Plasma Protein Binding: Friend or Foe in Drug Discovery? Kevin Beaumont and Tristan Maurer Pharmacokinetics, Dynamics and Metabolism Pfizer Worldwide Research and Development Memorial Drive, Cambridge Massachusetts USA Total and Free Plasma Concentration (ng/mL) 0.1 atorvastatin digoxin losartan clonidine amlodipine warfarin rosiglitazone glburide tolterodine montelukast sertraline simvastin alendronate clonazepam lorazepam ceteirizine amitryptilline sildenafil alprazolam lansoprazole diclofenac zoldipem pravastatin pioglitazone propranolol celecoxib verapimil cephalexin furosemide diltiazem fluoxetine buproprion lisinopril hydrochlorth rofecoxib citalopram venlaxfaxine valsartan trazodone naproxen metoprolol ranitidine ibuprofen Plasma Protein Binding of Some Top 100 Most Prescribed Drugs 1000000 100000 Total Free 10000 1000 100 10 1 Drugs with 2 log units between total and free plasma concentration, percent bound greater than 98-99.9 %. If ppb drives dose, why are these compounds successful drugs? Smith, D.A. et. Al. Nat. Rev. Drug Disc. 2010, 9, 929-939. Individual Drugs • Fluconazole Naproxen • fu = 0.88 fu = 0.003 • Identical free drug Identical free drug concentration (SD or MD) concentration (SD or MD) – Plasma Plasma – CSF, Saliva Synovial fluid (deep tissue – Vaginal secretions fluid) – Breast milk, sputum – Prostatic seminal vesicle fluid Suggests high plasma protein binding is not a hindrance to distribution or success Importance of selecting your battles Title We have many foes in Drug Discovery Why pick a fight with a neutral agent? Attacking ppb is like invading Switzerland! No benefit and a whole heap of trouble! Toxicity Potency Selectivity Intrinsic Clearance Drug Drug Interactions Reactive metabolites Etc Pfizer Internal Use Only Plasma Protein Binding is a Neutral Parameter Title Plasma protein binding is a key parameter to measure Important to unmask free concentration Important in PK and dose prediction Plasma protein binding is not a key parameter to modulate Neutral on free concentration Neutral on half-life* Neutral on dose Exception is when Vd is fixed to blood volume* Pfizer Internal Use Only Free drug concentrations and antimuscarinic activity of zamifenacin Zamifenacin, potent and selective M3 muscarinic antagonist. 10000 1000 Dose mg/kg Cmax (total) ng/ml Cmax (free) ng/ml 99.80% 99.98% 100 Translatable Biomarker Inhibition of pupillary response to light (rat) or transient blurred vision (man) 10 1 .1 Rat Man 10-fold difference in free fraction, 0.002 and 0.0002 respectively Highly bound in both species Free concentration driving effect is identical Beaumont et al, 1994, Brit J. Clin. Pharm. 38, 179P Comparison of M3 Muscarinic Receptor Antagonists Zamifenacin Compounds In Vitro K (nM) b Intrinsic Clearance Fu Daily Clinical Dose Darifenacin Zamifenacin / Darifenacin 2 fold Similar 300 fold (0.06 vs. 0.0002) 2 fold Dose depends on potency and intrinsic clearance, but not PPB Dose – Steady State Equation Objective Potency Clearance Dose Css, avg CL τ F Absorption + CL Wagner, Nature(1965) Determinants of Dose Clearance Potency Objective Dose τ Css, avg CL F Substitute and simplify Wagner, Nature(1965) Absorption + CL For hepatically cleared drugs dosed orally CL Qh fu CLint Qh fu CLint Cancel fu and Qh terms Css, u Qh CLint τ Simplify Qh (fu CLint ) denominator Dose fu CLint fa 1 Qh (fu CLint ) Css, u Qh CLint τ Qh (fu