PMID- 17884123
OWN - NLM
STAT- MEDLINE
DCOM- 20080227
LR  - 20071029
IS  - 0040-5809 (Print)
IS  - 0040-5809 (Linking)
VI  - 72
IP  - 4
DP  - 2007 Dec
TI  - The SMM model as a boundary value problem using the discrete diffusion equation.
PG  - 539-46
AB  - A generalized single-step stepwise mutation model (SMM) is developed that takes 
      into account an arbitrary initial state to a certain partial difference equation. 
      This is solved in both the approximate continuum limit and the more exact 
      discrete form. A time evolution model is developed for Y DNA or mtDNA that takes 
      into account the reflective boundary modeling minimum microsatellite length and 
      the original difference equation. A comparison is made between the more widely 
      known continuum Gaussian model and a discrete model, which is based on modified 
      Bessel functions of the first kind. A correction is made to the SMM model for the 
      probability that two individuals are related that takes into account a reflecting 
      boundary modeling minimum microsatellite length. This method is generalized to 
      take into account the general n-step model and exact solutions are found. A new 
      model is proposed for the step distribution.
FAU - Campbell, Joel
AU  - Campbell J
AD  - NASA Langley Research Center, MS 488, Hampton, VA 23681, USA. 
      joel.f.campbell@nasa.gov
LA  - eng
PT  - Journal Article
DEP - 20070819
PL  - United States
TA  - Theor Popul Biol
JT  - Theoretical population biology
JID - 0256422
SB  - IM
MH  - *Algorithms
MH  - Genetic Drift
MH  - Humans
MH  - Microsatellite Repeats/genetics
MH  - *Models, Genetic
MH  - *Mutation
MH  - Normal Distribution
EDAT- 2007/09/22 09:00
MHDA- 2008/02/28 09:00
CRDT- 2007/09/22 09:00
PHST- 2007/03/28 00:00 [received]
PHST- 2007/06/10 00:00 [revised]
PHST- 2007/08/03 00:00 [accepted]
PHST- 2007/09/22 09:00 [pubmed]
PHST- 2008/02/28 09:00 [medline]
PHST- 2007/09/22 09:00 [entrez]
AID - S0040-5809(07)00086-X [pii]
AID - 10.1016/j.tpb.2007.08.001 [doi]
PST - ppublish
SO  - Theor Popul Biol. 2007 Dec;72(4):539-46. doi: 10.1016/j.tpb.2007.08.001. Epub 
      2007 Aug 19.