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Full-Text Articles in Physical Sciences and Mathematics

Discovery Of An Enzyme And Substrate Selective Inhibitor Of Adam10 Using An Exosite-Binding Glycosylated Substrate, Franck Madoux, Daniela Dreymuller, Jean-Phillipe Pettiloud, Radleigh Santos, Christoph Becker-Pauly, Andreas Ludwig, Gregg B. Fields, Thomas Bannister, Timothy P. Spicer, Mare Cudic, Louis D. Scampavia, Dmitriy Minond Dec 2016

Discovery Of An Enzyme And Substrate Selective Inhibitor Of Adam10 Using An Exosite-Binding Glycosylated Substrate, Franck Madoux, Daniela Dreymuller, Jean-Phillipe Pettiloud, Radleigh Santos, Christoph Becker-Pauly, Andreas Ludwig, Gregg B. Fields, Thomas Bannister, Timothy P. Spicer, Mare Cudic, Louis D. Scampavia, Dmitriy Minond

Mathematics Faculty Articles

ADAM10 and ADAM17 have been shown to contribute to the acquired drug resistance of HER2-positive breast cancer in response to trastuzumab. The majority of ADAM10 and ADAM17 inhibitor development has been focused on the discovery of compounds that bind the active site zinc, however, in recent years, there has been a shift from active site to secondary substrate binding site (exosite) inhibitor discovery in order to identify non-zinc-binding molecules. In the present work a glycosylated, exosite-binding substrate of ADAM10 and ADAM17 was utilized to screen 370,276 compounds from the MLPCN collection. As a result of this uHTS effort, a selective, …


Symmetric Integer Matrices Having Integer Eigenvalues, Lei Cao, Selcuk Koyuncu Oct 2016

Symmetric Integer Matrices Having Integer Eigenvalues, Lei Cao, Selcuk Koyuncu

Mathematics Faculty Articles

We provide characterization of symmetric integer matrices for rank at most 2 that have integer spectrum and give some constructions for such matrices of rank 3. We also make some connection between Hanlon’s conjecture and integer eigenvalue problem.


An Update On A Few Permanent Conjectures, Fuzhen Zhang Aug 2016

An Update On A Few Permanent Conjectures, Fuzhen Zhang

Mathematics Faculty Articles

We review and update on a few conjectures concerning matrix permanent that are easily stated, understood, and accessible to general math audience. They are: Soules permanent-on-top conjecture†, Lieb permanent dominance conjecture, Bapat and Sunder conjecture† on Hadamard product and diagonal entries, Chollet conjecture on Hadamard product, Marcus conjecture on permanent of permanents, and several other conjectures. Some of these conjectures are recently settled; some are still open.We also raise a few new questions for future study. (†conjectures have been recently settled negatively.)


Finite Involution Semigroups With Infinite Irredundant Bases Of Identities, Edmond W. H. Lee May 2016

Finite Involution Semigroups With Infinite Irredundant Bases Of Identities, Edmond W. H. Lee

Mathematics Faculty Articles

A basis of identities for an algebra is irredundant if each of its proper subsets fails to be a basis for the algebra. The first known examples of finite involution semigroups with infinite irredundant bases are exhibited. These involution semigroups satisfy several counterintuitive properties: their semigroup reducts do not have irredundant bases, they share reducts with some other finitely based involution semigroups, and they are direct products of finitely based involution semigroups.


Identification Of Protein Palmitoylation Inhibitors From A Scaffold Ranking Library, Laura D. Hamel, Brian J. Lenhart, David A. Mitchell, Radleigh Santos, Marc A. Giulianotti, Robert J. Deschenes May 2016

Identification Of Protein Palmitoylation Inhibitors From A Scaffold Ranking Library, Laura D. Hamel, Brian J. Lenhart, David A. Mitchell, Radleigh Santos, Marc A. Giulianotti, Robert J. Deschenes

Mathematics Faculty Articles

The addition of palmitoyl moieties to proteins regulates their membrane targeting, subcellular localization, and stability. Dysregulation of the enzymes which catalyzed the palmitoyl addition and/or the substrates of these enzymes have been linked to cancer, cardiovascular, and neurological disorders, implying these enzymes and substrates are valid targets for pharmaceutical intervention. However, current chemical modulators of zDHHC PAT enzymes lack specificity and affinity, underscoring the need for screening campaigns to identify new specific, high affinity modulators. This report describes a mixture based screening approach to identify inhibitors of Erf2 activity. Erf2 is the Saccharomyces cerevisiae PAT responsible for catalyzing the palmitoylation …


Decomposition Of Finite Schmidt Rank Bounded Operators On The Tensor Product Of Separable Hilbert Spaces, Abdelkrim Bourouihiya Jan 2016

Decomposition Of Finite Schmidt Rank Bounded Operators On The Tensor Product Of Separable Hilbert Spaces, Abdelkrim Bourouihiya

Mathematics Faculty Articles

Inverse formulas for the tensor product are used to develop an algorithm to compute Schmidt decompositions of Finite Schmidt Rank (FSR) bounded operators on the tensor product of separable Hilbert spaces. The algorithm is then applied to solve inverse problems related to the tensor product of bounded operators. In particular, we show how properties of a FSR bounded operator are reflected by the operators involved in its Schmidt decomposition. These properties include compactness of FSR bounded operators and convergence of sequences whose terms are FSR bounded operators.