Self-organizing Mechanism for Development of Space-filling Neuronal Dendrites
Figure 6
Comparative Analysis of Conditions for Dendritic Pattern Formation and Those for Dot, Stripe, and Reverse-Dot Pattern Generation
(A) Condition of parameters for neuronal branching and Turing condition on a (pe − Amax)-plane. Simulations of the no-compartment model showed that dot, stripe, and reverse-dot domains are mapped to different parameter regions (D, S, and R, respectively); and dotted lines roughly represent boundaries between the domains. Closed circles: dendritic patterns obtained by our cell-compartment model. The fixed parameters were pa = 0.7, pb = 0.8, d = 30.0, ph = 1.0, R = 0.004, and γ = 625. We used Tr = 0.95 (when Amax = 1.0), Tr = 0.85 (when Amax = 0.9), and Tr = 1.0 (otherwise). Total calculation time was 4 × 105 steps.
(B–E) Typical examples in the stripe domain (B,C): pe = 4.0, Amax = 1.1, and Tr = 1.0, and in the reverse-dot domain (D,E): pe = 3.6 and Tr = 0.95. Dendrites (B,D) and the distribution of the activator (C,E) are shown.