#21 · Systems biology

Circadian-gated slow-fast models infer time-dependent transitions in biological states

The common thread is dynamical modelling with explicit temporal structure, in which state transitions or trajectories are governed by time-dependent inputs. The affective model places states in a landscape tilted by circadian drive and applies a Kramers-type escape criterion to transitions into depression-like states. The chronotype study attributes right-skew to stochastic sleep homeostasis operating under circadian entrainment, and the PKA model is fitted to dose-response and time-course data under serotonin and opioid inputs. The synaptic study is the least temporally framed of the set, treating precision as an energy-constrained minimisation of postsynaptic variance under mean and energy budgets. What is new across these preprints is explicit representation of phase-structured or circadian-gated dynamics, although the set is heterogeneous and all evidence is preprint-level.