Results 61 to 70 of about 5,252,215 (280)

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

On functional differential equations associated to controlled structures with propagation

Electronic Journal of Qualitative Theory of Differential Equations, 2016
The method of integration along the characteristics has turned to be quite fruitful for qualitative analysis of physical and engineering systems described by large classes of partial differential equations of hyperbolic type in the plane (time and one ...
Vladimir Rasvan
doaj   +1 more source

An epithelial GPR35 isoform supports tumor‐associated transcriptional and metabolic phenotypes

FEBS Letters, EarlyView.
GPR35 generates two functionally distinct isoforms with previously unresolved roles. GPR35‐short mediates immune‐cell chemotaxis, while GPR35‐long is enriched in colorectal cancer epithelium, where it supports increased metabolism, proliferation, and tumor‐associated transcriptional programs.
Jørgen D. Rønneberg, Martine Hjeltnes, Josephine Krieger, Joshua E. Elias, Maria Stensland, Kristian Holm, Xiaojun Jiang, Chuki Khangsar, Tuula A. Nyman, Arthur Kaser, Johannes R. Hov, Tom H. Karlsen, Nicole C. Kaneider, Frode L. Jahnsen, Georg Schneditz   +14 more
wiley   +1 more source

On Nonautonomous Functional Differential Equations

Journal of Mathematical Analysis and Applications, 1999
The author investigates the existence of an evolution family for the nonautonomous Cauchy problem \[ x'(t)= A(t) x(t),\quad 0\leq s\leq t\leq T,\quad x(s)= x, \] in a Banach space \(X\). Each \(A(t)\) is a linear operator on \(X\). The following result is obtained: Let \(X\), \(Y\), and \(D\) be Banach spaces, \(D\) densely and continuously imbedded in
openaire   +2 more sources

A STABILITY THEOREM FOR FUNCTIONAL-DIFFERENTIAL EQUATIONS [PDF]

Proceedings of the National Academy of Sciences, 1963
A sufficient condition for the asymptotic stability of the trivial solution of a functional differential system is given which generalizes a result of \textit{J. P. Lasalle} [IRE Trans. Circuit Theory 7, 520--527 (1960), \url{http://dx.doi.org/10.1109/TCT.1960.1086720}]. The result is illustrated by means of an example.
openaire   +2 more sources

Structure‐forward targeting of claudins with synthetic binders

FEBS Letters, EarlyView.
Claudins form the paracellular barriers between epithelial and endothelial tissues at tight junctions and are targets for molecular binders with the goal of modulating barrier permeability. Claudin‐binding molecules are relevant in drug delivery or in altering claudin interactions with disease‐causing proteins.
Alex J. Vecchio
wiley   +1 more source

Stability theory for functional-differential equations [PDF]

Transactions of the American Mathematical Society, 1979
We consider a system of functional differential equations x ′ (
openaire   +2 more sources

Periodic solutions of neutral functional differential equations

, 2023
We provide sufficient conditions for the existence and uniqueness of periodic solutions of a general class of neutral functional differential equations of type [Formula presented] defined almost everywhere in R.
Afonso, S. M. [UNESP], Bonotto, E. M., da Silva, M. R.   +2 more
core   +1 more source

Peripheral lysosomes recruit PLEKHG3 to focal adhesions and restrain protrusion dynamics

FEBS Letters, EarlyView.
Proximity‐dependent labeling at the LAMTOR complex revealed the Rho GEF PLEKHG3 as a lysosome‐proximal protein directing the study toward the influence of lysosome positioning on actin dynamics and cell motility. We show that PLEKHG3 colocalizes with lysosomes at focal adhesion sites and observe that forced peripheral dispersion of lysosomes hinders ...
Rainer Ettelt, Ana‐Maria Sandru, Georg Vucak, Sebastian Didusch, Biljana Riemelmoser, Karin Ehrenreiter, Markus Hartl, Lukas A. Huber, Manuela Baccarini   +8 more
wiley   +1 more source

Bounded and almost periodic solutions and evolution semigroups associated with nonautonomous functional differential equations

Abstract and Applied Analysis, 2000
We study evolution semigroups associated with nonautonomous functional differential equations. In fact, we convert a given functional differential equation to an abstract autonomous evolution equation and then derive a representation theorem for the ...
Bernd Aulbach, Nguyen Van Minh
doaj   +1 more source