We survey some recent mathematical works we have contributed to that are related to the modeling of defects in materials science at different scales. We emphasize the similarities (need of a reference, often periodic system; renormalization procedure; etc) shared by models arising in different contexts. Our illustrative examples are taken from electronic structure models, atomistic models, homo...

BACKGROUND Because beliefs about the soul after death affect the dying experience, patients and survivors may want to discuss those beliefs with their healthcare provider; however, almost no medical research describes such beliefs, leaving healthcare professionals ill prepared to respond. This exploratory study begins the descriptive process. METHODS Assuming that culture is key, we asked old...

BACKGROUND McCune-Albright syndrome is a sporadic disorder characterized by polystotic fibrous dysplasia, pigmented patches of skin, and endocrinological abnormalities. OBJECTIVES To compare the genetic characteristics of the GNAS1 gene in a monozygotic pair of twins, one of whom was diagnosed with MAS while the other had no indication of the syndrome. METHODS We performed a molecular analy...

McCune-Albright syndrome (MAS) is a rare disorder that develops from an activating mutation in the Gs gene. It is characterized by an association with Polyostotic fibrous dysplasia, and precocious puberty, Caf-au-lait pigmentation, and other endocrinopathies that result from the hyperactivity of a variety of endocrine glands. Recently we encountered a patient with MAS with fibrous dysplasia, sk...

We observed a 15-year-old Caucasian boy with a rare form of reflex epilepsy, known as hot water epilepsy (HWE), associated to McCune-Albright syndrome (MAS). This is a rare disease due to post-zygotic and somatic mutations of the Gs-alpha gene, that results in cellular mosaicism. Predominant features of MAS occur in the bony skeleton, the skin, the endocrine system, and, in atypical presentatio...

Received July 26, 2013, Revised September 11, 2013, Accepted for publication September 26, 2013 Corresponding author: Tae Yoon Kim, Department of Dermatology, The Catholic University of Korea, Seoul St. Mary’s Hospital, 222 Banpodaero, Seocho-gu, Seoul 137-701, Korea. Tel: 82-2-593-2626, Fax: 82-2-3482-8261, E-mail: [email protected] This is an Open Access article distributed under the te...

Ken Kunen is justifiably best known for his work in set theory and topology. What I would guess many of his friends and students in those areas do not know is that Ken also did important work in algebra, especially in quasigroup and loop theory. In fact, I think it is not an exaggeration to say that his work in loop theory, both alone and in collaboration, revolutionized the field. In this pape...

We study geometric quantization of moduli spaces of vector bundles on an algebraic curve X, and its relation to theta functions. In limits when the complex structure of X degenerates, we describe vector spaces of distributions with Verlinde dimension, associated to the quantization of some of these moduli spaces in real polarizations. We show that special bases on these spaces, defined using a ...

the classical triad of mccune-albright syndrome (mas) consists of polyostotic fibrous dysplasia (fd), skin hyperpigmentation (café-au-lait spots), and endocrine dysfunction, frequently seen in females as precocious puberty. etiology is genetically based and is explained by mosaicism of activating somatic mutations of the alpha-subunit of gs protein. clinical presentation is varied and is depend...