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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
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
at extremely high doses, FcRn will be...
saturated
-dose dependent increases in CL
Soluble Target types
generally present in circulation (VEGF)
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
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)
CL remains constant in the absence of...
1. drug interactions (enzyme induction/inhibition)
2. renal or hepatic dysfunction
3. certain diseases
- value does NOT change as we age
Compartmental (model-DEPENDENT) definition of CL
assumption - drug elimination is 1st order
-one compartment drug
-two compartment drug
Compartmental (model-INDEPENDENT) definition of CL
-one compartment
-multi compartment drug
Physiologic (non-compartmental model-independent) definition of CL
does not allow you to individualize your calculation of CL like def 1 and def 2
Extraction ratio
measures the efficiency of drug extraction (ranges from 0-1)
- when E=1, CL = blood flow
Low extraction
<0.3
Intermediate extraction
0.3-0.7
High extraction
>0.7
What is the use of CL in a clinical setting?
it can be used to calculate the patient's maintenance drug dose and any subsequent dosage adjustments
What is the 2-step approach to adjusting a drug dose?
1. calculate patient's CL
2. use CL to calculate new dose
As Km increases...
enzymes become saturated and it approaches its maximum rate
When Cul is low relative to enzyme concentration, it is what order?
first
What do we get when we divide velocity (rate) by Cu,L?
unbound metabolic clearance
What is the drug concentrations that are actually measured in practice?
peripheral venous drug concentrations
-not hepatic artery, portal vein, or hepatic vein bc it is too invasive
Characteristics associated with first-pass metabolism:
1. poor oral bioavailability (F)
2. greater patient-to-patient variability in F
3. Eh >0.7
Biliary exretion occurs by?
active transport
drug properties that favor biliary excretion
1. MW > 250
2. good water solubility
3. presence of a suitable carrier protein
What is enterohepatic cycling?
-biliary secretion dumps into small intestine
-excreted in feces unless reabsorbed from small intestine
-enterohepatic cycling = reabsorption of drug across small intestine
What metabolites are most often excreted in bile?
glucuronide conjugates
What is enterohepatic cycling promoted by?
action of beta-glucoronidase enzymes in the intestine
when Eh is high, what happens to Qh?
it is rate limiting
Do changes in fub or Clint affect hepatic clearance?
no
when Eh is low, what is rate-limiting?
Fub x CLint
Do changes in Qh have an effect on hepatic clearance?
nope
drugs that are normally greater than 80% protein bound may be affected by changes in ...
CLint or fub
As free fraction increases, what happens to the unbound plasma drug concentration?
it increases
As the free fraction increases, what happens to the total plasma drug concentration?
it increases
For must drugs the net result of 3 processes leads to renal drug elimination
1. glomerular filtration
2. renal tubular secretion (1 and 2 move drug from plasma into the renal tubule)
3. tubular reabsorption (moves drug from renal tubule back into the plasma)
Factors that can affect renal drug elimination
-plasma drug concentration (C)
-plasma binding (fub)
-renal blood flow (QR)
-urine flow rate
-urine pH
Drug properties that favor glomerular filtration
1. water solubility
2. molecular weight <500
3. low degree of plasma protein binding: rate of filtration = fub x C x GFR
Brush Border membrane
contains various organic anion (OA) transporters; the multidrug resistance transporter (MRP2) mediates primary active luminal secretion
Uptake of organic anions (OA) across basolateral membrane (BLM) is mediated by...
sodium dependent OAT transporters
Uptake of organic cations (OC) across BLM is mediated by...
organic cation transporters (OCT)
Luminal OC secretion across BBM is mediated by...
P-glycoprotein
Tubular secretion is possible ONLY if...
the drug has sufficient affinity for a carrier protein
When tubular secretion is highly efficient...
it becomes the primary mechanism of renal excretion
When tubular secretion is NOT efficient...
filtration is the primary mechanism of elimination
most drugs are reabsorbed by....
passive diffusion
variables that affect tubular reabsorption
1. urine flow rate (drug concentration gradient between renal tubule and plasma)
2. drug pKa - lipophilic (unionized) drugs are reabsorbed more efficiently than polar (ionized) drugs
3. urinary pH - ranges from 7.4 in the proximal tubule to 4.5 in the distal tubule
If CLr = fub x GFR
filtration is likely the ONLY mechanism of renal elimination
If CLr > fub x GFR
filtration and tubular secretion are BOTH occurring
if CLr < fub x GFR
filtration and tubular reabsorption are both occurring
Linear Pharmacokinetics
indicates that for a given individual and drug, all concentration-time profiles that are normalized for size of dose are superimposible
nonlinear pharmacokinetics
implies such profiles are not superimposable
Decrease in gut degradation or metabolism, mucosa degradation or metabolism or liver metabolism (first pass) leads to...
nonlinear bioavailability
Plasma Protein Binding
1. there are a limited number of binding sites to plasma proteins
2. get increased volume of distribution with saturable plasma protein binding
3. effect on total and free concentrations and clearance of drug depend on extraction ratio through liver
Tissue binding
1. binding sites can also be saturated
2. get decreased volume of distribution with saturable tissue binding sites
Saturable tubular secretion
secretion of organic anions and cations is a saturable, carrier mediated process located in the proximal tubular cells of the kidney
Glomerular filtration is a passive process and increases with...
drug concentration
reabsorption is USUALLY
passive and also increases with concentration
Secretion of organic anions and cations is a saturable, carrier mediated process located in...
the proximal tubular cells of the kidney. there are maximal capacities for tubular secretion
inhibit metabolism
increases Km