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Figure 8 | Theoretical Biology and Medical Modelling

Figure 8

From: A mathematical model of dysfunction of the thalamo-cortical loop in schizophrenia

Figure 8

Coupling parameter dependence for three populations. Left: maximum SLI and frequency of the θ-population ( ω ~ C 1 =3 Hz; top two) and the α-population ( ω ~ C 1 =14 Hz; bottom two) as functions of the coupling parameters K C 2 and K C 1 . Right: enlargement of the marked areas. The points in the corresponding left panels C ( K C 2 =3.9, K C 1 =1.2) and P ( K C 2 =3.2, K C 1 =1.2) mark parameter choices that yield the max SLIs and frequencies observed in healthy subjects (controls) and schizophrenia patients, repectively. The coupling parameters from the thalamus ( ω ~ T =7 Hz) to the cortex are fixed at K T 1 =5.5 and K T 2 =7.0. Solid curves mark branches of Hopf bifurcations (black) and of fold limit cycle bifurcations (gray) of the reduced system.

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