Results 131 to 140 of about 1,729,322 (384)

On Coefficient Problems of Solutions of Partial Differential Equations of the Fourth Order [PDF]

, 1957
Erwin Kreyszig
openalex   +1 more source

Chaos in Partial Differential Equations

, 2002
This is a survey on the recent theory of chaos in partial differential equations.
openaire   +3 more sources

Chemoresistome mapping in individual breast cancer patients unravels diversity in dynamic transcriptional adaptation

Molecular Oncology, EarlyView.
This study used longitudinal transcriptomics and gene‐pattern classification to uncover patient‐specific mechanisms of chemotherapy resistance in breast cancer. Findings reveal preexisting drug‐tolerant states in primary tumors and diverse gene rewiring patterns across patients, converging on a few dysregulated functional modules. Despite receiving the
Maya Dadiani, Gilgi Friedlander, Gili Perry, Nora Balint‐Lahat, Shlomit Gilad, Dana Morzaev‐Sulzbach, Anjana Shenoy, Noa Bossel Ben‐Moshe, Anya Pavlovsky, Rinat Bernstein‐Molho, Eytan Domany, Iris Barshack, Tamar Geiger, Bella Kaufman, Einav Nili Gal‐Yam   +14 more
wiley   +1 more source

Stability of an additive-quadratic functional equation in modular spaces

Open Mathematics
Using the direct method, we prove the Hyers-Ulam-Rassias stability of the following functional equation: ϕ(x+y,z+w)+ϕ(x−y,z−w)−2ϕ(x,z)−2ϕ(x,w)=0\phi \left(x+y,z+w)+\phi \left(x-y,z-w)-2\phi \left(x,z)-2\phi \left(x,w)=0 in ρ\rho -complete convex modular ...
Baza Abderrahman, Rossafi Mohamed, Park Choonkil, Donganont Mana   +3 more
doaj   +1 more source

A general theorem concerning linear hyperbolic partial differential equations of second order [PDF]

, 1935
S. K. Zaremba
openalex   +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

Statistical inference for partial differential equations*

ESAIM: Proceedings and Surveys, 2014
Many physical phenomena are modeled by parametrized PDEs. The poor knowledge on the involved parameters is often one of the numerous sources of uncertainties on these models.
Grenier Emmanuel, Hoffmann Marc, Lelièvre Tony, Louvet Violaine, Prieur Clémentine, Rachdi Nabil, Vigneaux Paul   +6 more
doaj   +1 more source

Quantum resonances and partial differential equations

, 2002
Resonances, or scattering poles, are complex numbers which mathematically describe meta-stable states: the real part of a resonance gives the rest energy, and its imaginary part, the rate of decay of a meta-stable state.
Zworski, Maciej
core   +2 more sources

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