Use RO data to predict the minimum effective dose and the biologically optimal dose for a PD-1–targeting monoclonal antibody in humans. 🔬 Step 1: Known Parameters Parameter Value Target PD-1 (on activated T cells) Affinity (KD) 3 nM (i.e., 3 × 10⁻⁹ M) MAb MW 150 kDa Desired RO for efficacy ≥70% Plasma volume 3 L (approximate) Bioavailability (IV) 100% RO vs. plasma concentration Modeled by: RO = C / (C + KD) 🧮 Step 2: Determine Required Plasma Concentration for Desired RO Use the RO equation: R O = [ D r u g ] [ D r u g ] + K D RO = \frac{[Drug]}{[Drug] + K_D} RO = [ Dr ug ] + K D [ Dr ug ] For 70% RO: 0.7 = C C + 3 × 10 − 9 ⇒ C = 7 × 10 − 9 M 0.7 = \frac{C}{C + 3 \times 10^{-9}} \Rightarrow C = 7 \times 10^{-9}\ M 0.7 = C + 3 × 1 0 − 9 C ⇒ C = 7 × 1 0 − 9 M Convert to µg/mL: C = 7 × 10 − 9 m o l / L × 150 , 000 g / m o l = 1.05 μ g / m L C = 7 \times 10^{-9}\ mol/L \times 150,000\ g/mol = 1.05\ \mu g/mL C = 7 × 1 0 − 9 ...