Results 91 to 100 of about 2,042,974 (357)
Unraveling the metastasis‐preventing effect of miR‐200c in vitro and in vivo
Advanced tumors and ineffective cancer treatments can lead to metastases in distant organs. The sole expression of microRNA 200c (miR‐200c) in breast cancer cells is shown to significantly reduce metastasis formation in xenograft mouse models. Various in vitro analyses revealed impeded migratory behavior, upon miR‐200c expression, as one prerequisite ...
Bianca Köhler+12 more
wiley +1 more source
On stochastic differential equations and a generalised Burgers equation [PDF]
In this paper, we discuss a link of Itˆo’s stochastic differential equa- tions to nonlinear partial differential equations of Burgers type. Un- der certain conditions, we derive a generalised Burgers equation from a stochastic differential equation.
Wu, JiangLun, Yang, Wei
core
Stochastic Differential Equations
AbstractWhen a system is acted upon by exterior disturbances, its time-development can often be described by a system of ordinary differential equations, provided that the disturbances are smooth functions. But for sound reasons physicists and engineers usually want the theory to apply when the noises belong to a larger class, including for example ...
openaire +3 more sources
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
Compact integral manifolds of differential systems [PDF]
The boundedness tests for the number of compact integral manifolds of autonomous ordinary differential systems, of autonomous total differential systems, of linear systems of partial differential equations, of Pfaff systems of equations, and of systems of exterior differential equations are proved.
arxiv
We quantified and cultured circulating tumor cells (CTCs) of 62 patients with various cancer types and generated CTC‐derived tumoroid models from two salivary gland cancer patients. Cellular liquid biopsy‐derived information enabled molecular genetic assessment of systemic disease heterogeneity and functional testing for therapy selection in both ...
Nataša Stojanović Gužvić+31 more
wiley +1 more source
On the Oscillation of the Generalized Food-Limited Equations with Delay
The objective of the paper is to find conditions for the oscillation of the food-limited equation. We established conditions for the oscillation of all solutions of the generalized foodlimited equation by transforming the equation to a non-linear delay ...
Bamaina M. Muhammad+2 more
doaj
On the fractional Allee logistic equation in the Caputo sense
In the framework of population models, logistic growth and fractional logistic growth has been analyzed. In some situations the so-called Allee effect gives more accurate approximation.
I. Area, Juan J. Nieto
doaj
Mean-field approximation of counting processes from a differential equation perspective
Deterministic limit of a class of continuous time Markov chains is considered based purely on differential equation techniques. Starting from the linear system of master equations, ordinary differential equations for the moments and a partial ...
Dávid Kunszenti-Kovács, Péter Simon
doaj +1 more source
Adaptive ERK reactivation hinders FLT3 tyrosine kinase inhibitor (TKI) treatment in FLT3/ITD acute myeloid leukemia. Here, we report that FLT3 TKI treatment rapidly induces AXL expression and upregulation that is temporally associated with the adaptive ERK reactivation.
Tessa S. Seale+9 more
wiley +1 more source