Welcome to Kelin Xia's Home Page

HOMEPAGE RESEARCH TEACHING ACTIVITIES
Current Position
Assistant Professor, School of Physical and Mathematical Sciences, School of Biological Science, Nanyang Technological University
Contact Information
SPMS-MAS-05-18, 21 Nanyang Link, Singapore 637371
Phone:  +65 6513-7464
Email: xiakelin@ntu.edu.sg
Educational and Professional Qualifications (CV)
B.S.,   Sep. 2002-Jun. 2006, Wuhan University of Technology, China
Ph.D., Sep. 2007-Jan. 2013, Graduate University of Chinese Academy of Sciences, China

 (Advisor: Meng Zhan and Guo-Wei Wei)
Visiting Scholar, Dec. 2009-Jan. 2013, Michigan State University
Visiting Assistant Professor, Jan. 2013-May 2016, Michigan State Univesity
Assistant Professor,  Jun. 2016- present, Nanyang Technological University
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 Looking for students and Postdocs who are interested in mathematical biology, big data, scientific computing and system biology!!!
  RESEARCH INTERESTS  (Google Scholar Profile, Reseacher ID)
Topological Modeling of Big Data in Biomolecules:Persistent homology analysis of big data in biomolecules(Video)
Mathematical Modeling of Biomolecular Systems: Geometric modeling of biomolecules;
       
Flexible-Rigidity Index(FRI); Variational multiscale models; MAPK cascade; Calcium signaling
Scientific Computing: Matched interface and boundary (MIB) method for multidomain interface problem;
       Adaptive mesh based MIB method; MIB Galerkin method

GRANTS AND AWARDS
 PI, MOE AcRF Tier 1,"A unified framework for multiscale geometric modeling of biomolecular complex",2017-2019
 PI, NTU-SUG, "Geometric and topological modeling of biomolecular structure, dynamics and function", 2016-2021
 Co-PI (PI: Guo-Wei Wei), National Science Foundation, DMS-1160352, $319,477, “FRG: Collaborative research: Variational multiscale approaches to biomolecular structure, dynamics and transport" 09/15/2012-08/31/2015.
Co-PI (PI: Guo-Wei Wei), NIH/NIGMS, 3R01GM090208-04S1, $103,339, “Geometric flow approach to implicit solvation modeling" 07/29/2014-06/30/2015
Investigator (PI: Guo-Wei Wei), NIH/NIGMS, R01GM090208, $1,239,500, “Geometric flow approach to implicit solvation modeling" 07/29/2009-07/28/2014. 
STUDENTS AND POST-DOCS
      Robyn Reid: 2017 (B.S., Portland State University)
     Huanzhi Liu: 2017 (B.S., Nanyang Technological University)      
  TEACHING
Instructor:
2017:MH4600 "Algebraic Topology" (Syllabus)
2016:MH9200 "Advance investigation of linear algebra" (Syllabus; NTU learn)
2015:Math 132  (Section 016 and Section 020) (
Syllabus;Schedule; Classpage) Office Hour: Friday 14:00-17:00
2014:Math 132  (Section 014 and Section 033) (Syllabus;Schedule; Attendance) Office Hour: Friday 13:30-14:30,16:00-17:00
2013:Math 132  (Section 016 and Section 024) (Syllabus; Schedule; WeBWork) Office Hour: Friday 14:00-17:00
Series of Presentations:
MTH995 (Modeling and Computation of human sensory systems), 2013
Mentor:
(With Prof.GuoWei Wei) Archie Brown III, Summer Research Opportunities Program at MSU, 2012
(With Prof.GuoWei Wei) Rinaldi Romulus, Summer Research Opportunities Program at MSU, 2013
(With Prof.GuoWei Wei) Zhuozhuo Tu, International Exchange Program at Department of Mathematics in MSU, 2013
(With Prof.GuoWei Wei) Fengze Cao, International Exchange Program at Department of Mathematics in MSU, 2014
(NTU FYP) Chu Wee Khong: 2016-2017
(NTU FYP) Lim Wen Sheng: 2017-2018 
(NTU FYP) Lee Si Xian: 2017-2018 
  PUBLICATIONS
Under Review
32.

