Results 31 to 40 of about 6,620 (262)

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

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

Singularly perturbed ordinary differential equations

Journal of Mathematical Analysis and Applications, 1992
Consider abstract nonlinear equations of the form (*) \(Lu+\varepsilon F(u,v)=0\), \(S(v)+\varepsilon V(u,v)=0\) where \(L\) is linear, \(\varepsilon\) is a small parameter. By using the coincidence degree the author derives conditions on the operators such that (*) has a solution.
openaire   +1 more source

Smaller is better: nanobodies meet NMR

FEBS Letters, EarlyView.
Nanobodies are single‐domain antigen‐binding fragments derived from camelid heavy chain antibodies. Their small size, high stability, and exceptional specificity make nanobodies uniquely useful probes for NMR studies of protein dynamics, transient conformational states, and protein–protein interactions.
Oleg Y. Dmitriev
wiley   +1 more source

Soft motions encoded by the fold and mediated by conserved hinge sites drive V‐ATPase allosteric machinery and autoinhibition

FEBS Letters, EarlyView.
Vacuolar H+‐ATPase (V‐ATPase) is a multisubunit rotary proton pump that acidifies intracellular compartments. Using elastic network models, we identified conserved hinge residues that govern its large‐scale functional motions. We show that intrinsically encoded ‘soft modes’ drive critical functional transitions, including rotary catalysis and ...
Diksha Parwana, Xiaowei Bogetti, Stuti Sharma, Ivet Bahar   +3 more
wiley   +1 more source

On Robust Stability of Differential-Algebraic Equations with Structured Uncertainty

Известия Иркутского государственного университета: Серия "Математика", 2018
We consider a linear time-invariant system of differential-algebraic equations (DAE), which can be written as a system of ordinary differential equations with non-invertible coefficients matrices.
A. Kononov
doaj   +1 more source

Spatial and single‐nuclei transcriptomics reveals idiosyncratic and generic patterns in papillary and anaplastic thyroid cancers

Molecular Oncology, EarlyView.
Matched spatial transcriptomics and single‐nuclei RNA‐seq were generated for anaplastic and BRAFV600E papillary thyroid cancers revealing generic and tumor‐specific states occurring in cancer cells and in the tumor microenvironment. In this context, cancer dedifferentiation mirrored organoid maturation through ordered thyroid marker gain/loss ...
Adrien Tourneur, Joel Rodrigues Vitória, Manuel Saiselet, Ligia Craciun, Denis Larsimont, Anne Lefort, Frédérick Libert, Carine Maenhaut, Sabine Costagliola, Maxime Tarabichi, Mirian Romitti, Vincent Detours   +11 more
wiley   +1 more source

Bifurcation of multi-bump homoclinics in systems with normal and slow variables

Electronic Journal of Differential Equations, 2000
Bifurcation of multi-bump homoclinics is studied for a pair of ordinary differential equations with periodic perturbations when the first unperturbed equation has a manifold of homoclinic solutions and the second unperturbed equation is vanishing.
Michal Feckan
doaj  

Stability of solutions for systems of delayed parabolic equations

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2023
Background. The study is devoted to the analysis of stability in the sense Lyapunov steady state solutions for systems of linear parabolic equations with coefficients depending on time, and with delays depending on time.
Il'ya V. Boykov
doaj   +1 more source

Regulation of the lncRNA NEAT1 by p53‐ΔNp63 crosstalk modulates the DNA damage response and therapeutic efficacy in HNSCC

Molecular Oncology, EarlyView.
In head and neck squamous cell carcinoma (HNSCC) p53 and p63 exert opposite roles on the transcription regulation of the lncRNA NEAT1. Under basal conditions, p53 levels are low and p63 represses NEAT1 expression. Upon genotoxic stress, p53 is rapidly induced, displacing p63 from the NEAT1 promoter leading to NEAT1 transcriptional activation and ...
Sara De Domenico, Veronica La Banca, Silvia D'Amico, Stefano Scalera, Sara Nicolai, Angelo Peschiaroli   +5 more
wiley   +1 more source