Profile likelihood analysis for a stochastic model of diffusion in heterogeneous media

@article{Simpson2021ProfileLA,
  title={Profile likelihood analysis for a stochastic model of diffusion in heterogeneous media},
  author={Matthew J. Simpson and Alexander P. Browning and Christopher C. Drovandi and Elliot J. Carr and Oliver J. Maclaren and Ruth E. Baker},
  journal={Proceedings. Mathematical, Physical, and Engineering Sciences},
  year={2021},
  volume={477}
}
We compute profile likelihoods for a stochastic model of diffusive transport motivated by experimental observations of heat conduction in layered skin tissues. This process is modelled as a random walk in a layered one-dimensional material, where each layer has a distinct particle hopping rate. Particles are released at some location, and the duration of time taken for each particle to reach an absorbing boundary is recorded. To explore whether these data can be used to identify the hopping… 
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