Kelin Xia, Guowei Wei, "A review of geometric, topological and graph theory apparatuses for the modeling and analysis of biomolecular data", arXiv, (2017)
31.
   
Kelin Xia, Zhiming Li, Lin Mu, "Multiscale persistent functions for biomolecular structure characterization", Bulletin of Mathematical Biology, revised, (2017)
Published/Accepted
30.

Yin Cao, Bao Wang, Kelin Xia and Guo-Wei Wei, "Finite volume formulation of the MIB method for elliptic interface problems", Journal of Computational and  Applied Mathematics, accepted, (2017) arXiv
29.

Lin Mu,Kelin Xia, Guowei Wei, "Geometric and electrostatic modeling using molecular rigidity functions", Journal of Computational and  Applied Mathematics, 313, 18-37, (2017)
28.

Duc D Nguyen, Kelin Xia and Guo-Wei Wei, "Generalized flexibility-rigidity index", Journal of Chemical Physics, 144, 234106 (2016). PDF
27.

Kristopher Opron, Kelin Xia, Zachary F. Burton and Guo-Wei Wei, "Flexibility-rigidity index for protein-nucleic acid flexibility and fluctuation analysis", Journal of Computational Chemistry, 37, 1283-1295,  (2016) . PDF
26.

Zixuan Cang, Lin Mu, Kedi Wu, Kristopher Opron, Kelin Xia and Guo-Wei Wei, "A topological approach to protein classification", Molecular Based Mathematical Biology, 3, 140-162 (2015). PDF
25.
    
Kelin Xia, Kristopher Opron and Guo-Wei Wei, "Multiscale Gaussian network model (mGNM) and multiscale anisotropic network  model (mANM)", Journal of Chemical Physics, 143, 204106(2015). PDF
24.

Kelin Xia, Zhixiong Zhao and Guo-Wei Wei, "Multiresolution persistent homology for excessively large biomolecular datasets", Journal of Chemical Physics, 143, 134103(2015).PDF
23.

Kelin Xia and Guo-Wei Wei, "Multiresolution topological simplification", Journal of Computational Biology, 22(9), 1-5 (2015).PDF
22.

Kelin Xia and Guo-Wei Wei, "Multidimensional persistence in biomolecular data", Journal of Computational Chemistry, 36, 1502-1520(2015).PDF
21.

Kelin Xia and Guo-Wei Wei, "Persistent homology for cryo-EM data analysis", International Journal for Numerical Methods in Biomedical Engineering, 31(8), e02719(2015).PDF
20.

Jinkyoung Park, Kelin Xia and Guo-Wei Wei, "Atomic scale design and three-dimensional simulations of nanofluidic  systems", Microfluidics and Nanofluidics, 19(3), 665-692(2015).PDF
19.

Kristopher Opron, Kelin Xia and Guo-Wei Wei, "Communication: Capturing protein multiscale thermal fluctuations", Journal of Chemical Physics, 142, 211101(2015).PDF
18.

Bao Wang, Kelin Xia and Guo-Wei Wei, "Second order method for solving 3D elasticity equations with complex interfaces", J. Comput. Phys., 294, 405-438(2015).PDF
17.

Kelin Xia, Xin Feng, Yiying Tong and Guo-Wei Wei, "Persistent homology for the quantitative prediction of fullerene stability", Journal of Computational Chemistry, 36, 408-422(2015).PDF
16.

Bao Wang, Kelin Xia and Guo-Wei Wei, "Matched interface and boundary method for elasticity interface problems", Journal of Computational and Applied Mathematics, 285, 203-225(2015).PDF
15.

Kelin Xia and Guo-Wei Wei, "A Galerkin formulation of the MIB method for three dimensional elliptic interface problems", Computers and Mathematics with Applications, 68, 719-745(2014).PDF
14.

