# jan. 16, 2002

### Reminder

- Homework: Looking to the first article a give about Applets, Methods and Techniques;
- Homework: Reading the article about Simulation and Learning;
- Homework: Looking to the 26 parts of your simulation;
- Today: Some important aspects of models;
- This week: First steps in my room; make an appointment;
- Tomorrow: Take the two files from Rik Min;
- Day after tomorrow: Reading articles about parallellism and PI.

At this moment you have had: an introduction and a problem
- A -

**Conceptual representation of a mathematical model ('conceptual model') (concrete)**

**Conceptual representation of a mathematical model ('conceptual model') (abstract)**

**Continue ...**

**Black box of a model**

**Block scheme or black box model; variables (a), starting values (b), parameters and constants**

**Block scheme of the pressure changes in black box model of the aorta.**

**Analogue scheme of the pressure changes in the aorta. In such schemes you can see the 'cause' in relation to the 'result'.**

**Repeat**

t = t + dt;

Plv = Plvmax*Math.sin(2 * 3.14 * f * t);

if (Plv < 0.0) { Plv = 0.0}

Qao = 33 * (Plv - Pao);

if (Plv < Pao) {Qao = 0.0}

Pao = Vao / Cao;

dVaodt = Qao - Pao / RP;

Vao = Vao + dVaodt * dt;

**Until t > Tmax**

**Java way of notation.**
- B -

**The complete computer simulation program AORTA. One window with the conceptual model and 'inclick regions' and two 'output windows' with different graphical presentations of the model variables.**

click here

**The complete computer simulation program AORTA, version Rinske Stelwegen, 2001.**
- C -

**Learning model. There are six learning models in learning with simulations.**
- D -

**Repeat**

t = t + dt;

Plv = Plvmax*Math.sin(2 * 3.14 * f * t);

if (Plv < 0.0) { Plv = 0.0}

Qao = 33 * (Plv - Pao);

if (Plv < Pao) {Qao = 0.0}

Pao = Vao / Cao;

dVaodt = Qao - Pao / RP;

Vao = Vao + dVaodt * dt;

**Until t > Tmax**

**Make a black box model of this (with all the variables and all the parameters !)**