KEN LANGE

Professor Biomathematics and Human Genetics, Department of Biomathematics

Research Interests:

My research interests include human genetics, population biology, biomedical imaging, computational statistics, and applied stochastic processes. In human genetics I have worked on problems of linkage mapping, risk prediction in genetic counseling, genetic epidemiology, and forensic uses of DNA fingerprinting. These areas tie in well with my interests in computational statistics since many of my contributions revolve around computation of complex probabilities on human pedigrees. In the past few years, some of the quantitative issues surrounding gene mapping strategies such as radiation hybrids, sperm typing, and haplotype mapping have also attracted my attention. In population biology I have investigated models in population genetics, methods for reconstructing evolutionary trees, stochastic versions of stable demographic theory, models for the dispersal of insect species, and models for the growth of microorganims in chemostats. My interests in biomedical imaging involve statistically based reconstruction techniques for emission and transmission tomography. As a teacher, I have offered courses on stochastic models in biology, applications of Fourier analysis, and theoretical genetic modeling, all of which are relevant to students in computational biology and bioinformatics.

Current Projects:

• NIH/NIGMS Statistical Methods for Gene Mapping
• NIH/NIGMS Quantitative Trait Locus Mapping in Human Pedigrees

Publications

Lange K, Westlake J, Spence
MA (1976) Extensions to pedigree analysis. III. Variance components
by the scoring method. Ann Hum Genet 39:485-491

Horn R, Lange K (1983) Estimating kinetic constants from single
channel data. Biophys j 43:207-223

Lange K, Carson R (1984) EM reconstruction algorithms for
emission and transmission tomography. J Computer Assisted Tomography
8:306-316

Lange K (1995) A gradient algorithm locally equivalent to the EM
algorithm. J Roy Stat Soc B 57:425-437

Lange K, Boehnke M, Cox DR, Lunetta KL (1995) Statistical
methods for polyploid radiation hybrid mapping. Genome Res 5:136-150

Sobel E, Lange K (1996) Descent graphs in pedigree analysis:
applications to haplotyping, location scores and marker sharing
statistics. Amer J Hum Genet 58:1323-1337

Schadt E, Sinsheimer JS, Lange K (1996) Computational advances
in maximum likelihood methods for molecular phylogeny. Genome Res
8:222-233

Fan R, Lange K (1998) Models for haplotype evolution in a
nonstationary population. Theor Pop Bio 53:184-198

Books:

Lange K (1997) Mathematical and Statistical Methods for Genetic
Analysis. Springer-Verlag, New York

Lange K (1999) Numerical Analysis for Statisticians.
Springer-Verlag, New York

Software:

• Fisher
• Mendel
• Search

Group Affiliations:

• Editorial Board of Statistical Methods in Medical Research
• Editorial Board of The Journal of Computational Biology
• Editorial Board of Human Heredity
• Associate Editor of Theoretical Population Biology

Students Being Supervised:

• Benjamin Redelings (bredelin@ucla.edu): Biomathematics

• UCLA Bioinformatics Program
  

Contact information:

Kenneth Lange
10833 Le Conte Ave
AV-515 CHS
Los Angeles, CA 90095-1766
Telephone: (310) 206-8076
Email: klange@ucla.edu

Office: CHS RM:AV-515
Gonda Bldg. 5-357A

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