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Unformatted text preview: and S ( t ) a signal that we can control. At time 0, X = Y = Z = 0, and S ( t ) = 1 for t > 0. At what time do X , Y , and Z each reach their half-maximal values? Define K = " (1 / )ln[1 " K / ( / )] as the time to get from 0 to K , and 1/2 = (1 / )ln 2 as the time to get from 0 to half maximum. X : 1/2 Y : K + 1/2 Z : 2 K + 1/2 5. (2 pts) Same question as 4, but now X , Y , and Z start at their maximal values at time 0, and S ( t ) = 0 for t > 0. At what time do X , Y , and Z decay to their half-maximal values? Re-define K = (1 / )ln[( / ) / K ] and keep 1/2 = (1 / )ln 2 . Here Z decays with Y due to AND logic. X : 1/2 Y : K + 1/2 Z : K + 1/2...
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This note was uploaded on 03/30/2010 for the course SBE 580.429 taught by Professor Joelbader during the Fall '09 term at Johns Hopkins.
- Fall '09