Fig. 1
From: Efficient design of synthetic gene circuits under cell-to-cell variability
Cell behaviors relate to parameters at the individual and population level. A Dose-response relationships for single cells (lines) drawn from two distinct populations (red and orange) as well as other cells not belonging to any population (gray). The design objective for individual cells is represented by an ideal reference curve (black). B Space of individual parameters \(\beta\), the set of possible parameter values for a single cell. Dots show parametrizations yielding the behaviors in (A) of the corresponding color. The blue ellipse encloses the individual viable space where an individual cost measuring consistency of the single-cell behavior with the design objective for individual cells is below a threshold \(\varepsilon\). Red and orange dots encircled by ellipses represent individual cells drawn from the two distinct cell populations. C Space of population parameters \(\gamma\), where each parameter vector (dot) describes a full distribution of individual parameters in a population, typically via mean vector and covariance matrix. The orange (\(\gamma\)) and red (\(\gamma '\)) dots represent the population parameter vectors that generate the corresponding populations in (A, B)