Difference between revisions of "User:Jaroslaw Karcz/Modelling Sandbox"
From OpenWetWare
(→Model Parameters) |
|||
Line 1: | Line 1: | ||
+ | ==THE KEY== | ||
+ | |||
+ | <math>\nabla \times \nabla \times v = ...</math><br> | ||
+ | <math>\Rightarrow \epsilon_{irs} \epsilon_{spq} (v_{q,p})_{r}</math><br> | ||
+ | <math>\Rightarrow \epsilon_{sir}\epsilon_{spq}v_{q,pr}</math>....cyclic permutation<br> | ||
+ | <math>\Rightarrow (\delta_{ip}\delta_{rq} - \delta_{iq}\delta_{rp})v_{q,pr}</math><br> | ||
+ | <math>\Rightarrow \delta_{ip}\delta_{rq}v_{q,pr} - \delta_{iq}\delta_{rp}v_{q,pr}</math><br> | ||
+ | <math>\Rightarrow \delta_{ip}v_{r,pr} - \delta_{iq}v_{q,rr}</math><br> | ||
+ | <math>\Rightarrow v_{r,ir} - v_{i,rr}</math><br> | ||
+ | |||
==Model Development== | ==Model Development== | ||
The process of modelling consists of a number of layers; the following is a description of the modelling workflow: | The process of modelling consists of a number of layers; the following is a description of the modelling workflow: |
Revision as of 19:16, 6 December 2007
THE KEY
....cyclic permutation
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
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 | Value | Description | Comment (literature, derived?) |
---|---|---|---|
k_{1} | x [units] | max. transcription rate of constitutive promoter (pTET) | Estimate |
k_{2} | |||
k_{3} | |||
k_{4} | |||
k_{5} | |||
k_{6} | x [units] | ||
0.029 hrs ^{-1} | degradation rate of GFP | Literature ~~ give reference |