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Mathematical modeling of dopamine rhythms and timing of dopamine reuptake inhibitors
Fig 5
Stable dosing regimes and linear stability analysis.
(A) Mean eda over 7 days of repeated daily doses at t = 6. The change in mean eda is robust to a large range of half-lives and doses. The mean eda monotonically increases with both half-life and dose, with steep changes outside of the homeostatic plateau (large blue region). (B) Largest real part of the eigenvalues obtained from linear stability analysis over a full 24-hour circadian cycle, evaluated under varying levels of 
. The yellow shaded region represents the range of maximum real eigenvalues across circadian phases for each value of sDAT. The blue line denotes the average of these eigenvalues at each 
activity level. The consistently negative values indicate that the system’s equilibrium remains locally stable across all circadian phases and drug inhibition levels 
. (C) Average equilibrium eda* across circadian phases for 
. The thick purple line shows the mean over 24 hrs, and the shaded region indicates circadian variation. Equilibrium eda* decreases monotonically with increasing 
activity, reflecting convergence to lower steady states as drug effects decay.
doi: https://doi.org/10.1371/journal.pcbi.1013508.g005