UTILIZING DISCRETE HIDDEN MARKOV MODELS TO ANALYZE TETRAPLOID PLANT BREEDING
In plant heredity, the phenotype is the result of observation that can be directly observed, while the genotype is the underlying hidden factor that underlies the expression of the phenotype. The genotype is an important aspect that needs to be understood to explain the pattern of trait inheritance...
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Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Andalas
2024-10-01
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| Series: | Jurnal Matematika UNAND |
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| Online Access: | https://jmua.fmipa.unand.ac.id/index.php/jmua/article/view/1235 |
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| author | Nahrul Hayati Eko Sulistyono Vitri Aprilla Handayani |
| author_facet | Nahrul Hayati Eko Sulistyono Vitri Aprilla Handayani |
| author_sort | Nahrul Hayati |
| collection | DOAJ |
| description | In plant heredity, the phenotype is the result of observation that can be directly observed, while the genotype is the underlying hidden factor that underlies the expression of the phenotype. The genotype is an important aspect that needs to be understood to explain the pattern of trait inheritance and predict trait inheritance in subsequent generations. The discrete hidden Markov model is a model generated by pair of an unobserved Markov chain and an observation process. This model can be applied to tetraploid plant crosses by modeling genotypes as hidden state and phenotypes as the obeservation process. The probability of dominant phenotype in monohybrid, dihybrid and trihybrid crosses occurring over ten generations during that period is as follows 61,305%, 37,583%, and 23,041%. Furthermore, as more traits are crossed, the probability of dominant phenotype appearing within ten generations decreases. When the dominant phenotype occurs over ten generations, the same genotype can be obtained in monohybrid, dihybrid, and trihybrid crosses, which is heterozygous in the first and second generations, while from the third to the tenth generation it is homozygous dominant. |
| format | Article |
| id | doaj-art-387bdb2029844bce9a3ff15ea075d112 |
| institution | DOAJ |
| issn | 2303-291X 2721-9410 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Andalas |
| record_format | Article |
| series | Jurnal Matematika UNAND |
| spelling | doaj-art-387bdb2029844bce9a3ff15ea075d1122025-08-20T02:49:47ZengDepartment of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas AndalasJurnal Matematika UNAND2303-291X2721-94102024-10-0113424425610.25077/jmua.13.4.244-256.2024753UTILIZING DISCRETE HIDDEN MARKOV MODELS TO ANALYZE TETRAPLOID PLANT BREEDINGNahrul Hayati0Eko Sulistyono1Vitri Aprilla Handayani2Batam Institute of TechnologyBatam Institute of TechnologyBatam Institute of TechnologyIn plant heredity, the phenotype is the result of observation that can be directly observed, while the genotype is the underlying hidden factor that underlies the expression of the phenotype. The genotype is an important aspect that needs to be understood to explain the pattern of trait inheritance and predict trait inheritance in subsequent generations. The discrete hidden Markov model is a model generated by pair of an unobserved Markov chain and an observation process. This model can be applied to tetraploid plant crosses by modeling genotypes as hidden state and phenotypes as the obeservation process. The probability of dominant phenotype in monohybrid, dihybrid and trihybrid crosses occurring over ten generations during that period is as follows 61,305%, 37,583%, and 23,041%. Furthermore, as more traits are crossed, the probability of dominant phenotype appearing within ten generations decreases. When the dominant phenotype occurs over ten generations, the same genotype can be obtained in monohybrid, dihybrid, and trihybrid crosses, which is heterozygous in the first and second generations, while from the third to the tenth generation it is homozygous dominant.https://jmua.fmipa.unand.ac.id/index.php/jmua/article/view/1235hidden markov modeltetraploid |
| spellingShingle | Nahrul Hayati Eko Sulistyono Vitri Aprilla Handayani UTILIZING DISCRETE HIDDEN MARKOV MODELS TO ANALYZE TETRAPLOID PLANT BREEDING Jurnal Matematika UNAND hidden markov model tetraploid |
| title | UTILIZING DISCRETE HIDDEN MARKOV MODELS TO ANALYZE TETRAPLOID PLANT BREEDING |
| title_full | UTILIZING DISCRETE HIDDEN MARKOV MODELS TO ANALYZE TETRAPLOID PLANT BREEDING |
| title_fullStr | UTILIZING DISCRETE HIDDEN MARKOV MODELS TO ANALYZE TETRAPLOID PLANT BREEDING |
| title_full_unstemmed | UTILIZING DISCRETE HIDDEN MARKOV MODELS TO ANALYZE TETRAPLOID PLANT BREEDING |
| title_short | UTILIZING DISCRETE HIDDEN MARKOV MODELS TO ANALYZE TETRAPLOID PLANT BREEDING |
| title_sort | utilizing discrete hidden markov models to analyze tetraploid plant breeding |
| topic | hidden markov model tetraploid |
| url | https://jmua.fmipa.unand.ac.id/index.php/jmua/article/view/1235 |
| work_keys_str_mv | AT nahrulhayati utilizingdiscretehiddenmarkovmodelstoanalyzetetraploidplantbreeding AT ekosulistyono utilizingdiscretehiddenmarkovmodelstoanalyzetetraploidplantbreeding AT vitriaprillahandayani utilizingdiscretehiddenmarkovmodelstoanalyzetetraploidplantbreeding |