Pattern formation of reaction-diffusion system having self-determined flow in the amoeboid organism of Physarum plasmodium

Details Pattern formation of reaction-diffusion system having self-determined flow in the amoeboid organism of Physarum plasmodium Pattern formation of reaction-diffusion system having self-determined flow in the amoeboid organism of Physarum plasmodium

1998-05-18

arxiv.org/abs/patt-sol/9805004v1

Nonlinear Sciences

Pattern Formation and Solitons

REVTeX, one column, 7 pages, no figure

Scientific paper

10.1103/PhysRevE.59.1009

The amoeboid organism, the plasmodium of Physarum polycephalum, behaves on the basis of spatio-temporal pattern formation by local contraction-oscillators. This biological system can be regarded as a reaction-diffusion system which has spatial interaction by active flow of protoplasmic sol in the cell. Paying attention to the physiological evidence that the flow is determined by contraction pattern in the plasmodium, a reaction-diffusion system having self-determined flow arises. Such a coupling of reaction-diffusion-advection is a characteristic of the biological system, and is expected to relate with control mechanism of amoeboid behaviours. Hence, we have studied effects of the self-determined flow on pattern formation of simple reaction-diffusion systems. By weakly nonlinear analysis near a trivial solution, the envelope dynamics follows the complex Ginzburg-Landau type equation just after bifurcation occurs at finite wave number. The flow term affects the nonlinear term of the equation through the critical wave number squared. Contrary to this, wave number isn't explicitly effective with lack of flow or constant flow. Thus, spatial size of pattern is especially important for regulating pattern formation in the plasmodium. On the other hand, the flow term is negligible in the vicinity of bifurcation at infinitely small wave number, and therefore the pattern formation by simple reaction-diffusion will also hold. A physiological role of pattern formation as above is discussed.

Affiliated with

Also associated with

No associations

Rating

Pattern formation of reaction-diffusion system having self-determined flow in the amoeboid organism of Physarum plasmodium does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Pattern formation of reaction-diffusion system having self-determined flow in the amoeboid organism of Physarum plasmodium, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pattern formation of reaction-diffusion system having self-determined flow in the amoeboid organism of Physarum plasmodium will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-628624