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首页> 外文期刊>Proceedings of the National Academy of Sciences of the United States of America >Exact solution of the Eigen model with general fitness functions and degradation rates
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Exact solution of the Eigen model with general fitness functions and degradation rates

机译：具有一般适应度函数和退化率的本征模型的精确解

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摘要

We present an exact solution of Eigen's quasispecies model with a general degradation rate and fitness functions, including a square root decrease of fitness with increasing Hamming distance from the wild type. The found behavior of the model with a degradation rate is analogous to a viral quasispecies under attack by the immune system of the host. Our exact solutions also revise the known results of neutral networks in quasispecies theory. To explain the existence of mutants with large Hamming distances from the wild type, we propose three different modifications of the Eigen model: mutation landscape, multiple adjacent mutations, and frequency-dependent fitness in which the steady-state solution shows a multicenter behavior.
机译：我们提出了具有一般降解率和适应度函数的本征准物种模型的精确解，包括随着野生型汉明距离的增加，适应度的平方根降低。发现的具有降解速率的模型行为类似于受到宿主免疫系统攻击的病毒准种。我们的精确解还修改了准种理论中中性网络的已知结果。为了解释与野生型的汉明距离较远的突变体的存在，我们提出了本征模型的三种不同修改：突变态势，多个相邻突变以及频率依赖性适应性，其中稳态解显示了多中心行为。

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