In this explorative biomarker analysis, we assessed serial sampling of circulating tumor cells (CTCs) with CellSearch in two randomized trials testing immune checkpoint inhibitors (ICIs) in metastatic breast cancer. Our data demonstrate a prognostic potential of CTCs, most apparent 4 weeks into ICI therapy.
Nikolai Kragøe Andresen+13 more
wiley +1 more source
Inequalities for fractional differential equations [PDF]
We consider some differential inequalities involving fractional derivatives in the sense of Riemann-Liouville. Bounds for theses fractional differential inequalities are found using desingularization techniques combined with some generalizations of Bihari-type inequalities. Some applications illustrating the usefulness of our results are also provided.
N. E. T Atar+2 more
openaire +1 more source
Oscillation of solutions to nonlinear forced fractional differential equations
In this article, we study the oscillation of solutions to a nonlinear forced fractional differential equation. The fractional derivative is defined in the sense of the modified Riemann-Liouville derivative.
Qinghua Feng, Fanwei Meng
doaj
Homotopy Analysis Method for Three Types of Fractional Partial Differential Equations
In this paper, three types of fractional order partial differential equations, including the fractional Cauchy–Riemann equation, fractional acoustic wave equation, and two-dimensional space partial differential equation with time-fractional-order, are ...
Haidong Qu, Zihang She, Xuan Liu
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Analytical solution with tanh-method and fractional sub-equation method for non-linear partial differential equations and corresponding fractional differential equation composed with Jumarie fractional derivative [PDF]
The solution of non-linear differential equation, non-linear partial differential equation and non-linear fractional differential equation is current research in Applied Science. Here tanh-method and Fractional Sub-Equation methods are used to solve three non-linear differential equations and the corresponding fractional differential equation.
arxiv
A comparative study of circulating tumor cell isolation and enumeration technologies in lung cancer
Lung cancer cells were spiked into donor blood to evaluate the recovery rates of the following circulating tumor cell (CTC) enrichment technologies: CellMag™, EasySep™, RosetteSep™, Parsortix® PR1, and Parsortix® Prototype systems. Each method's advantages and disadvantages are described.
Volga M Saini+11 more
wiley +1 more source
Existence, Uniqueness and Stability Theorems for Certain Functional Fractional Initial Value Problem [PDF]
In this paper, we deal with non-linear functional fractional differential equation with initial condition in space. We will study the existence, uniqueness and stability of the solution of fractional differential equation.
Joseph Abulahad, Shayma Murad
doaj +1 more source
This study demonstrates that KRAS and GNAS mutations are more prevalent in patients with resected intraductal papillary mucinous neoplasms (IPMN) compared to those under clinical surveillance. GNAS mutations significantly differ between the two patient cohorts, indicating that their absence may serve as a potential biomarker to support conservative ...
Christine Nitschke+12 more
wiley +1 more source
Singular fractional differential equations [PDF]
AbstractFractional differential equations have received increasing attention during recent years since the behavior of many physical systems can be properly described using the fractional order system theory.By fractional analog for Duhamel principle we give the existence‐uniqueness result for linear and nonlinear time fractional evolution equations ...
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ON THE FRACTIONAL RICCATI DIFFERENTIAL EQUATION [PDF]
In this paper, We tried to find an analytical solution of nonlinear Riccati con- formable fractional differential equation. Fractional derivatives are described in the con- formable derivative. The behavior of the solutions and the effects of different values of frac- tional orderare presented graphically and table.
Mehmet Merdan, Tahir Khaniyev
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