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Comparison of mdLVs Based Methods for Nonlinear Receding Horizon Control
Shunsuke Matoba,Hisakazu Nakamura,Hirokazu Nishitani 제어로봇시스템학회 2009 제어로봇시스템학회 국제학술대회 논문집 Vol.2009 No.8
Receding horizon (RH) control attracts much attention in both the control theory and control applications. For RH control, we have proposed a new computation method for solving simultaneous linear equations by using a Moore-Penrose pseudoinverse and a singular value decomposition (SVD). In our proposed method, SVD is achieved by mdLVs and newly developed simultaneous error correction (SEC) method. However, we did not compare our proposed method with I-SVD that also equips mdLVs. In this paper, we compare our proposed method mdLVs/SEC with I-SVD by theoretical analysis and numerical experiments, and we show SEC needs a much smaller computation cost than I-SVD. Finally, we elucidate advantages of SEC in nonlinear RH control in numerical experiments.
Fujibayashi Shunsuke,Takemoto Mitsuru,Ishii Ken,Funao Haruki,Isogai Norihiro,Otsuki Bungo,Shimizu Takayoshi,Nakamura Takashi,Matsuda Shuichi 대한척추외과학회 2022 Asian Spine Journal Vol.16 No.6
Study Design: Prospective multicenter clinical study.Purpose: To evaluate the efficacy of bioactive surface treatment for porous titanium spacers without bone graft for lateral lumbar interbody fusion (LLIF) through clinical and radiological examinations.Overview of Literature: LLIF is a minimally invasive spinal fusion procedure. To achieve bony union, a substantial volume of grafted bone is typically packed into the cage; however, this is related to donor site morbidities—one of the disadvantages of LLIF.Methods: For this prospective multicenter study, 40 patients were followed up through radiologic and clinical examinations for at least 1 year postoperatively. All surgical procedures were either single- or double-level LLIF using bioactive porous titanium spacers without bone grafts.Results: Four patients were excluded from the study owing to aggravation from other comorbidities. Another 36 patients, including 26 and 10 with single- and double-level LLIFs, respectively, participated in the follow-up. The mean age at the time of surgery was 63.7 years. The mean operating time was 50.5 minutes per level. The mean estimated intraoperative blood loss was 11.6 mL per level. Clinical scores improved in all cases and were maintained throughout the follow-up period. The intervertebral bony union rates were 67.4% and 84.8% at 6 and 12 months, respectively. Endplate cyst signs were observed in 13.0% and 8.7% of patients at 6 and 12 months, respectively. Fused segmental angles were maintained throughout the follow-up period, indicating no cage subsidence.Conclusions: Single- and double-level LLIFs using bioactive porous titanium spacers without bone grafts were found to be minimally invasive, resulting in clinical and imaging results comparable with conventional procedures. Therefore, this type of implant may be an option for minimally invasive spinal fusion surgery.
Fujibayashi Shunsuke,Takemoto Mitsuru,Nakamura Takashi,Matsushita Tomiharu,Kokubo Tadashi,Sasaki Kiyoyuki,Mori Shigeo,Matsuda Shuichi 대한척추외과학회 2021 Asian Spine Journal Vol.15 No.3
The purpose of this study was to introduce our patient-specific bioactive porous titanium implant manufactured using selective laser melting (SLM) and to establish the efficacy and safety of the implant for stand-alone anterior cervical discectomy and fusion (ACDF) based on a prospective clinical trial. We designed a customized ACDF implant using patient-specific data and manufactured the implant using SLM. We produced a bioactive surface through a specific chemical and thermal treatment. Using this implant, we surgically treated four patients with cervical degenerative disc disease and evaluated the clinical and radiological results. We achieved successful bony union in all but one patient without autologous bone grafting within 1 year. We observed no implant subsidence during the follow-up period, and all clinical parameters improved significantly after surgery, with no reported implant-related adverse effects. Our customized bioactive porous titanium implant is a safe and promising implant for stand-alone ACDF.
High School Mathematics Research Project Using Computer Algebra System Kwansei Gakuin High School
( Miyadera Ryohei ),( Inoue Taishi ),( Nakamura Shunsuke ) 한국수학교육학회 2011 수학교육 학술지 Vol.2011 No.-
In this article the authors present the method and the result of a high school project. A group of high school students and their teacher who was a mathematician did a research of mathematics, and they discovered many theorems and formulas using computer algebra system Mathematica. The themes were discrete mathematics and combinatorial game theory, and their results were presented at mathematics conferences and were published in many journals. The authors think that it is possible for high school students to present new mathematics discoveries, if they have a proper instruction and a good computer algebra system.