Quantifying the Length and Variance of the Eukaryotic Cell Cycle Phases by a Stochastic Model and Dual Nucleoside Pulse Labelling
Figure 8
as a function of
for fixed values of
For
(green circle) the real part of Q takes, depending on
a value in the interval
The values for x are increasing from A-D, while
and
remain unchanged. For relatively low values of
(A-B) the real part
is positive for
After one or several turns, i.e by increasing
the spiral can potentially cross the origin only once (empty circle). In A the spiral misses the origin, while in B the spiral crosses the origin after one turn. Crossing of the origin means that the corresponding complex number
is a root of Q. In C the spiral starts at the origin. This represents the only real positive root of Q. For initially negative values of
(D) the spiral can never cross the origin because the distance to the center point (gray circle) is already in the beginning for
larger than the distance between the latter and the origin. By increasing y this distance will even grow further according to Eq. 33.