Diauxic Growth Model

Model version: 13

BOUNDS submodel

Submodel for dynamically calculating the flux bounds. The dynamically changing flux bounds are the input to the FBA model.

Description

Dynamic Flux Balance Analysis of Diauxic Growth in Escherichia coli

The key variables in the mathematical model of the metabolic network are the glucose concentration (Glcxt), the acetate concentration (Ac), the biomass concentration (X), and the oxygen concentration (O2) in the gas phase.

This file has been produced by Matthias Koenig.

Terms of use

Redistribution and use of any part of this model, with or without modification, are permitted provided that the following conditions are met:

Redistributions of this SBML file must retain the above copyright notice, this list of conditions and the following disclaimer.
Redistributions in a different form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution.

This model is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.

Model : diauxic_bounds

Creator
Matthias, Koenig, Humboldt University Berlin, konigmatt@googlemail.com
Created: 2018-10-23 17:57
Modified: 2018-10-23 17:57

id	diauxic_bounds `meta_diauxic_bounds`
name	diauxic (BOUNDS)
time	h
substance	mmol
extent	mmol
volume	l
area	m2
length	m

L3V1 comp-V1

SBO:0000293
BQB_IS_VERSION_OF
GO:0006007

type	Ports [14]	name	referenced element	id ref	sbo
Port	dt_port dt_port <comp:port sboTerm="SBO:0000599" comp:idRef="dt" comp:id="dt_port" comp:name="port dt"/>	port dt	`Parameter: dt`	dt	SBO:0000599
Port	bioreactor_port bioreactor_port <comp:port sboTerm="SBO:0000599" comp:idRef="bioreactor" comp:id="bioreactor_port" comp:name="port bioreactor"/>	port bioreactor	`Compartment: bioreactor`	bioreactor	SBO:0000599
Port	Ac_port Ac_port <comp:port sboTerm="SBO:0000599" comp:idRef="Ac" comp:id="Ac_port" comp:name="port Ac"/>	port Ac	`Species: Ac`	Ac	SBO:0000599
Port	Glcxt_port Glcxt_port <comp:port sboTerm="SBO:0000599" comp:idRef="Glcxt" comp:id="Glcxt_port" comp:name="port Glcxt"/>	port Glcxt	`Species: Glcxt`	Glcxt	SBO:0000599
Port	O2_port O2_port <comp:port sboTerm="SBO:0000599" comp:idRef="O2" comp:id="O2_port" comp:name="port O2"/>	port O2	`Species: O2`	O2	SBO:0000599
Port	X_port X_port <comp:port sboTerm="SBO:0000599" comp:idRef="X" comp:id="X_port" comp:name="port X"/>	port X	`Species: X`	X	SBO:0000599
Port	lb_EX_Ac_port lb_EX_Ac_port <comp:port sboTerm="SBO:0000599" comp:idRef="lb_EX_Ac" comp:id="lb_EX_Ac_port" comp:name="port lb_EX_Ac"/>	port lb_EX_Ac	`Parameter: lb_EX_Ac`	lb_EX_Ac	SBO:0000599
Port	ub_EX_Ac_port ub_EX_Ac_port <comp:port sboTerm="SBO:0000599" comp:idRef="ub_EX_Ac" comp:id="ub_EX_Ac_port" comp:name="port ub_EX_Ac"/>	port ub_EX_Ac	`Parameter: ub_EX_Ac`	ub_EX_Ac	SBO:0000599
Port	lb_EX_Glcxt_port lb_EX_Glcxt_port <comp:port sboTerm="SBO:0000599" comp:idRef="lb_EX_Glcxt" comp:id="lb_EX_Glcxt_port" comp:name="port lb_EX_Glcxt"/>	port lb_EX_Glcxt	`Parameter: lb_EX_Glcxt`	lb_EX_Glcxt	SBO:0000599
Port	ub_EX_Glcxt_port ub_EX_Glcxt_port <comp:port sboTerm="SBO:0000599" comp:idRef="ub_EX_Glcxt" comp:id="ub_EX_Glcxt_port" comp:name="port ub_EX_Glcxt"/>	port ub_EX_Glcxt	`Parameter: ub_EX_Glcxt`	ub_EX_Glcxt	SBO:0000599
Port	lb_EX_O2_port lb_EX_O2_port <comp:port sboTerm="SBO:0000599" comp:idRef="lb_EX_O2" comp:id="lb_EX_O2_port" comp:name="port lb_EX_O2"/>	port lb_EX_O2	`Parameter: lb_EX_O2`	lb_EX_O2	SBO:0000599
Port	ub_EX_O2_port ub_EX_O2_port <comp:port sboTerm="SBO:0000599" comp:idRef="ub_EX_O2" comp:id="ub_EX_O2_port" comp:name="port ub_EX_O2"/>	port ub_EX_O2	`Parameter: ub_EX_O2`	ub_EX_O2	SBO:0000599
Port	lb_EX_X_port lb_EX_X_port <comp:port sboTerm="SBO:0000599" comp:idRef="lb_EX_X" comp:id="lb_EX_X_port" comp:name="port lb_EX_X"/>	port lb_EX_X	`Parameter: lb_EX_X`	lb_EX_X	SBO:0000599
Port	ub_EX_X_port ub_EX_X_port <comp:port sboTerm="SBO:0000599" comp:idRef="ub_EX_X" comp:id="ub_EX_X_port" comp:name="port ub_EX_X"/>	port ub_EX_X	`Parameter: ub_EX_X`	ub_EX_X	SBO:0000599

