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Titlebook: Mathematical Models of Cell-Based Morphogenesis; Passive and Active R Hisao Honda,Tatsuzo Nagai Book 2022 The Editor(s) (if applicable) and

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书目名称Mathematical Models of Cell-Based Morphogenesis
副标题Passive and Active R
编辑Hisao Honda,Tatsuzo Nagai
视频video
概述Presents the advances in the understanding of pathways from genes to morphogenesis.Demonstrates how to apply mathematical methods such as vertex dynamics to novel biological fields.Examines the relati
丛书名称Theoretical Biology
图书封面Titlebook: Mathematical Models of Cell-Based Morphogenesis; Passive and Active R Hisao Honda,Tatsuzo Nagai Book 2022 The Editor(s) (if applicable) and
描述This book describes the shape formation of living organisms using mathematical models. Genes are deeply related to the shape of living organisms, and elucidation of a pathway of shape formation from genes is one of the fundamental problems in biology. Mathematical cell models are indispensable tools to elucidate this problem.  .The book introduces two mathematical cell models, the cell center model and the vertex model, with their applications. The cell center model is applied to elucidate the formation of neat cell arrangements in epidermis, cell patterns consisting of heterogeneous-sized cells, capillary networks, and the branching patterns of blood vessels. The vertex model is applied to elucidate the wound healing mechanisms of the epithelium and ordered pattern formation involving apoptosis. Pattern formation with differential cell adhesion is also described. The vertex model is then extended from a two-dimensional (2D) to a three-dimensional (3D) model. A cell aggregate involving a large cavity is described to explain the development of the mammalian blastocyst or the formation of an epithelial vesicle. Epithelial tissues and the polarity formation process of the epithelium a
出版日期Book 2022
关键词morphogenesis; remodeling; mathematical cell models; vertex cell dynamics; epithelium; shape of organ; sig
版次1
doihttps://doi.org/10.1007/978-981-19-2916-8
isbn_softcover978-981-19-2918-2
isbn_ebook978-981-19-2916-8Series ISSN 2522-0438 Series E-ISSN 2522-0446
issn_series 2522-0438
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor
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2522-0438 involving a large cavity is described to explain the development of the mammalian blastocyst or the formation of an epithelial vesicle. Epithelial tissues and the polarity formation process of the epithelium a978-981-19-2918-2978-981-19-2916-8Series ISSN 2522-0438 Series E-ISSN 2522-0446
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2522-0438 rtex dynamics to novel biological fields.Examines the relatiThis book describes the shape formation of living organisms using mathematical models. Genes are deeply related to the shape of living organisms, and elucidation of a pathway of shape formation from genes is one of the fundamental problems
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Book 2022elucidation of a pathway of shape formation from genes is one of the fundamental problems in biology. Mathematical cell models are indispensable tools to elucidate this problem.  .The book introduces two mathematical cell models, the cell center model and the vertex model, with their applications. T
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Cell Center Model, is a one-to-one correspondence between cells and cell centers. Actual cell patterns are approximated by the cell center model, in which the discrepancy between the model and real patterns is quantitatively estimated. Cell proliferation and cell disappearance behaviors (cell loss and apoptosis) are
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