Results 91 to 100 of about 817,111 (369)

Comparison theorems for infinite systems of differential-functions equations and strongly coupled infinite systems of first order partial differential equations

, 1980
. The first part of the paper deals with an infinite system of weakly coupled (this means that every equation contains deriva tives of only one unknown function) differential-functional equa tions of the form u' x y, u{x,y), u y (i 1, 2, ...) in W = {(x ...
J. Szarski
semanticscholar   +1 more source

Inhibitor of DNA binding‐1 is a key regulator of cancer cell vasculogenic mimicry

Molecular Oncology, EarlyView.
Elevated expression of transcriptional regulator inhibitor of DNA binding 1 (ID1) promoted cancer cell‐mediated vasculogenic mimicry (VM) through regulation of pro‐angiogenic and pro‐cancerous genes (e.g. VE‐cadherin (CDH5), TIE2, MMP9, DKK1). Higher ID1 expression also increased metastases to the lung and the liver.
Emma J. Thompson, Emma L. Dorward, Kristyn Jurrius, Nathalie Nataren, Markus Tondl, Kay K. Myo Min, Michaelia P. Cockshell, Anahita Fouladzadeh, John Toubia, Mark DeNichilo, Delphine Merino, Claudine S. Bonder   +11 more
wiley   +1 more source

Determination of ADP/ATP translocase isoform ratios in malignancy and cellular senescence

Molecular Oncology, EarlyView.
The individual functions of three isoforms exchanging ADP and ATP (ADP/ATP translocases; ANTs) on the mitochondrial membrane remain unclear. We developed a method for quantitatively differentiating highly similar human ANT1, ANT2, and ANT3 using parallel reaction monitoring. This method allowed us to assess changes in translocase levels during cellular
Zuzana Liblova, Dominika Maurencova, Barbora Salovska, Marek Kratky, Tomas Mracek, Zuzana Korandova, Alena Pecinova, Pavla Vasicova, David Rysanek, Ladislav Andera, Ivo Fabrik, Rudolf Kupcik, Pavel Kashmel, Pinky Sultana, Vojtech Tambor, Jiri Bartek, Josef Novak, Marie Vajrychova, Zdenek Hodny   +18 more
wiley   +1 more source

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

Advanced Engineering Research, 2012
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  

Closed-form wave structures of the space-time fractional Hirota–Satsuma coupled KdV equation with nonlinear physical phenomena

Open Physics, 2020
The present paper applies the variation of (G′/G)(G^{\prime} /G)-expansion method on the space-time fractional Hirota–Satsuma coupled KdV equation with applications in physics. We employ the new approach to receive some closed form wave solutions for any
Alam Md Nur, Seadawy Aly R., Baleanu Dumitru   +2 more
doaj   +1 more source

First-order intertwining operators and position-dependent mass Schrodinger equations in d dimensions

, 2005
The problem of d-dimensional Schrodinger equations with a position-dependent mass is analyzed in the framework of first-order intertwining operators.
Alhaidari, Alhaidari, Alhassid, Arias de Saavedra, Bagchi, Bagchi, Bagchi, Bagchi, Bagchi, Barranco, Barut, Bender, Bender, Bender, Bhattarcharjie, C. Quesne, Chen, Cooper, de Souza Dutra, de Souza Dutra, Dekar, Dekar, Dong, Englefield, Erdélyi, Fernández, Gudmundsson, Gönül, Gönül, Gönül, Haymaker, Ioffe, Jones, Kostelecký, Kostelecký, Koç, Koç, Koç, Lévai, Lévai, Milanović, Mostafazadeh, Mostafazadeh, Mostafazadeh, Natanzon, Olendski, Plastino, Plastino, Puente, Pöschl, Quesne, Quesne, Rau, Ring, Roy, Roy, Samani, Scheunert, Serra, Vakarchuk, von Roos, Wu, Yu, Yu   +63 more
core   +1 more source

Strong approximation of monotone stochastic partial differential equations driven by white noise

IMA Journal of Numerical Analysis, 2020
We establish an optimal strong convergence rate of a fully discrete numerical scheme for second-order parabolic stochastic partial differential equations with monotone drifts, including the stochastic Allen–Cahn equation, driven by an additive space ...
Zhihui Liu, Zhonghua Qiao
semanticscholar   +1 more source

Detecting homologous recombination deficiency for breast cancer through integrative analysis of genomic data

Molecular Oncology, EarlyView.
This study develops a semi‐supervised classifier integrating multi‐genomic data (1404 training/5893 validation samples) to improve homologous recombination deficiency (HRD) detection in breast cancer. Our method demonstrates prognostic value and predicts chemotherapy/PARP inhibitor sensitivity in HRD+ tumours.
Rong Zhu, Katherine Eason, Suet‐Feung Chin, Paul A. W. Edwards, Raquel Manzano Garcia, Richard Moulange, Jia Wern Pan, Soo Hwang Teo, Sach Mukherjee, Maurizio Callari, Carlos Caldas, Stephen‐John Sammut, Oscar M. Rueda   +12 more
wiley   +1 more source

Tumor clusters with divergent inflammation and human retroelement expression determine the clinical outcome of patients with serous ovarian cancer

Molecular Oncology, EarlyView.
Analysis of treatment‐naïve high‐grade serous ovarian carcinoma (HGSOC) and control tissues for ERVs, LINE‐1 (L1), inflammation, and immune checkpoints identified five clusters with diverse patient recurrence‐free survivals. An inflammation score was calculated and correlated with retroelement expression, where one novel cluster (Triple‐I) with high ...
Laura Glossner, Markus Eckstein, Christoph Mark, Matthias W. Beckmann, Arndt Hartmann, Pamela L. Strissel, Reiner Strick   +6 more
wiley   +1 more source

Analogue of Newton-Puiseux series for non-holonomic D-modules and factoring

, 2008
We introduce a concept of a fractional-derivatives series and prove that any linear partial differential equation in two independent variables has a fractional-derivatives series solution with coefficients from a differentially closed field of zero ...
Grigoriev, D.
core   +1 more source