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Galoisian and qualitative approaches to linear Polyanin-Zaitsev vector fields

open access: yesOpen Mathematics, 2018
In this paper we study a particular parametric family of differential equations, the so-called Linear Polyanin-Zaitsev Vector Field, which has been introduced in a general case in [1] as a correction of a family presented in [2].
Acosta-Humánez Primitivo B.   +2 more
doaj   +1 more source

On a sequence of polynomials

open access: yesJournal of Pure and Applied Algebra, 1997
For any integer \(k\geq 2\) let \(p_k\) be a polynomial defined by \(p_k(X)= (X+1)^k -X^k-1\). It is easy to see that \(p_k\) is divisible by \(X\), \(X(X+1)\), \(X(X^2 +X+1)\) and \(X(X+1)\) \((X^2+ X+1)^2\) if \(k\) is even, \(k\equiv 3\pmod 6\), \(k\equiv 5\pmod 6\) and \(k\equiv 1 \pmod 6\), respectively.
openaire   +3 more sources

On the Derivative of a Polynomial [PDF]

open access: yesProceedings of the American Mathematical Society, 1973
If p ( z ) = Σ v = 0 n a v z v p(z) = \Sigma _{v = 0}^n {{a_v}{z^v}} is a ...
openaire   +2 more sources

Nitric Oxide‐Releasing Catheters with Phenol‐Amine Catalytic Coatings for Improved Anti‐Inflammatory Performance

open access: yesAdvanced Healthcare Materials, EarlyView.
Tannic acid‐selenocystamine (TA‐SeCA) nanocoating enables stable, sustained catalytic nitric oxide (NO) release on catheter surfaces. This one‐step phenol‐amine coating improves catheter functionality by enhancing endogenous NO production, supporting vascular function, and reducing inflammation.
Qingqing Fan   +7 more
wiley   +1 more source

Restricted partitions and convex topologies

open access: yesAIMS Mathematics
Let $ X_{n} $ be a finite set. We consider two types of sequences of restricted partitions of $ X_n $, namely, the number of order consecutive partitions of $ X_{n} $ into $ k $ parts, denoted $ N_{oc}(n, k) $ and the sequence $ T(n, k) $ of the number ...
Moussa Benoumhani
doaj   +1 more source

Si Inhibited Osteoclastogenesis: The Role of Fe and the Fenton Reaction

open access: yesAdvanced Healthcare Materials, EarlyView.
Silicate (Si) inhibition of osteoclastogenesis, is mediated by Fe. Si chemical interactions with Fe inhibit the Fenton reaction and intercellular ROS availability. This reduction in ROS availability inhibits osteoclastogenesis. The addition of Fe, in Si‐inhibited osteoclast cultures, restores the Fenton reaction, and osteoclastogenesis.
Yutong Li   +7 more
wiley   +1 more source

Bone‐Derived dECM Hydrogels Support Tunable Microenvironments for In Vitro Osteogenic Differentiation

open access: yesAdvanced Healthcare Materials, EarlyView.
A tunable methacrylated decellularized bone matrix hydrogel (dECM‐MA) is developed to support 3D culture of human osteoblasts. The hydrogel preserves bone‐specific ECM cues and allows precise control over mechanical properties. This system provides a customizable platform for studying osteogenic differentiation and modeling bone tissue environments for
Minne Dekker   +5 more
wiley   +1 more source

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