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BIOMD0000000291 - Nikolaev2005_AlbuminBilirubinAdsorption

 

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Reference Publication
Publication ID: 16307060
Nikolaev AV, Rozhilo YA, Starozhilova TK, Sarnatskaya VV, Yushko LA, Mikhailovskii SV, Kholodov AS, Lobanov AI.
Mathematical model of binding of albumin-bilirubin complex to the surface of carbon pyropolymer.
Bull. Exp. Biol. Med. 2005 Sep; 140(3): 365-369
Moscow Physical-and-Technical Institute, State University.  [more]
Model
Original Model: BIOMD0000000291.xml.origin
Submitter: Vijayalakshmi Chelliah
Submission ID: MODEL1101060000
Submission Date: 06 Jan 2011 14:47:01 UTC
Last Modification Date: 20 Apr 2012 22:04:07 UTC
Creation Date: 20 Sep 2010 10:43:27 UTC
Encoders:  Vijayalakshmi Chelliah
   Andrey V Nikolaev
set #1
bqbiol:isPartOf KEGG Pathway ko00860
bqbiol:isVersionOf Gene Ontology bilirubin conjugation
set #2
bqbiol:occursIn Taxonomy Eukaryota
Notes

This a model from the article:
Mathematical model of binding of albumin-bilirubin complex to the surface of carbon pyropolymer.
Nikolaev AV, Rozhilo YA, Starozhilova TK, Sarnatskaya VV, Yushko LA, Mikhailovskii SV, Kholodov AS, Lobanov AI. Bull Exp Biol Med 2005 Sep;140(3):365-9. 16307060 ,
Abstract:
We proposed a mathematical model and estimated the parameters of adsorption of albumin-bilirubin complex to the surface of carbon pyropolymer. Design data corresponded to the results of experimental studies. Our findings indicate that modeling of this process should take into account fractal properties of the surface of carbon pyropolymer.

This model originates from BioModels Database: A Database of Annotated Published Models (http://www.ebi.ac.uk/biomodels/). It is copyright (c) 2005-2011 The BioModels.net Team.
For more information see the terms of use .
To cite BioModels Database, please use: Li C, Donizelli M, Rodriguez N, Dharuri H, Endler L, Chelliah V, Li L, He E, Henry A, Stefan MI, Snoep JL, Hucka M, Le Novère N, Laibe C (2010) BioModels Database: An enhanced, curated and annotated resource for published quantitative kinetic models. BMC Syst Biol., 4:92.

Model
Publication ID: 16307060 Submission Date: 06 Jan 2011 14:47:01 UTC Last Modification Date: 20 Apr 2012 22:04:07 UTC Creation Date: 20 Sep 2010 10:43:27 UTC
Mathematical expressions
Rules
Assignment Rule (variable: Al) Assignment Rule (variable: B) Assignment Rule (variable: C) Rate Rule (variable: AlB)
Rate Rule (variable: BC) Rate Rule (variable: AlCn) Rate Rule (variable: AlB2)  
Physical entities
Compartments Species
compartment AlB BC AlCn
AlB2 Al B
C A0 B0
C0    
Global parameters
k1 k2 k3 k4
k5 k6 k7 k8
k9 k10 K_AlB K_AlB2
n      
Reactions (0)
Rules (7)
 
 Assignment Rule (name: x5) Al = A0-x1-x3-x4
 
 Assignment Rule (name: x6) B = B0-x1-x2-2*x4
 
 Assignment Rule (name: x7) C = C0-x2-n*x3
 
 Rate Rule (name: x1) d [ AlB] / d t= K_AlB*k3*x5*x6-K_AlB2*k4*x1*x6-k3*x1-k9*x1*x7^(n+1)+k4*x4+k10*x4*x7
 
 Rate Rule (name: x2) d [ BC] / d t= k6*x7*x6-k8*x2+k9*x1*x7^(n+1)+k10*x4*x7
 
 Rate Rule (name: x3) d [ AlCn] / d t= k5*x7^n*x5-k7*x3+k9*x1*x7^(n+1)
 
 Rate Rule (name: x4) d [ AlB2] / d t= K_AlB2*k4*x1*x6-k4*x4-k10*x4*x7
 
   compartment Spatial dimensions: 3.0  Compartment size: 1.0
 
 AlB
Compartment: compartment
Initial concentration: 0.0
 
 BC
Compartment: compartment
Initial concentration: 0.0
 
 AlCn
Compartment: compartment
Initial concentration: 0.0
 
 AlB2
Compartment: compartment
Initial concentration: 0.0
 
  Al
Compartment: compartment
Initial concentration: 0.4615385
 
  B
Compartment: compartment
Initial concentration: 0.1754386
 
  C
Compartment: compartment
Initial concentration: 1.174
 
 A0
Compartment: compartment
Initial concentration: 0.4615385
Constant
 
 B0
Compartment: compartment
Initial concentration: 0.1754386
Constant
 
 C0
Compartment: compartment
Initial concentration: 1.174
Constant
 
Global Parameters (13)
 
 k1
Value: 0.484
Constant
 
 k2
Value: 0.07958
Constant
 
 k3
Value: 5.095E-6
Constant
 
 k4
Value: 2.656E-5
Constant
 
 k5
Value: 0.005489
Constant
 
 k6
Value: 3.226E-7
Constant
 
 k7
Value: 0.00301
Constant
 
 k8
Value: 1.011E-7
Constant
 
 k9
Value: 0.01685
Constant
 
 k10
Value: 0.1325
Constant
 
 K_AlB
Value: 95000.0
Constant
 
 K_AlB2
Value: 3000.0
Constant
 
 n
Value: 1.0
Constant
 
Representative curation result(s)
Representative curation result(s) of BIOMD0000000291

Curator's comment: (updated: 06 Jan 2011 14:51:24 GMT)

The model reproduces figure 2a and 2b of the reference publication. The parameter values in Table 1 are in Molar. They are converted mMolar to reproduce the plots.
This model corresponds to n=1 (i.e.The number of sites on the Carbon pyropolymer, that are occupied by 1 albumin molecule is 1). The initial concentrations of albumin and bilirubin are 0.461539mM and 0.175439mM respectively. The model was integrated and simulated using Copasi v4.6 (Build 32)

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