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Estimation of probability distributions of parameters using aggregate population data: analysis of a CAR T-cell cancer model

1 Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC 27695, USA
2 H. Lee Moffitt Cancer Center & Research Institute, Tampa, FL 33612, USA

In this effort we explain fundamental formulations for aggregate data inverse problems requiring estimation of probability distribution parameters. We use as a motivating example a class of CAR T-call cancer models in mice. After ascertaining results on model stability and sensitivity with respect to parameters, we carry out first elementary computations on the question how much data is needed for successful estimation of probability distributions.
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