100 



TEMPORAL ORGANIZATION IN CELLS 



Since 



1+ 



T 



V.}h 



we get 



A^ = 



•+ 





(26^ 



[TTC; 



(48) 



Thus we see that as ^^0, A+-^0; and as 6 gets larger so does the mean positive 

 amplitude, increasing without bound as 6 does so. The complement of this 

 function measures the mean amplitude of the variable over its negative value: 







dv 



-Pi 



-Pi 

 Pi 



Pi pj 



^cipm 



(0cii2yi'-Pi 







(l_e-^^.PiV2) 



\/tt 



-erfc 



12 



)"■"! 



2& 



12 



(l-e-"'/'-2) 



V'"' 



e//c 



26 







1 2 



(49) 



It is readily verified that as d-^Q, A--^0, which is the behaviour we expect 

 since the oscillations get smaller and smaller in this limit. However, as 6 

 increases to very large values the behaviour of A- is not so obvious. The first 

 factor in the numerator increases without bound in this limit, the second factor 

 approaches zero, and the denominator likewise approaches zero. Writing again 

 j3 = 1/0 we want to evaluate the limit 



1 --g-CiPi'P/2 



lim (^CiV- 



{Pcil2)Pi 



■m' I 



e-"dt 



