Results 41 to 50 of about 66,753 (329)

Multiscale population dynamics in reproductive biology: singular perturbation reduction in deterministic and stochastic models [PDF]

ESAIM: Proceedings and Surveys, 2020
In this study, we describe different modeling approaches for ovarian follicle population dynamics, based on either ordinary (ODE), partial (PDE) or stochastic (SDE) differential equations, and accounting for interactions between follicles.
Bonnet Celine, Chahour Keltoum, Clément Frédérique, Postel Marie, Yvinec Romain   +4 more
doaj   +1 more source

Effective Equations of Motion for Quantum Systems

, 2005
In many situations, one can approximate the behavior of a quantum system, i.e. a wave function subject to a partial differential equation, by effective classical equations which are ordinary differential equations.
AURELIANO SKIRZEWSKI, Cametti F., MARTIN BOJOWALD, Reed M., Woodhouse N. M. J.   +4 more
core   +2 more sources

Cell wall target fragment discovery using a low‐cost, minimal fragment library

FEBS Letters, EarlyView.
LoCoFrag100 is a fragment library made up of 100 different compounds. Similarity between the fragments is minimized and 10 different fragments are mixed into a single cocktail, which is soaked to protein crystals. These crystals are analysed by X‐ray crystallography, revealing the binding modes of the bound fragment ligands.
Kaizhou Yan, Mathew Stanley, Olawale Raimi, Andrew T. Ferenbach, Helge C Dorfmueller, Daan M. F. van Aalten   +5 more
wiley   +1 more source

On expansions for nonlinear systems Error estimates and convergence issues

Comptes Rendus. Mathématique, 2023
Explicit formulas expressing the solution to non-autonomous differential equations are of great importance in many application domains such as control theory or numerical operator splitting.
Beauchard, Karine, Le Borgne, Jérémy, Marbach, Frédéric   +2 more
doaj   +1 more source

Transcriptional network analysis of PTEN‐protein‐deficient prostate tumors reveals robust stromal reprogramming and signs of senescent paracrine communication

Molecular Oncology, EarlyView.
Combining PTEN protein assessment and transcriptomic profiling of prostate tumors, we uncovered a network enriched in senescence and extracellular matrix (ECM) programs associated with PTEN loss and conserved in a mouse model. We show that PTEN‐deficient cells trigger paracrine remodeling of the surrounding stroma and this information could help ...
Ivana Rondon‐Lorefice, Jose I. Lopez, Aitziber Ugalde‐Olano, Maite Zufiaurre, Ianire Astobiza, Natalia Martin‐Martin, Laura Bozal‐Basterra, Saioa Garcia‐Longarte, Amaia Zabala‐Letona, Sofia Rey, Aida Santos‐Martin, Miguel Unda, Ana Loizaga‐Iriarte, Mariona Graupera, Paolo Nuciforo, Arkaitz Carracedo, Isabel Mendizabal   +16 more
wiley   +1 more source

On the Number of Zeros of Abelian Integrals: A Constructive Solution of the Infinitesimal Hilbert Sixteenth Problem [PDF]

, 2008
We prove that the number of limit cycles generated by a small non-conservative perturbation of a Hamiltonian polynomial vector field on the plane, is bounded by a double exponential of the degree of the fields.
A. Glutsyuk, A. Glutsyuk, A. Glutsyuk, A. Glutsyuk, A. Khovanskiĭ, A. Khovanskiĭ, A.M. Gabrièlov, A.N. Varchenko, C. Christopher, C. Moura, C. Valleé Poussin de la, C.H. Clemens Jr., D. Hilbert, D. Novikov, D. Novikov, D. Novikov, D. Novikov, D. Novikov, D. Novikov, D. Novikov, Dmitry Novikov, E. Brieskorn, E. Looijenga, F. Dumortier, G. Binyamini, G.S. Petrov, G.S. Petrov, Gal Binyamini, H. Żoła̧dek, I.G. Petrovskiĭ, I.G. Petrovskiĭ, I.G. Petrovskiĭ, J. Milnor, J.P. Françoise, L. Gavrilov, L. Gavrilov, L. Gavrilov, L. Gavrilov, M. Bobieński, M. Caubergh, M. Kashiwara, M. Roitman, M.A. Jebrane, P. Mardeš, R. Roussarie, R. Roussarie, S. Basu, S. Basu, S. Yakovenko, S. Yakovenko, S. Yakovenko, S. Yakovenko, S. Yakovenko, Sergei Yakovenko, V.I. Arnold, V.I. Arnold, W. Fulton, Yu. lyashenko, Yu.S. Ilyashenko, Yu.S. Ilyashenko, Yu.S. Ilyashenko, Yu.S. Ilyashenko, Yu.S. Ilyashenko, Yu.S. Ilyashenko, Yu.S. Ilyashenko   +64 more
core   +2 more sources

Perturbations of nonlinear systems of ordinary differential equations

Journal of Mathematical Analysis and Applications, 1984
Along with the n dimensional system (1) \(y'=f(t,y)\) the perturbed system (2) \(x'=f(t,x)+g(t,x)\) is considered. Certain refined assumptions are made about estimates of the fundamental matrix solution of the variational system with respect to a solution of system (1), and about g. (The function g need not be ''small'', it may be sublinear or linear.)
openaire   +2 more sources

Asymptotic analysis of singularly perturbed systems of ordinary differential equations

Computers & Mathematics with Applications, 1991
Untersucht wird ein singulär gestörtes System gewöhnlicher Differentialgleichungen erster Ordnung. Unter umfangreichen und schwer verifizierbaren Voraussetzungen wird für ein solches System ein Lösungsalgorithmus für das Cauchyproblem präsentiert.
Mika, Janus R., Palczewski, Andrzej
openaire   +2 more sources

Colorectal cancer‐derived FGF19 is a metabolically active serum biomarker that exerts enteroendocrine effects on mouse liver

Molecular Oncology, EarlyView.
Meta‐transcriptome analysis identified FGF19 as a peptide enteroendocrine hormone associated with colorectal cancer prognosis. In vivo xenograft models showed release of FGF19 into the blood at levels that correlated with tumor volumes. Tumoral‐FGF19 altered murine liver metabolism through FGFR4, thereby reducing bile acid synthesis and increasing ...
Jordan M. Beardsley, Michael W. Rohr, Joseph A. Goode, Sai Preethi Nakkina, Jignesh G. Parikh, Deborah A. Altomare   +5 more
wiley   +1 more source

Features of Oscillations in Adiabatic Oscillators with Delay

Моделирование и анализ информационных систем, 2013
In this paper, we describe the features of oscillations in adiabatic oscillators when the delay is introduced into the equation. We give a short description of the method of asymptotic integration of one class of linear delay differential systems in the ...
P. N. Nesterov, E. N. Agafonchikov
doaj   +3 more sources