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All Journal JMPM (Jurnal Material dan Proses Manufaktur) Desimal: Jurnal Matematika Jurnal SOLMA JURTEKSI Jurdimas (Jurnal Pengabdian Kepada Masyarakat) Royal JIKA: Jurnal Ilmu Keuangan dan Perbankan Jurnal Matematika UNAND SIGMA TEKNIKA Jurnal Siteba Jurnal Sintak STATISTIKA Journal of Mathematics, Computation and Statistics (JMATHCOS) Indonesian Journal of Jamu Integra: Journal of Integrated Mathematics and Computer Science Analit: Analytical And Environmental Chemistry
Handayani, Vitri Aprilla
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Agriculture, Biological Sciences & Forestry Automotive Engineering Biochemistry, Genetics & Molecular Biology Chemistry Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Environmental Science Health Professions Industrial & Manufacturing Engineering Mathematics Mechanical Engineering Medicine & Pharmacology Social Sciences Other

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Journal : Jurnal Matematika UNAND

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UTILIZING DISCRETE HIDDEN MARKOV MODELS TO ANALYZE TETRAPLOID PLANT BREEDING Hayati, Nahrul; Sulistyono, Eko; Handayani, Vitri Aprilla
Jurnal Matematika UNAND Vol 13, No 4 (2024)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.13.4.244-256.2024

Abstract

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.
UTILIZING DISCRETE HIDDEN MARKOV MODELS TO ANALYZE TETRAPLOID PLANT BREEDING Hayati, Nahrul; Sulistyono, Eko; Handayani, Vitri Aprilla
Jurnal Matematika UNAND Vol. 13 No. 4 (2024)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.13.4.244-256.2024

Abstract

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.
Co-Authors Alhamidi, Alhamidi Anggraeni, Andini Setyo Anjani, Syarli Dita Arafi, Adamsyam Arrafi, Adamsyam Auwalia, Farda Azhari, Fiqri Ardi Azzahra, Nabila Betricia , Jesicca candra, joni eka Devikaduri, Laras Eko Sulistyono Eko Sulistyono Sulistyono Farit Mochamad Afendi Harahap, Diana Sari Hazimah, Hazimah Hernando, Luki Irianto, Ardhiya Syifa Islamiati, Dian Jonathan, Steven Lestari, Windi Lilies Handayani Lunardi, Louis Majiid, Arsyil Mardiansyah, Yopy Muhammad Agus Muljanto Mulyono Mulyono Mustofa Usman Nahrul Hayati Nur Asikin Okti, Herpina Putri, Tia Aura Rahayu , Sri Rahmad Rahmad Rahmiati, Sari Sabarinsyah, Sabarinsyah Sabrina, Nadia Sadiq Ardo Wibowo, Sadiq Ardo Sari Rahmiati Sembiring, Rinawati Sihombing, Urianto Siti Laelatul Chasanah, Siti Laelatul Sunarsono, Hery Taufiq Rahman Tuto Bakang, Clarita Utama, Rifki Chandra Utami, Arli Magfirah Utami, Bernadhita Herindri Samodera Utami, Bulan Purnama Varischa, Bintang Wasiru, Moh. Arafat Widiarti Widya Reza Wisnu Ananta Kusuma Yoka, Ranara Athalla