Figure 7.

Identifying the dimensionality of the models. (A) Shown is the probability of length plot for our simulation versus analytic expression from (38,39). (B) Shown is the plot of the singular values for three different cases: in red, our five parameter microtubule model; in blue, five random five-dimensional vectors; in green, length and decay constant observables. (C) The first column is the leading vector for the highest singular value for the microtubule system. The lateral bond and longitudinal bond are the controlling parameters. The second column is the leading vector for the second highest singular value for the microtubule system. The on-rate constant and the energy penalty after hydrolysis are the controlling parameters. Note: the SVD vector percent plotted is the absolute value of the parameter component. To see this figure in color, go online.