Department of Mathematical and Life Sciences, Hiroshima University, Higashi Hiroshima 739-8526, Japan.
J Theor Biol. 2010 May 7;264(1):84-94. doi: 10.1016/j.jtbi.2009.12.016. Epub 2010 Jan 4.
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.
在本文中，我们提出了一个卵裂的数学模型。卵裂是胚胎发育早期的一个过程，在此过程中，受精卵反复分裂，使卵裂球的大小基本保持不变。在卵裂过程中，单个细胞以有序的方式重复细胞分裂，形成囊胚，但实现这种协调的机制尚不清楚。在本研究中，我们以海胆为例，重点研究了从动物极和植物极扩散的化学物质。通过考虑中心体的趋化运动，我们构建了一个描述早期卵裂过程的数学模型。