Kelin Xia and Guo-Wei Wei, "Persistent homology analysis of protein structure, flexibility and folding", International Journal for Numerical Methods in Biomedical Engineering, 30(8):814-844(2014).PDF
13.

Kristopher Opron, Kelin Xia and Guo-Wei Wei, "Fast and anisotropic flexibility-rigidity index for protein flexibility and fluctuation analysis", J. Chem. Phys., 140, 234105(2014) .PDF
12.

Kelin Xia, Meng Zhan and Guo-Wei Wei, "MIB Galerkin method for elliptic interface problem", Journal of Computational and Applied Mathematics, 272, 195-220(2014).PDF
11.

Kelin Xia and Guo-Wei Wei, "Molecular nonlinear dynamics and protein thermal uncertainty quantification", Chaos: 24, 013103(2014).PDF
10.

Kelin Xia and Guo-Wei Wei, "Stochastic model for protein flexibility analysis", Physical Review E, 88, 062709(2013).PDF
9.

Kelin Xia, Kristopher Opron and Guo-Wei Wei, "Multiscale multiphysics and multidomain models-Flexibility and rigidity", Journal of Chemical Physics, 139, 194109(2013).PDF
8.

Kelin Xia, Xin Feng, Zhan Chen, Yiying Tong and Guo-Wei Wei, "Multiscale geometric modeling of macromolecules I: Cartesian representation", J. Comput. Phys., 257, 912-936(2014).PDF
7.

Xin Feng, Kelin Xia, Zhan Chen, Yiying Tong and Guo-Wei Wei, "Multiscale geometric modeling of macromolecules II: Lagrangian representation", Journal of Computational Chemistry, 34, 2100-2120(2013).PDF
6.


Xin Feng, Kelin Xia, Yiying Tong and Guo-Wei Wei, "Geometric modeling of organelles, subcellular structures and multiprotein complexes", International Journal for Numerical Methods in Biomedical Engineering, 28(12), 1198-1223(2012). PDF
5.

Guo-Wei Wei, Qiong Zheng, Zhan Chen and Kelin Xia, "Variational multiscale models for charge transport", SIAM Review, 54(4), 699-754(2012).PDF
4.

Kelin Xia, Meng Zhan, Decheng Wan and Guo-Wei Wei, "Adaptively deformed mesh based matched interface and boundary (MIB) method for elliptic interface problems", J. Comput. Phys., 231(4), 1440-1461(2012).PDF
3.

Kelin Xia, Meng Zhan and Guo-Wei Wei, "MIB method for elliptic equations with multimaterial interfaces", J. Comput. Phys., 230(12), 4588-4615(2011).PDF
2.

Ming Yi, Kelin Xia and Meng Zhan, "Theoretical study for regulatory property of scaffold protein on MAPK cascade: a qualitative modeling", Biophysical Chemistry, 147(3), 130-139(2010).PDF
1.

