Monod: S_ss=K_s·D/(μ_max−D); D_crit=μ_max·S_feed/(K_s+S_feed); at D=μ_max/4,K_s=S_feed: S_ss=S_feed/3

Sympy-exact symbolic witness of the Monod chemostat steady-state canonical forms and washout threshold. Setup: S, K_s, μ_max, Y, S_feed, D — all positive symbols. Specific growth rate: μ(S) = S·μ_max/(K_s+S) (sympy canonical…