**Modeling**

1. Give an example of a physiological
model that is relevant to your device:

- Draw a sketch that describes
the geometry of the model.
- What general engineering field
or fields does the model relate to (e.g. transport, solid mechanics, fluid
mechanics, electrical engineering, probability).
- What are the known parameters
that will go into your model (inputs)?
- What quantitative data will be
sought through the use of the model?

2. Give an example of a
non-physiological model that is relevant to your device, and do a. through d.
above for this model.

3.
To
measure cardiac output, a physician inserts a catheter into the left atrium,
injects saline at room temperature, and measures the temperature in the
aorta. Assume that the situation can be
modeled as below:

Complete Mixing within Heart

Blood Flow Out, T=T

_{out}(t)

- Derive an expression for the
temperature T
_{out}as a function of time, assuming that the saline inflow is constant for a given period of time (t_{in}) and zero otherwise. - Determine the relationship
between the area under the curve (T vs. time) and the flow rate.
- State any assumptions that were
necessary in your analysis.

*Steven A. Jones*

*Biomedical Senior
Design*

*Louisiana** **Tech** **University*

*Last Updated **February 22, 2005*