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Advanced Science, EarlyView.The 3D culture of human adipose‐derived stem cells (hADSCs) on a crosslinked cyclosiloxane‐based poly‐Z matrix platform enables the formation of spheroid structures enriched with extracellular matrix (ECM). These ECM‐enriched hADSC spheroids cultured on poly‐Z exhibit enhanced differentiation potential, immunomodulatory capacity, and in vivo ...
Changjin Seo +6 more
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Bioenergy Cropping Reduces the Spatiotemporal Scaling of Soil Bacterial Biodiversity
Advanced Science, EarlyView.Consistent with patterns observed in plant and animal communities, soil bacterial communities exhibit significant species–time–area and phylogenetic–time–area relationships independent of nested structure. Bioenergy cropping significantly reduces the spatiotemporal scaling rates, particularly in sandy loam soils.
Zhencheng Ye +19 more
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Autoimmune Encephalitis in Acute Care—Pathology, Diagnosis, and Management
Advanced Science, EarlyView.ABSTRACT Autoimmune encephalitis (AE) is characterized by immune‐mediated inflammation of the brain parenchyma, presenting with various neurological syndromes, including but not limited to seizures, altered consciousness, neuropsychiatric symptoms, and movement disorders.
Suneesh Thilak +9 more
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Linear Sections of Determinantal Varieties
American Journal of Mathematics, 1988The author develops an elegant general approach in order to study a genericity property of determinantal varieties, which has several applications. Regarding a surjective pairing \(\mu:\quad A\otimes B\to C\) of finite dimensional vector spaces over an algebraically closed field as a subspace M of \(Hom(A^*,B)\), the author says that M is k-generic if ...
David Eisenbud
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Decompositions of determinantal varieties
Frontiers of Mathematics in China, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhao, Xu'an, Gao, Hongzhu, Su, Xiaole
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Determinantal varieties and symmetric polynomials
Functional Analysis and Its Applications, 1987The paper is a research announcement of some of the author's recent results concerning degeneracy loci. Let X be a scheme over a field and \(\phi: F\to E\) a morphism of vector bundles over X. For every \(r\geq 0\) the degeneracy locus of rank r associated with \(\phi\) is defined as \(D_ r(\phi)=\{x\in X,\quad rk(\phi (x))\leq r\}.\) In analogy with ...
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Linear sections of determinantal varieties
Theoretical and Natural ScienceDenote Mmn(k) to be the set of all m n matrices over k, and PMmn(k) to be its affine space. Let Dm,n,r PMmn(k) be the subvariety consisting of the projective classes of all m n matrices with rank less than or equal to r. We study the minimal integer k > 0 such that for any linear subspace L of dimension k in PMmn(k), Dm,n,r L = .
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