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52 Cards in this Set

  • Front
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drug flux in different gut regions
Unidirectional flux J is mass/time * area, so the surface area of each region is incorporated here
Flux equation
J- Dm*Pm*Cd/ h
Dm
diffusion coefficient in the barrier
Pm
the apparent partition coefficient between the membranes and the gut content (pH differences in individual regions are accounted for here)
Cd
drug concentration in the donor compartment (intestinal content)
h
the thickness of the barrier between the gut content and the blood in the capillaries inside the villi
Permeabilty Coefficient I
Characters of transport- frequently used albeit not exhaustively complete.
Permeability Coefficient I does not account for:
1. the delay in the start of the transport

2. accumulation in the barrier
The permeability Coefficient can be used if sink conditions do not apply. What is an example of this?
for slowly distributed drugs that circulate in the bloodstream
The permeability coefficient PC describes the flux J as:
J= PC x (Cd - Ca)
Cd
the drug concentration in the donor compartment( intestinal content)
Ca
the drug concentration in the acceptor compartment ( the blood)
Permeability Coefficient II
(def and equ)
by comparison with the expression for the unidirectional flux, the permeability coefficient can be as:
PC= Pm * Dm/h
Dm (perm coef II)
is the diffusion coefficient in the barrier (several cell layers between the gut content and the bloodstream)
Pm (perm coef II)
the apparent partition coefficient between the membranes and the gut content (pH differences in individual regions are accounted for here, pH partition hypothesis applies)
h (perm coef II)
the thickness of the barrier between the gut content and the blood in the capillaries inside the villi
What are the units of PC?
unit of time/distance
Stomach pH
1-3
Stomach surface area
0.1
Stomach permeability
+/-
Duodenum pH
5-6
Duodenum surface area (m^2)
0.1
Duodenum permeability
++
Jejunum pH
6-7
Jejunum surface area (m^2)
60
Jejunum permeability
++
Ileum pH
7-8
Ileum surface area (m^2)
60
Ileum permeability
+
colon pH
5-8
Colon surface area (m^2)
0.2
Colon permeabilty
+/-
pH- partition hypothesis
for ionizable drugs, non-ionized species are transported much faster than ionized species
(but ionized species are transported too)
Cause of pH- partition hypothesis
difference in the solvation of charged molecules in water and in the nonpolar environment
Is the pH- partition hypothesis manifested already at the level of the two-phase systems?
yes. ie. 1-octanol/water
Partitioning of acids
Ions partition to lesser extent than:
non-ionized molecules and ion pairs
Partitioning of acids
Influence of counterions is:
significant
Partitioning of bases
non-ionized and ion-pairs:
partition well
Partitioning of bases
protonated molecules partition:
to a lesser extent
The apparent partition coefficient
(definition)
each form of the drug molecule (ionized, ion-pair, nonionized) has its own partition coefficient P
Various forms of drug molecules in the aqueous phase
We need all concentrations expressed via:
[DH]w
equation (5) aqueous
qh
[DC]w= ------- * [DH]w
qc
equation (6) aqueous
[D-]w = qh * [DH]w
the partition coefficient of individual drug forms
for nonionized molecules:
(7)
[DH]o
Pdh= ----------
[DH]w
the partition coefficient of individual drug forms
for ion pairs:
(8)
[DC]o
Pdc= -----------
[DC]w
Papp: Dependence on [H+] and [C+] I
-- definition (9)
[DH]o + [DC]o
Papp=--------------------------------
[DH]w + [DC]w + [D-]w
substituting from (5) and (6)

gets equ (10)
Pdh * [DH]w + Pdc * [DC}o
Papp= ------------------------------------------
[DH]w + [DC]w + [D-]
Papp: dependence on [H+] and [C+] II
changing all drug forms to [DH]w using equations (3) and (4)

equ (11)
qh
Pdh*[DH]w+Pdc*------- * [DH] w
Papp qc
---------------------------------------------
[DH]w+qh/qc * [DH]w+qh * [DH]w
Papp: dependence on [H+] and [C+] III
eliminating [DH]w
(12)
Pdh + Pdc * qh/qc
Papp=----------------------------------
1 + qh/qc + qh
the treatment (equ 3-12) is valid for acidic drugs. the dependence of Papp for basic drugs can be derived the same way
true
Papp: influence of counterions
counterions can, in principle, reverse the pH profile of the apparent partition coefficient, depending on the
1. concentration
2. ion-pairing ability
3. lipophilicity
the absorption in jejunum is about 2 times faster than that in ileum. the reason is that the increased ionization in ileum leads to a decrease in Pm value and, consequently, to reduced permeability coefficient PC
true