Relaxation Property and Stability Analysis of the Quasispecies Models
文献类型：期刊论文
| 作者 | Fegn Xiao-Li1,2; Li Yu-Xiao1; Gu Jian-Zhong3,4; Zhuo Yi-Zhong3 |
| 刊名 | COMMUNICATIONS IN THEORETICAL PHYSICS
 |
| 出版日期 | 2009-10 |
| 卷号 | 52页码:726-734 |
| 关键词 | relaxation time critical exponent error threshold |
| ISSN号 | 0253-6102 |
| 英文摘要 | The relaxation property of both Eigen model and Crow-Kimura model with a single peak fitness landscape is studied from phase transition point of view. We first analyze the eigenvalue spectra of the replication mutation matrices. For sufficiently long sequences, the almost crossing point between the largest and second-largest eigenvalues locates the error threshold at which critical slowing down behavior appears. We calculate the critical exponent in the limit of infinite sequence lengths and compare it with the result from numerical curve fittings at sufficiently long sequences. We find that for both models the relaxation time diverges with exponent 1 at the error (mutation) threshold point. Results obtained from both methods agree quite well. From the unlimited correlation length feature, the first order phase transition is further confirmed. Finally with linear stability theory, we show that the two model systems are stable for all ranges of mutation rate. The Eigen model is asymptotically stable in terms of mutant classes, and the Crow-Kimura model is completely stable. |
| WOS关键词 | EIGEN EVOLUTION MODEL ; ISING QUANTUM CHAIN ; ERROR CATASTROPHE ; FITNESS LANDSCAPES ; PHASE-TRANSITIONS ; THRESHOLDS ; REPLICATION ; POPULATIONS ; SELECTION ; CANCER |
| 资助项目 | Major State Basic Research Developing Program[2007CB815003] |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000271194800033 |
| 出版者 | IOP PUBLISHING LTD |
| 源URL | [http://119.78.100.186/handle/113462/57108]  |
| 专题 | 中国科学院近代物理研究所 |
| 通讯作者 | Fegn Xiao-Li |
| 作者单位 | 1.Zhengzhou Univ, Sch Phys Engn, Zhengzhou 450052, Peoples R China 2.Chinese Acad Sci, Inst Biophys, Ctr Computat & Syst Biol, Beijing 100101, Peoples R China 3.China Inst Atom Energy, Beijing 102413, Peoples R China 4.Natl Lab Heavy Ion Accelerator Lanzhou, Ctr Theoret Nucl Phys, Lanzhou 730000, Peoples R China |
| 推荐引用方式 GB/T 7714 | Fegn Xiao-Li,Li Yu-Xiao,Gu Jian-Zhong,et al. Relaxation Property and Stability Analysis of the Quasispecies Models[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2009,52:726-734. |
| APA | Fegn Xiao-Li,Li Yu-Xiao,Gu Jian-Zhong,&Zhuo Yi-Zhong.(2009).Relaxation Property and Stability Analysis of the Quasispecies Models.COMMUNICATIONS IN THEORETICAL PHYSICS,52,726-734. |
| MLA | Fegn Xiao-Li,et al."Relaxation Property and Stability Analysis of the Quasispecies Models".COMMUNICATIONS IN THEORETICAL PHYSICS 52(2009):726-734. |
入库方式： OAI收割
来源：近代物理研究所
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