Qi Zhao, Ming Yi, Kelin Xia and Meng Zhan, "Information propagation from IP3 to target protein: A combined model  for encoding and decoding of Ca2+ signal", Physica A, 388, 4105-4114(2009).PDF
  CONFERENCES AND PRESENTATIONS
(Invited speaker) Mathematics Biophysics and Molecular Biosciences Workshop at TSIMF, Sanya, China, Dec 19-23, 2016
(Poster) Topological, Geometric, and Statistical Techniques in Biological Data Analysis, Mathematical Biosciences Institute, September 12-September 16, 2016
(Invited speaker) Department of Mathematics, National University of Singapore, Singapore, August 31, 2016 
(
Invited speaker)
 Bioinformatics Institute, A*STAR, Singapore, August 23, 2016
(Invited speaker) School of Biological Science, Nanyang Technological University, Singapore, August 15, 2016
(
Organizer) Mini-symposium "Molecular Biosciences and Biophysics: Topological and Geometic methods" at SIAM Conference on Life Sciences, Boston, Masschusetts, July 13, 2016 (
Co-organizer: Prof. Natasha Jonoska)
(Invited speaker) Department of Mathematics and Statistics, University of North Carolina Charlotte, April 25, 2016
(Invited speaker) School of Mathematical Science, Monash University, April 21, 2016
(Invited speaker) School of Physical and Mathematical Science, Nanyang Technological University, March 8, 2016
(Invited speaker) Department of Mathematics, The university of Tennessee at Chattanooga, February 30, 2016
(Invited speaker) Department of Mathematical Science, Georgia Sourthern University, February 22, 2006
(Invited speaker) Department of Mathematics, North Carolina State University, January 21, 2016
(Invited speaker) Geometric and Topological Modeling of Biomolecules, Mathematical Biosciences Institute, September 28-October 2, 2015 (Video)
(Invited speaker)   IMA hot topic workshop on "Mathematics of Biological Charge Transport: Molecular and Beyond", IMA, Twin Cities, July 20-24, 2015
(PosterAdvanced Numerical Methods in the Mathematical Sciences, Texas A&M, College Station, TX, May 4-7, 2015
(Invited speaker) "Modeling, Numerics and Analysis of Electrodiffusion Phenomena" at AMS Central Spring Sectional Meeting, Michigan State University, East Lansing, Michigan, March 14-15, 2015
(Organizer) Workshop on persistent homology for biosciences, East Lansing, October 18, 2014 (With Prof.Guowei Wei and Prof. Yiying Tong)
(Organizer) Mini-symposium "Molecular Biosciences: Topological modeling of biomolecules" at SIAM Conference on Life Sciences, Charlotte, North Carolina, August 4-7, 2014(Co-organizer: Prof.Yuanan Diao)
(
Invited speaker) Mini-symposium "Modeling and computation of problems in mathematical biology" at the 38th annual meeting of the SIAM Southeastern Atlantic Section, Florida Institute of Technology in Melbourne, Florida, March 28-30, 2014
(
Poster) IMA Annual Program Year Workshop Topological Structures in Computational Biology, December 9-13, 2013 
(
Poster) 2013 Great Lakes SIAM Conference on "Computational Mathematics: Modeling, Algorithms and Applications", Central Michigan University, April 20, 2013
(
Invited speaker) Mathematical Challenges in Biomolecular/Biomedical Imaging and Visualization, Mathematical Biosciences Institute, February 18-22, 2013
(
Invited speaker) 12th International Symposium on Mathematical and Computational Biology, Tempe, Arizona, November 7-10, 2012
(
Speaker) SMB Annual Meeting and Conference, Knoxville, Tennessee, July 25-28, 2012
(
Participation) 2nd Midwest Conference on "Mathematical Methods for Images and Surfaces", East Lansing, August 27-28, 2011
(
Traveling award) Modeling and Computation of Biomolecular Structure and Dynamics, Mathematical Biosciences Institute, Ohio State University, April 25-29, 2011
(
Poster,traveling award) Fluid Motion Driven by Immersed Structures, University of Toronto, August 9-13, 2010
(
Participation) Workshop on Nano-Bio Mathematics and Mechanics, Michigan State U
niversity, August 5, 2010
(
Participation) Modeling and Numerical PDEs in Mathematical Biology and Applications, Oakland University, April 16, 2011
(
Participation) Frontiers in Mathematical Biology: NSF-NIH PIs Meeting 2010, University of Maryland, College Park, April 26-27, 2010
(
Participation) SIAM Great Lakes Conference: Modeling and numerical PDEs in Mathematical Biology, University of Michigan at Dearborn, April 17, 2010

  PROFESSIONAL SERVICES
Journal Reviewer:
Applied Mathematics and Computation
Chemical Physics Letters

Computer Methods in Applied Mechanics and Engineering
European Journal of Applied Mathematics

International Journal for Numerical Methods in Biomedical Engineering
International Journal of Biomathematics
Journal of Applied Mathematics
Journal of Chemical physics
Journal of Computational and Applied Mathematics
Journal of Theoretical and Computational Chemistry
Nonlinearity
Mathematics of Computation
Molecular Based Mathematical Biology
Statistical Applications in Genetics and Molecular Biology
Symmetry