Results 81 to 90 of about 817,111 (369)
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+20 more
wiley +1 more source
Inverse and Direct Problem of the Dynamics of Central Motions [PDF]
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+2 more
doaj
The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions
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
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
The linearization of complex ordinary differential equations is studied by extending Lie's criteria for linearizability to complex functions of complex variables.
A. Qadir+37 more
core +3 more sources
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
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+19 more
wiley +1 more source
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+1 more
doaj
General solutions’ laws of linear partial differential equations I
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
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