Abstract
In the present paper, we propose a mathematical model of cleavage. Cleavage is a process during the early stages of development in which the fertile egg undergoes repeated division keeping the cluster size almost constant. During the cleavage process individual cells repeat cell division in an orderly manner to form a blastula, however, the mechanism which achieves such a coordination is still not very clear. In the present research, we took sea urchin as an example and focused on the diffusion of chemical substances from the animal and vegetal pole. By considering chemotactic motion of the centrosomes, we constructed a mathematical model that describes the processes in the early stages of cleavage.
| Original language | English |
|---|---|
| Pages (from-to) | 84-94 |
| Number of pages | 11 |
| Journal | Journal of Theoretical Biology |
| Volume | 264 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - May 7 2010 |
| Externally published | Yes |
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All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Modelling and Simulation
- Biochemistry, Genetics and Molecular Biology(all)
- Immunology and Microbiology(all)
- Agricultural and Biological Sciences(all)
- Applied Mathematics
Cite this
A mathematical model of cleavage. / Akiyama, Masakazu; Tero, Atsushi; Kobayashi, Ryo.
In: Journal of Theoretical Biology, Vol. 264, No. 1, 07.05.2010, p. 84-94.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A mathematical model of cleavage
AU - Akiyama, Masakazu
AU - Tero, Atsushi
AU - Kobayashi, Ryo
PY - 2010/5/7
Y1 - 2010/5/7
N2 - In the present paper, we propose a mathematical model of cleavage. Cleavage is a process during the early stages of development in which the fertile egg undergoes repeated division keeping the cluster size almost constant. During the cleavage process individual cells repeat cell division in an orderly manner to form a blastula, however, the mechanism which achieves such a coordination is still not very clear. In the present research, we took sea urchin as an example and focused on the diffusion of chemical substances from the animal and vegetal pole. By considering chemotactic motion of the centrosomes, we constructed a mathematical model that describes the processes in the early stages of cleavage.
AB - In the present paper, we propose a mathematical model of cleavage. Cleavage is a process during the early stages of development in which the fertile egg undergoes repeated division keeping the cluster size almost constant. During the cleavage process individual cells repeat cell division in an orderly manner to form a blastula, however, the mechanism which achieves such a coordination is still not very clear. In the present research, we took sea urchin as an example and focused on the diffusion of chemical substances from the animal and vegetal pole. By considering chemotactic motion of the centrosomes, we constructed a mathematical model that describes the processes in the early stages of cleavage.
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UR - http://www.scopus.com/inward/citedby.url?scp=77649234304&partnerID=8YFLogxK
U2 - 10.1016/j.jtbi.2009.12.016
DO - 10.1016/j.jtbi.2009.12.016
M3 - Article
C2 - 20045703
AN - SCOPUS:77649234304
VL - 264
SP - 84
EP - 94
JO - Journal of Theoretical Biology
JF - Journal of Theoretical Biology
SN - 0022-5193
IS - 1
ER -