Research Areas

1. Travelling wave solutions of nonlinear evolution equations;

2. PDEs-derived algorithms on image processing;

3. MRI reliability theory of human brain mapping

Publications

1. Wu YP, Xing XX. The stability of travelling fronts for general scalar viscous balance law. J. Math. Anal. Appl., 305 (2005), 698–711.

2. Wu YP, Xing XX, Ye QX. Stability of travelling waves with algebraic decay for n-degree Fisher-type equations. Discrete Contin. Dyn. Syst., 16 (2006), 47-66.

3. Wu YP, Xing XX. Stability of traveling waves with critical speeds for p-degree Fisher-type equations. Discrete Contin. Dyn. Syst., 2 (2008), 1123-1139.

4. Xing XX, Zhou YL, Adelstein JS, Zuo XN. PDE-based spatial smoothing: a practical demonstration of impacts on MRI brain extraction, tissue segmentation and registration. Magn. Reson. Imaging, 29 (2011), 731-738.

5. Zuo XN, Xing XX. Effects of non-local diffusion on structural MRI preprocessing and default network mapping: statistical comparisons with isotropic/anisotropic diffusion. PLoS One, 6 (2011), e26703.

6. Zuo XN, Xing XX. Test-retest reliabilities of resting-state FMRI measurements in human brain functional connectomics: a systems neuroscience perspective. Neurosci. Biobehav. Rev., 45 (2014), 100-118.

7. Xu T, Yang Z, Jiang LL, Xing XX, Zuo XN. A Connectome Computation System for discovery science of brain. Sci. Bull., 60 (2015), 86–95.

8. Xing XX, Zuo XN. The anatomy of reliability: a must read for future human brain mapping. Sci. Bull., 63 (2018), 1606-1607.

9. Xing XX,Zuo XN. To do a valid job, must make tools reliable first - A decent science of individual differences? Chinese Science Bulletin, 64 (2019), 2465-2467.

Personal statement

Xing Xiuxia is Associate Professor of Applied Mathematics and a Master Student Supervisor. As a principal investigator, she has completed a project supported by the grant from National Natural Science Foundation of China (NSFC). She also joined in several projects funded by NSFC general programs. She already published nine papers in Journal of Mathematical Analysis and Applications,Discrete and Continuous Dynamical Systems, Science Bulletin, and Neuroscience & Biobehavioral Reviews, etc.