623:
935:(5), 621–641. The authors comment directly on Wendl's solution appearing so long after the classical problem discussed by Stokes in 1845: "It is also a bit astonishing that the exact analytical solution for the azimuthal component of the Taylor–Couette flow profile with boundary conditions on cylinder caps was obtained just recently in the work of Wendl (1999). His results expose the strong influence of caps on flow profiles."
28:
230:
618:{\displaystyle u(r,z,t)=\Re \left(e^{i\sigma t}\left+{\frac {2}{\phi }}\sum _{j=1}^{\infty }{\frac {(-1)^{j}\cdot \alpha _{j}^{2}\cdot \sin(\alpha _{j}z)\cdot I_{1}\left({\sqrt {iR\sigma +\alpha _{j}^{2}}}r\right)}{(iR\sigma +\alpha _{j}^{2})\cdot I_{1}\left({\sqrt {iR\sigma +\alpha _{j}^{2}}}\right)}}\right)}
829:, a widely used DNA trace analyzer that converted raw output stream of early DNA sequence machines to sequence strings. He has contributed extensively to biostatistical analysis of cancer studies and to the bioinformatics toolbase, collaborating frequently with
780:
Wendl examined a number of matching and covering problems in combinatorial probability, especially as these problems apply to molecular biology. He determined the distribution of match counts of pairs of integer
225:. He also examined a variety of other low Reynolds number rotational devices and shear-driven devices, including a general form of the unsteady disk flow problem, for which the velocity profile is:
1126:
Wendl MC, Kota K, Weinstock GM, and
Mitreva M (2013) Coverage theories for metagenomic DNA sequencing based on a generalization of Stevens' theorem, J. Math. Biol. 67(5), 1141-1161.
1255:
1250:
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Chen, F, Wendl MC, Wyczalkowski MA, Bailey MH, Li Y, and Ding, L (2015) Moving pan-cancer studies from basic research toward the clinic, Nature Cancer 2(9), 879-890.
685:
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168:. Wendl reported the generalization of this solution for finite-length cylinders, which can actually be built for experimental work, in 1999, as a series of
1179:
Lu C, Xie M, Wendl MC et al. (2015) Patterns and functional implications of rare germline variants across 12 cancer types, Nature Comm. 6 art. 10086.
1117:
Wendl MC (2008) Random covering of multiple one-dimensional finite domains with an application to DNA sequencing, SIAM J. Appl. Math. 68(3), 890-905.
1230:
1197:
Wendl MC et al. (2011) PathScan: A tool for discerning mutational significance in groups of putative cancer genes, Bioinformatics 27(12), 1595-1602.
1001:
P Hummel and N Fuhry: "Sackelhausen im Banat" Volume 3, published by
Heimatsortsgemeinschaft Sackelhausen, Reutlingen FRG, 2007, pages 2236-2237.
143:
and has done bioinformatics and biostatistics work in cancer. Wendl is of ethnic German heritage and is the son of the aerospace engineer
1062:
Wendl MC (2005) Probabilistic assessment of clone overlaps in DNA fingerprint mapping via a priori models, J. Comp. Biol. 12(3), 283-297.
1053:
Wendl MC (2001) Mathematical analysis of coaxial disk cellular shear loading devices, Review of
Scientific Instruments 72(11), 4212-4217.
1225:
1207:
809:), generalizing the basic configuration to forms relevant to molecular biology. His covering investigation of rare DNA variants with
877:
1144:
Altshuler DM et al. (2010) A map of human genome variation from population-scale sequencing, Nature 467(7319), 1061-1073.
1135:
Wendl MC and Wilson RK (2009) The theory of discovering rare variants via DNA sequencing, BMC Genomics 10 art. 485.
1015:``On the theories of the internal friction of fluids in motion and of the equilibrium and motion of elastic solids,
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are coordinates. This result united prior-published special cases for steady flow, infinite disks, etc.
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Interaction of a rotational motion and an axial flow in small geometries for a Taylor–Couette problem
814:
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in
Mathematical and Physical Papers, pp. 102-104, Cambridge, UK: Cambridge University Press, 1880.
