Results 131 to 140 of about 191,981 (275)

Buffon’s problem determines Gaussian curvature in three geometries

Journal of Applied Probability
AbstractA version of the classical Buffon problem in the plane naturally extends to the setting of any Riemannian surface with constant Gaussian curvature. The Buffon probability determines a Buffon deficit. The relationship between Gaussian curvature and the Buffon deficit is similar to the relationship that the Bertrand–Diguet–Puiseux theorem ...
Abelgas, Aizelle, Carrillo, Bryan, Palacios, John, Weisbart, David, Yassine, Adam M.   +4 more
openaire   +3 more sources

Melt Electrowriting High Resolution Poly(ethylene‐co‐vinyl acetate) Scaffolds for Soft Tissue Engineering

Advanced Healthcare Materials, EarlyView.
This work pioneers melt electrowriting (MEW) of polyethylene vinyl acetate (PEVA) to fabricate ultra‐compliant, high‐resolution scaffolds. By integrating microscale precision with soft tissue‐like biomechanics, PEVA overcomes stiffness‐driven limitations of conventional MEW polymers, establishing a mechanically biomimetic platform for soft tissue ...
Finn Snow, Darcy De Rauch, Lilith Mabel Caballero Aguilar, Darcy Millett, Jasley Wilding McBride, David R Nisbet, Magdalena Kita, Elena Pirogova, Robert Michail Ivan Kapsa, Anita Quigley   +9 more
wiley   +1 more source

ON THE GAUSSIAN CURVATURE FUNCTIONAL IN THE CLASS OF SURFACES OF POSITIVE GAUSSIAN CURVATURE

Mathematical Physics and Computer Simulation
The paper establishes the form of the Gaussian curvature functional defined on the class of infinitely differentiable horizontal surfaces of positive Gaussian curvature. With respect to admissible surfaces, it is assumed that they admit a global semi-geodetic parametrization.
Eugeniy Shcherbakov, Mikhail Shcherbakov
openaire   +1 more source

Patterning of multicomponent elastic shells by gaussian curvature

Physical Review E
Recent findings suggest that shell protein distribution and morphology of bacterial microcompartments regulate the chemical fluxes facilitating reactions which dictate their biological function. We explore how the morphology and component patterning are coupled through the competition of mean and Gaussian bending energies in multicomponent elastic ...
Curt Waltmann, Ahis Shrestha, Monica Olvera de la Cruz   +2 more
openaire   +3 more sources

Diels‐Alder Click Chemistry as a Dynamic‐Covalent Crosslinking Method in Spheroid‐Encapsulating Hydrogels for Cartilage Engineering

Advanced Healthcare Materials, EarlyView.
This research shows the development of hydrogels with Diels‐Alder click chemistry for engineering cartilage‐like tissue. The hydrogels support cartilage spheroids which could be cultured for at least 28 days. Furthermore, the spheroids showed a tendency to fuse together into a more consistent construct, and produced important components needed for ...
Sanne M. van de Looij, Antonia G. Vasilopoulou, Lennard Spauwen, Antoinette van den Dikkenberg, Jasmijn V. Korpershoek, Mylene de Ruijter, Jos Malda, Bas G. P. van Ravensteijn, Tina Vermonden   +8 more
wiley   +1 more source

Copper–Collagen Interactions Regulate the Mechanical and Invasive Properties of Tumor Spheroids

Advanced Healthcare Materials, EarlyView.
Ionic copper is investigated as a modulator of tumor spheroid growth and invasiveness in a 3D microfluidic glioblastoma model. Copper exposure alters metabolic activity, cytoskeletal organization, protrusion dynamics, and EMT‐related phenotypes in a dose‐ and timing‐dependent manner, revealing how copper bioavailability shapes tumor aggressiveness ...
Paula Guerrero‐López, Jose I. Garcia‐Peiro, Felipe Hornos, Jose L. Hueso, Jesus Santamaria, J. Manuel Garcia‐Aznar   +5 more
wiley   +1 more source

Local solvability of degenerate Monge-Ampere equations and applications to geometry

Electronic Journal of Differential Equations, 2007
We consider two natural problems arising in geometry which are equivalent to the local solvability of specific equations of Monge-Ampere type. These are: the problem of locally prescribed Gaussian curvature for surfaces in $mathbb{R}^{3}$, and the local
Marcus A. Khuri
doaj  

Flattened bispectrum of the scalar-induced gravitational waves

European Physical Journal C: Particles and Fields
Recent pulsar timing array collaborations have reported evidence of the stochastic gravitational wave background. The gravitational waves induced by primordial curvature perturbations, referred to as scalar-induced gravitational waves (SIGWs), could ...
Qing-Hua Zhu
doaj   +1 more source

Nanobody‐Conjugated Theranostic Prodrug Targeting αvβ3 Integrin Enables Precision Cancer Therapy With Real‐Time Imaging

Advanced Healthcare Materials, EarlyView.
The image shows a schematic form a nanobody‐conjugated theranostic prodrug (NBD) platform targeting tumor‐associated αvβ3 integrin. The NBD system integrates selective nanobody‐mediated tumor recognition, glutathione‐responsive disulfide cleavage for doxorubicin release, and aza‐BODIPY‐based near‐infrared fluorescence for real‐time imaging.
Sanu Karan, Hyunseung Lee, Rema Naskar, Mi Young Cho, Hye Sun Park, Eun Hee Han, Soumyadip Hore, Sun Hee Cho, Truc Ngoc Kim Lam, Taewoong Son, Tae Jung Park, Inkyu Hwang, Jonathan L. Sessler, Kwan Soo Hong   +13 more
wiley   +1 more source

A New 3D Colon on a Chip to Decipher the Influence of Mechanical Forces on the Physiological Cellular Ecosystem

Advanced Healthcare Materials, EarlyView.
To dissect how mechanical forces influence intestinal physiology, we developed a stretchable 3D colon‐on‐chip that integrates tunable topography, stiffness and peristalsis‐like motion within a physiologically relevant microenvironment. We showed that stretching is a dominant factor governing epithelial behavior, markedly enhancing proliferation and ...
Moencopi Bernheim‐Dennery, Lauriane Gérémie, Julie Brun, Lucas Chassatte, Giacomo Gropplero, Réda Bouras, Jieun Choo, Bertrand Cinquin, Alba Marcellan, Danijela Matic Vignjevic, Stéphanie Descroix   +10 more
wiley   +1 more source