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The methods

In this section we will introduce both models briefly. For the derivation of the formulas we refer to appendix A

The starting point of both methods is the notion that the experimental output for some cell cycle trait ( tex2html_wrap_inline842 ) at time t is the average output of all individuals (Creanor & Mitchison, 1982, 1994) distributed over the cell cycle. Let tex2html_wrap_inline846 be the distribution function describing the collection of cells in state x at time t, and assume that tex2html_wrap_inline852 is the unique value of the trait of an individual cell in state x, then the average output can be written as

  equation46

where tex2html_wrap_inline856 is the set of attainable states. Our goal is to find tex2html_wrap_inline852 from the experimental time series tex2html_wrap_inline842 and experimental information about the distribution tex2html_wrap_inline846 . The methods differ in assumptions about the distribution function in eq. (1).





John Val
Mon Oct 14 15:36:06 EDT 1996