Modeling single cell trajectory using forward-backward stochastic differential equations
Fig 2
Fig 2a and 2b) Comparison between precision and recall. Red circles represent observations and green circles represent simulations. In Fig 2a, a high precision model means that simulations are close to observations; however, there can be some observations without any simulations nearby. In Fig 2b, a high recall model means that most observations have some simulations nearby; however, there can be some simulations that are far away from any observations. Fig 2c and 2d) Comparison between OT and SDE. Filled circles represent cells from t = 0. Unfilled circles represent cells from t = 1. The red colour represents observations. The green colour represents simulations. Triangles indicated interpolated cells at time t = h. Fig 2c) OT infers the endpoints of a path and the trajectory is simply a straight line connecting the endpoints. OT can only infer paths whose endpoints come from observations. Fig 2d) SDE infers both linear and non-linear trajectories using differential equations. In addition, SDE also infers paths originating from points that are not observations (i.e., given an arbitrary starting point).