Modeling and Estimation of Amnioserosa Cell Mechanical Behavior Using Moving Horizon Estimation

Dorsal closure is an essential step during Drosophila development through which a hole is sealed in the dorsal epidermis and serves as a model for cell sheet morphogenesis and wound healing. It involves the dynamic regulation of cell machinery to bring about shape changes, mechanical forces, and emergent properties. In this paper a modeling framework is developed to provide insights into the regulation of dorsal closure. Towards this end, a moving horizon estimator is used to estimate the cell's dynamics written under the form of quasi-linear parameter-varying system with bounded unknown parameter. We perform estimation through the minimization of the least-squares moving horizon cost w.r.t both state variables and variable parameter simultaneously. Simulation results are reported to verify the derived results.