User:Jaroslaw Karcz/Modelling Sandbox: Difference between revisions
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==Introduction== | |||
The real world is dominated by complexity, especially biological systems | |||
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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. | |||
Revision as of 13:18, 16 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.
