{"title":"THERMODYNAMICS OF DNA-RNA RENATURATION FOR THE ISING MODEL WITH AN EXTERNAL FIELD","authors":"N. Khatamov","doi":"10.32523/2306-6172-2023-11-2-57-66","DOIUrl":null,"url":null,"abstract":"The Ising model is considered on a set of DNA together with RNA. DNA belongs to a mammal or bird, while RNA belongs to a virus. Here we use the methods of Gibbs measure theory to study the thermodynamic properties of this model, and these measures describe the phases (states) of the DNA-RNA system. Using a Markov chain (corresponding to Gibbs measures), we set the conditions (in terms of temperature) for DNA-RNA renaturation.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":"1 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Eurasian Journal of Mathematical and Computer Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.32523/2306-6172-2023-11-2-57-66","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0
Abstract
The Ising model is considered on a set of DNA together with RNA. DNA belongs to a mammal or bird, while RNA belongs to a virus. Here we use the methods of Gibbs measure theory to study the thermodynamic properties of this model, and these measures describe the phases (states) of the DNA-RNA system. Using a Markov chain (corresponding to Gibbs measures), we set the conditions (in terms of temperature) for DNA-RNA renaturation.
期刊介绍:
Eurasian Journal of Mathematical and Computer Applications (EJMCA) publishes carefully selected original research papers in all areas of Applied mathematics first of all from Europe and Asia. However papers by mathematicians from other continents are also welcome. From time to time Eurasian Journal of Mathematical and Computer Applications (EJMCA) will also publish survey papers. Eurasian Mathematical Journal publishes 4 issues in a year. A working language of the journal is English. Main topics are: - Mathematical methods and modeling in mechanics, mining, biology, geophysics, electrodynamics, acoustics, industry. - Inverse problems of mathematical physics: theory and computational approaches. - Medical and industry tomography. - Computer applications: distributed information systems, decision-making systems, embedded systems, information security, graphics.