affine algebra of type A$_{2}^{(2)}$.
Finite-dimensional Representations of Quantum Affine Algebras
Tatsuya Akasaka,Masaki Kashiwara
Mathematics , 1997,
Abstract: We present a conjecture on the irreducibility of the tensor products of fundamental representations of quantized affine algebras. This conjecture implies in particular that the irreducibility of the tensor products of fundamental representations is completely described by the poles of the R-matrices. The conjecture is proved in certain cases.
Vaccination and Infection as Causative Factors in Japanese Patients With Rasmussen Syndrome: Molecular Mimicry and HLA Class I
Yukitoshi Takahashi,Kazumi Matsuda,Yuko Kubota,Jiro Shimomura,Etsuko Yamasaki,Tatsuya Kudo,Katsuyuki Fukushima,Hitoshi Osaka,Noriyuki Akasaka,Atsushi Imamura,Shinji Yamada,Naomi Kondo,Tateki Fujiwara
Clinical and Developmental Immunology , 2006, DOI: 10.1080/17402520600589522
Abstract: Rasmussen syndrome is an intractable epilepsy with a putative causal relation with cellular and humoral autoimmunity. Almost half of the patients have some preceding causative factors, with infections found in 38.2%, vaccinations in 5.9% and head trauma in 8.9% of Japanese patients. In a patient with seizure onset after influenza A infections, cross-reaction of the patient's lymphocytes with GluRε2 and influenza vaccine components was demonstrated by lymphocyte stimulation test. Database analyses revealed that influenza A virus hemagglutinin and GluRε2 molecules contain peptides with the patient's HLA class I binding motif (HLA ࢤ A*0201). The relative risks of HLA class I genotypes for Rasmussen syndrome are 6.1 (A*2402), 6.4 (A*0201), 6.3 (A*2601) and 11.4 (B*4601). The relative risks of HLA class I-A and B haplotypes are infinity (A*2601
An Integrating Algorithm and Theoretical Analysis for Fully Rheonomous Affine Constraints: Completely Integrable Case  [PDF]
Tatsuya Kai
Applied Mathematics (AM) , 2013, DOI: 10.4236/am.2013.412235
Abstract:

This paper develops an integrating algorithm for fully rheonomous affine constraints and gives theoretical analysis of the algorithm for the completely integrable case. First, some preliminaries on the fully rheonomous affine constraints are shown. Next, an integrating algorithm that calculates independent first integrals is derived. In addition, the existence of an inverse function utilized in the algorithm is investigated. Then, an example is shown in order to evaluate the effectiveness of the proposed method. By using the proposed integrating algorithm, we can easily calculate independent first integrals for given constraints, and hence it can be utilized for various research fields.

On Integrability of Fully Rheonomous Affine Constraints  [PDF]
Tatsuya Kai
International Journal of Modern Nonlinear Theory and Application (IJMNTA) , 2013, DOI: 10.4236/ijmnta.2013.22016
Abstract:

This paper presents a complete integrability condition for fully rheonomous affine constraints in terms of the rheonomous bracket. We first define fully rheonomous affine constraints and develop geometric representation for them. Next, the rheonomous bracket is explained and some properties of it are derived. We then investigate a necessary and sufficient condition on complete integrability for the fully rheonomous affine constraints based on the rheonomous bracket as an extension of Frobenius’ theorem. The effectiveness and the availability of the new results are also evaluated via an example.

Partial Integrability Conditions and an Integrating Algorithm for Fully Rheonomous Affine Constraints  [PDF]
Tatsuya Kai
Circuits and Systems (CS) , 2014, DOI: 10.4236/cs.2014.56015
Abstract:

In this paper, integrability conditions and an integrating algorithm of fully rheonomous affine constraints (FRACs) for the partially integrable case are studied. First, some preliminaries on the FRACs are illustrated. Next, necessary and sufficient conditions on the partially integrable case for the FRACs are derived. Then, an integrating algorithm to calculate independent first integrals of the FRACs for the partially integrable case is derived. Moreover, the existence of an inverse function utilized in the algorithm is proven. After that, an example is presented for evaluation of the effectiveness of the proposed method. As a result, it turns out that the proposed integrating algorithm can easily calculate independent first integrals for given partially integrable FRACs, and thus this new algorithm is expected to be applied to various research fields.

