Results 101 to 110 of about 538,398 (307)

Blow-up rates for the general curve shortening flow

, 2009
The blow-up rates of derivatives of the curvature function will be presented when the closed curves contract to a point in finite time under the general curve shortening flow. In particular, this generalizes a theorem of M.E. Gage and R.S. Hamilton about mean curvature flow in $\mathbb{R}^{2}$.
Huang, Rongli, Chen, Juanjuan
openaire   +2 more sources

SMAD4 Palmitoylation Drives a Metabolic‐Transcriptional Circuit to Promote Tumorigenesis and Confers Radiosensitivity in Pancreatic Cancer

Advanced Science, EarlyView.
This study identifies palmitoylation as a novel regulatory modification of SMAD4, mediated by ZDHHC22/APT2. It activates fatty acid synthesis, creating a self‐reinforcing SMAD4–FASN–palmitate feedback loop that drives pancreatic cancer growth and enhances radiotherapy sensitivity.
Yang Wang, Shan Zhang, Junping Bai, Xiaobing Li, Yi Han, Min Ji, Chongyi Jiang, Xiaobei Ge, Tianyu Yu, Yongying Hou, Jun Zhang, Wangting Li, Yiran Song, Jiaying Cai, Yingqun Zhou, Liwei An, Feng Wang   +16 more
wiley   +1 more source

Blow-up for Discrete Reaction-Diffusion Equations on Networks

, 2015
In this paper, we discuss the conditions under which blow-up occurs for the solutions of reaction-diffusion equations on networks. The analysis of this class of problems includes the existence of blow-up in finite time and the determination of the blow ...
Jae-Hwang Lee, Soon-Yeong Chung, Soon-Yeong Chung   +2 more
core   +1 more source

Lymphoid‐Tissue‐on‐Chip Recapitulates Human Antibody Responses In Vitro

Advanced Science, EarlyView.
The presented lymphoid‐tissue‐on‐chip system allows culture of primary human tonsil cells at organotypic high density under perfusion for up to 4 weeks, emulates immune response to soluble vaccines and vaccination via peripheral antigen‐presenting cells and represents a useful tool to assess cellular interactions during homeostasis, immune responses ...
Claudia Teufel, Anna‐Sophie Schlemmer, Andrea W. Eiken, Zachary W. Wagoner, Dennis Vöhringer, Lena Christ, Alex Dulovic, Patrick Marsall, Madeleine Fandrich, Eduardo J. S. Brás, Julia Marzi, Friederike Bärhold, Julia Philipp, Sven Becker, Lisa E. Wagar, Peter Loskill   +15 more
wiley   +1 more source

Blow-up with logarithmic nonlinearities

, 2007
We study the asymptotic behaviour of nonnegative solutions of the nonlinear diffusion equation in the half-line with a nonlinear boundary condition,{ut=uxx−λ(u+1)logp(u+1),(x,t)∈R+×(0,T),−ux(0,t)=(u+1)logq(u+1)(0,t),t∈(0,T),u(x,0)=u0(x),x∈R+, with p,q,λ ...
Ferreira, Raúl, de Pablo, Arturo, Ferreira, R., de Pablo, A., Ferreira de Pablo, Raúl, Pablo, Arturo de, Rossi, J.D., Arturo De Pablo, Julio D. Rossi, Rossi, Julio D.   +9 more
core   +1 more source

Endoplasmic Reticulum Geometry Dictates Neuronal Bursting via Calcium Store Refill Rates and Exposes Selective Neuronal Vulnerability

Advanced Science, EarlyView.
The ER's continuous tubular network is maintained by ER‐shaping proteins whose mutation or dysregulation contributes to neurodegenerative diseases. Here, we show that ER morphology sets the speed of Ca2+ store replenishment between firing events. Disrupting ER continuity slows intra‐ER Ca2+ redistribution from extracellular refill (SOCE) sites, driving
Valentina Davi, Pierre Parutto, Yuyi Zhang, Tasuku Konno, Cecile Crapart, Raquel Pereira, John P. Franklin, Mosab Ali Awadelkareem, Daniel C Maddison, Michael J. Devine, Edgar R. Gomes, Joseph Chambers, Elena Koslover, Edward Avezov   +13 more
wiley   +1 more source

Blow-up for a semilinear heat equation with moving nonlinear reaction

Electronic Journal of Differential Equations, 2018
We study the behavior of solutions of the semilinear problem $$\displaylines{ u_t=u_{xx}+(1+(T-t)^{-\alpha}\chi_{\{|x|0$ and p>0 We describe, in terms of the parameters when the solution is bounded and when it blows up.
Raul Ferreira
doaj  

Machine‐Learning Microfluidic Minute‐Scale Microorganism Metrics Monitoring(M6)

Advanced Science, EarlyView.
ABSTRACT On‐site monitoring of microorganisms remains challenging because of low concentrations, strong background interference, and dynamic aerosol diffusion, particularly for aerosol‐transmitted pathogens. Here, we report a rapid detection platform that integrates a Puri‐focusing microfluidic chip, electrochemical impedance spectroscopy (EIS), and ...
Ning Yang, Jiahao Ding, Si Chen, Lijie Yan, Shichao Ding, Lavonda Li, Junyi Sun, Haodong Liu, Tongge Li, Ning Liu, Mingji Wei, Xiaoyong Zhu, Xiaobo Zou, Shouqi Yuan, Xingcai Zhang   +14 more
wiley   +1 more source

Predator–prey systems with small predator's death rate

Electronic Journal of Qualitative Theory of Differential Equations, 2018
The goal of our paper is to study canard relaxation oscillations of predator–prey systems with Holling type II of functional response when the death rate of predator is very small and the conversion rate is uniformly positive.
Renato Huzak
doaj   +1 more source

On blow-up and asymptotic behavior of solutions to a nonlinear parabolic equation of second order with nonlinear boundary conditions [PDF]

, 1999
summary:We obtain some sufficient conditions under which solutions to a nonlinear parabolic equation of second order with nonlinear boundary conditions tend to zero or blow up in a finite time. We also give the asymptotic behavior of solutions which tend
Boni, Théodore K.
core