Results 111 to 120 of about 8,147,434 (373)
Global existence of near-affine solutions to the compressible Euler equations
, 2019 We establish global existence of solutions to the compressible Euler equations, in the case that a finite volume of ideal gas expands into vacuum. Vacuum states can occur with either smooth or singular sound speed, the latter corresponding to the so ...
Shkoller, Steve, Sideris, Thomas C.
core
Existence of a global solution of the Whitham equations [PDF]
Theoretical and Mathematical Physics, 2000 This paper deals with quasilinear hyperbolic systems of the form \[ \frac{\partial u_i}{\partial t}+ \lambda_i (u_1,\dots, u_{2g+1}) \frac{\partial u_i}{\partial x}=0, \qquad x,t,u_i\in \mathbb{R},\tag{1} \] with ordering \(u_1> u_2>\dots> u_{2g+1}\). For a given \(g\), system (1) is called \(g\)-phase Whitham equations.
openaire +3 more sources
Molecular Oncology, EarlyView.This study used longitudinal transcriptomics and gene‐pattern classification to uncover patient‐specific mechanisms of chemotherapy resistance in breast cancer. Findings reveal preexisting drug‐tolerant states in primary tumors and diverse gene rewiring patterns across patients, converging on a few dysregulated functional modules. Despite receiving the
Maya Dadiani +14 more
wiley +1 more source
Molecular Oncology, EarlyView.B‐cell chronic lymphocytic leukemia (B‐CLL) and monoclonal B‐cell lymphocytosis (MBL) show altered proteomes and phosphoproteomes, analyzed using mass spectrometry, protein microarrays, and western blotting. Identifying 2970 proteins and 316 phosphoproteins, including 55 novel phosphopeptides, we reveal BCR and NF‐kβ/STAT3 signaling in disease ...
Paula Díez +17 more
wiley +1 more source
Global existence for Maxwell–Bloch systems
Journal of Differential Equations, 2005 The author proves an existence and uniqueness result for the energy solution of the Maxwell-Bloch system with arbitrary initial vector in \(L^2(\mathbb R^3)\times L^2(\mathbb R^3)\times (L^2\cap L^\infty)(\mathbb R^3)\) verifying the conservation of current and charge.
openaire +3 more sources
Molecular Oncology, EarlyView.This study investigates gene expression differences between two major pediatric acute lymphoblastic leukemia (ALL) subtypes, B‐cell precursor ALL, and T‐cell ALL, using a data‐driven approach consisting of biostatistics and machine learning methods. Following analysis of a discovery dataset, we find a set of 14 expression markers differentiating the ...
Mona Nourbakhsh +8 more
wiley +1 more source
Global Existence and Fixed-Time Synchronization of a Hyperchaotic Financial System Governed by Semi-Linear Parabolic Partial Differential Equations Equipped with the Homogeneous Neumann Boundary Condition. [PDF]
Entropy (Basel), 2023 Wang C, Zhao X, Zhang Y, Lv Z.
europepmc +1 more source
Molecular Oncology, EarlyView.The COMBAT classification system, developed through multi‐omics integration, stratifies adult patients with B‐cell acute lymphoblastic leukemia(B‐ALL) into three molecular subtypes with distinct surface antigen patterns, immune landscape, methylation patterns, biological pathways and prognosis.
Yang Song +11 more
wiley +1 more source
Second order p-evolution equations with critical nonlinearity
Bruno Pini Mathematical Analysis SeminarIn this paper, we study critical nonlinearities for global small data solutions to the plate equation and other second order p-evolution equations, possibly under the action of a noneffective dissipative term.
Marcello D'Abbicco, Giovanni Girardi
doaj +1 more source
Molecular Oncology, EarlyView.In patients treated with atezolizumab as a part of the MyPathway (NCT02091141) trial, pre‐treatment ctDNA tumor fraction at high levels was associated with poor outcomes (radiographic response, progression‐free survival, and overall survival) but better sensitivity for blood tumor mutational burden (bTMB).
Charles Swanton +17 more
wiley +1 more source