Image segmentation using active contours: calculus of variations or shape gradients?
We consider the problem of segmenting an image through the minimization of an energy criterion involving region and boundary functionals. We show that one can go from one class to the other by solving Poisson's or Helmholtz'- s equation with well-chosen ...
Faugeras, Olivier +3 more
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CCDC80 suppresses high‐grade serous ovarian cancer migration via negative regulation of B7‐H3
PAX8 is a lineage‐specific master regulator of transcription in high‐grade serous ovarian cancer (HGSC) progression. We show for the first time that PAX8 facilitates proliferation and metastasis by repressing the cell autonomous tumor suppressor CCDC80 and inducing B7‐H3 expression.
Aya Saleh +12 more
wiley +1 more source
The Nontriviality of Trivial General Covariance: How Electrons Restrict 'Time' Coordinates, Spinors (Almost) Fit into Tensor Calculus, and 7/16 of a Tetrad Is Surplus Structure [PDF]
It is a commonplace in the philosophy of physics that any local physical theory can be represented using arbitrary coordinates, simply by using tensor calculus. On the other hand, the physics literature often claims that spinors \emph{as such} cannot be
Pitts, J. Brian, J. Brian Pitts
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Gegenbauer collocation integration methods: advances in computational optimal control theory
The analytic solutions of simple optimal control problems may be found using the classical tools such as the calculus of variations, dynamic programming, or the minimum principle.
Elgindy, Kareem (3802120)
core +1 more source
E2A selectively regulates TGF‐β–induced apoptosis in KRAS‐mutant non‐small cell lung cancer
Ability to induce apoptosis by TGF‐β is frequently lost in advanced lung adenocarcinoma despite intact TGF‐β signaling. We identify E2A as a mutant KRAS–dependent mediator of resistance to TGF‐β–induced apoptosis. TGF‐β induces E2A via SMAD3 in mutant KRAS cells, and E2A silencing restores apoptosis and enhances radiation response in cell lines ...
Sergei Chuikov +3 more
wiley +1 more source
Mathematical Modeling and Computational Methods for Electrostatic Interactions with Application to Biological Molecules [PDF]
In this dissertation, I combine physical modeling, mathematical analysis, and numerical computation to study several problems concerning electrostatic interactions in biological molecular systems.
Wen, Jiayi
core
KDM7A and KDM1A inhibition suppresses tumour promoting pathways in prostate cancer
Treatment resistance is a major challenge for patients with advanced prostate cancer. This study examined an alternative approach to target the major prostate cancer‐promoting pathway by targeting epigenetic factors, whose levels are higher in tumours.
Jennie N Jeyapalan +16 more
wiley +1 more source
Contributions in mathematics and engineering: in honor of Constantin Carathéodory
The contributions in this volume aim to deepen the researcher's understanding of some of the current research problems and theories in modern topics such as calculus of variations, optimization theory, complex analysis, real analysis, differential ...
Rassias, Themistocles, Pardalos, Panos
core +1 more source
EXOSC10, an essential nuclear RNA exosome‐associated 3′‐5′ exoribonuclease, is inhibited by the anticancer drug 5‐fluorouracil (5‐FU), and EXOSC10 depletion increases 5‐FU sensitivity. The colon‐cancer variant EXOSC10S402T, located in a proteolysis motif, is stable and nuclear but nonfunctional in vivo.
Radhika Sain +10 more
wiley +1 more source
Solving Moving Sofa Problem Using Calculus of Variations
In 1966, Leo Moser introduced the moving sofa problem, which seeks to determine the largest area of a shape that can be maneuvered through a 90-degree hallway of unit-width. This problem remains unsolved and open yet.
Deng, Zhipeng
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