This paper investigates the population dynamics of a system of identically prepared B cells whose proliferation trajectories have been individually tracked using live-cell imaging techniques. The main goal is to investigate whether the system behavior can be determined using an optimality criterion. In order to achieve this goal we assume the existence of an intracellular mechanism that controls all cell divisions after initial stimulation with the aim of optimizing some objectives within predefined constraints that include the initial number of cells in the system, as well as the total number of cell divisions observed in the response. Numerical experiments are carried out using recent data that combines cells in 14 different wells. For each well the curve representing the number of live cells over time, is accurately approximated by the optimal solution to the control problem proposed.
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