Doublecortin-like kinase 1 (Dclk1), a microtubule-associated kinase, marks the fifth lineage of intestinal epithelial cells called tuft cells that function as tumor stem cells in Apc mutant models of ...colon cancer. In order to determine the role of Dclk1 in dextran sulfate sodium (DSS) induced colonic inflammation both intestinal epithelial specific Dclk1 deficient (VillinCre;Dclk1f/f) and control (Dclk1f/f) mice were fed 3% DSS in drinking water for 9 days, allowed to recover for 2 days, and killed. The clinical and histological features of DSS-induced colitis were scored and immunohistochemical, gene expression, pro-inflammatory cytokines/chemokines, and immunoblotting analyses were used to examine epithelial barrier integrity, inflammation, and stem and tuft cell features. In DSS-induced colitis, VillinCre;Dclk1f/f mice demonstrated exacerbated injury including higher clinical colitis scores, increased epithelial barrier permeability, higher levels of pro-inflammatory cytokines and chemokines, decreased levels of Lgr5, and dysregulated Wnt/b-Catenin pathway genes. These results suggest that Dclk1 plays an important role in regulating colonic inflammatory response and colonic epithelial integrity.
Several new
q
-supercongruences are obtained using transformation formulas for basic hypergeometric series, together with various techniques such as suitably combining terms, and creative ...microscoping, a method recently developed by the first author in collaboration with Zudilin. More concretely, the results in this paper include
q
-analogues of supercongruences (referring to
p
-adic identities remaining valid for some higher power of
p
) established by Long, by Long and Ramakrishna, and several other
q
-supercongruences. The six basic hypergeometric transformation formulas which are made use of are Watson’s transformation, a quadratic transformation of Rahman, a cubic transformation of Gasper and Rahman, a quartic transformation of Gasper and Rahman, a double series transformation of Ismail, Rahman and Suslov, and a new transformation formula for a nonterminating very-well-poised
12
ϕ
11
series. Also, the nonterminating
q
-Dixon summation formula is used. A special case of the new
12
ϕ
11
transformation formula is further utilized to obtain a generalization of Rogers’ linearization formula for the continuous
q
-ultraspherical polynomials.
We provide several new q-congruences for truncated basic hypergeometric series, mostly of arbitrary order. Our results include congruences modulo the square or the cube of a cyclotomic polynomial, ...and in some instances, parametric generalizations thereof. These are established by a variety of techniques including polynomial argument, creative microscoping (a method recently introduced by the first author in collaboration with Zudilin), Andrews’ multiseries generalization of the Watson transformation, and induction. We also give a number of related conjectures including congruences modulo the fourth power of a cyclotomic polynomial.
A weighted extension of Fibonacci numbers Bhatnagar, Gaurav; Kumari, Archna; Schlosser, Michael J.
Journal of difference equations and applications,
07/03/2023, Letnik:
29, Številka:
7
Journal Article
Recenzirano
Odprti dostop
We extend Fibonacci numbers with arbitrary weights and generalize a dozen Fibonacci identities. As a special case, we propose an elliptic extension which extends the q-Fibonacci polynomials appearing ...in Schur's work. The proofs of most of the identities are combinatorial, extending the proofs given by Benjamin and Quinn, and in the q-case, by Garrett. Some identities are proved by telescoping.
This study reports trends in volume and adverse events associated with isolated aortic valve procedures performed in Medicare beneficiaries between 2009 and 2015.
This retrospective study used the ...annual fiscal year Medicare Provider Analysis and Review file to identify all Medicare beneficiaries undergoing an isolated aortic valve procedure. Outcome measures included three mortality rates and nine in-hospital adverse events. The final study population consisted of 233,660 hospitalizations.
During the study period, Medicare beneficiaries undergoing an aortic valve procedure increased from 22,076 to 49,362, for an average annual growth rate of 14.45%. Transcatheter aortic valve replacement (TAVR) procedures per 100,000 Medicare beneficiaries grew from 10.7 in 2012 to 41.1 in 2015. Overall, in-hospital mortality rates, cumulative 30-day mortality rates, and 90-day postdischarge mortality rates declined annually during the study period. However, the 90-day mortality rate for TAVR was nearly double the rate for the tissue surgical aortic valve replacement group. Nearly 68% of Medicare beneficiaries experienced at least one in-hospital adverse event during their index hospitalization. Medicare beneficiaries undergoing TAVR had the lowest observed adverse events rates among the aortic valve procedures in 2015.
