Several factors affect the workings of the kidneys. For example, Figure P4.14 shows how a step change in arterial flow pressure affects renal blood flow in rats. In the “hot tail” part of the experiment, peripheral thermal receptor stimulation is achieved by inserting the rat’s tail in heated water. Variations between different test subjects are indicated by the vertical lines. It has been argued that the “control” and “hot tail” responses are identical except for their steady-state values (DiBona, 2005).

a. Using Figure P4.14, obtain the normalized (C_final = 1) transfer functions for both responses.

b. Use MATLAB to prove or disprove the assertion about the “control” and “hot tail” responses.

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0.030 0.025 0.020 0.015 0.010 0.005 --0- HOT TAIL CONTROL 0.000 2 3 4 5 6 Time (sec) FIGURE P4.1410 asuodsai das