Langmuir Adsorption Isotherm (simplified): q = qmax · C / (Kd + C) Breakthrough: BT% = (C/C0) · 100 when C/C0 > 0.05 Yield: Yield = (mass in pool / mass loaded) · 100% HCP Clearance: Log reduction = log10(HCP_load / HCP_pool) Pool Volume: Vpool = (Apeak_start to Apeak_end) / flow_rate Step Elution: C_eluted = C_load · exp(-k · (V - V0))