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Decoupling between activation time and steady-state level in input-output responses

Fig 2

Using spanning trees and forests to calculate steady-state responses and activation times.

(A) An example three-vertex graph, , and a corresponding augmented graph, , as discussed in the text. Here, . (B) The spanning trees of rooted at 1, 2 and 3. Roots are shown in orange. These spanning trees contribute to the calculation of the steady-state response, through Eq. 9; see the text for details. (C) The spanning forests of rooted at {j,4}, for each j = 1, 2, 3, in which there is a path from vertex 1 to vertex j (top three rows); and the spanning trees of rooted at 4 (bottom row). Roots are shown in orange. These spanning forests contribute to the calculation of the activation time, through Eq. 10; see the text for details.

doi: https://doi.org/10.1371/journal.pcbi.1014288.g002