Results 51 to 60 of about 4,454 (298)

Feynman Path Integral Variation On Lorentz Manifolds - 8 Theory

, 2021
This paper is analyzing the 8-theory framework and the Feynman path integral formulation and seek to reach a synthesis which will lead to an effective technique of finding transition amplitudes on Lorentz Manifolds.
Manor Ohad
core   +1 more source

On the asymptotic expansion of certain plane singular integral operators

Boundary Value Problems, 2017
We discuss the problem of the asymptotic expansion for some operators in a general theory of pseudo-differential equations on manifolds with borders. Using the distribution theory one obtains certain explicit representations for these operators.
Vladimir Vasilyev
doaj   +1 more source

Least Squares Approximation of Flatness on Riemannian Manifolds

Mathematics, 2020
The purpose of this paper is fourfold: (i) to introduce and study the Euler–Lagrange prolongations of flatness PDEs solutions (best approximation of flatness) via associated least squares Lagrangian densities and integral functionals on Riemannian ...
Iulia Hirica, Constantin Udriste, Gabriel Pripoae, Ionel Tevy   +3 more
doaj   +1 more source

Longitudinal circulating tumor DNA profiling in patients with advanced endometrial cancer using an off‐the‐shelf targeted NGS panel

Molecular Oncology, EarlyView.
Intratumour heterogeneity complicates precision management of advanced endometrial cancer. Circulating tumor DNA (ctDNA) offers a minimally invasive strategy to capture tumor evolution and therapeutic resistance. Here, we compare tumor‐agnostic NGS with tumor‐informed ddPCR, outlining their relative sensitivity, concordance, and clinical implications ...
Carlos Casas‐Arozamena, Karin Teien Lande, Eva Diaz, Ana Vilar, Juan Cueva, Efigenia Arias, Victoria Sampayo, Alicia Abalo, Nerea González, Eva Colás, Antonio Gil‐Moreno, Miguel Abal, Gema Moreno‐Bueno, Therese Sørlie, Kristina Lindemann, Laura Muinelo‐Romay   +15 more
wiley   +1 more source

The integral homology of orientable Seifert manifolds

, 2003
For any orientable Seifert manifold M, the integral homology group H1(M)=H1(M;Z) is computed and explicit generators are found. This calculation gives a presentation for the p-torsion of H1(M) for any prime p. Since Seifert manifolds have dimension 3, H1(
Pigott, B., Bryden, J., Lawson, T., Zvengrowski, P.   +3 more
core   +1 more source

On the integrability problem for systems of partial differential equations in one unknown function, II

Pracì Mìžnarodnogo Geometričnogo Centru, 2019
We continue here our discussion of Part I, [18], by examining the local equivalence problem for partial differential equations and illustrating it with some examples, since almost any integration process or method is actually a local equivalence problem ...
Antonio Kumpera
doaj   +1 more source

Path Integrals on Manifolds with Boundary [PDF]

Communications in Mathematical Physics, 2017
23 pages, to appear in Comm.
openaire   +4 more sources

ESR1 methylation and ESR1 mutations in circulating tumor cells (CTCs) and paired plasma‐cfDNA of advanced breast cancer patients: A feasibility proof‐of‐concept study

Molecular Oncology, EarlyView.
Circulating tumor cells (CTCs) and plasma cell‐free DNA (cfDNA) were analyzed to detect ESR1 mutations and methylation in patients with advanced breast cancer. CTC‐derived DNA showed higher sensitivity for mutation detection and revealed complementary genetic and epigenetic alterations, highlighting the added value of CTC analysis for understanding ...
Dimitra Stergiopoulou, Athina Markou, Eleonora Nicolo, Mara S Serafini, Qiang Zhang, Youbin Zhang, Lorenzo Gerratana, Andrew A. Davis, Huiping Liu, William J Gradishar, Carolina Reduzzi, Massimo Cristofanilli, Evi Lianidou   +12 more
wiley   +1 more source

Integral manifolds for impulsive HCV conformable neural network models

Applied Mathematics in Science and Engineering
In this paper, we offer a new modelling approach for hepatitis C virus (HCV) infection models with cytotoxic T lymphocytes (CTL) immune responses. The standard neural network models with reaction-diffusion terms are generalized to the discontinuous case ...
Martin Bohner, Ivanka Stamova, Gani Stamov, Cvetelina Spirova   +3 more
doaj   +1 more source

Numerical metrics, curvature expansions and Calabi-Yau manifolds

Journal of High Energy Physics, 2020
We discuss the extent to which numerical techniques for computing approximations to Ricci-flat metrics can be used to investigate hierarchies of curvature scales on Calabi-Yau manifolds.
Wei Cui, James Gray
doaj   +1 more source