Results 131 to 140 of about 892,665 (298)

Planar graph is on fire

open access: yesTheoretical Computer Science, 2015
Let $G$ be any connected graph on $n$ vertices, $n \ge 2.$ Let $k$ be any positive integer. Suppose that a fire breaks out on some vertex of $G.$ Then in each turn $k$ firefighters can protect vertices of $G$ --- each can protect one vertex not yet on fire; Next a fire spreads to all unprotected neighbours.
openaire   +5 more sources

Cellular Responses to Mechanical Cues Across Scales: From Fundamental Insights to Translational Potential

open access: yesAdvanced Healthcare Materials, EarlyView.
This review examines how cellular behavior is regulated by mechanical cues transmitted through soft biomaterials, from single‐cell mechanosensing to tissue‐level adaptation. It highlights why physiological relevance, rather than model complexity alone, is critical for translational mechanobiology and introduces a scoring framework linking material ...
Mathias Polz   +9 more
wiley   +1 more source

Engineered Microvascular Model of the Blood–Brain–Tumor Barrier Reveals Endothelial Remodeling in Diffuse Midline Glioma

open access: yesAdvanced Healthcare Materials, EarlyView.
We developed a patient‐derived, functional microfluidic model of the diffuse midline glioma (DMG) blood–brain–tumor barrier (BBTB) comprised of endothelial cells, astrocytes, pericytes, and tumor cells. The system forms perfusable microvasculature, reveals the BBTB retains vascular integrity, identifies DMG‐specific transcriptomic changes distinct from
Kimberly R. Bennett   +7 more
wiley   +1 more source

Planar Graphs [PDF]

open access: yesFundamenta Mathematicae, 1933
openaire   +2 more sources

Choosability of planar graphs

open access: yesDiscrete Mathematics, 1996
We say the graph \(G= (V, E)\) is \(k\)-choosable if there is at least one \(L\)-list colouring for every possible list assignment \(L\) with \(|L(v)|= k\) for all \(v\in V\). \(G\) is called free \(k\)-choosable if such an \(L\)-list colouring exists for every list assignment \(L\), every vertex \(v\) and every colour \(f\in L(v)\).
openaire   +2 more sources

Inhibition of VEGF‐Induced Angiogenesis and Vascular Leakage by Bicistronic Co‐Expression of Aflibercept and COMP‐Ang1

open access: yesAdvanced Healthcare Materials, EarlyView.
A bicistronic rAAV8 vector encoding Aflibercept (Afb) and COMP‐cAng1 simultaneously coordinates VEGF clearance and Tie2‐mediated vessel maturation. In a 3D angiogenesis‐on‐a‐chip model, rAAV8‐Afb/cAng1 effectively reverses pathological barrier breakdown under clinical disease‐mimicking challenges.
Bong‐Kyu Kim   +9 more
wiley   +1 more source

Upward Embeddings and Orientations of Undirected Planar Graphs

open access: yes, 2003
An upward embedding of an embedded planar graph specifies, for each vertex v, which edges are incident on v "above" or "below" and, in turn, induces an upward orientation of the edges from bottom to top.
Pizzonia M.   +3 more
core   +1 more source

Biphasic Co‐Delivery of Curcumin and 5‐FU using 3D‐Printed Dissolving Microneedles for Skin Cancer Therapy

open access: yesAdvanced Healthcare Materials, EarlyView.
Using pixel‐aware digital light processing, the authors created high‐resolution, dissolvable microneedles from a PEGDA/VP matrix. These microneedles encapsulate curcumin and 5‐fluorouracil and dissolve in the skin, co‐delivering drugs directly to tumours.
Rutuja N. Meshram, Dimitrios A. Lamprou
wiley   +1 more source

F-Planar graphs

open access: yesJournal of Combinatorial Theory, Series B, 1973
AbstractAn F-planar graph, where F is an ordered field, is a graph that can be represented in the plane F × F, with non-crossing line segments as edges. It is shown that the graph G is F-planar for some F if and only if every finite subgraph of G is planar.
openaire   +2 more sources

Multiwavelength Implantable Oximeter for Wireless Monitoring of Tissue Oxygenation in the Presence of Blood Volume Changes

open access: yesAdvanced Healthcare Materials, EarlyView.
This study presents an implantable, wireless, battery‐free oximeter that can continuously monitor physiologically consistent regional tissue oxygenation under dynamic changes of blood volume. This is achieved through multiwavelength photoplethysmography and validated both via Monte Carlo simulations and in vivo rat studies. Different stress events were
Anat Usatinsky   +12 more
wiley   +1 more source

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