Multi-term time-fractional Bloch equations and application in magnetic resonance imaging
作者：
Highlights：
• We consider anomalous relaxation processes of human tissue.
• We explore the utility of the multi-term time-fractional Bloch equations.
• We proposed an effective predictor–corrector method to solve MTTFBE.
• A feasible parameter estimation method was introduced.
• The extra time-fractional terms provide flexibility in the relaxation process.
摘要
•We consider anomalous relaxation processes of human tissue.•We explore the utility of the multi-term time-fractional Bloch equations.•We proposed an effective predictor–corrector method to solve MTTFBE.•A feasible parameter estimation method was introduced.•The extra time-fractional terms provide flexibility in the relaxation process.
论文关键词：26A33,65Kxx,33F05,Multi-term time-fractional Bloch equations,MRI,Anomalous relaxation,Fractional predictor–corrector method,Parameter estimation,Hybrid simplex search and particle swarm optimisation
论文评审过程：Received 5 July 2016, Revised 23 December 2016, Available online 21 January 2017, Version of Record 4 February 2017.
论文官网地址：https://doi.org/10.1016/j.cam.2017.01.018