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The problem of low
Reynolds number flow in the gap between 2 infinite cylinders, so-called
135:, covering and matching problems in probability, theoretical fluid mechanics, and co-wrote
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972:(1998) Base-calling of automated sequencer traces using phred. I. Accuracy assessment.
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1170:, chapter 9 in "Molecular Diagnostics for the Clinical Laboratorian", Humana Press
793:. Prior to this, investigators had used a number of ad-hoc quantifiers, like the
77:
987:
1101:
1090:
A Feasibility Study of an
Arbitrary Search in Structured Peer-to-Peer Networks
806:
873:
1206:
Hochzeitsglocken lauteten fur Pamela Marie and
Michael Christopher Wendl,
984:
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797:, which idealized match trials as being independent. His result for the
862:
830:
1106:
Covering by random intervals and one-dimensional continuum percolation
1157:, chapter 2 in "Genomics: Essential Methods", John Wiley and Sons.
1168:
Electrophoretic
Methods for Mutation Detection and DNA Sequencing
1092:, IEEE Computer Communications and Networks, Proc ICCCN, pp 1–8.
801:
solves various related "collision problems", e.g. some types of
131:
is a mathematician and biomedical engineer who has worked on
115:
1155:
Identification of
Polymorphic Markers for Genetic Mapping
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Wendl's heritage is ethnic German, originating from the
1073:
Collision probability between sets of random variables
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912:"Michael Wendl - the Mathematics Genealogy Project"
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1031:General Solution for the Couette Flow Profile
776:Covering and Matching Problems in Probability
8:
857:and he is the son of the aerospace engineer
1256:Washington University in St. Louis faculty
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1251:Washington University in St. Louis alumni
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1246:21st-century American mathematicians
1241:20th-century American mathematicians
1088:Hautakorpi, J and Schultz, G (2010)
799:multiple-group birthday proposition
390:
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789:, a problem directly relevant to
821:Bioinformatics and Biostatistics
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1108:, J. Stat. Phys. 55, 441-460.
878:Mathematics Genealogy Project
894:at Engineering Tree database
139:. He was a scientist on the
96:Other academic advisors
931:, J. Fluids and Structures
727:{\displaystyle \alpha _{j}}
156:Theoretical Fluid Mechanics
1272:
1226:American bioinformaticians
883:Michael Christopher Wendl
874:Michael Christopher Wendl
707:are physical parameters,
170:modified Bessel functions
129:Michael Christopher Wendl
106:
62:
25:
1166:Highsmith, W. E. (2006)
946:The long and short of it
927:Bordag LA et al. (2005)
885:publications indexed by
164:, was solved in 1845 by
855:Austro-Hungarian Empire
791:physical mapping of DNA
765:{\displaystyle (r,z,t)}
640:{\displaystyle \sigma }
766:
734:are eigen-values, and
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133:DNA sequencing theory
74:Computational biology
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1075:, Stat. Prob. Lett.
815:1000 Genomes Project
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839:Richard K. Wilson
811:Richard K. Wilson
660:{\displaystyle R}
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64:Scientific career
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53:Couette flow
1011:G.G. Stokes
966:Hillier, L.
964:Ewing, B.,
853:of the old
78:Probability
35:Nationality
1220:Categories
1102:Cyril Domb
899:References
807:Cyril Domb
1208:Eintracht
970:Green, P.
783:multisets
716:α
695:ϕ
675:β
635:σ
588:α
581:σ
556:⋅
539:α
532:σ
497:α
490:σ
464:⋅
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418:⋅
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391:∞
376:∑
370:ϕ
352:ϕ
349:β
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320:β
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296:⋅
278:σ
262:ℜ
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1104:(1989)
1013:(1845)
985:9521921
876:at the
863:Chicago
831:Li Ding
118:.weebly
111:Website
983:
837:, and
687:, and
627:where
166:Stokes
70:Fields
827:Phred
137:Phred
116:wendl
981:PMID
328:sinh
299:sinh
198:and
120:.com
439:sin
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