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. 2010 Dec 2;6(12):e1001013. doi: 10.1371/journal.pcbi.1001013

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Tetzlaff et al.

This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited.

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(A) Here the hysteresis curve of the mean membrane potential against the mean connectivity described by Equation 10 is displayed together with its possible trajectories (blue). marks the equilibrium or stable point of the network. (B) Hysteresis curve from the simulation. (C) Different representation, which shows that the equilibrium represents a region of fixed points with approximately equal connectivity. The axes represent here axonal supply and dendritic acceptance. Color indicates the calculated average connectivity . Depending on the initial state, the model grows into a fixed point of an omega limit set (yellow circles, region ) lying on a hyperbola (dashed line), thus with approximately equal connectivity . The “bumpy” shape of the hyperbola is due to grid aliasing effects.

Inline graphic — (A) Here the hysteresis curve of the mean membrane potential against the mean connectivity described by Equation 10 is displayed together with its possible trajectories (blue). marks the equilibrium or stable point of the network. (B) Hysteresis curve from the simulation. (C) Different representation, which shows that the equilibrium represents a region of fixed points with approximately equal connectivity. The axes represent here axonal supply and dendritic acceptance. Color indicates the calculated average connectivity . Depending on the initial state, the model grows into a fixed point of an omega limit set (yellow circles, region ) lying on a hyperbola (dashed line), thus with approximately equal connectivity . The “bumpy” shape of the hyperbola is due to grid aliasing effects.