Results 121 to 130 of about 2,960,114 (284)
Nodal solutions for singular second-order boundary-value problems
We use a global bifurcation theorem to prove the existence of nodal solutions to the singular second-order two-point boundary-value problem $$\displaylines{ -( pu') '(t)=f(t,u(t))\quad t\in ( \xi ,\eta) , \cr au(\xi )-b\lim_{t\to\xi} p(t)u'(t)=0 ...
Abdelhamid Benmezai +2 more
doaj
ABSTRACT Immune checkpoint blockade (ICB) has transformed the treatment of mismatch repair‐deficient (dMMR) colorectal cancer but produces no meaningful benefit in advanced mismatch repair‐proficient (pMMR) disease. In the neoadjuvant setting, however, pathological responses have been reported in a subset of pMMR tumors, suggesting that clinical ...
Kimihiro Yamashita +4 more
wiley +1 more source
Prospectively determined clinical T and N categories clearly stratified long‐term survival in locally advanced gastric cancer. Patients with cT3N+, cT4aN0, cT4aN+, and cT4b disease showed unfavorable prognosis despite standard treatment. These findings may help optimize patient selection for perioperative treatment strategies.
Tsutomu Hayashi +19 more
wiley +1 more source
A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
wiley +1 more source
Explaining the Origin of Negative Poisson's Ratio in Amorphous Networks With Machine Learning
This review summarizes how machine learning (ML) breaks the “vicious cycle” in designing auxetic amorphous networks. By transitioning from traditional “black‐box” optimization to an interpretable “AI‐Physics” closed‐loop paradigm, ML is shown to not only discover highly optimized structures—such as all‐convex polygon networks—but also unveil hidden ...
Shengyu Lu, Xiangying Shen
wiley +1 more source
To Greater Twist: A Kinetically Biased π‐Radical Cascade
π‐Radical cascades enable step‐economic construction of complex polycyclic aromatic frameworks. In this work, we show that a multifurcating pathway can be kinetically steered toward a single, more distorted product. This counterintuitive “falling‐upward” outcome arises from an intrinsic mechanistic bias, revealing a broader dimension of control in π ...
Yong Yang +8 more
wiley +2 more sources
A novel method for generating versatile standing wave fields using an acoustic metasurface deflector and retroreflector is introduced. By overcoming traditional constraints of parallel surfaces, the approach enables customizable wave patterns and enhances applications in particle manipulation.
Chadi Ellouzi +4 more
wiley +1 more source
Criteria and estimates for decaying oscillatory solutions for some second-order quasilinear ODEs
Oscillation criteria for the solutions of quasilinear second order ODE are revisited. In our early works [6,7], we obtained basic oscillation criteria for $$ \big\{ \phi_\alpha(u'(t))\big\}' + \alpha c(t) \phi_\beta(u(t)) =0 $$ by estimating of ...
Tadie
doaj
On nodal solutions of the Yamabe equation on products
Usually, one looks for positive solutions of the Yamabe equation. However, solutions which change signs, called \textit{nodal}, are also important. In this case, the equation takes the form \(L_g(u)=\lambda|u|^{p-2}u\), where \(L_g\) is the Yamabe operator associated to the Riemannian metric \(g\).
openaire +1 more source
A mechanics‐informed machine learning framework enables mechanics field prediction and inverse design of tendon–bone enthesis‐inspired functionally graded materials that reduce stress concentration and failure risk. By coupling multiscale finite element modeling, convolutional field prediction, and kernel‐based inverse design, the study uncovers ...
Zhangke Yang, Zhaoxu Meng
wiley +1 more source

