Results 91 to 100 of about 67,072 (268)
Differential inclusions and exact penalties
The article considers differential inclusion with a given set-valued mapping and initial point. It is required to find a solution of this differential inclusion that minimizes an integral functional.
Alexander V. Fominyh +2 more
doaj
Upper and lower solutions method for Caputo-Hadamard fractional differential inclusions [PDF]
In this paper, we use some background concerning multivalued functions and set-valued analysis, the fixed point theorem of Bohnenblust-Karlin and the method of upper and lower solutions to investigate the existence of solutions for a class of boundary ...
Abbas Saïd +3 more
doaj
On Neutral Paktial Functional-Differential Inclusions Of Hyperbolic Type
This paper gives some sufficient conditions for the existence of solution of an initial value problem \[ z_{xy}(x,y)\in G(x,y,z,z_ x,z_ y,z_{xy}) \qquad \text{for a.e. }(x,y)\in[0,a]\times[0,b], \] \[ z(x,0)=0 \quad \text{for }x\in[0,a], \qquad z(0,y)=0 \quad \text{for }y\in[0,b]. \] The author studies the properties of the set of solutions.
openaire +1 more source
Tau acetylation at K331 has limited impact on tau pathology in vivo
We mapped tau post‐translational modifications in humanized MAPT knock‐in mice and in amyloid‐bearing double knock‐in mice. Acetylation within the repeat domain, particularly around K331, showed modest increases under amyloid pathology. To test functional relevance, we generated MAPTK331Q knock‐in mice.
Shoko Hashimoto +3 more
wiley +1 more source
Structural insights into an engineered feruloyl esterase with improved MHET degrading properties
A feruloyl esterase was engineered to mimic key features of MHETase, enhancing the degradation of PET oligomers. Structural and computational analysis reveal how a point mutation stabilizes the active site and reshapes the binding cleft, expading substrate scope.
Panagiota Karampa +5 more
wiley +1 more source
Monotone solutions for a nonconvex functional differential inclusions of second order
We give sufficient conditions for the existence of a monotone solution for second-order functional differential inclusions. No convexity condition, on the values of the multifunction defining the inclusion, is involved in this construction.
Feryal A. Al-Adsani, Ahmed G. Ibrahim
doaj
Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system
Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
wiley +1 more source
This study reveals a unique active site enriched in methionine residues and demonstrates that these residues play a critical role by stabilizing carbocation intermediates through novel sulfur–cation interactions. Structure‐guided mutagenesis further revealed variants with significantly altered product profiles, enhancing pseudopterosin formation. These
Marion Ringel +13 more
wiley +1 more source
Diversity and complexity in neural organoids
Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
wiley +1 more source
On the existence of mild solutions of semilinear functional differential inclusions
In this paper the existence of local and global mild solution of a semi-linear functional differential inclusion in the case when the kernel is not necessarily compact is proved. Also, some topological properties of the solution set are obtained.
A. G. Ibrahim, A. M. Soliman
doaj

