Patent ID: 8660823

Claim:
A non-transitory computer readable medium comprising computer modeling software for use in the study of the dynamic behavior of biochemical signaling pathways, the computer modeling software having instructions configured for execution on a computer, comprising: a computer representation of a nonlinear model representing at least one biochemical signaling pathway, the computer representation comprising: a first set of computer instructions for transforming the computer representation into at least portions of a bilinear dynamical system representation comprising a multiplicative input, the portions comprising at least a linear transformation matrix and a multiplicative product term associated with the multiplicative input; a second set of computer instructions for using the portions to numerically compute a series of Lie bracket operations associated with the bilinear dynamical system representation, the computed series of Lie bracket operations resulting in a finite set of matrices; and a third set of computer instructions for using the Lie bracket operations to determine the controllability of the model with respect to variations in the multiplicative input, wherein the susceptibility of biochemical signaling pathway to selected disturbance effects is associated with the controllability of the model with respect to variations in the multiplicative input.