CLint) Dose Qh (fu CLint)- fu CLint fa Qh (fu CLint) Pang, J Pharmacokin Biopharm (1973) CL F fa 1 Qh Substitute terms to reveal protein binding influence Css, u Qh fu CLint τ fu Qh (fu CLint) Dose Qh fu CLint Qh (fu CLint) fa 1 Qh Consolidate numerator and denominator Qh CLint Qh (fu CLint) τ Dose Css, u fa Qh (fu CLint)- fu CLint Qh (fu CLint) simplify Css, u CLint τ Dose fa “the chemists most important pharmacokinetic equation” Important: No requirement for fu CLint is the unbound intrinsic clearance (the theoretical maximum rate of clearance in the absence of flow and binding limitations) “The only determinants of unbound steady state exposure are intrinsic clearance and dose” - Harold Boxenbaum “Plasma protein binding alone cannot be regarded as either a positive or negative aspect of a compound” - van de Waterbeemd, J Med Chem (2001) Determinants of Dose – Determinants of Dose Oral drugs, hepatically cleared Clearance Potency Objective Dose τ Css, avg CL F Substitute and simplify Wagner, Nature(1965) Absorption + CL For hepatically cleared drugs dosed orally CL Qh fu CLint Qh fu CLint Cancel fu and Qh terms Css, u Qh CLint τ Simplify Qh (fu CLint ) denominator Dose fu CLint fa 1 Qh (fu CLint ) Css, u Qh CLint τ Qh (fu CLint) Dose Qh (fu CLint)- fu CLint fa Qh (fu CLint) Pang, J Pharmacokin Biopharm (1973) CL F fa 1 Qh Substitute terms to reveal protein binding influence Css, u Qh fu CLint τ fu Qh (fu CLint) Dose Qh fu CLint Qh (fu CLint) fa 1 Qh Consolidate numerator and denominator Qh CLint Qh (fu CLint) τ Dose Css, u fa Qh (fu CLint)- fu CLint Qh (fu CLint) simplify Css, u CLint τ Dose fa “the chemists most important pharmacokinetic equation” No requirement for fu “The only determinants of unbound steady state exposure are intrinsic clearance and dose” - Harold Boxenbaum “Plasma protein binding alone cannot be regarded as either a positive or negative aspect of a compound” - van de Waterbeemd, J Med Chem (2001) Determinants of Dose – Determinants of Dose Oral drugs, hepatically cleared Clearance Potency Objective Dose τ Css, avg CL F Substitute and simplify Wagner, Nature(1965) Absorption + CL For hepatically cleared drugs dosed orally CL Qh fu CLint Qh fu CLint Cancel fu and Qh terms Css, u Qh CLint τ Simplify Qh (fu CLint ) denominator Dose fu CLint fa 1 Qh (fu CLint ) Css, u Qh CLint τ Qh (fu CLint) Dose Qh (fu CLint)- fu CLint fa Qh (fu CLint) Pang, J Pharmacokin Biopharm (1973) CL F fa 1 Qh Substitute terms to reveal protein binding influence Css, u Qh fu CLint τ fu Qh (fu CLint) Dose Qh fu CLint Qh (fu CLint) fa 1 Qh Consolidate numerator and denominator Qh CLint Qh (fu CLint) τ Dose Css, u fa Qh (fu CLint)- fu CLint Qh (fu CLint) simplify Css, u CLint τ Dose fa “the chemists most important pharmacokinetic equation” No requirement for fu “The only determinants of unbound steady state exposure are intrinsic clearance and dose” - Harold Boxenbaum “Plasma protein binding alone cannot be regarded as either a positive or negative aspect of a compound” - van de Waterbeemd, J Med Chem (2001) Determinants of Dose – Determinants of Dose Oral drugs, hepatically cleared Clearance Potency Objective Dose τ Css, avg CL F Substitute and simplify Wagner, Nature(1965) Absorption + CL For hepatically cleared drugs dosed orally CL Qh fu CLint Qh fu CLint Cancel fu and Qh terms Css, u Qh CLint τ Simplify Qh (fu CLint ) denominator Dose fu CLint fa 1 Qh (fu CLint ) Css, u Qh CLint τ Qh (fu CLint) Dose Qh (fu CLint)- fu CLint fa Qh (fu CLint) Pang, J Pharmacokin Biopharm (1973) CL F fa 1 Qh Substitute terms to reveal protein binding influence Css, u Qh fu CLint τ fu Qh (fu CLint) Dose Qh fu CLint Qh (fu CLint) fa 1 Qh Consolidate numerator and denominator Qh CLint Qh (fu CLint) τ Dose Css, u fa Qh (fu CLint)- fu CLint Qh (fu CLint) simplify Css, u CLint τ Dose fa “the chemists most important pharmacokinetic equation” No requirement for fu “The only determinants of unbound steady state exposure are intrinsic clearance and dose” - Harold Boxenbaum “Plasma protein binding alone cannot be regarded as either a positive or negative aspect of a compound” - van de Waterbeemd, J Med Chem (2001) Thought Experiment 1 –Modulate Fraction Unbound, Maintain Dose and Intrinsic Clearance (unbound) Cliu = 1000 mL/min/kg, Q = 50 mL/min/kg, Complete absorption, Fixed dose u u ClH = Q(fClearance u.Cli )/(Q+fu.Cli ) AUCu AUC u= dose/ Cl u 2 50 1.6 40 1.2 30 0.8 20 0.4 10 0 0 0 0.2 0.4 fu 0.6 0.8 1 0 0.2 0.4 fu 0.6 0.8 1 Bioavailability AUC total = dose/Cl F = 1 - (ClH/Q) AUC 10000 100 1000 80 60 100 40 10 20 0 1 0 0.2 0.4 fu 0.6 0.8 1 0 Math courtesy of Don Walker 0.2 0.4 fu 0.6 0.8 1 It is tough to modulate fraction unbound - IPRL Isolated perfused rat liver model: modulate ppb with amount of BSA in perfusate Total Total Free Free In vivo: Ctot decreases with increase in fu but Cfree does not change Liu, X. et. Al. Curr. Top. Med Chem. 2011, 11, 450-466. It is tough to modulate fraction unbound – NAR Rats Nagase analbuminemia rats (NAR): mutant strain from wild type Spraque-Dawley rats (less albumin) Total Free 3X Decrease in fu does not change the Concu ONLY the Conctot Liu, X. et. Al. Curr. Top. Med Chem. 2011, 11, 450-466. 15 Dose is the most important parameter to Modulating Dose controlClearance and Potency (unbound concentration) - Unbound t is dose interval F Css is steady state Cav (unbound) Related to potency Cl is the clearance of the compound (unbound) Related to metabolism/excretion rate Average plasma concentration at a dose of 200mg 10000 Average unbound concentration (nM) Dose Css, avg CL τ Clu 10ml/min/kg Cav 520nM 1000 Clu 1000ml/min/kg 100 Cav 5nM 10 Lower dose More potent Lower Clun 1 0.1 1 10 100 1000 10000 Unbound clearance (ml/min/kg) 16 Modulating Dose - Dose calculation for marketed drugs 1000000 Unbound intrinsic clearance (Clint), in vitro potency and dose size 100000 Dose = 20mg Acetaminophen (4 g) Potency (nM) 10000 Dose = 200mg Carbemazepine (1000mg) 1000 Quinine (2g) Dose = 2000mg Atenolol (75mg) Artemisinin(250mg) 100 Dofetilide (10mg) Sildenafil (100mg) Indomethacin (100mg) Propranolol (60mg) Revatropate (1mg) Fluoxetine (20mg) 10 1 0.1 0.1 1 10 100 CLint (ml/min/kg) 1000 10000 A Conundrum Wrapped up in a Riddle Why is the literature replete with approaches that target lower plasma protein binding? 