PMID- 20600139
OWN - NLM
STAT- MEDLINE
DCOM- 20101130
LR  - 20100813
IS  - 1095-8541 (Electronic)
IS  - 0022-5193 (Linking)
VI  - 266
IP  - 2
DP  - 2010 Sep 21
TI  - A Markov chain description of the stepwise mutation model: local and global 
      behaviour of the allele process.
PG  - 336-42
LID - 10.1016/j.jtbi.2010.06.033 [doi]
AB  - The stepwise mutation model (SMM) is a simple, widely used model to describe the 
      evolutionary behaviour of microsatellites. We apply a Markov chain description of 
      the SMM and derive the marginal and joint properties of this process. In addition 
      to the standard SMM, we also consider the normalised allele process. In contrast 
      to the standard process, the normalised process converges to a stationary 
      distribution. We show that the marginal stationary distribution is unimodal. The 
      standard and normalised processes capture the global and the local behaviour of 
      the SMM, respectively.
CI  - Copyright (c) 2010 Elsevier Ltd. All rights reserved.
FAU - Caliebe, Amke
AU  - Caliebe A
AD  - Institut fur Medizinische Informatik und Statistik, Haus 31, 
      Christian-Albrechts-Universitat Kiel, Arnold-Heller-Str 3, 24105 Kiel, Germany. 
      caliebe@medinfo.uni-kiel.de
FAU - Jochens, Arne
AU  - Jochens A
FAU - Krawczak, Michael
AU  - Krawczak M
FAU - Rosler, Uwe
AU  - Rosler U
LA  - eng
PT  - Journal Article
PT  - Research Support, Non-U.S. Gov't
DEP - 20100630
PL  - England
TA  - J Theor Biol
JT  - Journal of theoretical biology
JID - 0376342
SB  - IM
MH  - *Alleles
MH  - Computer Simulation
MH  - *Evolution, Molecular
MH  - *Genetics, Population
MH  - *Markov Chains
MH  - Microsatellite Repeats/*genetics
MH  - *Models, Genetic
MH  - Mutation/*genetics
EDAT- 2010/07/06 06:00
MHDA- 2010/12/14 06:00
CRDT- 2010/07/06 06:00
PHST- 2010/02/02 00:00 [received]
PHST- 2010/06/24 00:00 [revised]
PHST- 2010/06/24 00:00 [accepted]
PHST- 2010/07/06 06:00 [entrez]
PHST- 2010/07/06 06:00 [pubmed]
PHST- 2010/12/14 06:00 [medline]
AID - S0022-5193(10)00324-3 [pii]
AID - 10.1016/j.jtbi.2010.06.033 [doi]
PST - ppublish
SO  - J Theor Biol. 2010 Sep 21;266(2):336-42. doi: 10.1016/j.jtbi.2010.06.033. Epub 
      2010 Jun 30.