Tissues of animals and plants are maintained through balanced cell growth, movement, and elimination. Although cells are exchanged perpetually,  the whole structure of the tissue is maintained. This form of maintenance is called cell turnover. I proposed a bio-inspired model of patterns that regenerate through turnover. This model is derived from the I Dachsous–Fat I system, which has recently attracted  much attention because it is considered to facilitate regeneration in insect legs. In this model, I parameterize the manner of the redistribution of I Dachsous I and I Fat I during cell division, and then derived equations in the parameters that enable the patterns to regenerate and maintain themselves  through turnover.

Keywords	Mathematical Biology on Regeneration
Faculty , Department	Faculty of Mathematics , Department of Mathematical Sciences