mellor1

reaction_1

LOX1

species_1 > {0.574}species_7 + {0.144}species_8 + {0.05}species_9 + {0.012}species_10 + {0.162}species_11 + {0.04}species_12 + {0.014}species_13 + {0.004}species_14

reaction_2

LOX2

species_1 > {0.751}species_7 + {0.023}species_8 + {0.025}species_9 + {0.015}species_10 + {0.127}species_11 + {0.026}species_12 + {0.018}species_13 + {0.016}species_14

reaction_3

LOX3

species_1 > {0.068}species_7 + {0.059}species_8 + {0.136}species_9 + {0.107}species_10 + {0.218}species_11 + {0.218}species_12 + {0.098}species_13 + {0.097}species_14

reaction_4

HPL

species_7 > species_15

reaction_5

HPL(RZE)

species_8 > species_15

Global parameters

Assignment rules

parameter_9 = 0.135 * parameter_8

Function definitions

function_1(substrate, Km, V) = V * substrate / (Km + substrate)

Note that constraints are not enforced in simulations. It remains the responsibility of the user to verify that simulation results satisfy these constraints.


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Reduction of off-flavor generation in soybean homogenates: a mathematical model.

  • Nathan Mellor
  • Frances Bligh
  • Ian Chandler
  • Charlie Hodgman
J. Food Sci. 2010; 75 (7):
Abstract
UNLABELLED: The generation of off-flavors in soybean homogenates such as n-hexanal via the lipoxygenase (LOX) pathway can be a problem in the processed food industry. Previous studies have examined the effect of using soybean varieties missing one or more of the 3 LOX isozymes on n-hexanal generation. A dynamic mathematical model of the soybean LOX pathway using ordinary differential equations was constructed using parameters estimated from existing data with the aim of predicting how n-hexanal generation could be reduced. Time-course simulations of LOX-null beans were run and compared with experimental results. Model L(2), L(3), and L(12) beans were within the range relative to the wild type found experimentally, with L(13) and L(23) beans close to the experimental range. Model L(1) beans produced much more n-hexanal relative to the wild type than those in experiments. Sensitivity analysis indicates that reducing the estimated K(m) parameter for LOX isozyme 3 (L-3) would improve the fit between model predictions and experimental results found in the literature. The model also predicts that increasing L-3 or reducing L-2 levels within beans may reduce n-hexanal generation.
PRACTICAL APPLICATION: This work describes the use of mathematics to attempt to quantify the enzyme-catalyzed conversions of compounds in soybean homogenates into undesirable flavors, primarily from the compound n-hexanal. The effect of different soybean genotypes and enzyme kinetic constants was also studied, leading to recommendations on which combinations might minimize off-flavor levels and what further work might be carried out to substantiate these conclusions.
The SBML for this model was obtained from the BioModels database (BioModels ID: BIOMD0000000415) Biomodels notes: n-hexanal concentration (relative to the maximum wild-type value (4.89e-005)) i.e. Figure 3A of the reference publication has been reproduced here. The model corresponds to the wild-type (L123) beans and reproduces the plot that corresponds to L123 (blue) in the figure. In order to obtain the plots for the mutants the following changes are to be made in the model. L23 ; set Km(L1)& Vm(L1) to "0" L13 ; set Km(L2)& Vm(L2) to "0" L12 ; set Km(L3)& Vm(L3) to "0" L2 ; set Km(L1), Vm(L1), Km(L3) & Vm(L3) to "0". The model was simulated using SBMLsimulator 1.0. JWS Online curation: This model was curated by reproducing the figures as described in the BioModels Notes. No additional changes were made.