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What is a multi-compartment model?
-the body does NOT act like a single compartment
-it takes time to distribute into peripheral compartments
Multi compartment distribution (two compartment)
Point 1: end of injection (central into peripheral)
Point 2: distribution in process
Point 3: distribution equilibrium attained
Point 4: elimination process predominates
Two compartment model
method of residuals to calculate slope and intercept for each phase
One compartment model vs. multi-compartment model PK after IV infusion
multi compartment accounts for drug distribution into different tissues, leading to complex concentration-time profiles
Drug Distribution
refers to a reversible transfer of a drug between circulating blood and extra-vascular fluids and tissues of the body
-affected by: properties of drug, anatomy and physiology, disease states, other drugs
Properties of drug
-lipophilicity, size, pKa
-protein binding in plasma and tissues
anatomy and physiology
tissue composition, transporters, other barriers
other drugs
inhibitors of transporters
Drug distribution can be characterized by...
rate and extent
rate of drug distribution depends on...
-perfusion of tissue
-membrane permeability
Extent of drug distribution depends on...
-lipid solubility
-pH-pKa
-plasma protein binding
-tissue protein binding
Cyclosporine A tissue PK
-most tissues show a rapid decline in cyclosporine A concentration = fast distribution and elimination
-skin, fat, thymus exhibit initial increase in concentration before declining, possibly indicating delayed distribution or accumulation
Passive Permeability (passive diffusion)
-bidirectional (reversible)
-dependent on: properties of barrier, properties of drug, concentration gradient
Drug properties affecting membrane permeability
-size (molecular weight)
-lipophilicity
-charge (ionization state)
-being a substrate to a transporter
example of drug transporters and distribution
P-glycoprotein significantly limits distribution of ondansetron into the CNS
Perfusion-rate limitations (delivery rate limitations)
-when tissue membranes present essentially no barrier to distribution (likely for small, lipophilic molecules)
-BLOOD FLOW is a RATE LIMITING step
-well-perfused tissues take up a drug more rapidly than poorly perfused tissues
Perfusion rate in decreasing order
Kidneys (4) > Brain (0.5) > Adipose (0.025)
Permeability-rate limitations (delivery rate limitations)
-crossing the membranes is the rate-limiting step
-common for polar drugs
-physiochemical properties of the drug can significantly influence the permeability (pKa, LogP, LogD)
Vd vs. Physiological Volumes
breaks down total body water into three main compartments
1. plasma
2. interstitial fluid
3. intracellular fluid
-fluid intake and output (via kidneys, lungs, feces, sweat, and skin)
Volume of Distribution (Vd)
describes relationship between amount of drug in the body and the concentration in the blood (plasma)
-proportionally constant
-has no direct physiological meaning
-Vc, Vss, Varea
Apparent Volume of Distribution
-numerical value may be similar to a physiological space in the body
-apparent volume DOES NOT necessarily correspond to a physiological volume
Why are we interested in Vd?
it can be used for calculating the dose
Dose = C x Vd
Protein Binding
- Drug + Protein = Drug Protein Comlex
-fraction unbound
-fraction bound
-most methods measure Ctotal
-total amount of drug in the body is independent of measurement method
acidic drugs commonly bind to ablumin
basic drugs commonly bind to alpha-1 acid glycoprotein
Between Subject variability in fu and Vd (propanolol example)
different health conditions can affect how much of a drug is free in the blood and how widely it spreads in the body
-as alpha 1-acid glycoprotein levels increase, fraction unbound decreases (varies across disease states)
Extent of Distribution
-Vd increases when fu,p is increased
-Vd decreases when Fu,t is increased
-fu,t is the average value across all tissues into which drug distributes
-Kp can vary considerably among tissues
Different values of Vd
Vc (V1) - volume of the central compartment
Vextrap - extrapolated volume
Varea - volume at the terminal phase
Vss - volume at steady-state
value dependent on quality of the observed data
Multicompartment distribution
Varea > Vss > Vc
Two compartment model graph
use method of residuals to calculate C1
-use of back-extrapolation of the terminal phase slope will overestimate the volume of distribution
Varea, Vbeta, Vz
-volume calculated at the terminal elimination phase
-uses area under the concentration-time curve
-influenced by changes in clearance
-this is a method for calculation and does not mean that clearance is dependent on the volume of distribution
Volume of distribution at steady state, Vss
-not affected by clearance
-calculation using exponential parameters
Varea after extravascular administration
the dose that gains access to the systemic circulation might be less than 100%
Vd is time dependent during the...