type	FunctionDefinitions [2]	name	math	sbo	cvterm
FunctionDefinition	max max <functionDefinition id="max" name="min"> <math xmlns="http://www.w3.org/1998/Math/MathML"> <lambda> <bvar> <ci> x </ci> </bvar> <bvar> <ci> y </ci> </bvar> <piecewise> <piece> <ci> x </ci> <apply> <gt/> <ci> x </ci> <ci> y </ci> </apply> </piece> <otherwise> <ci> y </ci> </otherwise> </piecewise> </lambda> </math> </functionDefinition>	min	$x y x x y y$
FunctionDefinition	min min <functionDefinition id="min" name="max"> <math xmlns="http://www.w3.org/1998/Math/MathML"> <lambda> <bvar> <ci> x </ci> </bvar> <bvar> <ci> y </ci> </bvar> <piecewise> <piece> <ci> x </ci> <apply> <lt/> <ci> x </ci> <ci> y </ci> </apply> </piece> <otherwise> <ci> y </ci> </otherwise> </piecewise> </lambda> </math> </functionDefinition>	max	$x y x x y y$

type	UnitDefinitions [14]	name	units	cvterm
UnitDefinition	h `meta_h` h <unitDefinition metaid="meta_h" id="h" name="hour"> <annotation> <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:vCard4="http://www.w3.org/2006/vcard/ns#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:bqmodel="http://biomodels.net/model-qualifiers/"> <rdf:Description rdf:about="#meta_h"> <bqbiol:is> <rdf:Bag> <rdf:li rdf:resource="http://identifiers.org/uo/UO:0000032"/> </rdf:Bag> </bqbiol:is> </rdf:Description> </rdf:RDF> </annotation> <listOfUnits> <unit kind="second" exponent="1" scale="0" multiplier="3600"/> </listOfUnits> </unitDefinition>	hour	$3600 s$	BQB_IS UO:0000032
UnitDefinition	g g <unitDefinition id="g" name="gram"> <listOfUnits> <unit kind="gram" exponent="1" scale="0" multiplier="1"/> </listOfUnits> </unitDefinition>	gram	$g$
UnitDefinition	m `meta_m` m <unitDefinition metaid="meta_m" id="m" name="meter"> <annotation> <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:vCard4="http://www.w3.org/2006/vcard/ns#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:bqmodel="http://biomodels.net/model-qualifiers/"> <rdf:Description rdf:about="#meta_m"> <bqbiol:is> <rdf:Bag> <rdf:li rdf:resource="http://identifiers.org/uo/UO:0000008"/> </rdf:Bag> </bqbiol:is> </rdf:Description> </rdf:RDF> </annotation> <listOfUnits> <unit kind="metre" exponent="1" scale="0" multiplier="1"/> </listOfUnits> </unitDefinition>	meter	$m$	BQB_IS UO:0000008
UnitDefinition	m2 `meta_m2` m2 <unitDefinition metaid="meta_m2" id="m2" name="cubic meter"> <annotation> <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:vCard4="http://www.w3.org/2006/vcard/ns#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:bqmodel="http://biomodels.net/model-qualifiers/"> <rdf:Description rdf:about="#meta_m2"> <bqbiol:is> <rdf:Bag> <rdf:li rdf:resource="http://identifiers.org/uo/UO:0000080"/> </rdf:Bag> </bqbiol:is> </rdf:Description> </rdf:RDF> </annotation> <listOfUnits> <unit kind="metre" exponent="2" scale="0" multiplier="1"/> </listOfUnits> </unitDefinition>	cubic meter	$m 2$	BQB_IS UO:0000080
