====== Tutorial 3-Using index lists ======
===== 1/4 =====
**Overview**
In this tutorial we will explore the use of [[Index_list|index lists]] in modelling. It is recommended that you first read [[Tutorial_2-Creating_a_compartment_model|Tutorial 2-Creating a compartment model]], where a basic description of the concept of [[Material|Materials]] and [[Index_list|Index lists]] is given.
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**The conceptual model**
Consider a model that describes the turnover of a group of contaminants in a simple environmental system with two compartments: //Upper_Soil// and //Lower_Soil//. The contaminants enter the system from an atmospheric source via deposition on upper soil. This is represented in the model using a parameter called “input”, which has different values for different contaminants.
The transfer rate from the //Upper_Soil// to //Lower_Soil// is represented in the model with the help of a parameter “TC”. The same parameter is used to determine the transfer rate out from the system.
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**The mathematical model**
The following ordinary differential equations describes the mass balance of the contaminants in the upper soil layer:
//dAUpper Soil/dt = Input - TCUpper to Lower * AUpper Soil\\
dALower Soil/dt = TCUpper to Lower * AUpper Soil - TCLower to Sink * ALower Soil//\\
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where:\\
//AUpper Soil// is the contaminant inventory in the upper soil layer.\\
//ALower Soil// is the contaminant inventory in the lower soil layer.\\
//Input// is the contaminant deposition rate.\\
//TC//Upper to Lower is the transfer rate from the upper to the lower soil layer.\\
//TC//Lower to Sink is the transfer rate of contaminants leaving the system from the lower soil layer.\\
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**Next**
* [[Tutorial_3-Creating_the_model_objects|Creating the model objects (2/4)]]
**References**
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