a minimal model recapitulates RhoA activity dynamics and the phenotypic switch.
(A) Model for active RhoA dynamics. Interactions are represented with arrows, with the two main parameters of the model. (B) The three different RhoA dynamics are well fitted with one single free parameter, Geq/Kb. Dotted blue line: fitted curve, with gray line g(d) taken as input (optoPRG recruitment). Red line: RBD biosensor. (C) Complete model, adding Cdc42 to (A): the GEF PRG can activate both RhoA and Cdc42, but can also inhibit RhoA by directly binding to it. (D) Center, evolution of γ describing the phenotype (positive for retraction and negative for protrusion) against the free parameter Geq/Kb. Two representative dynamics are shown on the right and on the left for the same input gg(dd), for a low and high Geq/Kb. In grey, optoPRG recruitment to the membrane, in green, Cdc42 activity, in red, RhoA activity. (E) Map of the phenotype as function of the free parameter Geq/Kb and of the duration time between two pulses. (F) One example of two phenotypes controlled in the same cell. On the left, first ten minutes of the cell area in the illuminated region for different frequencies and intensities of activation (low frequency high power every 30s, high frequency low power every 15s). On the right, two representative timelapse of retraction (top) and protrusion (bottom), activation is shown with the white rectangle. Scale bar: 10μm. (G,H) Graphical conclusion on the model. (G) Balance between RhoA and Cdc42 activity is represented in function of GEF basal concentration (grey gradient), both at the basal state (top) and after optogenetic activation (bottom, with blue lightning). At low concentrations RhoA takes over. At high concentration, optoPRG binds to active RhoA and inhibits it (complex GR), which enables Cdc42 to take over. (H) Curve showing the difference between RhoA and Cdc42 activity as a function of the basal intensity of the GEF. Phenotypes are marked with the colors (blue, retraction and orange, protrusion). Optogenetic modulation happens on vertical line, with the blue range, which limits the possibility of switching from one phenotype to the other.