Table_S1 – Supplemental material for SATB1 promotes epithelial-mesenchymal transition via Notch signaling pathway in colorectal cancer

Supplemental material, Table_S1 for SATB1 promotes epithelial-mesenchymal transition via Notch signaling pathway in colorectal cancer by Jun Tang and Jingfang Yang in European Journal of Inflammation</p

The development of the double-spiral wave is plotted with diversity in coupling intensity being considered.

<p>The coupling intensity for nodes outside the inboard spiral wave is decreased to while the coupling intensity for the nodes in the inserted square() is kept as . (a), (b), (c), (d), no external forcing current is imposed on the network().</p

The development of , vs. collision times when 8-arm spiral wave is induced in the center of the network.

<p>It begins from initial time , initial space bridges 30 nodes in the network along polar axis. The coupling intensity for nodes () is selected as , the other nodes are coupled with intensity , no external forcing current is imposed on the network().</p

It depicts the time series (a) for when coupling intensity for nodes outside of the inboard spiral wave is changed from to .

<p>(b) It depicts the time series for when coupling intensity for nodes inside of the outboard spiral wave is changed from to . No external forcing current is imposed on the network(). The vertical coordinate represents number (difference) of neurons that point ever passed in certain transient period.</p

The evolution of spatiotemporal patterns in the network is plotted under spatial forcing current.

<p>The spatial forcing currents are selected as at ; at , and are imposed on nodes with stochastic distribution in the network, for <i>t</i> = 50 ms(a), <i>t</i> = 100 ms(b), <i>t</i> = 300 ms(c), <i>t</i> = 500 ms(d). The snapshots illustrate the distribution for membrane potentials of neurons in gray scale, the coupling intensity , parameter ration at ; at , the forcing currents on the rest nodes are .</p

The development of , vs. collision times when 8-arm spiral wave is induced in the center of the network.

<p>It begins from initial time , initial space bridges 30 nodes in the network along polar axis. The coupling intensity for all nodes is selected as , no external forcing current is imposed on the network().</p

The development of , vs. collision times (a), the developed 2-arm spiral wave at .

<p>It begins from initial time , initial time , initial space bridges 40 nodes in the network along polar axis. The coupling intensity for nodes () is selected as , the other nodes are coupled with intensity , external forcing current on all nodes is selected as .</p

The diagrammatic sketch (a) for spatial forcing currents on the network.

<p>Spatial forcing currents are imposed on the nodes(two solid black spots and one of the circles) in the network, the developed pattern for <i>t</i> = 200 ms. The snapshot(b) illustrates the distribution for membrane potentials of neurons in gray scale, the coupling intensity , the forcing currents on the rest nodes are .</p

The development of double-spiral wave is plotted in the network.

<p>For (a), (b), (c). Forcing currents on all nodes are , the coupling intensity , time step , and no-flux boundary condition is used. The Fig. 4a is induced by selecting appropriate initial vales with a transient period about 30 ms then the arm of the spiral wave is cut off at . The initial values are selected as follows, at ; at ; at ; otherwise, for the rest nodes.</p

Parameter region in which BLSs are produced.

<p>The values of parameters and are same as in Fig. 2. The value of equals to (a) 0.4 <i>µ</i>M/s; (b) 0.5 <i>µ</i>M/s; (c) 0.8 <i>µ</i>M/s.</p