distribution phase
How to identify Non-Linear PK
-systematic trends observed in dose normalized PK profile and NCA parameters with non-linear PK
-greater than dose-proportional increases in AUC with dose suggests saturable clearance mechanism
General Expectations of Linear Antibody Pharmacokinetics
-biexponential PK profile typically observed
-long terminal half-life (2-3 weeks)
-low volume of distribution
Characteristics of mAbs with 'typical' PK
-no target mediated drug disposition
-typically bind to soluble targets
General expectations of non-linear antibody PK
-greater than proportional increases in AUC
-dose dependent changes in CL, Vd, t1/2
Characteristics of mmAbs with non-linear PK
-often due to target-mediated drug disposition
-typical targets are either
membrane bound - HER2, EGFT, CD20
soluble and form immune complexes - IgE
IgG Elimination is Concentratoin-Dependent
-inverse relationship between serum IgG concentrations and half life
-Brambell proposed that this observation was due to the presence of a salvage receptor for IgG
Neonatal Fc Receptor - FcRn
-protection receptor for IgG
-functions as a 65 kDa heterodimer
1. 15 kDa light chain - Beta2 microglobulin
2. 50 kDa heavy chain - MHC1-like protein
-expressed throughout the body
-endogenous roles
1. IgG/albumin homeostasis
2. maternal transfer of IgG to fetus/neonate
How does FcRn protect IgG from catabolism?
1. proteins are internalized via fluid-phase pinocytosis
2. endosomal acidification causes protonation of key histidines in IgG and FcRn
3. protonation leads to favorable IgG-FcRn binding
4. IgG-FcRn complexes are recycled to the cell surface
5. following exposure to extracellular pH, IgG-FcRn complexes dissociate
FcRn function?
protection of IgG from catabolism
Oral Route of mAb therapeutics
bioavailability - negligible
tmax - NA
Barriers - low gastric pH, GI tract enzymes, GI eptihelium
Intravenous route of administration mAb therapeutics
Bioavailability - 100%
tmax - immediately
barriers - NA
Subcutaneous and Intramuscular route of administration mAb therapeutics
bioavailability - 52-80%
tmax - 6-8 days
barriers - lymphatics, immune cells
SC administration is very attractive for pharmaceutical development
-absorption is largely via lymphatics
-reasonable bioavailability
-less pain compared to IM injections
-more convenient to patients compared to IV
-significant investment into absorption enhancing strategies
General expectations - PK following SC dosing
-relatively slow absorption
-reasonable bioavailability
-often only see monoexponential PK (first phase may be masked by absorption)
What happens to the bioavailability of mAbs at high dose levels?
it decreases
What happens to bioavailability after genetic knockout of FcRn?
reduces bioavailability of mAbs to 30%
Diffusion Pathway for IgG Distribution
Efficiency - negligible
Barriers - cell membrane
Bulk fluid flow pathway for IgG Distribution
Efficiency - tissue dependent
Barriers - endothelial pores, interstitial pressure
Pinocytosis Pathway for IgG distribution
Efficiency - relatively low
Barriers - endocytic rate
Receptor Mediated Uptake Pathway for IgG Distribution
Efficiency - target dependent
Barriers- target expression, target accessibility, endocytic rate, binding affinity
Tissue concentrations is LESS THAN plasma concentrations
-slow extravasation into tissues
-relatively rapid drainage via lymphatics
Small Vss from NCA analysis
-typically close to plasma volume
-True Vss measurement requires tissue concentrations of mAbs
IgG elimination
-intracellular catabolism
-target mediated elimination (specific)
-receptor-mediated elimination
-receptor mediated protection: FcRn
-immunogenicity
Intracellular catabolism
-following fluid phase endocytosis (non-specific)
-limited by interactions with FcRn
Target mediated elimination (specific)
-cell surface receptor: internalization
Soluble target: formation of large complexes - phagocytosis
Receptor mediated elimination
-may trigger endocytosis and catabolism
Receptor mediated protection - FcRn
level of plasma concentration of IgG
Immunogenicity elimination
formation of anti-drug antibodies (ADA) resulting in accelerated clearance or loss of activity
What about renal clearance?
