Results 31 to 40 of about 6,325 (264)
On diffeological principal bundles of non-formal pseudo-differential operators over formal ones
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 We describe the structure of diffeological bundle of non formal classical pseudo-differential operators over formal ones, and its structure group. For this, we give results on diffeological principal bundles with (a priori) no local trivialization ...
Jean-Pierre Magnot
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Molecular Oncology, EarlyView.Single‐cell multi‐omics reveals epigenetic heterogeneity across therapy‐adaptive tumor states, including quiescent/dormant, drug‐tolerant persister, and EMT‐like phenotypes. By linking regulatory features with state‐associated biomarkers, these approaches inform biomarker‐guided therapeutic strategies for evolving tumors.
Hee Jung Kim +3 more
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Operator Ordering and Solution of Pseudo-Evolutionary Equations
Axioms, 2019 The solution of pseudo initial value differential equations, either ordinary or partial (including those of fractional nature), requires the development of adequate analytical methods, complementing those well established in the ordinary differential ...
Nicolas Behr +2 more
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WKB analysis of the linear problem for modified affine Toda field equations
Journal of High Energy Physics, 2023 We study the WKB analysis of the solutions to the linear problem for a modified affine Toda field equation, which is equivalent to the higher-order ordinary differential equation (ODE) studied in the ODE/IM correspondence.
Katsushi Ito, Mingshuo Zhu
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Adding a low frequency limit to fractional wave propagation models
Frontiers in Physics, 2023 Power-law attenuation in elastic wave propagation of both compressional and shear waves can be described with multiple relaxation processes. It may be less physical to describe it with fractional calculus medium models, but this approach is useful for ...
Sverre Holm +2 more
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On the lowest eigenvalue of a pseudo-differential operator [PDF]
Proceedings of the National Academy of Sciences, 1979 Positive lower bounds for pseudo-differential operators with nonnegative symbols are derived; the bounds in particular yield subelliptic estimates for operators arising as sums of squares of vector fields.
Fefferman, C., Phong, D. H.
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Translating whole‐genome doubling into precision medicine in cancer
Molecular Oncology, EarlyView.Whole‐genome doubling creates a WGD‐positive tumor state characterized by persistent chromosomal instability, karyotypic diversification, and cellular stress. These same biological pressures drive aggressive tumor evolution while exposing therapeutic vulnerabilities, providing a rationale for WGD‐informed precision medicine. Whole‐genome doubling (WGD)
Sejung Lee, Junghyeok Lim, Jinhyuk Bhin
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Numerical simulations of pure quasi-P-waves in orthorhombic anisotropic media
Frontiers in Earth Science, 2023 The accurate simulation of anisotropic media is critical in seismic imaging and inversion. In recent years, some scholars have dedicated efforts to the study of precise elastic waves in anisotropic media; however, it is easy to separate P-wave and S-wave
Hao Wang +3 more
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PANoptosis in the pathogenesis of myelodysplastic syndromes
Molecular Oncology, EarlyView.PANoptosis, a combination of three types of programmed cell death, is mediated by a large protein complex called a PANoptosome. In healthy bone marrow hematopoietic cells, PANoptosis is restricted by inhibitory signaling. In MDS, bone marrow cells become sensitive to the PANoptotic stimuli due to the aberrant inactivation of inhibitory signaling or ...
Rohit Thalla +4 more
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Fractal and Fractional, 2021 This paper is devoted to the fundamental problem of investigating the solvability of initial-boundary value problems for a quasi-linear pseudo-parabolic equation of fractional order with a sufficiently smooth boundary.
Serik E. Aitzhanov +2 more
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