Noncommutative Biology: Sequential Regulation of Complex Networks
Fig 8
Sequential logic on regulatory landscapes.
(A) The regulatory landscape for the 2-mRNA system X1, X2 for two hypothetical paths with configurations represented by balls. It is difficult to directly increase X2 because of a potential barrier (top). In the roundabout path (bottom), visiting two intermediate configurations via K1 K2 P1 results in an altered regulatory landscape. (B) The initial and final configurations in (A) projected onto (X1, X2) space (left) and (X1, X2, V1) space (right). The regulators affect not only X1 and X2, but also an additional variable, denoted V1, that alters the landscape of X1 and X2. The arrows indicate the instantaneous direction of the trajectory.