Results 61 to 70 of about 12,609 (311)

An existence and uniqueness theorem for the dynamics of flexural shells

Mathematics and mechanics of solids, 2020
In this paper, we define, a priori, a natural two-dimensional model for a time-dependent flexural shell. As expected, this model takes the form of a set of hyperbolic variational equations posed over the space of admissible linearized inextensional ...
Paolo Piersanti
semanticscholar   +1 more source

Modelling stem cell differentiation related processes—A practical overview for biologists

FEBS Letters, EarlyView.
Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar, Xinqi Yan, Lucas F. Jansen Klomp, Stefano Schivo, Janine N. Post   +4 more
wiley   +1 more source

Existence of Square-Mean Almost Automorphic Solutions to Stochastic Functional Integrodifferential Equations in Hilbert Spaces

Abstract and Applied Analysis, 2014
The existence and uniqueness of square-mean almost automorphic mild solution to a stochastic functional integrodifferential equation is studied. Under some appropriate assumptions, the existence and uniqueness of square-mean almost automorphic mild ...
Lijie Li
doaj   +1 more source

Existence and Uniqueness of Mild Solution for Mixed type of Integro-Differential Equation [PDF]

مجلة التربية والعلم, 2018
In this paper, we study the existence and uniqueness of a mild solution of a nonlinear mixed Volterra – Fredholm integro-differential equation with nonlocal condition in Banach space. Furthermore, we study continuouce dependence of mild solution.
Akram H. Mahmood, Sara F. Abdullah
doaj   +1 more source

Design and analysis strategies for robust microbiome ageing research

FEBS Letters, EarlyView.
The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik, İsmail Güderer, Yi Wang, Tayyaba Alvi, Prasoon Pandey, Handan Melike Dönertaş   +5 more
wiley   +1 more source

Existence and uniqueness of the solutions to impulsive nonlinear integro-differential equations with nonlocal boundary conditions

Proceedings of the Institute of Mathematics and Mechanics,National Academy of Sciences of Azerbaijan, 2019
In the paper a system of ordinary impulsive integro-differential equations with nonlocal conditions is studied. At first the boundary value problem is reduced to the equivalent integral equation.
Misir J. Mardanov-Yagub A. Sharifov-Farah M. Zeynalli
semanticscholar   +1 more source

ABL kinase‐dependent phosphorylation of SH proteins promotes their direct interaction with CRK family SH2 domains

FEBS Letters, EarlyView.
CT10 regulator of kinase (CRK) and CRK‐Like (CRKL) are signaling adaptors driving cell adhesion, motility, differentiation, and proliferation. SH2‐domain containing (SH) proteins are enriched in YXXP motifs which when phosphorylated create preferred binding sites for CRK family SH2 domains.
Phoebe M. Cousens, Brendan W. Chandler, Anna M. Schmoker, Jaye L. Weinert, Charlotte A. Kearns, Warren T. Yacawych, Amila Šemić, Alicia M. Ebert, Bryan A. Ballif   +8 more
wiley   +1 more source

Almost-periodic solution for BAM neural networks [PDF]

Surveys in Mathematics and its Applications, 2009
In this paper, we study the existence and uniqueness solution and investigate the conditions that make it almost-periodic solution for BAM neural networks with retarded delays.
Hamid A. Jalab, Rabha W. Ibrahim
doaj  

Investigating transcription factor dynamics in health and disease using FRAP

FEBS Letters, EarlyView.
FRAP analysis of GFP‐tagged transcription factors reveals how molecular mobility and target engagement change in response to drug treatment. By combining live‐cell imaging, quantitative model fitting, and statistical analysis, this approach uncovers transcription factor dynamics linked to disease mechanisms, providing a powerful framework for ...
Kannan Govindaraj, Carolina Vazquez Garzon, Jose Joaquin Velasco, Janine N. Post   +3 more
wiley   +1 more source

Existence and uniqueness of solution for a singular elliptic differential equation

Advances in Nonlinear Analysis
In this article, we are concerned about the existence, uniqueness, and nonexistence of the positive solution for: −Δu−12(x⋅∇u)=μh(x)uq−1+λu−up,x∈RN,u(x)→0,as∣x∣→+∞,\left\{\begin{array}{l}-\Delta u-\frac{1}{2}\left(x\cdot \nabla u)=\mu h\left(x){u}^{q-1}+\
Gu Shanshan, Yang Bianxia, Shao Wenrui
doaj   +1 more source