Results 71 to 80 of about 569,475 (279)
Advances in Difference Equations, 2017 In this paper, we build a multispecies predator-prey model with mutual interference and time delays. By means of the comparison theorem, Ascoli theorem and Lebesgue dominated convergence theorem, we establish the sufficient conditions of permanence and ...
Qin Liu +4 more
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A Linear, Almost Periodic Equation With an Almost Automorphic Solution [PDF]
Proceedings of the American Mathematical Society, 1981 We construct a scalar, first order, almost periodic ODE ( ∗ ) x + A ( t ) x = B ( t ) {\text {ODE}}( * )x + A(t)x = B(t) which admits bounded solutions, but no almost periodic solutions. Using this equation, we give an
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Molecular Oncology, EarlyView.Glioma cells mainly express the endothelin receptor EDNRB, while EDNRA is restricted to a perivascular tumor subpopulation. Endothelin signaling reduces glioma cell proliferation while promoting migration and a proneural‐to‐mesenchymal transition associated with poor prognosis. This pathway activates Ca2+, K+, ERK, and STAT3 signalings and is regulated
Donovan Pineau +36 more
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Discrete Dynamics in Nature and Society, 2006 A nonautonomous semiratio-dependent predator-prey system with nonmonotonic functional responses is investigated. For general nonautonomous case, positive invariance, permanence, and globally asymptotic stability for the system are studied.
Hai-Feng Huo, Wan-Tong Li
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Molecular Oncology, EarlyView.Keratin 19 (KRT19) is overexpressed in high‐grade serous ovarian cancer with high levels of Kallikrein‐related peptidases (KLK) 4–7 and is associated with poor survival. In vivo analyses demonstrate that elevated KRT19 increases peritoneal tumour burden.
Sophia Bielesch +13 more
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Almost periodic solutions of nonlinear hyperbolic equations with time delay
Electronic Journal of Differential Equations, 2001 The almost periodicity of bounded solutions is established for a nonlinear hyperbolic equation with piecewise continuous time delay. The equation represents a mathematical model for the dynamics of gas absorption.
Hushang Poorkarimi, Joseph Wiener
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The frequencies of almost periodic solutions of almost periodic differential equations [PDF]
Journal of the Australian Mathematical Society, 1974 AbstractAlmost periodic solutions of a first order almost periodic differential equation in Rp are shown to have less than p basic frequencies additional to the basic frequencies of the almost periodic right hand of the equation.
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Somatic mutational landscape in von Hippel–Lindau familial hemangioblastoma
Molecular Oncology, EarlyView.The causes of central nervous system (CNS) hemangioblastoma in Von Hippel–Lindau (vHL) disease are unclear. We used Whole Exome Sequencing (WES) on familial hemangioblastoma to investigate events that underlie tumor development. Our findings suggest that VHL loss creates a permissive environment for tumor formation, while additional alterations ...
Maja Dembic +5 more
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Existence of positive almost-periodic solutions for a Nicholson's blowflies model
Electronic Journal of Differential Equations, 2013 This article concerns the existence of solutions to a first-order differential equation with time-varying delay, which is known as a Nicholson's blowflies model.
Qing-Long Liu, Hui-Sheng Ding
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Molecular Oncology, EarlyView.Targeted therapy was evaluated in SHH medulloblastoma using neuroepithelial stem cell (NES) and tumor‐derived NES‐like (tNES) models in 2D monolayers and 3D spheroids. PI3K, AKT, and CDK4/6 inhibitors had minimal effects in NES but markedly reduced viability and growth and induced apoptosis in tNES cells, revealing distinct therapeutic vulnerabilities.
Monika Lukoseviciute +4 more
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