UnitDefinition	l l <unitDefinition id="l" name="liter"> <listOfUnits> <unit kind="litre" exponent="1" scale="0" multiplier="1"/> </listOfUnits> </unitDefinition>	liter	$litre$
UnitDefinition	mmol mmol <unitDefinition id="mmol"> <listOfUnits> <unit kind="mole" exponent="1" scale="-3" multiplier="1"/> </listOfUnits> </unitDefinition>		$103 mole$
UnitDefinition	per_h per_h <unitDefinition id="per_h"> <listOfUnits> <unit kind="second" exponent="-1" scale="0" multiplier="3600"/> </listOfUnits> </unitDefinition>		$1 3600 s$
UnitDefinition	mmol_per_h mmol_per_h <unitDefinition id="mmol_per_h"> <listOfUnits> <unit kind="mole" exponent="1" scale="-3" multiplier="1"/> <unit kind="second" exponent="-1" scale="0" multiplier="3600"/> </listOfUnits> </unitDefinition>		$103 mole 3600 s$
UnitDefinition	mmol_per_hg mmol_per_hg <unitDefinition id="mmol_per_hg"> <listOfUnits> <unit kind="mole" exponent="1" scale="-3" multiplier="1"/> <unit kind="second" exponent="-1" scale="0" multiplier="3600"/> <unit kind="gram" exponent="-1" scale="0" multiplier="1"/> </listOfUnits> </unitDefinition>		$103 mole g 3600 s$
UnitDefinition	mmol_per_l mmol_per_l <unitDefinition id="mmol_per_l"> <listOfUnits> <unit kind="mole" exponent="1" scale="-3" multiplier="1"/> <unit kind="litre" exponent="-1" scale="0" multiplier="1"/> </listOfUnits> </unitDefinition>		$103 mole litre$
UnitDefinition	mmol_per_lg mmol_per_lg <unitDefinition id="mmol_per_lg"> <listOfUnits> <unit kind="mole" exponent="1" scale="-3" multiplier="1"/> <unit kind="litre" exponent="-1" scale="0" multiplier="1"/> <unit kind="gram" exponent="-1" scale="0" multiplier="1"/> </listOfUnits> </unitDefinition>		$103 mole g litre$
UnitDefinition	l_per_mmol l_per_mmol <unitDefinition id="l_per_mmol"> <listOfUnits> <unit kind="litre" exponent="1" scale="0" multiplier="1"/> <unit kind="mole" exponent="-1" scale="-3" multiplier="1"/> </listOfUnits> </unitDefinition>		$litre 103 mole$
UnitDefinition	g_per_l g_per_l <unitDefinition id="g_per_l"> <listOfUnits> <unit kind="gram" exponent="1" scale="0" multiplier="1"/> <unit kind="litre" exponent="-1" scale="0" multiplier="1"/> </listOfUnits> </unitDefinition>		$g litre$
UnitDefinition	g_per_mmol g_per_mmol <unitDefinition id="g_per_mmol"> <listOfUnits> <unit kind="gram" exponent="1" scale="0" multiplier="1"/> <unit kind="mole" exponent="-1" scale="-3" multiplier="1"/> </listOfUnits> </unitDefinition>		$g 103 mole$

type	Compartments [1]	name	size	constant	spatial dimensions	units	derived units	sbo	cvterm
Compartment	bioreactor bioreactor <compartment id="bioreactor" name="bioreactor" spatialDimensions="3" size="1" units="l" constant="true"/>	bioreactor	1.0	T	3	l	$litre$

