Multi-cell ECM compaction is predictable via superposition of nonlinear cell dynamics linearized in augmented state space
Fig 2
Comparison of nonlinear computational model, latent variable model, trajectory piece-wise linearization model, and taylor series expansion model for predicting a cell interacting with ECM.
A: The cell morphologies over time for the original full nonlinear simulation (green), the latent variable simulation using 100 latent variables (blue), the trajectory piecewise-linear model (TPWL) with 100 linearization points (purple) and the Taylor series expansion model (red). The Taylor series and TPWL model are not capable of representing cell morphologies without significant error (represented by *). B: Comparison of root mean squared error of latent variable model using 100 latent variables, TPWL model using κ = 100 linearization points and first order Taylor expansion model. C: The computation time and root mean squared error (σLV) of the latent variable model as a function of the number of latent variables used to create the model.