AORTA, version JavaTHESIS 3.3x.

Atherosclerosis in relation to compliance and peripheral resistance

by J. Sikken, B. Reimerink & R. Min, sept. 1997

Here appears a button for the simulator of AORTA with a young, normal male person (an 'applet'). Downloading the applet costs 10 to 30 seconds on the WEB. It depends on your system and the moment of the day. The simulator itselfs will comes automatically if you press the button. This program is an applet, writen in Java. More information about the model and the eductional aim is showed at the end of this page.

Information about the model and users instruction

As an example of the various ways of representation of a simple model from the medical section are shown here. The model will be functionally described without really going into detail. For a description of the educational possibilities of this model the reader is referred to the description of the computer simulation program AORTA by Min and Struyker Boudier elsewere.

Educational aim

In early phase of their studies medical students can familiarize themselves with some basic concepts from hemodynamics and some aspects of arteriosclerosis. In using this program an answer is given to questions like The opposite can also be an educational goal, namely the question as to what is the cause of the deviating picture of the diastolic pressure in the aorta. Students learn to handle notions like compliance and total peripheral resistance and changes there in. Students are supposed to be able to formulate questions and/or hypotheses and to verify these hypotheses with the help of this simulation program.

Within the framework of a course about arteriosclerosis, case studies has been developed about the hardening of the wall of the aorta and the increased total resistance of the peripheral circulation. In this case study the students themselves have to recognize that the mean peripheral stream has changed and they have to try to restore it by adapting the pressure of the ventricle. The program is intended to teach the students how to deal with basal hemodynamic relations such as between pressure, compliance and volume and those between stream, resistance and pressure and to determine the consequences of interventions in hemodynamic variables.

Introduction in the model

As an example of the various ways of representation of a simple model from the medical section are shown here. The model will be functionally described without really going into detail. For a description of the educational possibilities of this model the reader is referred to the description of the computer simulation program AORTA by Min and Struyker Boudier elsewere.

Educational aim

In early phase of their studies medical students can familiarize themselves with some basic concepts from hemodynamics and some aspects of arteriosclerosis. In using this program an answer is given to questions like The opposite can also be an educational goal, namely the question as to what is the cause of the deviating picture of the diastolic pressure in the aorta. Students learn to handle notions like compliance and total peripheral resistance and changes there in. Students are supposed to be able to formulate questions and/or hypotheses and to verify these hypotheses with the help of this simulation program.

Within the framework of a course about arteriosclerosis, case studies has been developed about the hardening of the wall of the aorta and the increased total resistance of the peripheral circulation. In this case study the students themselves have to recognize that the mean peripheral stream has changed and they have to try to restore it by adapting the pressure of the ventricle. The program is intended to teach the students how to deal with basal hemodynamic relations such as between pressure, compliance and volume and those between stream, resistance and pressure and to determine the consequences of interventions in hemodynamic variables.

Conceptual model (visual and textual)

The conceptual model of a beating aorta of a human being looks like the drawing in figure xxx. The aorta is the great artery which springs from the left ventricle in the heart. The heart pumps (with a certain pressure, here Plv) a quantity of blood through the human body with each heart beat (Qao) attended by a change in pressure in the aorta. The aorta itself is elastic. The quantity which plays a role in the elasticity of the aorta is compliance (Cao). There is a connection between the form of the changes in pressure in the aorta and compliance. Furthermore there is a connection between the blood pressure in the aorta (Pao), the quantity of blood which flows through the aorta (Qao) and the resistance offered by the body (the peripheral resistance, Rp). The interesting variable to be measured externally, 'the pulse pressure', is practically equal to the pressure of the aorta. This pressure varies considerably and is very characteristic.

Block scheme of the model

An inventory of this model, textual represented above, gives the following results:

The conceptual scheme of AORTA

Integral equation of the model

One can speak of one output variable, one input variable, three state variables and four (model)parameters which can serve as intervention possibilities. The model in the form of a system of integral equations

Plv = Plvmax * sin (2 * 3,14 * f * t); ( if Plv < 0 then Plv = 0.0 !)
Qao = 33 * (Plv - Pao); ( if Plv < Pao then Qao = 0.0 !)
Qp = Pao / Rp
Vao = int { (Qao - Qp) . dt } + Vao(0)
Pao = Vao / Cao

For the sake of convenience, the input variable is approached by half a sinus.

Analogue notation

Of this model a complete analogue scheme can be made. The non-linear function of conveyance is represented by a (non-linear) function block.

Java notation

The model in the Java notation way looks as follows, apart from details:

	t = 0.0;
	
	Plv = 120.0; <--- model variables 
	Qao = ....;
	Pao = 80.0;
	Vao = 80.0;
	
	Rp = 1.25; <--- model parameters 
	Cao = 1.1; 
	f = 1.0; 
	PlvMax = 120.0; 
	
	Tmax = 4.0;  <--- program constants 
	dt = 0.02;

inside the repeat or while-loop the model (Until t > Tmax):
The integration statements (here only one) are best all taken at the end, so that it is certain that the old and new values of the variables will not become mixed up.

Results

The blood pressure can be seen at specific and characteristic values of peripheral resistance (Rp) and compliance (Cao). In one case built in the program it can be seen that the pressure during the systole has become high and in a second case the medical student can see that the pressure during the diastole is low. A first year medical student has to be able to diagnose in the first case of these 'clinical pictures' that something is wrong with the peripheral resistance and in the second case with the compliance. After that an experiment has to show if a change (upwards or downwards) of the peripheral resistance of compliance brings any improvement. If the 'patient' only becomes worse the students' hypothesis was wrong.

Some examples (in Dutch): een 'opdracht', een 'casus' & een opdracht voor een 'wetenschappelijk experiment'

Print deze opdrachten uit op papier en gebruik deze papieren opdrachten naast de computer; naast de browser

A. Een voorbeeld van een 'opdracht'