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Topology and Local Geometry of the Eden Model

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Bibliographic Details
Main Authors: Fedor, Manin, Érika, Roldán, Benjamin, Schweinhart
Format: Book
Language:Vietnamese
Published: Springer 2023
Subjects:
The Eden cell growth model
Betti numbers
Online Access:https://link.springer.com/article/10.1007/s00454-022-00474-w
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7415
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spelling oai:localhost:PNK-74152023-04-03T02:50:17Z Topology and Local Geometry of the Eden Model Fedor, Manin Érika, Roldán Benjamin, Schweinhart The Eden cell growth model Betti numbers CC BY The Eden cell growth model is a simple discrete stochastic process which produces a “blob” (aggregation of cells) in Rd: start with one cube in the regular grid, and at each time step add a neighboring cube uniformly at random. This process has been used as a model for the growth of aggregations, tumors, and bacterial colonies and the healing of wounds, among other natural processes. Here, we study the topology and local geometry of the resulting structure, establishing asymptotic bounds for Betti numbers. 2023-04-03T02:50:17Z 2023-04-03T02:50:17Z 2023 Book https://link.springer.com/article/10.1007/s00454-022-00474-w https://dlib.phenikaa-uni.edu.vn/handle/PNK/7415 vi application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language Vietnamese
topic The Eden cell growth model
Betti numbers
spellingShingle The Eden cell growth model
Betti numbers
Fedor, Manin
Érika, Roldán
Benjamin, Schweinhart
Topology and Local Geometry of the Eden Model
description CC BY
format Book
author Fedor, Manin
Érika, Roldán
Benjamin, Schweinhart
author_facet Fedor, Manin
Érika, Roldán
Benjamin, Schweinhart
author_sort Fedor, Manin
title Topology and Local Geometry of the Eden Model
title_short Topology and Local Geometry of the Eden Model
title_full Topology and Local Geometry of the Eden Model
title_fullStr Topology and Local Geometry of the Eden Model
title_full_unstemmed Topology and Local Geometry of the Eden Model
title_sort topology and local geometry of the eden model
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s00454-022-00474-w
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7415
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score 8.891145

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