Modeling single cell trajectory using forward-backward stochastic differential equations
Fig 1
Colours in the scatter plots represent time where red is the earliest and blue is the latest time point. In the forward model, the population is modelled from left to right. In the backward model, the population evolves from right to left. The blue rectangle on top represents the TrajectoryNet framework by Tong et al [18] which is equivalent to half of one iteration of our FBSDE model. The FBSDE model iterates between the Forward and Backward models; traversing through the Forward model generates new simulated data points which are subsequently used as training set by the backward model and vice versa.