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      • On Linearization of Riccati Differential Equations through Variable Transformations

        Tsubasa Kittaka,Noriyuki Hori 제어로봇시스템학회 2008 제어로봇시스템학회 국제학술대회 논문집 Vol.2008 No.10

        Exact linearization of a Riccati differential equation, which has a stable equilibrium and an unstable one, is considered using variable transformations. Of particular interests are what happens to equilibrium points of the nonlinear equation when it is linearized and how these points are related to linearizing transformation. The variable transformation is of fractional type and contains four parameters. It is shown that when two parameters are chosen taking the unstable equilibrium into account, the resulting linearized system is stable, while when they are chosen using the stable equilibrium, the linearized system is unstable. Furthermore, when all four parameters are chosen taking both stable and unstable equilibriums into account, the linearized system can be made arbitrarily stable with a simple modification to the transformation.

      • Insect’s intestinal organ for symbiont sorting

        Ohbayashi, Tsubasa,Takeshita, Kazutaka,Kitagawa, Wataru,Nikoh, Naruo,Koga, Ryuichi,Meng, Xian-Ying,Tago, Kanako,Hori, Tomoyuki,Hayatsu, Masahito,Asano, Kozo,Kamagata, Yoichi,Lee, Bok Luel,Fukatsu, Tak National Academy of Sciences 2015 PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF Vol.112 No.37

        <P><B>Significance</B></P><P>In general, animals have a mouth for feeding, an anus for defecation, and a gut connecting them for digestion and absorption. However, we discovered that the stinkbug’s gut is functionally disconnected in the middle by a previously unrecognized organ for symbiont sorting, which blocks food fluid and nonsymbiotic bacteria but selectively allows passing of a specific bacterial symbiont. Though very tiny and inconspicuous, the organ governs the configuration and specificity of stinkbug gut symbiosis, wherein the posterior gut region is devoid of food flow, populated by a specific bacterial symbiont, and transformed into an isolated organ for symbiosis. Mutant analyses showed that the symbiont’s flagellar motility is needed for passing the host organ, highlighting intricate host–symbiont interactions underpinning the symbiont sorting process.</P><P>Symbiosis has significantly contributed to organismal adaptation and diversification. For establishment and maintenance of such host–symbiont associations, host organisms must have evolved mechanisms for selective incorporation, accommodation, and maintenance of their specific microbial partners. Here we report the discovery of a previously unrecognized type of animal organ for symbiont sorting. In the bean bug <I>Riptortus pedestris</I>, the posterior midgut is morphologically differentiated for harboring specific symbiotic bacteria of a beneficial nature. The sorting organ lies in the middle of the intestine as a constricted region, which partitions the midgut into an anterior nonsymbiotic region and a posterior symbiotic region. Oral administration of GFP-labeled <I>Burkholderia</I> symbionts to nymphal stinkbugs showed that the symbionts pass through the constricted region and colonize the posterior midgut. However, administration of food colorings revealed that food fluid enters neither the constricted region nor the posterior midgut, indicating selective symbiont passage at the constricted region and functional isolation of the posterior midgut for symbiosis. Coadministration of the GFP-labeled symbiont and red fluorescent protein-labeled <I>Escherichia coli</I> unveiled selective passage of the symbiont and blockage of <I>E. coli</I> at the constricted region, demonstrating the organ’s ability to discriminate the specific bacterial symbiont from nonsymbiotic bacteria. Transposon mutagenesis and screening revealed that symbiont mutants in flagella-related genes fail to pass through the constricted region, highlighting that both host’s control and symbiont’s motility are involved in the sorting process. The blocking of food flow at the constricted region is conserved among diverse stinkbug groups, suggesting the evolutionary origin of the intestinal organ in their common ancestor.</P>

      • Study on Quantitative Evaluation Methods of Therapeutic Effects of Sanding Training

        Yoshifumi Morita,Ryota Tanioku,Tsubasa Horie,Masaki Uchida,Hiroyuki Ukai,Nobuyuki Matsui 제어로봇시스템학회 2008 제어로봇시스템학회 국제학술대회 논문집 Vol.2008 No.10

        In the future the final aims of our research are to quantitatively evaluate the therapeutic effect of upper limb motion during the training and to develop a new rehabilitation training support robot with the evaluation function. This paper presents new evaluation methods of therapeutic effect of a sanding training. The sanding training is one type of resistance training for upper limbs. Three methods to evaluate achievement level of sanding training, cooperative movement of healthy and disabled arms, and cooperative movement of forearm and upper arm are proposed. The validities of the proposed evaluation methods are examined using the measurement data of patients with hemiplegia. Moreover, the relationships between the evaluation results and the Brunnstrom Stage of the patients are examined.

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