Results 41 to 50 of about 5,929 (263)
Here we generalize quasilinear parabolic p-Laplacian type equations to obtain the prototype equation $$ u_t - \hbox{div} \Big(\frac{g(|Du|)}{|Du|} Du\Big) = 0, $$ where g is a nonnegative, increasing, and continuous function trapped in between two
Sukjung Hwang, Gary M. Lieberman
doaj
RNA profiling of circulating extracellular vesicles (EVs) from blood samples of men undergoing prostate biopsy identifies transcripts associated with clinically significant prostate cancer. Integrative analysis with public tumor datasets links EV‐derived gene signatures to tumor stage and progression‐free survival, highlighting CASP3, XRCC2, and RIT1 ...
Stefan Werner +14 more
wiley +1 more source
Monotone iterative technique for finite systems of nonlinear Riemann-Liouville fractional differential equations [PDF]
Comparison results of the nonlinear scalar Riemann-Liouville fractional differential equation of order \(q\), \(0 \lt q \leq 1\), are presented without requiring Hölder continuity assumption.
Z. Denton, A. S. Vatsala
doaj +1 more source
HOLDER CONTINUOUS FUNCTIONS AND THEIR ABEL AND LOGARITHMIC MEANS
Mahapatra and Chandra [8] have obtained the degree of approximation for $f \in H_\alpha(0\le \beta<\alpha\le 1)$ using infinite matrix $A = (a_{nk})$. Mahapatra and Chandra [7] used Euler, Boral and Taylor means. In the present paper we have obtained the analogous results using Abel ($A_\lambda$) and Logarithmic ($L$)-means ...
Sharma, Sushil, Varma, S. K.
openaire +3 more sources
Many patients with urothelial cancer do not benefit from treatment with pembrolizumab, while at risk of severe side effects. Changes in the levels of circulating tumor DNA early during treatment, measured by a simple and affordable assay that can be easily implemented in the clinic, can be used as a prognostic tool to identify these patients.
Youssra Salhi +14 more
wiley +1 more source
Tumor B‐cell infiltration in platinum‐treated advanced muscle‐invasive urothelial carcinoma
Bladder tumors with higher pretreatment memory B‐cell infiltration were linked to longer survival after cisplatin chemotherapy, but not carboplatin. These tumors also showed more organized immune structures (tertiary lymphoid structures) and a shared pro‐inflammatory B‐cell‐rich community, suggesting that memory B cells may help identify patients most ...
Konrad Stawiski +10 more
wiley +1 more source
Holder regularity for signed solutions to singular porous medium type equations
We prove Holder regularity for bounded signed solution to singular porous medium type equations, whose prototype is $$ u_t-hbox{div}m|u|^{m-1}Du=0quadhbox{weakly in }E_T, $$ with $min(0,1)$.
Simona Puglisi
doaj
BCL9 and BCL9L drive bladder cancer progression by enhancing β‐catenin signaling, promoting proliferation, migration, invasion, and organoid growth. Genetic depletion of BCL9(L) suppresses malignant phenotypes, while pharmacological disruption of the β‐catenin/BCL9(L) complex with ZW4864 inhibits canonical Wnt signaling and tumor‐associated cellular ...
Roland Kotolloshi +11 more
wiley +1 more source
Holder continuity for a periodic 2-component mu-b system
In this article, we consider the Cauchy problem of a periodic 2-component $\mu$-b system. We show that the date to solution for the periodic 2-component $\mu-b$ system is Holder continuous from bounded set of Sobolev spaces with exponent s>5/2 ...
Xiaohuan Wang
doaj
Unique biological samples, such as site‐specific mutant proteins, are available only in limited quantities. Here, we present a polarization‐resolved transient infrared spectroscopy setup with referencing to improve signal‐to‐noise tailored towards tracing small signals. We provide an overview of characterizing the excitation conditions for polarization‐
Clark Zahn, Karsten Heyne
wiley +1 more source

