Results 141 to 150 of about 8,296,108 (395)
Electronic Research ArchiveIn this paper, we study a chemotaxis system with nonlinear indirect signal production \begin{document}$ \left\{ {\begin{array}{*{20}{l}} {{u_t} = \Delta \left( {\gamma \left( v \right) u } \right)}+ru-\mu u^l, \quad &x\in \Omega, t>0, \\ {{v_t ...
Ya Tian, Jing Luo
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Global Existence and Blow-Up for a Chemotaxis System
Mathematical Modelling and Analysis, 2017 In this paper we consider a Keller-Segel-type chemotaxis model with reaction term under no-flux boundary conditions, where the kinetics term of the system is power function. Assuming some growth conditions, the existence of bounded global strong solution
Xueyong Chen +3 more
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Molecular Oncology, EarlyView.Prostate cancer is a leading malignancy with significant clinical heterogeneity in men. An 11‐gene signature derived from dysregulated epithelial cell markers effectively predicted biochemical recurrence‐free survival in patients who underwent radical surgery or radiotherapy.
Zhuofan Mou, Lorna W. Harries
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Molecular Oncology, EarlyView.MET variants in the N‐lobe of the kinase domain, found in hereditary papillary renal cell carcinoma, require ligand stimulation to promote cell transformation, in contrast to other RTK variants. This suggests that HGF expression in the microenvironment is important for tumor growth in such patients. Their sensitivity to MET inhibitors opens the way for
Célia Guérin +14 more
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Қарағанды университетінің хабаршысы. Математика сериясыIn this paper, the problem of a doubly nonlinear degenerate parabolic system with nonlinear sources and absorption terms not located in a homogeneous medium was considered. It obeys zero Dirichlet boundary conditions in a smooth bounded domain.
M.M. Aripov +2 more
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Fujita Critical Curve for a Coupled Diffusion System with Inhomogeneous Neumann Boundary Conditions∗
Mathematical Modelling and Analysis, 2016 In this paper, we establish the blow-up theorems of Fujita type for a class of exterior problems of nonlinear diffusion equations subject to inhomogeneous Neumann boundary conditions.
Runmei Du, Minghao Guo
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Endpoint estimates and global existence for the nonlinear Dirac equation with potential [PDF]
arXiv, 2011 We prove endpoint estimates with angular regularity for the wave and Dirac equations perturbed with a small potential. The estimates are applied to prove global existence for the cubic Dirac equation perturbed with a small potential, for small initial $H^{1}$ data with additional angular regularity.
arxiv
Existence of a globally uniform-asymptotically stable periodic and almost periodic solution [PDF]
, 1967 Tarô Yoshizawa
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Global Existence of Weak Solutions for the Burgers-Hilbert Equation
SIAM Journal on Mathematical Analysis, 2014 This paper establishes the global existence of weak solutions to the Burgers--Hilbert equation, for general initial data in ${\bf L}^2(\mathbb{R})$. For positive times, the solution lies in ${\bf L}^2\cap{\bf L}^\infty$.
A. Bressan, K. Nguyen
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Molecular Oncology, EarlyView.The complex mode of action of the topoisomerase II inhibitor etoposide in triggering apoptosis involves several mechanisms: overexpression of the mitochondrial protein VDAC1, leading to its oligomerization and formation of a large channel that mediates the release of pro‐apoptotic protein; and overexpression of the apoptosis regulators p53, Bax, and ...
Aditya Karunanithi Nivedita +1 more
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