?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.title=Generalised+Hierarchical+Bayesian+Microstructure+Modelling+for+Diffusion+MRI&rft.creator=Powell%2C+E&rft.creator=Battocchio%2C+M&rft.creator=Parker%2C+CS&rft.creator=Slator%2C+PJ&rft.description=Microstructure+imaging+combines+tailored+diffusion+MRI+acquisition+protocols+with+a+mathematical+model+to+give+insights+into+subvoxel+tissue+features.+The+model+is+typically+fit+voxel-by-voxel+to+the+MRI+image+with+least+squares+minimisation+to+give+voxelwise+maps+of+parameters+relating+to+microstructural+features%2C+such+as+diffusivities+and+tissue+compartment+fractions.+However%2C+this+fitting+approach+is+susceptible+to+voxelwise+noise%2C+which+can+lead+to+erroneous+values+in+parameter+maps.+Data-driven+Bayesian+hierarchical+modelling+defines+prior+distributions+on+parameters+and+learns+them+from+the+data%2C+and+can+hence+reduce+such+noise+effects.+Bayesian+hierarchical+modelling+has+been+demonstrated+for+microstructure+imaging+with+diffusion+MRI%2C+but+only+for+a+few%2C+relatively+simple%2C+models.+In+this+paper%2C+we+generalise+hierarchical+Bayesian+modelling+to+a+wide+range+of+multi-compartment+microstructural+models%2C+and+fit+the+models+with+a+Markov+chain+Monte+Carlo+(MCMC)+algorithm.+We+implement+our+method+by+utilising+Dmipy%2C+a+microstructure+modelling+software+package+for+diffusion+MRI+data.+Our+code+is+available+at+github.com%2FPaddySlator%2Fdmipy-bayesian.&rft.subject=Bayesian+statistics%2C+Bayesian+hierarchical+model%2C+Microstructure+modelling%2C+Diffusion+MRI&rft.publisher=Springer&rft.contributor=Cetin-Karayumak%2C+S&rft.contributor=Christiaens%2C+D&rft.contributor=Figini%2C+M&rft.contributor=Guevara%2C+P&rft.contributor=Gyori%2C+N&rft.contributor=Nath%2C+V&rft.contributor=Pieciak%2C+T&rft.date=2021-09-25&rft.type=Proceedings+paper&rft.publisher=CDMRI+2021&rft.language=eng&rft.source=+++++In%3A+Cetin-Karayumak%2C+S+and+Christiaens%2C+D+and+Figini%2C+M+and+Guevara%2C+P+and+Gyori%2C+N+and+Nath%2C+V+and+Pieciak%2C+T%2C+(eds.)+Computational+Diffusion+MRI%3A+12th+International+Workshop%2C+CDMRI+2021%2C+Held+in+Conjunction+with+MICCAI+2021%2C+Strasbourg%2C+France%2C+October+1%2C+2021%2C+Proceedings.++(pp.+pp.+36-47).++Springer%3A+Cham%2C+Switzerland.+(2021)+++++&rft.format=text&rft.identifier=https%3A%2F%2Fdiscovery.ucl.ac.uk%2Fid%2Feprint%2F10135780%2F1%2Fsamplepaper.pdf&rft.identifier=https%3A%2F%2Fdiscovery.ucl.ac.uk%2Fid%2Feprint%2F10135780%2F&rft.rights=open