Results 111 to 120 of about 4,837,642 (257)

A discrete free boundary problem [PDF]

open access: yes, 2015
We study the free boundary problem in a nonstandard setting of infinitesimal discretisations of the heat equation. In particular we derive regularity results of solutions and the free boundary, in terms of S-continuity and S ...
van den Berg, Imme
core  

Intrapatient tumour heterogeneity and clonal evolution in an autopsy study of metastatic salivary gland cancer

open access: yesMolecular Oncology, EarlyView.
Tumour heterogeneity and clonal evolution of metastatic salivary gland cancer were evaluated in two patients with adenoid carcinoma and one patient with myoepithelial carcinoma. Radiology‐guided autopsy enabled multi‐region sampling (total samples n = 149), followed by whole‐genome sequencing and phylogenetic reconstruction (17 tumour samples, 4–7 per ...
Gerben Lassche   +10 more
wiley   +1 more source

Somatostatin receptor 4 (SSTR4) is a tumor suppressor in cutaneous and head & neck squamous cell carcinomas

open access: yesMolecular Oncology, EarlyView.
This study identifies somatostatin receptor 4 (Sstr4) as a critical tumor suppressor against skin and head/neck cancers (HNSCC, cSCC, and BCC). The loss of Sstr4 removes a check on cell growth, causing hyperactivation of the MAPK‐ERK signaling pathway (↑).
Ali Taqvi   +6 more
wiley   +1 more source

The multi-layer free boundary problem for the p-Laplacian in convex domains

open access: yes, 2004
Click on the DOI link below to access the article (may not be free).The main result of this paper concerns existence of classical solutions to the multi-layer Bernoulli free boundary problem with nonlinear joining conditions and the p-Laplacian as gov-
Acker, Andrew   +11 more
core   +1 more source

Free Boundary Regularity for Almost Every Solution to the Signorini Problem. [PDF]

open access: yesArch Ration Mech Anal, 2021
Fernández-Real X, Ros-Oton X.
europepmc   +1 more source

Mechanisms and therapeutic opportunities of the ribotoxic stress response in cancer

open access: yesMolecular Oncology, EarlyView.
Cancer cells' high translational demand creates opportunities to therapeutically target ribosome function. Ribosome stalling and collisions activate ZAKα and the ribotoxic stress response (RSR), which can trigger rapid, p53‐independent apoptosis in cancer.
Anastassiya Kim   +7 more
wiley   +1 more source

Fast Numerical Methods for Evolving Interfaces

open access: yes, 2006
Free and/or moving boundary problems occur in a wide range of applications. These boundaries can obey either local or global conditions. In this dissertation, new numerical techniques for solving some of these problems are developed, analyzed ...
Kuster, Christopher M.
core  

Existence of global solutions to a mutualistic model with double fronts

open access: yesElectronic Journal of Differential Equations, 2015
We study a system of semilinear parabolic equations with two free boundaries describing the spreading fronts of the invasive species in a mutualistic ecological model.
Mei Li, Lin Lin
doaj  

Dynamics for a Ratio-Dependent Prey–Predator Model with Different Free Boundaries

open access: yesMathematics
In this paper, we study the dynamics of the ratio-dependent type prey–predator model with different free boundaries. The two free boundaries, determined by prey and predator, respectively, implying that they may intersect with each other as time evolves,
Lingyu Liu, Xiaobo Li, Pengcheng Li
doaj   +1 more source

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