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

Math Biosci Eng. 2019 Aug 9;16(6):7299-7326. doi: 10.3934/mbe.2019365.


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.

Keywords: CAR T-cell therapy; aggregate data; cancer model; design of experiments; inverse problems.

Publication types

  • Research Support, U.S. Gov't, Non-P.H.S.

MeSH terms

  • Algorithms
  • Animals
  • Computer Simulation
  • Humans
  • Immunotherapy, Adoptive*
  • Mice
  • Models, Theoretical
  • Neoplasm Transplantation
  • Neoplasms, Experimental / therapy*
  • Population Dynamics
  • Probability
  • Receptors, Chimeric Antigen / chemistry*
  • Reproducibility of Results
  • T-Lymphocytes / cytology*


  • Receptors, Chimeric Antigen