Results 71 to 80 of about 345,519 (275)

Existence and uniqueness of positive solutions for a nonlocal dispersal population model

Electronic Journal of Differential Equations, 2014
In this article, we study the solutions of a nonlocal dispersal equation with a spatial weight representing competitions and aggregation. To overcome the limitations of comparison principles, we introduce new definitions of upper-lower solutions. The
Jian-Wen Sun
doaj  

Spatial and single‐nuclei transcriptomics reveals idiosyncratic and generic patterns in papillary and anaplastic thyroid cancers

Molecular Oncology, EarlyView.
Matched spatial transcriptomics and single‐nuclei RNA‐seq were generated for anaplastic and BRAFV600E papillary thyroid cancers revealing generic and tumor‐specific states occurring in cancer cells and in the tumor microenvironment. In this context, cancer dedifferentiation mirrored organoid maturation through ordered thyroid marker gain/loss ...
Adrien Tourneur, Joel Rodrigues Vitória, Manuel Saiselet, Ligia Craciun, Denis Larsimont, Anne Lefort, Frédérick Libert, Carine Maenhaut, Sabine Costagliola, Maxime Tarabichi, Mirian Romitti, Vincent Detours   +11 more
wiley   +1 more source

Existence and blow-up of solutions for a semilinear filtration problem

Electronic Journal of Differential Equations, 2013
We first examine the existence and uniqueness of local solutions to the semilinear filtration equation $u_t=Delta K(u)+lambda f(u)$, for $lambda>0$, with initial data $u_0geq 0$ and appropriate boundary conditions. Our main result is the proof of blow-
Evangelos A. Latos, Dimitrios E. Tzanetis   +1 more
doaj  

In vitro and in silico modelling of ROS1‐positive non‐small cell lung cancer reveals fusion‐dependent tyrosine kinase inhibitor responses

Molecular Oncology, EarlyView.
Drug resistance limits treatment success in a subset of lung cancers driven by ROS1 gene alterations. Using patient‐derived cells and computer simulations, we studied three key mutations and how they affect five targeted drugs. The mutations reduced drug effectiveness in different ways by altering protein structure and behavior.
Farhan Ul Haq, Marc Terrones, Felicia Rodrigues Fortes, Anne Schepers, Alessia Denis, Christophe Deben, Ken Op de Beeck, Guy Van Camp, Geert Vandeweyer   +8 more
wiley   +1 more source

Differential Equations and the Method of Upper and Lower Solutions [PDF]

, 2017
In this paper, some background material regarding differential equations and initial value problems is presented. The method of upper and lower solutions, which is used for determining existence of periodic solutions to periodic differential ...
Chapman, Jacob
core   +1 more source

Lower and upper solutions for delay evolution equations with nonlocal and impulsive conditions

, 2022
In this article, we apply the method of lower and upper solutions for studying delay evolution equations with nonlocal and impulsive conditions in infinite dimensional Banach spaces.
Zhang, Xuping
core   +1 more source

Circulating microRNA signatures of cachexia and cancer in Canis familiaris as a comparative oncology model for human disease

Molecular Oncology, EarlyView.
Circulating microRNAs as biomarkers of cachexia and sex‐specific cancer in senior dogs. In 25 client‐owned dogs, four circulating miRNAs (miR‐15a, miR‐15b, miR‐16, miR‐140) were downregulated in cachexia, with miR‐16 the strongest individual biomarker (AUC = 0.899).
Soon‐Seok Park, Kyongman An, Gyeonghwa Kim, Soo‐Nyun Choi, Hong‐Ki Lee, Keun Hur, Kyu‐Shik Jeong   +6 more
wiley   +1 more source

Cancer‐associated mutations in endometriosis reframe a benign disease through molecular oncology

Molecular Oncology, EarlyView.
This review aims to comprehensively analyse cancer‐associated somatic mutations (CAMs) present in endometriotic lesions, emphasizing their biological roles, spatial distribution and implications for translational applications in medicine. By contextualizing a benign state within a genomic framework, this analysis seeks to establish its value as a ...
Clarissa Mujacic, Maria Concetta Vitale, Rita Siino, Emilia Di Giovanni, Carla Ferrante Bannera, Enrico Di Marco, Andrea Gottardo, Tancredi Didier Bazan Russo, Nadia Barraco, Alessandro Perez, Valerio Gristina, Antonio Galvano, Giuseppe Badalamenti, Antonio Russo, Viviana Bazan, Lorena Incorvaia   +15 more
wiley   +1 more source

The Method of Upper, Lower Solutions and Volterra Integral Equations [PDF]

, 1980
In employing the method of upper and lower solutions to dynamical systems, one is required to impose a certain monotone property on the given system [5,6,11] When the given system does not possess such a monotonic property, stronger forms of upper and ...
Ladde, G. S., Pachpatte, B. G., Lakshmikantham, V.   +2 more
core   +1 more source

Existence of three solutions for a higher-order boundary-value problem

Electronic Journal of Differential Equations, 2009
We consider a higher-order multi-point boundary-value problem with a nonlinear boundary condition. Sufficient conditions are obtained for the existence of three solutions.
John R. Graef, Lingju Kong, Qingkai Kong
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