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Insufficiency fracture after radiation therapy
오동렬,허승재 대한방사선종양학회 2014 Radiation Oncology Journal Vol.32 No.4
Insufficiency fracture occurs when normal or physiological stress applied to weakened bone with demineralization and decreased elastic resistance. Recently, many studies reported the development of IF after radiation therapy (RT) in gynecological cancer, prostate cancer, anal cancer and rectal cancer. The RT-induced insufficiency fracture is a common complication during the follow-up using modern imaging studies. The clinical suspicion and knowledge the characteristic imaging patterns of insufficiency fracture is essential to differentiate it from metastatic bone lesions, because it sometimes cause severe pain, and it may be confused with bone metastasis.
Factorization properties on the composite Hurwitz rings
오동렬 강원경기수학회 2024 한국수학논문집 Vol.32 No.1
Let $A \subseteq B$ be an extension of integral domains with characteristic zero. Let $H(A,B)$ and $h(A,B)$ be rings of composite Hurwitz series and composite Hurwitz polynomials, respectively. We simply call $H(A,B)$ and $h(A,B)$ composite Hurwitz rings of $A$ and $B$. In this paper, we study when $H(A,B)$ and $h(A,B)$ are unique factorization domains (resp., GCD-domains, finite factorization domains, bounded factorization domains).
Poset metrics admitting association schemes and a new proof of MacWilliams identity
오동렬 대한수학회 2013 대한수학회지 Vol.50 No.5
It is known that being hierarchical is a necessary and sufficient condition for a poset to admit MacWilliams identity. In this paper, we completely characterize the structures of posets which have an association scheme structure whose relations are indexed by the poset distance between the points in the space. We also derive an explicit formula for the eigenmatrices of association schemes induced by such posets. By using the result of Delsarte which generalizes the MacWilliams identity for linear codes, we give a new proof of the MacWilliams identity for hierarchical linear poset codes.
오동렬,신성욱,박희철,조성기,임도훈,백승운 대한암학회 2015 Cancer Research and Treatment Vol.47 No.2
Purpose In this study, we retrospectively investigated the prevalence of arterioportal (AP) shunts inhepatocellular carcinoma (HCC) patients with portal vein tumor thrombosis (PVTT) andevaluated the changes in AP shunts after chemoembolization followed by external beamradiation therapy (EBRT). Materials and MethodsWe analyzed 54 HCC patients with PVTT who were treated with chemoembolization followedby EBRT. EBRT was uniformly delivered at a total dose of 30 to 45 Gy (median, 35 Gy), witha daily dose of 2 to 4.5 Gy. Angiographic images of chemoembolization before and afterradiation therapy (RT) were reviewed to investigate the AP shunt. ResultsDuring the initial session of chemoembolization, 33 of 54 patients (61%) had an AP shunt. After EBRT, 32 out of 33 patients had an additional session of chemoembolization and wereevaluated for a change in the AP shunt. The AP shunt decreased in 20 of 32 patients (63%)after chemoembolization followed by EBRT. The 1-year calculated overall survival (OS) ratefor all patients was 52.6% and the 2-year OS was 36.4%. The median OS in all patients was13 months. Patients with AP shunt showed poorer median OS than those without AP shunt,but there was no statistically significant difference (median, 12 months vs. 17 months). ConclusionThe AP shunt frequently occurs in HCC patients with PVTT. This study suggests that a poorprognosis is associated with an AP shunt. Chemoembolization followed by RT may producea decrease in AP shunts.
Factorization in the ring $h(\mathbb{Z}, \mathbb{Q})$ of composite Hurwitz polynomials
오동렬,오일목 강원경기수학회 2022 한국수학논문집 Vol.30 No.3
Let $\mathbb{Z}$ and $\mathbb{Q}$ be the ring of integers and the field of rational numbers, respectively. Let $h(\mathbb{Z}, \mathbb{Q})$ be the ring of composite Hurwitz polynomials. In this paper, we study the factorization of composite Hurwitz polynomials in $h(\mathbb{Z}, \mathbb{Q})$. We show that every nonzero nonunit element of $h(\mathbb{Z}, \mathbb{Q})$ is a finite $*$-product of quasi-primary elements and irreducible elements of $h(\mathbb{Z}, \mathbb{Q})$. By using a relation between usual polynomials in $\mathbb{Q}[x]$ and composite Hurwitz polynomials in $h(\mathbb{Z}, \mathbb{Q})$, we also give a necessary and sufficient condition for composite Hurwitz polynomials of degree $\leq 3$ in $h(\mathbb{Z}, \mathbb{Q})$ to be irreducible.