THE APPLICATION OF DISCRETE HIDDEN MARKOV MODEL ON CROSSES OF DIPLOID PLANT
The hidden Markov model consists of a pair of an unobserved Markov chain {Xk} and an observation process {Yk}. In this research, the crosses of diploid plant apply the model. The Markov chain {Xk} represents genetic structure, which is genotype of the kth generation of an organism. The observation p...
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Universitas Pattimura
2023-09-01
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| Online Access: | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/8274 |
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| author | Nahrul Hayati Berlian Setiawaty I Gusti Putu Purnaba |
| author_facet | Nahrul Hayati Berlian Setiawaty I Gusti Putu Purnaba |
| author_sort | Nahrul Hayati |
| collection | DOAJ |
| description | The hidden Markov model consists of a pair of an unobserved Markov chain {Xk} and an observation process {Yk}. In this research, the crosses of diploid plant apply the model. The Markov chain {Xk} represents genetic structure, which is genotype of the kth generation of an organism. The observation process represents the appearance or the observed trait, which is the phenotype of the generation of an organism. Since it is unlikely to observe the genetic structure directly, the Hidden Markov model can be used to model pairs of events and unobservable their causes. Forming the model requires the use of the theory of heredity from Mendel. This model can be used to explain the characteristic of true breeding on crosses of diploid plants. The more traits crossed, the smaller probability of plants having a dominant phenotype in that period. Monohybrid, dihybrid, and trihybrid crosses have a dominant phenotype probability of 99% in the seventh, eighth, and ninth generations, with the condition of previous generations having a dominant phenotype. But in seventh generation, monohybrid crosses only have the probability of an optimal genotype of 50%, dihybrid crosses have a probability of an optimal genotype of 25% in the eighth generation, and trihybrid crosses have a probability of an optimal genotype of 12.5% in the ninth generation |
| format | Article |
| id | doaj-art-c6bb06b9b9fc41cba843ccc6bbea6315 |
| institution | DOAJ |
| issn | 1978-7227 2615-3017 |
| language | English |
| publishDate | 2023-09-01 |
| publisher | Universitas Pattimura |
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| series | Barekeng |
| spelling | doaj-art-c6bb06b9b9fc41cba843ccc6bbea63152025-08-20T03:02:45ZengUniversitas PattimuraBarekeng1978-72272615-30172023-09-011731449146210.30598/barekengvol17iss3pp1449-14628274THE APPLICATION OF DISCRETE HIDDEN MARKOV MODEL ON CROSSES OF DIPLOID PLANTNahrul Hayati0Berlian Setiawaty1I Gusti Putu Purnaba2Mathematics Department, IPB University, IndonesiaMathematics Department, IPB University, IndonesiaMathematics Department, IPB University, IndonesiaThe hidden Markov model consists of a pair of an unobserved Markov chain {Xk} and an observation process {Yk}. In this research, the crosses of diploid plant apply the model. The Markov chain {Xk} represents genetic structure, which is genotype of the kth generation of an organism. The observation process represents the appearance or the observed trait, which is the phenotype of the generation of an organism. Since it is unlikely to observe the genetic structure directly, the Hidden Markov model can be used to model pairs of events and unobservable their causes. Forming the model requires the use of the theory of heredity from Mendel. This model can be used to explain the characteristic of true breeding on crosses of diploid plants. The more traits crossed, the smaller probability of plants having a dominant phenotype in that period. Monohybrid, dihybrid, and trihybrid crosses have a dominant phenotype probability of 99% in the seventh, eighth, and ninth generations, with the condition of previous generations having a dominant phenotype. But in seventh generation, monohybrid crosses only have the probability of an optimal genotype of 50%, dihybrid crosses have a probability of an optimal genotype of 25% in the eighth generation, and trihybrid crosses have a probability of an optimal genotype of 12.5% in the ninth generationhttps://ojs3.unpatti.ac.id/index.php/barekeng/article/view/8274hidden markov modeldiploidmendel |
| spellingShingle | Nahrul Hayati Berlian Setiawaty I Gusti Putu Purnaba THE APPLICATION OF DISCRETE HIDDEN MARKOV MODEL ON CROSSES OF DIPLOID PLANT Barekeng hidden markov model diploid mendel |
| title | THE APPLICATION OF DISCRETE HIDDEN MARKOV MODEL ON CROSSES OF DIPLOID PLANT |
| title_full | THE APPLICATION OF DISCRETE HIDDEN MARKOV MODEL ON CROSSES OF DIPLOID PLANT |
| title_fullStr | THE APPLICATION OF DISCRETE HIDDEN MARKOV MODEL ON CROSSES OF DIPLOID PLANT |
| title_full_unstemmed | THE APPLICATION OF DISCRETE HIDDEN MARKOV MODEL ON CROSSES OF DIPLOID PLANT |
| title_short | THE APPLICATION OF DISCRETE HIDDEN MARKOV MODEL ON CROSSES OF DIPLOID PLANT |
| title_sort | application of discrete hidden markov model on crosses of diploid plant |
| topic | hidden markov model diploid mendel |
| url | https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/8274 |
| work_keys_str_mv | AT nahrulhayati theapplicationofdiscretehiddenmarkovmodeloncrossesofdiploidplant AT berliansetiawaty theapplicationofdiscretehiddenmarkovmodeloncrossesofdiploidplant AT igustiputupurnaba theapplicationofdiscretehiddenmarkovmodeloncrossesofdiploidplant AT nahrulhayati applicationofdiscretehiddenmarkovmodeloncrossesofdiploidplant AT berliansetiawaty applicationofdiscretehiddenmarkovmodeloncrossesofdiploidplant AT igustiputupurnaba applicationofdiscretehiddenmarkovmodeloncrossesofdiploidplant |