Dr Qiang Yu
Adjunct Fellow
Centre for Advanced Imaging
Research Associate
QUT
+61 7 334 60363
Researcher biography
My research involves simulation, modelling and experimental studies relating to anomalous diffusion in magnetic resonance imaging. I am currently working on the application of my models for fractional time and fractional space diffusion processes to real systems.
- Modelling and simulation of anomalous diffusion in magnetic resonance imaging.
- Mapping of anomalous diffusion parameters and understanding their meaning in the context of brain imaging.
- Mapping of diffusion in mouse brains from data acquired at 9.4T and 16.4T
- Mapping of diffusion in human brains from data acquired at 3T and 7T
Journal Articles
Yu, Qiang, Turner, Ian, Liu, Fawang and Moroney, Timothy (2022). A study of distributed‐order time fractional diffusion models with continuous distribution weight functions. Numerical Methods for Partial Differential Equations, 39 (1), 383-420. doi: 10.1002/num.22896
Yu, Qiang, Turner, Ian, Liu, Fawang and Vegh, Viktor (2022). The application of the distributed-order time fractional Bloch model to magnetic resonance imaging. Applied Mathematics and Computation, 427 127188, 127188. doi: 10.1016/j.amc.2022.127188
Chen, Yuli, Liu, Fawang, Yu, Qiang and Li, Tianzeng (2021). Review of fractional epidemic models. Applied Mathematical Modelling, 97, 281-307. doi: 10.1016/j.apm.2021.03.044
Wang, Qiong, Liu, Shuna, He, Chao, Zhuang, Xinshu, Yu, Qiang, Wang, Wen, Qi, Wei, Tan, Xuesong, Yuan, Zhenhong and Gao, Yi (2019). Recycled biorefinery system integrating phosphoric acid/acetone pretreatment of sugarcane bagasse with subsequent platform chemicals generation. BioResources, 14 (2), 4623-4638. doi: 10.15376/biores.14.2.4623-4638
Yu, Qiang, Reutens, David and Vegh, Viktor (2018). Can anomalous diffusion models in magnetic resonance imaging be used to characterise white matter tissue microstructure?. NeuroImage, 175, 122-137. doi: 10.1016/j.neuroimage.2018.03.052
Qin, Shanlin, Liu, Fawang, Turner, Ian W., Yang, Qianqian and Yu, Qiang (2018). Modelling anomalous diffusion using fractional Bloch-Torrey equations on approximate irregular domains. Computers & Mathematics with Applications, 75 (1), 7-21. doi: 10.1016/j.camwa.2017.08.032
Qin, Shanlin, Liu, Fawang, Turner, Ian, Vegh, Viktor, Yu, Qiang and Yang, Qianqian (2017). Multi-term time-fractional Bloch equations and application in magnetic resonance imaging. Journal of Computational and Applied Mathematics, 319, 308-319. doi: 10.1016/j.cam.2017.01.018
Qin, Shanlin, Liu, Fawang, Turner, Ian W., Yu, Qiang, Yang, Qianqian and Vegh, Viktor (2017). Characterization of anomalous relaxation using the time-fractional Bloch equation and multiple echo T2*-weighted magnetic resonance imaging at 7 T. Magnetic Resonance in Medicine, 77 (4), 1485-1494. doi: 10.1002/mrm.26222
Yu, Qiang, Reutens, David, O'Brien, Kieran and Vegh, Viktor (2017). Tissue microstructure features derived from anomalous diffusion measurements in magnetic resonance imaging. Human Brain Mapping, 38 (2), 1068-1081. doi: 10.1002/hbm.23441
Yu, Qiang, Vegh, Viktor, Liu, Fawang and Turner, Ian (2015). A Variable Order Fractional Differential-Based Texture Enhancement Algorithm with Application in Medical Imaging. PLoS One, 10 (7) e0132952, e0132952-e0132952. doi: 10.1371/journal.pone.0132952
Song, J., Yu, Q., Liu, F. and Turner, I. (2014). A spatially second-order accurate implicit numerical method for the space and time fractional Bloch-Torrey equation. Numerical Algorithms, 66 (4), 911-932. doi: 10.1007/s11075-013-9768-x
Yu Q., Liu F., Turner I. and Burrage K. (2014). Numerical simulation of the fractional Bloch equations. Journal of Computational and Applied Mathematics, 255, 635-651. doi: 10.1016/j.cam.2013.06.027
Yu Q., Liu F., Turner I. and Burrage K. (2013). Numerical investigation of three types of space and time fractional Bloch-Torrey equations in 2D. Central European Journal of Physics, 11 (6), 646-665. doi: 10.2478/s11534-013-0220-6
Yu, Q., Liu, F., Turner, I. and Burrage, K. (2013). Stability and convergence of an implicit numerical method for the space and time fractional Bloch-Torrey equation. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 371 (1990) 20120150, 20120150. doi: 10.1098/rsta.2012.0150
Yu, Q., Liu, F., Turner, I., Burrage, K. and Vegh, V. (2013). The use of a Riesz fractional differential-based approach for texture enhancement in image processing. The ANZIAM Journal, 54 (SUPPL), C590-C607. doi: 10.0000/anziamj.v54i0.6325
Yu, Q., Liu, F., Turner, I. and Burrage, K. (2012). A computationally effective alternating direction method for the space and time fractional Bloch-Torrey equation in 3-D. Applied Mathematics and Computation, 219 (8), 4082-4095. doi: 10.1016/j.amc.2012.10.056
Yu, Q, Song, J., Liu, F., Anh, V. and Turner, I. (2009). An approximate solution for the Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivative model using the Adomian decomposition method. Journal of Algorithms and Computational Technology, 3 (4), 553-572. doi: 10.1260/174830109789621310
Yu, Q., Liu, F., Anh, V. and Turner, I. (2008). Solving linear and non-linear space-time fractional reaction-diffusion equations by the adomian decomposition method. International Journal for Numerical Methods in Engineering, 74 (1), 138-158. doi: 10.1002/nme.2165
Conference Papers
Vegh, Viktor, Barrick, Thomas, Yang, Qianqian, Yu, Qiang and Cloos, Martijn (2023). Investigating the dot-compartment using diffusion MRI line scanning. Joint Annual Meeting ISMRM-ESMRMB ISMRT 31st Annual Meeting, London, United Kingdom, 7 - 12 May 2022. Berkeley, CA, United States: International Society for Magnetic Resonance in Medicine. doi: 10.58530/2022/4749
Yu, Q., Liu, F., Turner, I. and Burrage, K. (2011). Analytical and numerical solutions of the space and time fractional bloch-torrey equation. ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011, Washington, DC, United States, 28-31 August 2011. New York, NY, United States: ASMEDC. doi: 10.1115/DETC2011-47613
Yu, Qiang, Liu, Fa Wang, Turner, Ian and Vegh, Viktor (2011). The computational simulation of brain connectivity using diffusion tensor MRI. The 15th Biennial Computational Techniques and Applications Conference CTAC2010, Sydney , Australia, 28 November - 1 December, 2010. Cambridge, United Kingdom: Cambridge University Press.