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( Keonhee Lee ),( Myoungeun Choi ),( Chonghyun Won ),( Sungeun Chang ),( Miwoo Lee ),( Jeeho Choi ),( Woojin Lee ) 대한피부과학회 2019 대한피부과학회 학술발표대회집 Vol.71 No.1
Advances in medicine have led to the development of immunomodulatory drugs such as Anti-CTLA-4 agents and anti-PD-1/PD-L1 agents for treating patients with advanced-stage malignancies. Here, we describe a 53-year-old male patient with metastatic esophageal cancer, who was treated with nivolumab, an anti-PD-1 agent, and developed multiple subcutaneous nodules on his lower extremities which were diagnosed as septal panniculitis consistent with erythema nodosum on histopathologic examination. Interestingly, the subcutaneous lesions began to regress after biopsy and did not require any additional immunosuppressive therapy. Our case implies that dermatologic toxicities are diverse, and physicians should be vigilant regarding new side effects of immunomodulatory drugs, as recognizing such events will lead to early and proper management of patients.
LINEAR DIFFEOMORPHISMS WITH LIMIT SHADOWING
Lee, Keonhee,Lee, Manseob,Park, Junmi Chungcheong Mathematical Society 2013 충청수학회지 Vol.26 No.2
In this paper, we show that for a linear dynamical system $f(x)=Ax$ of $\mathbb{C}^n$, $f$ has the limit shadowing property if and only if the matrix A is hyperbolic.
On the set of expansive measures
Lee, Keonhee,Morales, C. A.,Shin, Bomi World Scientific Publishing Company 2018 Communications in contemporary mathematics Vol.20 No.7
<P>We prove that the set of expansive measures of a homeomorphism of a compact metric space is a <TEX>$ G_{\delta \sigma }$</TEX> subset of the space of Borel probability measures equipped with the weak* topology. Next that every expansive measure of a homeomorphism of a compact metric space can be weak* approximated by expansive measures with invariant support. In addition, if the expansive measures of a homeomorphism of a compact metric space are dense in the space of Borel probability measures, then there is an expansive measure whose support is both invariant and close to the whole space with respect to the Hausdorff metric. Henceforth, if the expansive measures are dense in the space of Borel probability measures, the set of heteroclinic points has no interior and the space has no isolated points.</P>
Various expansive measures for flows
Lee, Keonhee,Morales, C.A.,Nguyen, Ngoc-Thach Elsevier 2018 Journal of differential equations Vol.265 No.5
<P><B>Abstract</B></P> <P>We discuss a characterization of countably expansive flows in measure-theoretical terms as in the discrete case . More precisely, we define the <I>countably expansive flows</I> and prove that a homeomorphism of a compact metric space is countable expansive just when its suspension flow is. Moreover, we exhibit a measure-expansive flow (in the sense of ) which is not countably expansive. Next we define the weak expansive measures for flows and prove that a flow of a compact metric space is countable expansive if and only if it is <I>weak measure-expansive</I> (i.e. every orbit-vanishing measure is weak expansive). Furthermore, unlike the measure-expansive ones, the weak measure-expansive flows may exist on closed surfaces. Finally, it is shown that the integrated flow of a <SUP> C 1 </SUP> vector field on a compact smooth manifold is <SUP> C 1 </SUP> stably expansive if and only if it is <SUP> C 1 </SUP> stably weak measure-expansive.</P>
Structural stability of vector fields with shadowing
Lee, Keonhee,Sakai, Kazuhiro Elsevier 2007 Journal of differential equations Vol.232 No.1
<P><B>Abstract</B></P><P>Let <I>X</I> be a <SUP>C1</SUP> vector field without singularities. In this paper, we show that <I>X</I> is in the <SUP>C1</SUP> interior of the set of vector fields with the shadowing property if and only if <I>X</I> satisfies both Axiom A and the strong transversality condition; that is, <I>X</I> is structurally stable.</P>
CONTINUOUS SHADOWING AND INVERSE SHADOWING FOR FLOWS
Lee, Keonhee,Lee, Manseob,Lee, Zoonhee 충청수학회 2007 충청수학회지 Vol.20 No.3
The notions of continuous shadowing and inverse shadowing for flows are introduced, and show that an expansive flow on a compact manifold with the shadowing property has the continuous shadowing property. Moreover it is proved that the continuous shadowing property implies the inverse shadowing property.
TOPOLOGICAL STABILITY OF INVERSE SHADOWING SYSTEMS
Lee, Keonhee,Lee, Joonhee 충청수학회 2000 충청수학회지 Vol.13 No.1
The inverse shadowing property of a dynamical system is an "inverse" form of the shadowing property of the system. Recently, Kloeden and Ombach proved that if an expansive system on a compact manifold has the shadowing property then it has the inverse shadowing property. In this paper, we study topological stability of the inverse shadowing dynamical systems. In particular, we show that if an expansive system on a compact manifold has the inverse shadowing property then it is topologically stable, and so it has the shadowing property.