1999
DOI: 10.2108/zsj.16.341
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Cell Numbers in the Gut of the Embryo of the Sea Urchin Hemicentrotus pulcherrimus

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Cited by 6 publications
(16 citation statements)
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“…The following assumptions were made: 1) each cell was represented by 16 particles with radii (r) of 1.125 µm, and each embryo was represented by 64 cells connected in a ring (Fig. S7); 2) each cell perimeter was 36 µm and the height and width of the embryo at step 1 were 110 and 100 µm, respectively, which was consistent with sea urchin embryo observations (results not shown); 3) the number of cells was constant because cell divisions and cell invasions from other cross-sections were rarely observed during the primary invagination stage [33]; 4) the motion of each particle obeyed the overdamped limit of the equation (1) of motion,…”
Section: Mathematical Model Of Sea Urchin Embryossupporting
confidence: 83%
See 1 more Smart Citation
“…The following assumptions were made: 1) each cell was represented by 16 particles with radii (r) of 1.125 µm, and each embryo was represented by 64 cells connected in a ring (Fig. S7); 2) each cell perimeter was 36 µm and the height and width of the embryo at step 1 were 110 and 100 µm, respectively, which was consistent with sea urchin embryo observations (results not shown); 3) the number of cells was constant because cell divisions and cell invasions from other cross-sections were rarely observed during the primary invagination stage [33]; 4) the motion of each particle obeyed the overdamped limit of the equation (1) of motion,…”
Section: Mathematical Model Of Sea Urchin Embryossupporting
confidence: 83%
“…5a). III) Cell divisions and three-dimensional mutual cell invasions mainly contributing to late gastrulation were not included because these processes were rarely observed in early gastrulation [33]. Therefore, the present model described embryo shape dynamics of the control and inhibited embryos introducing two-dimensional motions and deformations of the apical and basal sides in 64 cells (Fig.…”
Section: Mathematical Model Of Embryonic Shape Formations In Early Gastrulation Considering Cell-dependent F-actin Polaritymentioning
confidence: 99%
“…This difference has influenced scientists to study a more experimentally accessible target. In addition, later stage embryos have more cells (Mizoguchi ), and there are fewer neural cells than endomesodermal cells, making it difficult to collect material such as RNA or protein specifically from the neural cells. To overcome these disadvantages, although the ratio of neural cell number may be invariable within each species of sea urchin, we sought to establish a new model urchin with faster growth during embryogenesis.…”
Section: Introductionmentioning
confidence: 99%
“…2) Each cell perimeter was 36 μm and the height and width of the embryo at step 1 was 110 μm and 100 μm, respectively, which was consistent with sea urchin embryo observations (results not shown). 3) The number of cells was constant because cell divisions and cell invasions from other cross-sections were rarely observed during the primary invagination stage (Mizoguchi, 1999). 4) The motion of each particle obeyed the following overdamped limit of the equation of motion: where X i , j = ( x i,j ( t ), y i,j ( t )) is the position of the j -th particle constructing the i -th cell ( i = 0,1,2…63 and j = 0,1,2…15) on the x‒y plane at time t (Fig.…”
Section: Methodsmentioning
confidence: 99%