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Amit Patel

Researcher at Colorado State University

Publications -  34
Citations -  893

Amit Patel is an academic researcher from Colorado State University. The author has contributed to research in topics: Persistent homology & Homology (mathematics). The author has an hindex of 13, co-authored 30 publications receiving 757 citations. Previous affiliations of Amit Patel include Duke University & University of North Carolina at Chapel Hill.

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Herpes Simplex Virus Type 1 Induction of Persistent NF-κB Nuclear Translocation Increases the Efficiency of Virus Replication

TL;DR: Evidence is presented that beginning at around 6 h postinfection, herpes simplex virus (HSV) induces a persistent translocation of NF-κB into the nucleus of C33 cells, coincident with loss of both IκBα and IkkBβ.
Proceedings ArticleDOI

Reeb spaces of piecewise linear mappings

TL;DR: The local and global structure of the Reeb space of a multivariate continuous mapping identifies points of the domain that belong to a common component of the preimage of a point in the range.
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Categorified Reeb Graphs

TL;DR: In this paper, the authors exploit the fact that the Reeb graph is equivalent to the category of a particular class of cosheaf and define an ''interleaving' distance between Reeb graphs which is stable under the perturbation of a function.
Journal ArticleDOI

Categorified Reeb Graphs

TL;DR: In this article, the authors exploit the fact that the Reeb graph is equivalent to the category of a particular class of cosheaf and define an ''interleaving' distance between Reeb graphs which is stable under the perturbation of a function.
Journal ArticleDOI

Homology and robustness of level and interlevel sets

TL;DR: In this paper, the robustness of the homology classes under perturbations of a continuous function was quantified using well groups, and the ranks of these groups from the same extended persistence diagram were shown.