Modeling

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

1. Draw a sketch that describes the geometry of the model.
2. What general engineering field or fields does the model relate to (e.g. transport, solid mechanics, fluid mechanics, electrical engineering, probability).
3. What are the known parameters that will go into your model (inputs)?
4. 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)

1. 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.
2. Determine the relationship between the area under the curve (T vs. time) and the flow rate.
3. State any assumptions that were necessary in your analysis.

Steven A. Jones

Biomedical Senior Design

Louisiana Tech University

Last Updated February 22, 2005

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