Results 71 to 80 of about 307,888 (268)

Plasma lipidomic and metabolomic profiles in high‐grade glioma patients before and after 72‐h presurgery water‐only fasting

Molecular Oncology, EarlyView.
Presurgery 72‐h fasting in GB patients leads to adaptations of plasma lipids and polar metabolites. Fasting reduces lysophosphatidylcholines and increases free fatty acids, shifts triglycerides toward long‐chain TGs and increases branched‐chain amino acids, alpha aminobutyric acid, and uric acid.
Iris Divé, Lisa Hahnefeld, Katharina J. Wenger, Donat Kögel, Joachim Steinbach, Gerd Geisslinger, Michael W. Ronellenfitsch, Irmgard Tegeder   +7 more
wiley   +1 more source

Approximations of solutions to nonlinear Sobolev type evolution equations

Electronic Journal of Differential Equations, 2003
In the present work we study the approximations of solutions to a class of nonlinear Sobolev type evolution equations in a Hilbert space. These equations arise in the analysis of the partial neutral functional differential equations with unbounded delay.
Dhirendra Bahuguna, Reeta Shukla
doaj  

Global mild solutions to the Vlasov-Maxwell-Fokker-Planck system [PDF]

arXiv, 2021
Motivated by Duan et al.[Global Mild Solutions of the Landau and Non-Cutoff Boltzmann Equations, Comm. Pure Appl. Math., 74(5), 932-1020.], the global existence of mild solutions to the Vlasov-Maxwell-Fokker-Planck system near a global Maxwellians with small-amplitude initial data in the function space $L^1_kL^\infty_TL^2_v$ is constructed.
arxiv  

Targeting the MDM2‐MDM4 interaction interface reveals an otherwise therapeutically active wild‐type p53 in colorectal cancer

Molecular Oncology, EarlyView.
This study investigates an alternative approach to reactivating the oncosuppressor p53 in cancer. A short peptide targeting the association of the two p53 inhibitors, MDM2 and MDM4, induces an otherwise therapeutically active p53 with unique features that promote cell death and potentially reduce toxicity towards proliferating nontumor cells.
Sonia Valentini, Giada Mele, Marika Attili, Maria Rita Assenza, Fulvio Saccoccia, Francesca Sardina, Cinzia Rinaldo, Roberto Massari, Nicola Tirelli, Alfredo Pontecorvi, Fabiola Moretti   +10 more
wiley   +1 more source

Quasilinear nonlocal integrodifferential equations in Banach spaces

Electronic Journal of Differential Equations, 2008
In this paper, we study the existence of mild solutions for quasilinear integrodifferential equations with nonlocal conditions in Banach spaces. The results are established by using Hausdorff's measure of noncompactness.
Jin Zhang, Gang Li, Qixiang Dong
doaj  

Global mild solutions of Navier‐Stokes equations [PDF]

Communications on Pure and Applied Mathematics, 2011
AbstractWe establish a global well‐posedness of mild solutions to the three‐dimensional, incompressible Navier‐Stokes equations if the initial data are in the space ${\cal{X}}^{-1}$ defined by \input amssym ${\cal{X}}^{‐1} = \{f \in {\cal{D}}^\prime(R^3): \int_{{\Bbb{R}}^3}|\xi|^{‐1}|\widehat{f}|d\xi < \infty\}$ and if the norms of the initial data ...
Fanghua Lin, Zhen Lei
openaire   +2 more sources

The atypical KRASQ22K mutation directs TGF‐β response towards partial epithelial‐to‐mesenchymal transition in patient‐derived colorectal cancer tumoroids

Molecular Oncology, EarlyView.
TGF‐β has a complex role in cancer, exhibiting both tumor‐suppressive and tumor‐promoting properties. Using a series of differentiated tumoroids, derived from different stages and mutational background of colorectal cancer patients, we replicate this duality of TGF‐β in vitro. Notably, the atypical but highly aggressive KRASQ22K mutation rendered early‐
Theresia Mair, Philip König, Milena Mijović, Jessica Kalla, Anil Baskan, Loan Tran, Kristina Draganić, Pedro Morata Saldaña, Carlos Uziel Pérez Malla, Janette Pfneissl, Andreas Tiefenbacher, Julijan Kabiljo, Velina S. Atanasova, Lisa Wozelka‐Oltjan, Leonhard Müllauer, Michael Bergmann, Raheleh Sheibani‐Tezerji, Gerda Egger   +17 more
wiley   +1 more source

Existence of mild solution to stochastic extended Korteweg - de Vries equation [PDF]

arXiv, 2017
In the paper we consider stochastic Korteweg - de Vries - type equation. We give sufficient conditions for the existence and uniqueness of local mild solution to the equation with additive noise. We discuss possibility of globalization of mild solution, as well.
arxiv  

Estimates for mild solutions to semilinear Cauchy problems

Electronic Journal of Differential Equations, 2014
The existence (and uniqueness) results on mild solutions of the abstract semilinear Cauchy problems in Banach spaces are well known. Following the results of Tartar (2008) and Burazin (2008) in the case of decoupled hyperbolic systems, we give an alternative proof, which enables us to derive an estimate on the mild solution and its time of existence ...
Burazin K., Erceg M.
openaire   +4 more sources

Extremal Mild Solutions of Hilfer Fractional Impulsive Systems

, 2021
The well established monotone iterative technique that is used to study the existence and uniqueness of fractional impulsive system is extended to Hilfer fractional order in this paper. The results are derived by using the method of upper and lower solution and Gronwall inequality.
Raghavan, Divya, Nagarajan, Sukavanam
openaire   +2 more sources