Circular Obstacle Avoidance Control of the Compass-Type Biped Robot Based on a Blending Method of Discrete Mechanics and Nonlinear Optimization  [PDF]
Tatsuya Kai
International Journal of Modern Nonlinear Theory and Application (IJMNTA) , 2015, DOI: 10.4236/ijmnta.2015.43013
Abstract: This paper considers an obstacle avoidance control problem for the compass-type biped robot, especially circular obstacles are dealt with. First, a sufficient condition such that the swing leg does not collide the circular obstacle is derived. Next, an optimal control problem for the discrete compass-type robot is formulated and a solving method of the problem by the sequential quadratic programming is presented in order to calculate a discrete control input. Then, a transformation method that converts a discrete control input into a continuous zero-order hold input via discrete Lagrange-d’ Alembert principle is explained. From the results of numerical simulations, it turns out that obstacle avoidance control for the continuous compass-type robot can be achieved by the proposed method.
A New Efficient Obstacle Avoidance Control Method for Cars Based on Big Data and Just-in-Time Modeling  [PDF]
Tatsuya Kai
Journal of Computer and Communications (JCC) , 2018, DOI: 10.4236/jcc.2018.611002
Abstract: This paper provides a new obstacle avoidance control method for cars based on big data and just-in-time modeling. Just-in-time modeling is a new kind of data-driven control technique in the age of big data and is used in various real systems. The main property of the proposed method is that a gain and a control time which are parameters in the control input to avoid an encountered obstacle are computed from a database which includes a lot of driving data in various situations. Especially, the important advantage of the method is small computation time, and hence it realizes real-time obstacle avoidance control for cars. From some numerical simulations, it is showed that the new control method can make the car avoid various obstacles efficiently in comparison with the previous method.
Atherogenic lipids profile relates to postprandial hyperglycemia and hyperinsulinemia due to whole body insulin resistance in prediabetic subjects  [PDF]
Yoshinori Miyazaki, Makoto Furugen, Hiroshi Akasaka, Shigeyuki Saitoh, Tetsuji Miura
Journal of Diabetes Mellitus (JDM) , 2012, DOI: 10.4236/jdm.2012.23044
Abstract: Backgrounds: Differences in serum lipids profiles in different type of glucose intolerance are unclear. Aims: To characterize lipid profiles in different type of glucose intolerance, and to assess relationships between serum lipids profile and disturbance of glucose metabolism in prediabetic subjects. Methods: Using the measurements in medical check-up with 75 goral glucose tolerance test (OGTT), total of 620 male subjects, who are not on medications for metabolic diseases or hypertension, were divided into normal fasting glucose and glucose tolerance (NFG/ NGT), isolated impaired fasting glucose (iIFG), isolated impaired glucose tolerance (iIGT) and combined IFG and IGT (IFG/IGT) based on results of the OGTT. Results: Age and body mass index (BMI) were similar in the four groups. Matsuda index (an index of whole body insulin sensitivity) was lower in iIFG, iIGT and IFG/IGT as compared with NFG/NGT. Plasma insulin excursion during the OGTT was significantly higher in IFG/IGT versus NFG/NGT. Serum triglyceride level (TG) and TG to HDL ratio (TG/HDL) were higher in IFG/IGT versus NFG/NGT. Matsuda index was positively correlated with HDL and was inversely correlated with TG, LDL, non-HDL, TG/ HDL and LDL to HDL ratio (LDL/HDL). Backward stepwise multiple regression analysis indicated that increases in BMI, plasma insulin level at 60 min (PI60) and plasma glucose level at 120 min in the OGTT were independently associated with increases in TG and TG/HDL. Increases in BMI and PI60 were related to an increase in non-HDL and LDL/HDL and a decrease in HDL. Conclusions: These results indicate that postprandial hyperglycemia and hyperinsulinemia based on advanced insulin resistance are closely related to lipid risk factors of atherosclerotic macrovascular disease in prediabetic subjects.
Efficacy of the structured life review and the short-term life review on the spiritual well-beingof terminally ill cancer patients  [PDF]
Michiyo Ando, Tatsuya Morita
Health (Health) , 2010, DOI: 10.4236/health.2010.24051
Abstract: GOALS: The aims of this study were to evaluate the treatment efficacy of the structured life review interviews and the Short-Term Life Review on the spiritual well-being of terminally ill cancer patients, in order to improve patients’ quality of life. SUBJECTS and METHODS: Participants were patients in palliative care units in Japan. In the study 1, the structured life review interviews were conducted with 12 patients. They completed the QOL scale of the SELT-M (Skalen zur Erfassung von Lebens qualitat bei Tumor- kranken–Modified Version) questionnaire before and after the interviews. In the study 2, the Short-Term Life Review was conducted with 30 patients. They reviewed their lives in the first session and they confirmed the contents in the album based on the life review in the second session. Duration of the treatment was one week. Measurement instruments included Func- tional Assessment Chronic Illness Therapy- Spiritual (FACIT-Sp). RESULTS: After the structured life review, the mean overall QOL score and Spirituality subscale score of the SELT-M significantly increased, from 2.57 ± 0.61 to 3.58 ± 1.0 (p=0.013) and 2.57 ± 0.61 to 3.14 ± 2.25 (P=0.023), respectively. After the Short-Term Life Review, the mean FACIT-Sp scores significantly increased from 16 ± 8.2 to 24 ± 7.1. CONCLUSION: Both the structured life review and the Short-Term Life Review may be effective in improving the spiritual well-being of terminally ill cancer patients, being higher feasibility for the Short-Term Life Review. We need to use these therapies understanding characteristics of each therapy.
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