Results 81 to 90 of about 817,111 (369)

A large‐scale retrospective study in metastatic breast cancer patients using circulating tumour DNA and machine learning to predict treatment outcome and progression‐free survival

Molecular Oncology, EarlyView.
There is an unmet need in metastatic breast cancer patients to monitor therapy response in real time. In this study, we show how a noninvasive and affordable strategy based on sequencing of plasma samples with longitudinal tracking of tumour fraction paired with a statistical model provides valuable information on treatment response in advance of the ...
Emma J. Beddowes, Mario Ortega Duran, Solon Karapanagiotis, Alistair Martin, Meiling Gao, Riccardo Masina, Ramona Woitek, James Tanner, Fleur Tippin, Justine Kane, Jonathan Lay, Anja Brouwer, Stephen‐John Sammut, Suet‐Feung Chin, Davina Gale, Dana W. Y. Tsui, Sarah‐Jane Dawson, Nitzan Rosenfeld, Maurizio Callari, Oscar M. Rueda, Carlos Caldas   +20 more
wiley   +1 more source

Inverse and Direct Problem of the Dynamics of Central Motions [PDF]

Rendiconti di Matematica e delle Sue Applicazioni, 1999
For a given monoparametric family of orbits, a Szebehely-type inverse problem is solved i.e. a linear partial differential equation of the first order is written giving the radial component F = F(r, θ) of a central force (in general not conservative ...
Francesco Borghero, George Bozis, Antonio Melis   +2 more
doaj  

The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions

Abstract and Applied Analysis, 2013
The first integral method introduced by Feng is adopted for solving some important nonlinear partial differential equations, including the (2 + 1)-dimensional hyperbolic nonlinear Schrodinger (HNLS) equation, the generalized nonlinear Schrodinger (GNLS ...
Shoukry Ibrahim Atia El-Ganaini
doaj   +1 more source

Multi-dimensional Legendre wavelets approach on the Black-Scholes and Heston Cox Ingersoll Ross equations

AIMS Mathematics, 2019
The one dimension Legendre Wavelet is a numerical method to solve one dimension equation. In this paper Black-Scholes equation (B-S), that has applied via single asset American option and Heston Cox- Ingersoll- Ross equation (HCIR), as partial ...
Jafar Biazar, Fereshteh Goldoust
doaj   +1 more source

Use of Complex Lie Symmetries for Linearization of Systems of Differential Equations - II: Partial Differential Equations

, 2011
The linearization of complex ordinary differential equations is studied by extending Lie's criteria for linearizability to complex functions of complex variables.
A. Qadir, A.M. Tressé, A.M. Tressé, A.V. Aminova, Asghar Qadir, C. Wafo Soh, E. Fredericks, F. M. Mahomed, F.M. Mahomed, F.M. Mahomed, F.M. Mahomed, F.M. Mahomed, F.M. Mahomed, F.M. Mahomed, F.M. Mahomed, F.M. Mahomed, G. Bluman, G. Bluman, G. Bluman, G. Grebot, M.U. Farooq, N.H. Ibragimov, N.H. Ibragimov, N.H. Ibragimov, Pradeep R. Gladwin, R. Penrose, S. Ali, S. Ali, S. Chandresekhar, S. Kumei, S. Lie, S. Lie, S. Neut, S.S. Chern, S.S. Chern, S.V. Meleshko, T. Feroze, V.K. Chandrasekar   +37 more
core   +3 more sources

The Pontryagin maximum principle from dynamic programming and viscosity solutions to first-order partial differential equations

, 1986
On demontre le principe de maximum de Pontryagin pour le probleme de Lagrange de commande optimale en utilisant le fait que la fonction valeur du probleme est la solution viscosite de l'equation de Hamilton-Jacobi-Bellman ...
E. Barron, R. Jensen
semanticscholar   +1 more source

Targeting the AKT/mTOR pathway attenuates the metastatic potential of colorectal carcinoma circulating tumor cells in a murine xenotransplantation model

Molecular Oncology, EarlyView.
Dual targeting of AKT and mTOR using MK2206 and RAD001 reduces tumor burden in an intracardiac colon cancer circulating tumor cell xenotransplantation model. Analysis of AKT isoform‐specific knockdowns in CTC‐MCC‐41 reveals differentially regulated proteins and phospho‐proteins by liquid chromatography coupled mass spectrometry. Circulating tumor cells
Daniel J. Smit, Thais Pereira‐Veiga, Helena Brauer, Michael Horn, Paula Nissen, Thomas Mair, Bente Siebels, Hannah Voß, Ruimeng Zhuang, Marie‐Therese Haider, Desiree Loreth, Margarita Iskhakova, Bele Lindemann, Julian Kött, Laure Cayrefourcq, Jasmin Wellbrock, Hartmut Schlüter, Klaus Pantel, Catherine Alix‐Panabières, Manfred Jücker   +19 more
wiley   +1 more source

ON CAUCHY PROBLEM FOR FIRST-ORDER PARTIAL DIFFERENTIAL EQUATION AND ITS APPLICATIONS IN INVERSION THEORY

Вестник Донского государственного технического университета, 2018
The inverse coefficient problem for the second-order operator in the simply connected domain with the piecewise-smooth boundary arising in the theory of the deformable system vibrations is investigated.
Alexander Ovanesovich Vatulyan, Lusine Surenovna Gukasyan   +1 more
doaj  

General solutions’ laws of linear partial differential equations I

Partial Differential Equations in Applied Mathematics, 2022
Z2and Z3transformations are proposed for the first time in this paper, combined with the previously proposed Z1transformation, the general solutions of many kinds of n-ary m-order linear partial differential equations (PDEs), including the famous ...
Hong Lai Zhu
doaj  

Index transforms with Weber type kernels

, 2018
New index transforms with Weber type kernels, consisting of products of Bessel functions of the first and second kind are investigated. Mapping properties and inversion formulas are established for these transforms in Lebesgue spaces.
Yakubovich, Semyon
core   +1 more source