The package ProfileLikelihood.jl provide methods for generating perfect and noisy data, estimating parameters, generating profile likelihood, and finding confidence intervals of the estimated parameters. This package is written in mind for use in epidemiology, but it should work well for other fields such as systems biology. More information can be found at Raul et. al.'s "... exploiting the profile likelihood" which introduces the method of profile likelihood in the field of systems biology [1].
Documentation can be found at https://ph-kev.github.io/ProfileLikelihood.jl.
[1] A. Raue, C. Kreutz, T. Maiwald, J. Bachmann, M. Schilling, U. Klingmüller, J. Timmer, Structural and practical identifiability analysis of partially observed dynamical models by exploiting the profile likelihood, Bioinformatics, Volume 25, Issue 15, 1 August 2009, Pages 1923–1929, https://doi.org/10.1093/bioinformatics/btp358