The total number of Medicare beneficiaries undergoing isolated aortic valve procedures increased from 47.5 to 88.9 per 100,000 Medicare beneficiaries during the study period. Aortic valve procedures increased significantly during this study period primarily due to the increase in TAVR, with clinical outcomes improving as well. Although long-term outcomes of TAVR are still under investigation, these results are promising.
Doublecortin-like kinase 1 (DCLK1) is a putative pancreatic stem cell marker and is upregulated in pancreatic cancer, colorectal cancer, and many other solid tumors. It marks tumor stem cells in ...mouse models of intestinal neoplasia. Here we sought to determine whether DCLK1 protein can be detected in the bloodstream and if its levels in archived serum samples could be quantitatively assessed in pancreatic cancer patients. DCLK1 specific ELISA, western blotting, and immunohistochemical analyses were used to determine expression levels in the serum and staining intensity in archived tumor tissues of pancreatic ductal adenocarcinoma (PDAC) patients and in pancreatic cancer mouse models. DCLK1 levels in the serum were elevated in early stages of PDAC (stages I and II) compared to healthy volunteers (normal controls). No differences were observed between stages III/IV and normal controls. In resected surgical tissues, DCLK1 expression intensity in the stromal cells was significantly higher than that observed in tumor epithelial cells. Circulating tumor cells were isolated from KPCY mice and approximately 52% of these cells were positive for Dclk1 staining. Dclk1 levels in the serum of KPC mice were also elevated. We have previously demonstrated that DCLK1 plays a potential role in regulating epithelial mesenchymal transition (EMT). Given the increasingly recognized role of EMT derived stem cells in cancer progression and metastasis, we hypothesize that DCLK1 may contribute to the metastatic process. Taken together, our results suggest that DCLK1 serum levels and DCLK1 positive circulating tumor cells should be further assessed for their potential diagnostic and prognostic significance.
In this paper, we study properties of the coefficients appearing in the
q
-series expansion of
∏
n
≥
1
(
1
-
q
n
)
/
(
1
-
q
pn
)
δ
, the infinite Borwein product for an arbitrary prime
p
, raised ...to an arbitrary positive real power
δ
. We use the Hardy–Ramanujan–Rademacher circle method to give an asymptotic formula for the coefficients. For
p
=
3
we give an estimate of their growth which enables us to partially confirm an earlier conjecture of the first author concerning an observed sign pattern of the coefficients when the exponent
δ
is within a specified range of positive real numbers. We further establish some vanishing and divisibility properties of the coefficients of the cube of the infinite Borwein product. We conclude with an Appendix presenting several new conjectures on precise sign patterns of infinite products raised to a real power which are similar to the conjecture we made in the
p
=
3
case.
We study two types of dynamical extensions of Lucas sequences and give elliptic solutions for them. The first type concerns a level-dependent (or discrete time-dependent) version involving commuting ...variables. We show that a nice solution for this system is given by elliptic numbers. The second type involves a non-commutative version of Lucas sequences which defines the non-commutative (or abstract) Fibonacci polynomials introduced by Johann Cigler. If the non-commuting variables are specialized to be elliptic-commuting variables the abstract Fibonacci polynomials become non-commutative elliptic Fibonacci polynomials. Some properties we derive for these include their explicit expansion in terms of normalized monomials and a non-commutative elliptic Euler-Cassini identity.
New Directions in Police Academy Training: A Call to Action Blumberg, Daniel M; Schlosser, Michael D; Papazoglou, Konstantinos ...
International journal of environmental research and public health,
12/2019, Letnik:
16, Številka:
24
Journal Article
Recenzirano
Odprti dostop
The complexities of modern policing require law enforcement agencies to expand how officers are trained to do their jobs. It is not sufficient for training to focus solely on the law or on perishable ...skills; such as arrest and control; defensive tactics; driving; and firearms. The present manuscript addresses the critical importance of infusing academy training with the psychological skills essential for officers to meet the contemporary challenges of police work. The authors suggest that the skills (i.e., cognitive; emotional; social; and moral) discussed in this paper may improve officers' wellness as well as promote relationships between police officers and community members. Specific methods of incorporating these skills in academy training are offered.
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