type	Species [4]	name	compartment	hasOnlySubstanceUnits	boundaryCondition	constant	initialConcentration	units	substanceUnits	derivedUnits	sbo	cvterm
Species	Ac `meta_Ac` Ac <species metaid="meta_Ac" sboTerm="SBO:0000247" id="Ac" name="acetate" compartment="bioreactor" initialConcentration="1" substanceUnits="mmol" hasOnlySubstanceUnits="false" boundaryCondition="false" constant="false"> <annotation> <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:vCard4="http://www.w3.org/2006/vcard/ns#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:bqmodel="http://biomodels.net/model-qualifiers/"> <rdf:Description rdf:about="#meta_Ac"> <bqbiol:is> <rdf:Bag> <rdf:li rdf:resource="http://identifiers.org/sbo/SBO:0000247"/> <rdf:li rdf:resource="http://identifiers.org/chebi/CHEBI:15366"/> <rdf:li rdf:resource="http://identifiers.org/kegg.compound/C00033"/> </rdf:Bag> </bqbiol:is> </rdf:Description> </rdf:RDF> </annotation> </species>	acetate	bioreactor	F	F	F	1.0	mmol	mmol	$103 mole litre$	SBO:0000247	BQB_IS SBO:0000247; CHEBI:15366; C00033
Species	Glcxt `meta_Glcxt` Glcxt <species metaid="meta_Glcxt" sboTerm="SBO:0000247" id="Glcxt" name="glucose" compartment="bioreactor" initialConcentration="1" substanceUnits="mmol" hasOnlySubstanceUnits="false" boundaryCondition="false" constant="false"> <annotation> <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:vCard4="http://www.w3.org/2006/vcard/ns#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:bqmodel="http://biomodels.net/model-qualifiers/"> <rdf:Description rdf:about="#meta_Glcxt"> <bqbiol:is> <rdf:Bag> <rdf:li rdf:resource="http://identifiers.org/sbo/SBO:0000247"/> <rdf:li rdf:resource="http://identifiers.org/chebi/CHEBI:4167"/> <rdf:li rdf:resource="http://identifiers.org/kegg.compound/C00031"/> </rdf:Bag> </bqbiol:is> </rdf:Description> </rdf:RDF> </annotation> </species>	glucose	bioreactor	F	F	F	1.0	mmol	mmol	$103 mole litre$	SBO:0000247	BQB_IS SBO:0000247; CHEBI:4167; C00031
Species	O2 `meta_O2` O2 <species metaid="meta_O2" sboTerm="SBO:0000247" id="O2" name="oxygen" compartment="bioreactor" initialConcentration="1" substanceUnits="mmol" hasOnlySubstanceUnits="false" boundaryCondition="false" constant="false"> <annotation> <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:vCard4="http://www.w3.org/2006/vcard/ns#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:bqmodel="http://biomodels.net/model-qualifiers/"> <rdf:Description rdf:about="#meta_O2"> <bqbiol:is> <rdf:Bag> <rdf:li rdf:resource="http://identifiers.org/sbo/SBO:0000247"/> <rdf:li rdf:resource="http://identifiers.org/chebi/CHEBI:15379"/> <rdf:li rdf:resource="http://identifiers.org/kegg.compound/C00007"/> </rdf:Bag> </bqbiol:is> </rdf:Description> </rdf:RDF> </annotation> </species>	oxygen	bioreactor	F	F	F	1.0	mmol	mmol	$103 mole litre$	SBO:0000247	BQB_IS SBO:0000247; CHEBI:15379; C00007
Species	X `meta_X` X <species metaid="meta_X" id="X" name="biomass" compartment="bioreactor" initialConcentration="1" substanceUnits="mmol" hasOnlySubstanceUnits="false" boundaryCondition="false" constant="false"> <annotation> <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:vCard4="http://www.w3.org/2006/vcard/ns#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:bqmodel="http://biomodels.net/model-qualifiers/"> <rdf:Description rdf:about="#meta_X"> <bqbiol:is> <rdf:Bag> <rdf:li rdf:resource="http://identifiers.org/omit/OMIT:0018723"/> </rdf:Bag> </bqbiol:is> </rdf:Description> </rdf:RDF> </annotation> </species>	biomass	bioreactor	F	F	F	1.0	mmol	mmol	$103 mole litre$		BQB_IS OMIT:0018723