18 The Paradox: The tactics to modulate fraction unbound are the same as those to modulate unbound intrinsic clearance A strategy to lower plasma protein binding by lowering log D(7.4) may appear to improve dose……… ……… but only by lowering unbound intrinsic clearance!! van de Waterbeemd, J Comp Aid Mol Des (2001) Unless we want to make life complicated! Compartmental Model: Physiological Parameter Models: CL Qh CLint fu plasma Qh CLint fu plasma fu plasma Vd Vc Vt fu tissue F fa 1 CLh Qh or GFR fu plasma Target Exposure: 5nM as Cu,ss,max, Cu,ss,min or Cu,ss,avg Primary parameters: fu: 0.01 – 1 CLint: 1 – 100,000 ml/min/kg fa=1 Tau=24 hrs ka=1.8 hr-1 futissue=0.01 Vc = 0.2 L/kg (extracellular fluid) Vt = 0.4 L/kg (intracellular fluid) Secondary parameters: Vd = 0.6 – 40 L/kg CL:0.01 – 19.996 ml/min/kg t1/2: 1 – 800 hr Dose to Achieve Target Cav Css, avg CL τ Dose F Css, avg CL τ Dose 1 Hepatic / IV Hepatic / PO IV + Hepatic CL PO + Hepatic CL 100000 CLint = 100000 1000 CLint = 100000 Bottom Line: Easier to modulate dose with Clint (and potency) rather than fu Dose (mg) Dose (mg) 10000 1000 100 100 10 10 CLint = 1 1 0.01 0.1 CLint = 1 1 fu 1 0.01 0.1 1 fu As fu Css,av but is offset by Cl and F Overall, dose is independent of fu As fu Css,av but is only partially offset by Cl Effect is only seen at high values of intrinsic clearance Math courtesy of Tristan Maurer Dose to Achieve Target Cmax Dose Cmax Vd (1 - e -k el t ) e k el t max F Hepatic / IV Hepatic / PO IV + Hepatic CL PO + Hepatic CL Dose (mg) 10000 1000 100 10 100 CLint = 100000 Bottom Line: Easier to modulate dose with Clint CLint = 1 (and potency) rather than fu CLint = 100000 Dose (mg) 100000 10 1 1 0.1 0.01 CLint = 1 0.1 1 fu As fu Vd and Cl but Cmax and F Increased dose requirements only observed at high Clint due to nonlinear effects on Cl and F 0.1 0.01 0.1 1 fu As fu Vd and Cl but Cmax Decreased dose requirements with fu only observed at high Clint Math courtesy of Tristan Maurer Dose to Achieve Target Cmin Cmin Vd k el k a (1- e-k el τ ) Dose F k a ekaτ ekelτ Hepatic / IV Hepatic / PO IV + Hepatic CL PO + Hepatic CL 1E+17 Dose (mg) 1E+15 1E+13 1E+11 1E+09 1E+07 100000 1000 10 Bottom Line: Easier to modulate dose with Clint (and potency) rather than fu 0.1 0.01 100000 CLint = 100000 10000 Dose (mg) 1E+19 1000000 CLint = 100000 1E+21 1000 100 10 1 CLint = 1 CLint = 1 0.1 1 fu Increasing fu, affects parameters the same way leading to a decrease in dose, but in a way that is nonlinearly related to CLint with a impact only at higher values of Clint and very high doses 0.1 0.01 0.1 1 fu With loss of F, the effect is less pronounced, but still evident at high Clint values Math courtesy of Tristan Maurer Plasma Protein Binding is a Neutral Parameter Title Plasma protein binding is a key parameter to measure Important to unmask free concentration Important in PK and dose prediction Plasma protein binding is not a key parameter to modulate Neutral on free concentration Neutral on half-life* Neutral on dose Exception is when Vd is fixed to blood volume* Unless you want to make it complicated! Bottom Line: Easier to modulate dose with Clint (and potency) rather than fu Pfizer Internal Use Only Summary and Recommendation The next time your Discovery colleagues want to lower ppb……. …….ask them to consider: Dose route (iv or po) In Vitro potency Target (Cav, Cmax or Cmin) Clearance route (hepatic metabolic or renal) Clintu Keep calm and carry on! Acknowledgements Dennis Smith Li Di Don Walker Tristan Maurer Back Ups Dose to Achieve Target Cav Dose Css,avg CL τ F Hepatic PO HepaticPO IV Renal Math courtesy of Tristan Maurer Dose to Achieve Target Cmax Dose Cmax Vd (1 - e -k el t ) e k el t max F Hepatic PO IV Renal PO Math courtesy of Tristan Maurer Dose to Achieve Target Cmin Cmin Vd k el k a (1- e-k el τ ) Dose F k a ekaτ ekelτ Hepatic PO IV Renal PO Math courtesy of Tristan Maurer