Degeneration of the Julia set to singular loci of algebraic curves

We show that, when a non-integrable rational map changes to an integrable one continuously, a large part of the Julia set of the map approach indeterminate points (IDP) of the map along algebraic curves. We will see that the IDPs are singular loci of the curves.Comment: 12 pages, 5 figure

Hyper-elliptic Nambu flow associated with integrable maps

We study hyper-elliptic Nambu flows associated with some $n$ dimensional maps and show that discrete integrable systems can be reproduced as flows of this class.Comment: 13 page

Successful radical resection of a leiomyosarcoma of the pulmonary trunk

AbstractJ Thorac Cardiovasc Surg 2001;122:1039-4

不動点定理について

九州大学応用力学研究所研究集会報告 No.23AO-S7 「非線形波動研究の進展 : 現象と数理の相互作用」Report of RIAM Symposium No.23AO-S7 Progress in nonlinear wave : interaction between experimental and mathematical aspects「非可積分写像を特徴付けるJulia集合は可積分極限でどのように消滅するのか」という問題について、不動点定理という観点から考察する。特に、これまで調べられてこなかった周期点で、可積分極限では不定点に漸近するものについて考察する

Complex Analysis of a Piece of Toda Lattice

We study a small piece of two dimensional Toda lattice as a complex dynamical system. In particular the Julia set, which appears when the piece is deformed, is shown analytically how it disappears as the system approaches to the integrable limit.Comment: 17 pages, LaTe

<Study 2> Saccadic eye movements and regional cerebral blood flow in schizophrenic patients.

This study examined tracking eye movements on predetermined stationary targets inpatients with schizophrenia spectrum dis order.The targets were 8 black points or 8 arabics\u27 numbered points placed on the circumference of a circle.Self-paced eye movements during clockwise tracking of these points by 23 patients and 23 normal controls were recorded using an infrared eye-mark recorder.Eye movements were an alyzed at two settings : first, when "fixation point" was defined as a point at which a gaze was held for at least 200 msec, and second, when held for at least 100 msec.The results indicated that at the 200 msec setting schizophrenic patients track with significantly fewer correct scores and more deviant scores than controls under black-point conditions.At the 100-msec setting, however, the correct scores of the patients were not significantly different from those of the controls, although the patients displayed more aberrant paths than the controls.The superfluous fixations in the patients improved significantly under numbered-point conditions, but patients still achieved lower correct scores than the controls. Four of the 23 patients exhibited centering (aberrant path directed toward the center point), suggesting immature control of eye movements under black-point conditions but not numbered-point conditions.These results suggest that some schizophrenic patients viewed the targets too quickly and that they have impaired directed attention, which can be improved by cues, and may have impaired preprogramming of eye movements, which is not improved by external cues.This study examined saccadic eye movements using simple stationary targets, in schizophrenic patients.The targets were 8 black points or 8 arabic-numbered points placed in randomized order on the circumference of a circle.Self-paced eye movements during clockwise tracking of these points, by 23 patients and 23 controls, were recorded using an infrared eye-mark recorder.Then the relationship between the saccades and clinical syndromes was investigated. Finally, the relationship between the performance of the saccades and resting regional cerebral blood flow (rCBF) was examined using single photon emission computed tomography with 99mTc-hexamethyl propyleneamine oxime (HMPAO).The results indicate that patients track with significantly fewer correct scores and more deviant scores than controls, in agreement with our previous study.There were two groups of patients : an ordinary group who obtained a full target hitting score at a 200 ms setting and a fast group who obtained the full score at 100 ms but not at 200 ms.Some patients displayed significantly more hypermetria than controls.Significant correlations were found between alienation syndrome (auditory hallucination and disturbance of the self) and correct scores, or delusion syndrome and deviant score.With respect to relative rCBF, fast group patients showed significantly decreased rCBF in the left limbic and inferior parietal areas as compared with ordinary group patients.These findings suggest that some schizophrenic patients view the stationary targets too fast and this may be related to dysfunction in the limbic-parietal association area in the left hemisphere.富山医科薬科大学・博士(医学)・乙第283号・松井三枝・1995/6/28富山医科薬科大

A Symmetric Generalization of Linear B\"acklund Transformation associated with the Hirota Bilinear Difference Equation

The Hirota bilinear difference equation is generalized to discrete space of arbitrary dimension. Solutions to the nonlinear difference equations can be obtained via B\"acklund transformation of the corresponding linear problems.Comment: Latex, 12 pages, 1 figur

Appearance of fluid content in Rathke’s cleft cyst is associated with clinical features and postoperative recurrence rates

The version of record of this article, first published in Pituitary, is available online at Publisher’s website: https://doi.org/10.1007/s11102-024-01395-y.Purpose: The contents of Rathke’s cleft cysts (RCCs) vary from clear and slightly viscous to purulent. Surgical treatment of symptomatic RCCs involves removing the cyst contents, whereas additional cyst-wall opening to prevent reaccumulation is at the surgeon’s discretion. The macroscopic findings of the cyst content can reflect the nature of RCCs and would aid in surgical method selection. Methods: We retrospectively reviewed the records of 42 patients with symptomatic RCCs who underwent transsphenoidal surgery at our institute between January 2010 and March 2022. According to the intraoperative findings, cyst contents were classified into type A (purulent), type B (turbid white with mixed semisolids), or type C (clear and slightly viscous). Clinical and imaging findings and early recurrence rate (within two years) were compared according to the cyst content type. Results: There were 42 patients classified into three types. Patients with type C were the oldest (65.4 ± 10.4 years), and type A included more females (92.9%). For magnetic resonance imaging, type-A patients showed contrast-enhanced cyst wall (92.9%), type-B patients had intracystic nodules (57.1%), and all type-C patients showed low T1 and high T2 intensities with larger cyst volumes. Fewer asymptomatic patients had type C. Preoperative pituitary dysfunction was most common in type A (71.4%). Early recurrence was observed in types A and C, which were considered candidates for cyst-wall opening. Conclusion: The clinical characteristics and surgical prognosis of RCCs depend on the nature of their contents