Epithelial-to-mesenchymal transition proceeds through directional destabilization of multidimensional attractor

Abstract

How a cell changes from one stable phenotype to another one is a fundamental problem in developmental and cell biology. Epithelial-to-mesenchymal transition (EMT) is a phenotypic transition process extensively studied recently but mechanistic details remain elusive. Through time-lapse imaging we recorded single cell trajectories of human A549/Vim-RFP cells undergoing EMT induced by different concentrations of TGF-{beta} in a multi-dimensional cell feature space. The trajectories cluster into two distinct groups, indicating that the transition dynamics proceeds through parallel paths. We then reconstructed the reaction coordinates and corresponding pseudo-potentials from the trajectories. The potentials reveal a plausible mechanism for the emergence of the two paths as the original stable epithelial attractor collides with two saddle points sequentially with increased TGF-{beta} concentration, and relaxes to a new one. Functionally the directional saddle-node bifurcation ensures a CPT proceeds towards a specific cell type, as a mechanistic realization of the canalization idea proposed by Waddington.