Fig. 6: Each coagulation factor has a unique effect on system dynamical behavior as described by the movement of pole locations, and is often accompanied by nonlinear limitations, for instance, saturation.

The dots in each panel show complex plane pole locations for the transfer function (1) fitted to experimental CATs using the MATLAB Simulink Design Optimization (SDO) toolbox. The three poles of each fit are shown with the same color. a Pole locations of the fitted transfer functions for 20 normal plasma samples, dataset 4, with inputs of 1 pM TF, 5 pM TF, and 20 pM TF; and 40 trauma patient plasma samples, dataset 5, each with an input 5 pM TF. Higher initial TF concentrations move poles away from the origin, and higher initial TF concentrations in normal samples replicate the effects of trauma. b Increasing the concentration of factor II in two normal plasma samples moves system poles toward the origin, while increasing the concentration of factors VIII and X in normal plasma samples moves poles away from the origin. c Saturation in pole movement is evident for increasing concentrations of factors VIII and X in normal plasma samples. For b, c numbers in the legend indicate coagulation factor concentration reported as percent activity.