-generally accepted molecular weight cutoff for glomerular filtration - 60 kDa
- in healthy individuals, <0.01% of IgG in serum is expected to pass through the glomerulus
Key features of elimination following pinocytosis
-non specific
-can occur in any cell
-results in catabolism to component amino acids
-efficiency is blunted by FcRn recycling
-at typical mAb doses, linear process
Key features of target mediated elimination
-highly specific
-saturation level and rate depends on: target expression/accessibility, target turnover
-occurs following receptor binding/internalization
-typically a non-linear process (manifests as dose dependent changes in CL/Vss)
At low doses...
any target mediated processes will dominate the profile
-dose dependent decreases in CL until saturation
at extremely high doses, FcRn will be...
saturated
-dose dependent increases in CL
Soluble Target types
generally present in circulation (VEGF)
Membrane, non-internalizable
target is expressed on the cell surface but does not endocytose
Membrane, internalizable
target is expressed on the cell surface but endocytoses
Membrane, sheddable
target is expressed on the cell surface but may be release into the extracellular space
Do target properties influence PK of mAbs?
YESSSS
Immunogenicity refers to...
the formation of antibodies against the therapeutic molecule
-referred as anti drug antibodies
-recognition of the therapeutic as foreign by the immune system
Different types of ADA
clearing - adverse effects on PK
neutralizing - inhibits binding to target/efficacy
non clearing/non neutralizing - no impact
Factors associated with immunogenicity
1. duration of therapy
2. dose
3. route of administration
4. frequency/onset of ADA cannot be predicted
duration of therapy
-incidence typically increases with treatment time
Dose
ADA more frequently detected at lower does of mAb
Route of administration
ADA often found more frequently with SC/IM dosing
If profiles do not overlay...
it is non linear PK
for mabs, non linear PK is often attributable to...
target-mediated disposition
Mechanism of Target Mediated Drug Disposition (TMDD)
high affinity binding of a large fraction of the dose to its pharmacologic target will significantly impact PK (hypothesis made based on the increasing number of drugs in development with high affinity for targets)
General Expectations of TMDD
-NCA derived Vss and Cl will decrease with increasing dose to a limiting value
-greater than dose proportional changes in AUC at low doses
Key features of TMDD for mabs
non linear PK
dose dependent decreases in clearance
-typically observed for mabs against cell surface targets
-TMDD is saturable in nature
PK studies at a range of doses are REQUIRED to...
characterize TMDD
TMDD model is able to well characterize...
1. plasma TRX1 PK
2. free and total CD4 concentrations
model-estimated affinity DOES NOT agree wtih...
in vitro measurements
TMDD models are useful to characterize...
blood PK data
Physiologically-based PK models allow
1. integration of mechanistic determinants of mab PK
2. description of both blood and tissue PK
3. relatively straightforward scaling bw species
PBPK challenges include
1. difficult model validation
2. complex system of equations
gold standard for prediction of PK
more useful for prediction than fitting
Antibody Drug Conjugates
combine selectivity of mabs with the potency of chemo drugs
-careful selection of target antigen is critical to avoid severe toxicities
ADC PK measurements require assays for several analytes
1. conjugated mab
2. free/total mab
3. free/total drug
drug to antibody ratio affects PK/PD
1. increased DAR leads to faster clearance
2. some degree of deconjugation can be expected with time
Bispecific antibodies
affinity for
1. several molecular formats can be produced
2. generally, include fragments from two dif mabs
bsAb PK
-eliminated very quickly
-have to consider target kinetics/cycling
Biosimilars
biological product that his HIGHLY similar to and has NO clinically meaningful differences from an existing FDA approved reference product
If the drug is water soluble and not highly bound to plasma proteins, it can be...
directly eliminated
most drugs are too ______ to be directly eliminated
lipophilic
Phase 1 Metabolism
CYP enzymes; many phase I metabolites are active
Phase II Metabolism
phase II metabolites are usually water soluble and inactive
Drug elimination can only be measured in the clinic by analyzing...
changes in drug concentration over time in blood, urine, breath samples, etc.
volume of blood completely cleared of drug per unit time
considers entire body to be a single drug eliminating system made up of one or more elimination processes
-does not identify mechanism of elimination
What is the most useful measure of drug elimination and why?
Clearance; because it remains constant (it is NOT concentration dependent)