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Sorption kinetics in haemoperfusion columns. Part 1: estimation of mass-transfer parameters

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Abstract

Thein vitro measurement of adsorption isotherms and intraparticle diffusivities for three types of activated carbon and four exogenous and endogenous toxins is described. Complications due to the chemical breakdown of creatinine and paracetamol in the presence of activated carbon are discussed. Three methods are compared for the estimation of intraparticle diffusivity from the kinetic data. The simplest method is also used to reinterpret literature data comparing diffusivity values using plasma or HSA solution as opposed to buffer as the solvent. The adsorption isotherms and intraparticle diffusivities comprise the fundamental data used to validate the mass transfer model of a haemoperfusion column developed in Part 2.

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Abbreviations

A p :

Total surface area of sorbent

a :

Shape factor (=2 for spheres)

c :

Fluid phase concentration

D p :

Pore diffusivity

D s :

Intraparticle or solid diffusivity in sorbent

d p :

Diameter of sorbent particle

K 1 :

Affinity parameter in Langmuir isotherm

K 2 :

Constant in Freundlich isotherm

k :

Mass-transfer coefficient

M :

Mass of sorbent

Q :

Volumetric flow rate

q m :

Maximum solid phase concentration in Langmuir isotherm

q :

Local solid-phase concentration

q * :

Solid phase concentration at sorbent surface

\(\bar q\) :

Average solid-phase concentration

R :

Isotherm shape parameter=1/(1+K 1 c 0)

r :

Radius of sorbent particle

Sh :

Sherwood number=k edp/Ds

t :

Time

V :

Volume of finite bath

ρ:

Density

ψ q :

Correction factor (Hall et al., 1966)

b :

Blood or bulk

e :

External

f :

Fluid

m :

Membrane

o :

Initial value

p :

Particle

∞:

Value att=∞

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Authors and Affiliations

  1. Bioengineering Unit, University of Strathclyde, Glasgow, Scotland

    D. F. Radcliffe & J. D. S. Gaylor

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  1. D. F. Radcliffe
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  2. J. D. S. Gaylor
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Radcliffe, D.F., Gaylor, J.D.S. Sorption kinetics in haemoperfusion columns. Part 1: estimation of mass-transfer parameters. Med. Biol. Eng. Comput. 19, 617–626 (1981). https://doi.org/10.1007/BF02442777

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