Self-organizing Mechanism for Development of Space-filling Neuronal Dendrites
Figure 4
Typical Changes of u and v at the Tips of Branches
(A,B) Representative data of the values of u and v were indicated on the phase plane, where direction of dynamics and null-cline of u and v are also shown (“A” for the cell of Figure 3A and “B” for that of Figure 3D). The data is sampled in every grid from the branch terminals. v increases linearly with u from the cell boundary to the interior of the cell. Solid lines and dashed lines represent f(u,v) = 0 and g(u,v) = 0, respectively. We have found that an elongation speed is about twice slower in rugged dendrites than in well-aligned ones (compare Videos S1 and S3). The difference in the positioning of the u − v values relative to the isoclines may potentially explain the difference in a velocity of pattern formation (our unpublished data).