====== Tutorial 2 - Creating a compartment model ======



===== 1/7 =====

**Overview**

In this tutorial we will create a simple system consisting of two compartments. After creating the basic objects we will vectorize the model.

**Mathematical model**

Consider a tank of a fixed volume that contains contaminated water. A “healthy” fish is placed in the tank, and is thus also contaminated. The mass balance for the contaminating substance will then be:

//dM<sub>water</sub>/dt = -k<sub>uptake</sub> * M<sub>water</sub> + k<sub>excretion</sub> * M<sub>fish</sub>\\
dM<sub>fish</sub>/dt = -k<sub>excretion</sub> * M<sub>fish</sub> + k<sub>uptake</sub> * M<sub>water</sub>//
where

^Symbol                   ^Name                   ^Type     ^
|//k<sub>excretion</sub>//|excretion rate constant|Parameter|
|//k<sub>uptake</sub>//   |uptake rate constant   |Parameter|

\\

**Next**

  * [[Tutorial_2-Creating_compartments|Creating compartments (2/7)]]

**References**

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