Fig. 4: Propagation of tumor diseases.
From: Patterns of synchronized clusters in adaptive networks
The volume element of tissue is modeled as a 2-layer heterogeneous network composed of N = 200 nodes with adaptive connections. The network is split into Na + 1 clusters (a) by properly selecting the initial conditions: 200 ⋅ r nodes are set as pathological (red circle), 200 ⋅ (1 − r) as healthy (green circles); healthy nodes are split into Na phase clusters. b Two-dimensional phase-diagram in the plane (β, r) displaying the boundary between healthy (leftmost areas) and pathological states (rightmost areas) for different values of Na. c Average parameter \({\bar{\nu }}^{(\ell )}\) vs β for r = 0.07 and the three values of Na examined in panel (b). The behaviour of the network for r = 0.07 and β = 0.55π is reported in (d1-d6) for Na = 6 and in (e1-e6) for Na = 15: raster plots showing the time evolution of the network (d1, d2, e1, e2), phase velocity of the nodes (d3, d4, e3, e4), and snapshots of the entries of the matrix Bl (d5,d6, e5, e6). The panels (d1,d3,d5) and (e1,e3,e5) are related to the parenchyma layer. The panels (d2,d4,d6) and (e2,e4,e6) are related to the immune layer.
