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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Hisao Honda,Tatsuzo NagaiPresents 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

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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 described by this model.

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Cells Themselves Produce Force for Active Remodeling,rce for remodeling without other aids. Specifically, convergent extension (CE) of collective cells by contractile force actively elongates cell collectives perpendicular to the orientation of the contraction.

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,Expansion of Shape–Dimension,ht rod bends and loops, which are expansions of shape–dimension, 2D to 3D and 1D to 3D, respectively. These shape–dimension expansions can be recapitulated using vertex dynamics. In this chapter, twisting of wisteria seedpods and left-handed helical looping of embryonic heart tubes are described.

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Mathematical Cell Models and Morphogenesis,ay from genes to shape formation. Furthermore, we noticed the self-construction of cells. Especially for the long-term developmental process, we take into account successive self-organization processes, i.e., the self-construction operations are successively iterated.

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Marcello Balduccinito find ecotypes with extreme winter hardiness. This paper gives results from experiments carried out with some of the timothy populations collected..After testing in dense stand a few of the most promising populations were selected for investigation of genetic variation within populations by growin

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Lawrence P. Horwitzregular) mild solutions, strong solutions, and the global re.This book provides a unified analysis and scheme for the existence and uniqueness of strong and mild solutions to certain fractional kinetic equations. This class of equations is characterized by the presence of a nonlinear time-dependent

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