Homework 8 problems

Homework 8 problems - BME 100L-01 Modeling cellular and...

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BME 100L-01 Modeling cellular and molecular systems Spring 2010 Homework 8. 1) In general, the input-output characteristics of transcriptional control can be quantitatively described by the fold-change function (F), defined as the ratio of the transcription rate in the presence of the transcription factor to that in the absence of the transcription factor: 1 2 1 1 n n aA F , where 1) A is the concentration of the transcription factor, 2) n is the effective Hill coefficient, and 3) a 1 > a 2 for activators and a 1 < a 2 for repressors. (a) Use nM as the concentration unit, what units should a 1 and a 2 have? (b) For n = 1 (no cooperativity in binding), derive the logarithmic sensitivity as function of A . Recall: ln ln F s A by definition. (c) For n = 1 . Plot F vs A on both linear-linear and log-log plots for a 1 = 0.01, a 2 = 0.001, 0.1, 1 over the range A = 1-1000nM. Plot corresponding s vs A on linear-log plots (i.e. use log scale in the X-axis and linear scale in the Y-axis).
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Homework 8 problems - BME 100L-01 Modeling cellular and...

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