# Team:Stockholm/Modelling/Model

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=== Yildirim N et al model === | === Yildirim N et al model === | ||

- | In a series of 5 equations, They proposed dynamics for mRNA production, <VAR>β</VAR>-galactosidase production, | + | In a series of 5 equations, They proposed dynamics for mRNA production, <VAR>β</VAR>-galactosidase production, allolactose, lactose for Lac operon. In their model they also considered transcriptional and translational delays (ie. <VAR>β</VAR>-galactosidase and <VAR>β</VAR>-galactoside permease production from mRNA is not instant and takes time). |

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- | This model can be simplified. Ahmadzadeh et al. 2005 proposed a simplified model of [http://www.ncbi.nlm.nih.gov/pubmed/12719218 Yildirim N et al 2002], where they ignored time delays for transcription and translation. For more simplification they also assumed that β-galactosidase and β-galactoside permease reach their steady state values instantly, ending up with 3 equations just for mRNA, | + | This model can be simplified. Ahmadzadeh et al. 2005 proposed a simplified model of [http://www.ncbi.nlm.nih.gov/pubmed/12719218 Yildirim N et al 2002], where they ignored time delays for transcription and translation. For more simplification they also assumed that β-galactosidase and β-galactoside permease reach their steady state values instantly, ending up with 3 equations just for mRNA, lactose and allolactose dynamics. Full description of the assumptions behind this simplification can be found at Ahmadzadeh et al. 2005 . |

[[image:Su_team_simplified_equation_sets.png|580px]] | [[image:Su_team_simplified_equation_sets.png|580px]] |

## Latest revision as of 02:19, 28 October 2010

## Which model?Here we will introduce the model proposed by Yildirim N et al 2002 a brief introduction to their model, then we will try to simplify it, declare some of our assumptions, apply our assumptions and continue with our gene expression model in bacteria as final stage. ## Yildirim N et al modelIn a series of 5 equations, They proposed dynamics for mRNA production,
Here, eq. (2) is the dynamics for mRNA, eq. (3) is dynamics for ## Simplified modelThis model can be simplified. Ahmadzadeh et al. 2005 proposed a simplified model of Yildirim N et al 2002, where they ignored time delays for transcription and translation. For more simplification they also assumed that β-galactosidase and β-galactoside permease reach their steady state values instantly, ending up with 3 equations just for mRNA, lactose and allolactose dynamics. Full description of the assumptions behind this simplification can be found at Ahmadzadeh et al. 2005 . |