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 -
From a concept to a mathematical model
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 -
Demo
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 models
Learning model. There are six learning models in learning with simulations.
- D -
Test
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 !)