Long Xiang Dai's Curriculum Vitae

Curriculum Vitae

Long Xiang Dai
Mathematical Research Branch
BSA Building, Suite 350
9190 Wiscosine Ave.
Bethesda, MD 20814-3897
USA

Tel.: 301-984-5698 (office)

Fax: 301-402-0535 (office)

Home Page: http://mrb.niddk.nih.gov/dai/index.html

EDUCATION

Ph.D., Institute of Applied Mathemactics and Department of Mathematics, University of British Columbia, Vancouver, B.C., Canada. July 1997

M.Sc., Department of Mathematics, Beijing Normal University, Beijing, China, June 1989

B.Sc., Department of Mathematics, Hunan Normal University, Hunan, China, June 1983

RESEARCH INTERESTS

Applied analysis and numerical analysis, mathematical neurobiology, flow in porous media. More specifically, modeling and simulating the migrations of substances such as potassium within the brain by using lattice gas cellular automata method and lattice Boltzmann equations, and volume-averaging method.

Please go to CURRENT RESEARCH for more information about my research.

EXPERIENCE IN ACADIMA

Mathematical Research Branch/NIDDK, National Institute of Health, USA (Sept. 1997-present)
- Postdoc Fellow Modeling and simulating Calcium diffusion and transmitter release in brain byusing stochastical methods and analytical methods.
Institute of Applied Mathematics and Dept. of Mathematics, University of British Columbia, Canada (Sept. 1990-August 1997)
- Graduate Research Research on (1) harmonic analysis (2) modeling and simulating the migration of substance within brain by using lattice gas cellular automata method and lattice Boltzmann equations.
- Teaching Assistant Taught Calculus, Taught and designed tests for self-paced calculus. Tutored and graded homework for calculus, real analysis, complex analysis, ordinary differential equations, partial differential equation
Dept. of Mathematics, Hunan Normal University, China (1983-1986, 1989-1990)
- Researcher did research on harmonic analysis.
- Lecturer Taught calculus, real analysis, complex analysis, functional analysis.

PUBLICATIONS

Published and submitted
1. With Robert M. Miura. A lattice gas cellular automata model for diffusion in the brain-cell microenvironment and determination of tortuosity and volume fraction. Submitted.
2. With Robert M. Miura. A lattice Boltzmann equation model for potassium movement in brain and its application: Submitted
3. Weighted inequality for a class of singular integral operators (Chinese, English summary). Chinese Adv. in Math., 20(1991), 348-357.
4. An extrapolation theorem and its application (Chinese, Chinese summary). Chinese Ann. Math. Ser. A13(1992), 204-210. (English) Chinese Journal of Contemporary Math., 13 (1992), 173-180.
5. Weighted norm inequalities for some singular integral operators. Acta mathematica Sinica, 10 (1994), 42-48.
In preparation
1. With Robert M. Miura. A lattice Boltzmann equation model for potassium movement in brain and its application: II. In preparation

PRESENTATIONS AT CONFERENCES WORKSHOPS

Lattice Boltzmann equation model for potassium dynamics in brain. Fourth SIAM Conference on Applications of Dynamical Systems, Snowbird, Utah (May 18-22, 1997).

Using lattice Boltzmann equation to study potassium ion migration with current flow in the brain. Pacific Northwest Workshop on Mathematical Biology (PNWMB), WSU, Pullman, Washington (March 21-23, 1997).

Lattice Boltzmann models for ion movement within brain-cell microenvironment and their applications. The Society for Mathematical Biology Annual Meeting, UW, Seattle, Washington (Aug. 4-8, 1996)

Lattice gas cellular automata model for potassium movement within brain-cell microenvironment Pacific Northwest Workshop on Mathematical Biology, UBC, Vancouver, B.C. (May 5-7, 1995)

Lattice gas cellular automata model for ion diffusion and determination of tortuosity and volume fraction Pacific Northwest Workshop on Mathematical Biology, WSU, Pullman, Washington (Mar. 18-20, 1994)

COMPUTER SKILLS

Languages: C, C++, Java, Html, Working knowledge of FORTRAN, Oracle (SQL, SQLPLUS, PL/SQL).

Environments: DOS, WINDOW 3.1-95, UNIX, X Windows, UPX C/VP, SGI Graphic Library (GL).

Applications software: MAPLE, MATHEMATICA, MATLAB, LATEX, Developer 2000 (FORMS 4.5, REPORTS 2.5, GRAPHICS 2.5).

COMPUTER EXPERIENCE

C: Have been using C for programming since 1991. Used C and GL, animated ion movement within the brain, generated various artificial brains as porous media, and done assignments and various projects required for many computer science courses such as Computer Graphics, Software Engineering, Numerical Analysis for PDE and ODE.

C++: Used C++ having done a statistical project for importing and displaying tables and computing their mean, standard deviation, etc. Used C++ having done the project required for computer course: Data Abstractions and Structures.

Parallel computing: Experienced in parallel computing on VPX240 supercomputer by using C.

ADDITIONAL EDUCATION

1993 CRM-UBC Summer School on Mathematical Biology, UBC, Vancouver, B.C. (July 19 - Aug. 13, 1993)

Chinese Harmonic Analysis Year, Nankai University, Tianjin, China (March--June, 1988)

EDUCATIONAL AND PROFESSIONAL ASSOCIATIONS

Society for Mathematical Biology

Society for Industrial and Applied Mathematics

American Mathematical Society

FELLOWSHIPS AND AWARDS

University Graduate Fellowship, Dept. of Mathematics, UBC, Canada, Sept. 1990 - Aug. 1993

High Performance Computing Scholarship, HPC High Performance Computing Center, Calgary, Canada, Sept. 1995 - June. 1997

Best Thesis Award, Beijing Normal University, Beijing, China, June 1989

HOBBIES

Reading, Bridge, Basketball.

REFERENCES

Dr. Robert M. Miura, Professor of Mathematics, UBC (miura@neuron.math.ubc.ca)

Dr. Bernard Shizgal, Professor of Chemistry, UBC (shizgal@theory.chem.ubc.ca)

Dr. Michael Ward, Professor of Mathematics, UBC (ward@math.ubc.ca)

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