Results 1 to 10 of about 56,664 (161)
Bioactive Materials, 2023 Rigidity (or stiffness) of materials and extracellular matrix has proven to be one of the most significant extracellular physicochemical cues that can control diverse cell behaviors, such as contractility, motility, and spreading, and the resultant ...
Jae Hee Park +5 more
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Uniqueness of Nonnegative Matrix Factorizations by Rigidity Theory [PDF]
SIAM Journal on Matrix Analysis and Applications, 2021 Nonnegative matrix factorizations are often encountered in data mining applications where they are used to explain datasets by a small number of parts. For many of these applications it is desirable that there exists a unique nonnegative matrix factorization up to trivial modifications given by scalings and permutations.
Robert Krone, Kaie Kubjas
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Matrix Rigidity from the Viewpoint of Parameterized Complexity [PDF]
SIAM Journal on Discrete Mathematics, 2018 Given an integer \(r>0\), the rigidity of a matrix \(A\) over a field \(\mathbb{F}\), denoted by \(\mathcal{R}^\mathbb{F}_A(r)\), is defined as the minimum Hamming distance between \(A\) and a matrix of rank at most \(r\); in other words, the minimum number of entries in \(A\) which one has to change in order to reduce its rank to at most \(r\).
Saket Saurabh +2 more
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Matrix Rigidity and the Ill-Posedness of Robust PCA and Matrix Completion [PDF]
SIAM Journal on Mathematics of Data Science, 2019 19 pages, 3 ...
Jared Tanner, Simon Vary
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Targeting the Akt–EphA2 axis and cell–cell adhesion enhances anoikis sensitivity in cancer cells [PDF]
Scientific ReportsRigidity sensing enables cells to respond to extracellular matrix stiffness and governs survival and apoptotic decisions. Tropomyosin 2.1 (Tpm2.1), a key actin-binding protein, is frequently downregulated in cancer.
Anat Galis Vivante +3 more
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Linear Algebra and Its Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A Y Alfakih
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Linear Algebra and Its Applications, 2000 Matrix rigidity has been introduced by \textit{L. G. Valiant} [Lect. Notes Comput. Sci. 53, 162-176 (1977; Zbl 0384.68046)] in connection with the complexity theory, namely that of proving nontrivial lower bounds on the length of computations. Valiant suggested that nonlinear lower bounds on the length of programs can be proved by constructing matrices
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Elucidating the Role of Matrix Porosity and Rigidity in Glioblastoma Type IV Progression
Applied Sciences, 2020 The highly infiltrating nature of glioma cells is the major cause for the poor prognosis of brain malignancies. Motility, proliferation, and gene expression of cells in natural and synthetic gels have been analyzed by several authors, yet quantitative ...
Rui C. Pereira +5 more
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Zyxin Is Involved in Fibroblast Rigidity Sensing and Durotaxis
Frontiers in Cell and Developmental Biology, 2021 Focal adhesions (FAs) are specialized structures that enable cells to sense their extracellular matrix rigidity and transmit these signals to the interior of the cells, bringing about actin cytoskeleton reorganization, FA maturation, and cell migration ...
Ai Kia Yip +14 more
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Differential matrix rigidity response in breast cancer cell lines correlates with the tissue tropism. [PDF]
PLoS ONE, 2009 Metastasis to a variety of distant organs, such as lung, brain, bone, and liver, is a leading cause of mortality in the breast cancer patients. The tissue tropism of breast cancer metastasis has been recognized and studied extensively, but the cellular ...
Ana Kostic +2 more
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