Shun N. Watanabe

Reserc topic

Morophological Developments

As a seed of sunflower grows to sunflower shape, can we make a artificial seed to grow as a shape designated as you like?

Morophological Developments are the term of biology, which means that growing to complicated final shapes from seeds. Cells in a growing organizatation are communiocating each other with signal molecules by diffusion and the communication desides the final shape of the organization. So to speak, this is a application of diffusion type of molecular communication.

A. Turing found that combination of diffusion and chemical reaction can be principle mechanism to deside the final shape and he showed Turing patterns. Reasently, S. Kondo showed that the charactristics of the growing pattern on skin of Angelefish is the same with Turing pattern. The mechanism are called as a Diffusion-Reaction phenomenon. The charactristics are well analyed by mathematics.

Diffusion-reaction phenomenono can develop almost all shapes. However, no one can derive initial state for desired pattern, because the equation of diffusion reaction cannot revise the time.

By analysing the equation using geometory, we have found one of the method to derive a initial condition for desiend shapes. [1]

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