type	Parameters [18]	name	constant	value	unit	derived unit	sbo
Parameter	dt dt <parameter sboTerm="SBO:0000346" id="dt" value="0.1" units="h" constant="true"/>		T	0.1	h	$3600 s$	SBO:0000346
Parameter	lb_EX_Ac lb_EX_Ac <parameter sboTerm="SBO:0000625" id="lb_EX_Ac" value="-1000" units="mmol_per_h" constant="false"/>		F	-1000.0	mmol_per_h	$103 mole 3600 s$	SBO:0000625
Parameter	ub_EX_Ac ub_EX_Ac <parameter sboTerm="SBO:0000625" id="ub_EX_Ac" value="1000" units="mmol_per_h" constant="false"/>		F	1000.0	mmol_per_h	$103 mole 3600 s$	SBO:0000625
Parameter	lb_EX_Glcxt lb_EX_Glcxt <parameter sboTerm="SBO:0000625" id="lb_EX_Glcxt" value="-10" units="mmol_per_h" constant="false"/>		F	-10.0	mmol_per_h	$103 mole 3600 s$	SBO:0000625
Parameter	ub_EX_Glcxt ub_EX_Glcxt <parameter sboTerm="SBO:0000625" id="ub_EX_Glcxt" value="1000" units="mmol_per_h" constant="false"/>		F	1000.0	mmol_per_h	$103 mole 3600 s$	SBO:0000625
Parameter	lb_EX_O2 lb_EX_O2 <parameter sboTerm="SBO:0000625" id="lb_EX_O2" value="-15" units="mmol_per_h" constant="false"/>		F	-15.0	mmol_per_h	$103 mole 3600 s$	SBO:0000625
Parameter	ub_EX_O2 ub_EX_O2 <parameter sboTerm="SBO:0000625" id="ub_EX_O2" value="1000" units="mmol_per_h" constant="false"/>		F	1000.0	mmol_per_h	$103 mole 3600 s$	SBO:0000625
Parameter	lb_EX_X lb_EX_X <parameter sboTerm="SBO:0000625" id="lb_EX_X" value="-1000" units="mmol_per_h" constant="false"/>		F	-1000.0	mmol_per_h	$103 mole 3600 s$	SBO:0000625
Parameter	ub_EX_X ub_EX_X <parameter sboTerm="SBO:0000625" id="ub_EX_X" value="1000" units="mmol_per_h" constant="false"/>		F	1000.0	mmol_per_h	$103 mole 3600 s$	SBO:0000625
Parameter	lb_fba_EX_Ac lb_fba_EX_Ac <parameter id="lb_fba_EX_Ac" value="-1000" units="mmol_per_h" constant="false"/>		F	-1000.0	mmol_per_h	$103 mole 3600 s$
Parameter	lb_fba_EX_Glcxt lb_fba_EX_Glcxt <parameter id="lb_fba_EX_Glcxt" value="-10" units="mmol_per_h" constant="false"/>		F	-10.0	mmol_per_h	$103 mole 3600 s$
Parameter	lb_fba_EX_O2 lb_fba_EX_O2 <parameter id="lb_fba_EX_O2" value="-15" units="mmol_per_h" constant="false"/>		F	-15.0	mmol_per_h	$103 mole 3600 s$
Parameter	lb_fba_EX_X lb_fba_EX_X <parameter id="lb_fba_EX_X" value="-1000" units="mmol_per_h" constant="false"/>		F	-1000.0	mmol_per_h	$103 mole 3600 s$
Parameter	lb_kin_EX_Glcxt lb_kin_EX_Glcxt <parameter sboTerm="SBO:0000612" id="lb_kin_EX_Glcxt" value="-1000" units="mmol_per_h" constant="false"/>		F	-1000.0	mmol_per_h	$103 mole 3600 s$	SBO:0000612
Parameter	lb_kin_EX_O2 lb_kin_EX_O2 <parameter sboTerm="SBO:0000612" id="lb_kin_EX_O2" value="-1000" units="mmol_per_h" constant="false"/>		F	-1000.0	mmol_per_h	$103 mole 3600 s$	SBO:0000612
Parameter	Vmax_EX_O2 Vmax_EX_O2 <parameter id="Vmax_EX_O2" value="15" units="mmol_per_h" constant="true"/>		T	15.0	mmol_per_h	$103 mole 3600 s$
Parameter	Vmax_EX_Glcxt Vmax_EX_Glcxt <parameter id="Vmax_EX_Glcxt" value="10" units="mmol_per_h" constant="true"/>		T	10.0	mmol_per_h	$103 mole 3600 s$
Parameter	Km_EX_Glcxt Km_EX_Glcxt <parameter id="Km_EX_Glcxt" name="Km_vGlcxt" value="0.015" units="mmol_per_l" constant="true"/>	Km_vGlcxt	T	0.015	mmol_per_l	$103 mole litre$

