A Simple Markov Chain
In this paper, Markov chain is used to model the reproduction of the fixed finite population, and use binomial distribution to discuss the probability of gen inheritance between generations population genes and establish transfer matrix ,using conditional mathematics expect to obtain the probability...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2023-01-01
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| Series: | SHS Web of Conferences |
| Online Access: | https://www.shs-conferences.org/articles/shsconf/pdf/2023/23/shsconf_seaa2023_03001.pdf |
| _version_ | 1828716193729478656 |
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| author | Zhai Qian |
| author_facet | Zhai Qian |
| author_sort | Zhai Qian |
| collection | DOAJ |
| description | In this paper, Markov chain is used to model the reproduction of the fixed finite population, and use binomial distribution to discuss the probability of gen inheritance between generations population genes and establish transfer matrix ,using conditional mathematics expect to obtain the probability of absorption at 0 and at 2N only depends on the initial fraction of A gene, and this also must be a fixation probability of gene A , and this conclusion is the same as the results of MATLAB simulation. |
| first_indexed | 2024-03-12T14:08:53Z |
| format | Article |
| id | doaj.art-9b058c47cdf646e0aff5aeacc41644ec |
| institution | Directory Open Access Journal |
| issn | 2261-2424 |
| language | English |
| last_indexed | 2024-03-12T14:08:53Z |
| publishDate | 2023-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | SHS Web of Conferences |
| spelling | doaj.art-9b058c47cdf646e0aff5aeacc41644ec2023-08-21T09:05:40ZengEDP SciencesSHS Web of Conferences2261-24242023-01-011740300110.1051/shsconf/202317403001shsconf_seaa2023_03001A Simple Markov ChainZhai Qian0University of Illinois at Urbana-ChampaignIn this paper, Markov chain is used to model the reproduction of the fixed finite population, and use binomial distribution to discuss the probability of gen inheritance between generations population genes and establish transfer matrix ,using conditional mathematics expect to obtain the probability of absorption at 0 and at 2N only depends on the initial fraction of A gene, and this also must be a fixation probability of gene A , and this conclusion is the same as the results of MATLAB simulation.https://www.shs-conferences.org/articles/shsconf/pdf/2023/23/shsconf_seaa2023_03001.pdf |
| spellingShingle | Zhai Qian A Simple Markov Chain SHS Web of Conferences |
| title | A Simple Markov Chain |
| title_full | A Simple Markov Chain |
| title_fullStr | A Simple Markov Chain |
| title_full_unstemmed | A Simple Markov Chain |
| title_short | A Simple Markov Chain |
| title_sort | simple markov chain |
| url | https://www.shs-conferences.org/articles/shsconf/pdf/2023/23/shsconf_seaa2023_03001.pdf |
| work_keys_str_mv | AT zhaiqian asimplemarkovchain AT zhaiqian simplemarkovchain |