Title: Necessary conditions for non-monotonic steady state response
Abstract: Non-monotonic (or "biphasic") dose responses are often observed in experimental biology, which raises the question of which network motifs might underlie such behaviours. It is well known that the presence of an incoherent feedforward loop (IFFL) may give rise to a non-monotonic response, and it has been informally conjectured that this condition is also necessary. We disprove this conjecture with an example. Moreover, we show that a version of the conjecture does hold. Towards this aim, we consider several related notions (infinitesimal homeostasis, biphasic response, and stable biphasic response) and their underlying network motifs.
Lunch: before the talk at 12pm at Shawarma Joint.