type	Rules [6]		assignment	derived units
Rule	lb_kin_EX_Glcxt b61cf1ae8d05456699e36d2a1ed3271c <assignmentRule variable="lb_kin_EX_Glcxt"> <math xmlns="http://www.w3.org/1998/Math/MathML"> <apply> <divide/> <apply> <times/> <apply> <minus/> <ci> Vmax_EX_Glcxt </ci> </apply> <ci> Glcxt </ci> </apply> <apply> <plus/> <ci> Km_EX_Glcxt </ci> <ci> Glcxt </ci> </apply> </apply> </math> </assignmentRule>	=	$Vmax_EX_Glcxt Glcxt Km_EX_Glcxt Glcxt$	$0.001 mole 3600 s$
Rule	lb_kin_EX_O2 62870b9102574c9499ff5410bc39d653 <assignmentRule variable="lb_kin_EX_O2"> <math xmlns="http://www.w3.org/1998/Math/MathML"> <apply> <minus/> <ci> Vmax_EX_O2 </ci> </apply> </math> </assignmentRule>	=	$Vmax_EX_O2$	$103 mole 3600 s$
Rule	lb_EX_Ac 138ee19d9709489889504c331b649eb2 <assignmentRule variable="lb_EX_Ac"> <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:sbml="http://www.sbml.org/sbml/level3/version1/core"> <apply> <ci> max </ci> <ci> lb_fba_EX_Ac </ci> <apply> <divide/> <apply> <times/> <apply> <divide/> <apply> <divide/> <apply> <minus/> <ci> Ac </ci> </apply> <ci> X </ci> </apply> <cn sbml:units="l_per_mmol" type="integer"> 1 </cn> </apply> <ci> bioreactor </ci> </apply> <ci> dt </ci> </apply> </apply> </math> </assignmentRule>	=	$max lb_fba_EX_Ac Ac X 1 bioreactor dt$	$103 mole 3600 s$
Rule	lb_EX_X 76f341eadd984a629fc92ead9e073577 <assignmentRule variable="lb_EX_X"> <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:sbml="http://www.sbml.org/sbml/level3/version1/core"> <apply> <ci> max </ci> <ci> lb_fba_EX_X </ci> <apply> <divide/> <apply> <times/> <apply> <divide/> <apply> <divide/> <apply> <minus/> <ci> X </ci> </apply> <ci> X </ci> </apply> <cn sbml:units="l_per_mmol" type="integer"> 1 </cn> </apply> <ci> bioreactor </ci> </apply> <ci> dt </ci> </apply> </apply> </math> </assignmentRule>	=	$max lb_fba_EX_X X X 1 bioreactor dt$	$103 mole 3600 s$
Rule	lb_EX_Glcxt 610ae7a5d3a647d09be58b31632a9192 <assignmentRule variable="lb_EX_Glcxt"> <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:sbml="http://www.sbml.org/sbml/level3/version1/core"> <apply> <ci> max </ci> <ci> lb_kin_EX_Glcxt </ci> <apply> <divide/> <apply> <times/> <apply> <divide/> <apply> <divide/> <apply> <minus/> <ci> Glcxt </ci> </apply> <ci> X </ci> </apply> <cn sbml:units="l_per_mmol" type="integer"> 1 </cn> </apply> <ci> bioreactor </ci> </apply> <ci> dt </ci> </apply> </apply> </math> </assignmentRule>	=	$max lb_kin_EX_Glcxt Glcxt X 1 bioreactor dt$	$103 mole 3600 s$
Rule	lb_EX_O2 c6e8075e31264d39a176be0985b9c36b <assignmentRule variable="lb_EX_O2"> <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:sbml="http://www.sbml.org/sbml/level3/version1/core"> <apply> <ci> max </ci> <ci> lb_kin_EX_O2 </ci> <apply> <divide/> <apply> <times/> <apply> <divide/> <apply> <divide/> <apply> <minus/> <ci> O2 </ci> </apply> <ci> X </ci> </apply> <cn sbml:units="l_per_mmol" type="integer"> 1 </cn> </apply> <ci> bioreactor </ci> </apply> <ci> dt </ci> </apply> </apply> </math> </assignmentRule>	=	$max lb_kin_EX_O2 O2 X 1 bioreactor dt$	$103 mole 3600 s$