18 papers · ranked by Valyu relevance
Shrey S. Sukhadia, Kristen E. Muller, Adrienne A. Workman, Shivashankar H. Nagaraj
Breast cancer ranks second in the most common cancer in women worldwide with 30% of cases resulting into recurrence of the disease at distant organs post the treatment. While clinicians have utilized several clinicopathological measurements for prediction of distant recurrences in invasive breast carcinoma (IBC), none…
Hyung Seok Park, Shinhyuk Kim, Kiho Kim, Ho Yoo + 4 more
'Ja Seong Bae' 'Byung Joo Song' 'Sang Seol Jung'] Background Distant recurrence is one of the most important risk factors in overall survival, and distant recurrence is related to a complex biologic interaction of seed and soil factors. The aim of the study was to investigate the association between the molecular…
Marieke Pape, Pauline A J Vissers, David Bertwistle, Laura McDonald + 8 more
In total, 2063 of 2587 patients (79.7 per cent) had treatment with curative intent, and information on follow-up was available for 1909 of 2063 patients (92.5 per cent). Patient and treatment characteristics of this population are shown in [sup1]. Some 862 of 1909 patients were diagnosed with recurrent disease, of whom…
Lee Curtin, Andrea Hawkins-Daarud, Alyx B. Porter, Markus R. Owen + 2 more
A typical feature of glioblastoma (GBM) growth is local recurrence after surgery. However, some GBMs recur distally. It has been noted that GBM patients with perioperative ischemia are more likely to have distal recurrence and that GBM cells migrate faster under hypoxic conditions. We apply the Proliferation Invasion…
Zexian Zeng, Ankita Roy, Xiaoyu Li, Sasa Espino + 3 more
'Khan Seema' 'Yuan Luo'] Abstract—Accurately identifying distant recurrences in breast cancer from the Electronic Health Records (EHR) is important for both clinical care and secondary analysis. Although multiple applications have been developed for computational phenotyping in breast cancer, distant recurrence…
Yasuhiro Ito, Mitsuyoshi Hirokawa, Takuya Higashiyama, Yuuki Takamura + 3 more
'Yuuki Takamura' 'Kaoru Kobayashi' 'Akihiro Miya' 'Akira Miyauchi'] Subcutaneous or intrastrap muscular (SIM) recurrence is rare in papillary thyroid carcinoma (PTC) patients, and its clinical significance remains unclear. We analyzed 29 patients with PTC who showed SIM recurrence in order to elucidate this issue. The…
Alexander Muacevic, John R Adler, Takeru Hamaoka, Hiroko Bando + 3 more
'Mai Okazaki' 'Akiko Iguchi-Manaka' 'Hisato Hara'] While the prognosis for ductal carcinoma in situ (DCIS) of the breast is generally excellent, distant metastasis after appropriate local treatment is extremely rare. We experienced two cases of distant metastasis after mastectomy for breast ductal carcinoma in situ. In…
Neeraja M Krishnan, I Mohanraj, Janani Hariharan, Binay Panda
CAFE MOCHA (Clinical Association of Functionally Established MOlecular CHAnges) is an integrated GUI-driven computational and statistical framework to discover molecular signatures linked to a specific clinical attribute in a cancer type. We tested CAFE MOCHA in head and neck squamous cell carcinoma (HNSCC) for…
Mauro Di Nasso
We consider shifts of a set A ⊆ N by elements from another set B ⊆ N, and prove intersection properties according to the relative asymptotic size of A and B. A consequence of our main theorem is the following: If A = {an} is such that an = o(n k/k−1 ), then the k-recurrence set Rk(A) = {x | |A∩(A+x)| ≥ k} contains the…
Crystal L Kahn, Shay Mozes, Benjamin J Raphael
Background Segmental duplications, or low-copy repeats, are common in mammalian genomes. In the human genome, most segmental duplications are mosaics comprised of multiple duplicated fragments. This complex genomic organization complicates analysis of the evolutionary history of these sequences. One model proposed to…
Elizabeth HJ Robbins, Yi Liu, Steven Kelly
Identifying recurrent changes in biological sequences is important to multiple aspects of biological research -from understanding the molecular basis of convergent phenotypes, to pinpointing the causative sequence changes that give rise to antibiotic resistance and disease. Here, we present RECUR, a method for…
Sophie Grivaux, Antoni López-Martínez, Alfredo Peris
We study, for a continuous linear operator T on an F-space X, when the direct sum operator T ⊕ T is recurrent on X ⊕ X. In particular: we establish the analogous notion, for recurrence, to that of (topological) weak-mixing for transitivity/hypercyclicity, namely quasi-rigidity; and we construct a recurrent but not…
Cooper, Elio Joseph
We find a closed-form solution to the recurrence zn+2 = 1 zn+1 + zn, where n ∈ Z≥1 and z1 ∈ R>0, z2 ∈ R>0. As a corollary, we derive an alternate proof of a recurrence for an expression involving double factorials which first appeared in the 2004 Putnam Contest. We subsequently pose several open questions suitable for…
Brian Hopkins
Recently, Blecher and Knopfmacher explored the notion of fixed points in integer partitions. Here, we distinguish partitions with a fixed point by which value is fixed and analyze the resulting triangle of integers. In particular, we confirm various identities for diagonal sums, row sums, and antidiagonal sums (which…
Tyler B. Smith, Daniel B. Weissman
Limited dispersal results in isolation by distance in spatially structured populations, in which individuals found further apart tend to be less related to each other. Models of populations undergoing short-range dispersal predict a close relation between the distance individuals disperse and the length scale over…
Altug Alkan, Nathan Fox, Orhan Özgür Aybar, Z. Akdeniz
In this study, we explore the properties of certain solutions of Hofstadter's famous V -recurrence, defined by the nested recurrence relation V (n) = V (n − V (n − 1)) + V (n − V (n − 4)). First, we discover the nature behind a finite chaotic meta-Fibonacci sequence in terms of mortality in the V -recurrence. Then, we…
James J. Y. Zhao
In this note we introduce a determinant and then give its evaluating formula. The determinant turns out to be a generalization of the well-known ballot and Fuss-Catalan numbers, which is believed to be new. The evaluating formula is proved by showing that the determinant coincides with the number of lattice paths with…
Naruhiko Adachi, Toshiya Senda, Masami Horikoshi
TBP and TFIIB are evolutionarily conserved transcription initiation factors in archaea and eukaryotes. Information about their ancestral genes would be expected to provide insight into the origin of the RNA polymerase II-type transcription apparatus. In obtaining such information, the nucleotide sequences of current…