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The Journal of Physical Chemistry, 1988
1. The Sequence Space 2. The Kinetic Equations 3. How Realistic is the Kinetic Ansatz? 4. Solutions of the Rate Equations 5. Potential Functions, Optimization, and Guided Evolution 6 .
M. Eigen, J. McCaskill, P. Schuster
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1. The Sequence Space 2. The Kinetic Equations 3. How Realistic is the Kinetic Ansatz? 4. Solutions of the Rate Equations 5. Potential Functions, Optimization, and Guided Evolution 6 .
M. Eigen, J. McCaskill, P. Schuster
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Identification of emerging quasi-species in directed enzyme evolution.
Biochemistry, 2009The bases of enzyme evolution are structural changes in protein scaffolds combined with recognition and propagation of novel variants with valuable functional properties.
S. Kurtovic, B. Mannervik
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Human Immunodeficiency Virus: Quasi-Species and Drug Resistance
Multiscale Modeling & Simulation, 2005The theory of quasi-species and replication-mutation dynamics is used to study clonal fitness for human immunodeficiency virus (HIV) in terms of the process of reverse transcription.
J. Murray, A. Perelson
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Human immunodeficiency virus type 1 quasi species that rebound after discontinuation of highly active antiretroviral therapy are similar to the viral quasi species present before initiation of therapy. [PDF]
In an effort to identify the sources of the viruses that emerge after discontinuation of therapy, analyses of human immunodeficiency virus (HIV) quasi species were done for 3 patients with sustained levels of HIV RNA of
H. Imamichi+10 more
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Uniqueness of the fixed point for the quasi-species model under changing environments
Journal of the Korean Physical Society, 2010We investigate the uniqueness of the stable fixed point of the quasi-species models: the Eigen model and the Parallel Mutation-Selection model. Under changing environments with a sharp-peak fitness function where the fitness peak oscillates periodically,
Jeong-Man Park, M. Ancliff
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Viral quasi-species and recombination
Proceedings of the Royal Society of London. Series B: Biological Sciences, 1996Virus populations are complex ensembles of distinct but related genomes (so called quasi-species). Mathematical descriptions of viral quasi-species focus on point mutations as the principal source of variation. However, retroviruses (and many other viruses) are able to recombine their genomes.
M. Boerlijst, S. Bonhoeffer, M. Nowak
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Mathematical Models of Quasi-Species Theory and Exact Results for the Dynamics. [PDF]
We formulate the Crow-Kimura, discrete-time Eigen model, and continuous-time Eigen model. These models are interrelated and we established an exact mapping between them. We consider the evolutionary dynamics for the single-peak fitness and symmetric smooth fitness.
D. Saakian, Chin-Kun Hu
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