User:Jaroslaw Karcz/Modelling Sandbox: Difference between revisions
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== Model Parameters == | == Model Parameters == | ||
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! Parameter | ! Parameter | ||
! Symbol | |||
! Value | ! Value | ||
! | ! Comment | ||
|- | |- | ||
| c<sub>1</sub><sup>max</sup> | | c<sub>1</sub><sup>max</sup> | ||
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| max. transcription rate of constitutive promoter (per gene) | | max. transcription rate of constitutive promoter (per gene) | ||
| promoter no. J23105; Estimate | | promoter no. J23105; Estimate | ||
|- | |- | ||
| l<sup>hi</sup> | | l<sup>hi</sup> | ||
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| high-copy plasmid number | | high-copy plasmid number | ||
| Estimate | | Estimate | ||
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<br> | <br> |
Revision as of 06:55, 20 October 2007
Model Development
The process of modelling consists of a number of layers; the following is a description of the modelling workflow:
- Definition of the problem
- Verification of information available
- Selection of model structure
- Establishing a simple model
- Sensitivity analysis
- Experimental tests of the model predictions
- Stating the agreements and divergences between experimental and modelling results, including any emergent behaviour
- Iterative refinement of model
[math]\displaystyle{ f_{obj}(k) = \sum_{i=1}^q (f_{obs}(i) - f_{per}(i,k))^2 }[/math]
Introduction
The real world is dominated by complexity, especially biological systems
Mathematical modelling and computer simulations provide a means of understanding the innate funtioning of system - dynamics, and to arrive at well-founded predictions about their future development and the effect of interactions with the environment.
So what is a model? A model is an abstract representation of objects and processes that explain the features/nature of these objects or processes. We present the model of our construct, as a system of differential equations to describe the dynamics of that network.
Model Parameters
Parameter | Symbol | Value | Comment |
---|---|---|---|
c1max | 0.01 [mM/h] | max. transcription rate of constitutive promoter (per gene) | promoter no. J23105; Estimate |
lhi | 25 | high-copy plasmid number | Estimate |