‘Repeat it with me’ 2022-23 Reproducibility Team Challenge: Sensitivity Analysis of the Bloch Equations

Motivation: Inverse problems in MRI require estimation of the Bloch equation partial derivatives, however robust computation is challenging. Sensitivity analysis offers accurate and numerically stable derivatives to overcome this. Goal(s): To replicate and validate previous work, and examine functionality of the BART toolbox and use of collaborative platforms such as GitHub for reproducing research. Approach: A direct replication was attempted following methodology from a previous ISMRM abstract, and an accompanying preprint and GitHub repository. Results: Both replicators successfully recreated all abstract figures. Replication of difference quotient and sensitivity analysis derivatives was achieved within the predefined normalised root mean square error tolerances. Impact: Successful replication further validates novel work in computing partial derivatives of the Bloch Equations. Collaborative platforms such as GitHub can improve existing software and resources when reproducing research. This enables wider dissemination, enhancing ease-of-use for other researchers in future applications.