The Ising model in physics and statistical genetics.
The Ising model in physics and statistical genetics.
复制标题
物理学和统计遗传学中的伊辛模型。
DOI：
10.1086/323419
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发表时间：
2001
影响因子：
9.8
通讯作者：
Ott,J
中科院分区：
文献类型：
--
作者：
Majewski,J;Li,H;Ott,J
跨学科交流正在成为当今科学环境的重要组成部分。在不同学科中开发的理论模型通常可以成功地用于解决看似无关的问题，这些问题可以简化为类似的数学公式。伊辛模型是统计物理学中提出的一种用于分析铁磁物质的磁相互作用和结构的简化模型。在这里，我们提出了一个应用程序的一维，线性伊辛模型影响同胞对（ASP）的遗传学分析。通过分析模拟的遗传学数据，我们表明，简化的伊辛模型与遗传标记之间只有最近邻的相互作用具有统计特性相比，更复杂的遗传学分析算法，如在Allegro和Mapmaker-Sibs程序中实现的。我们还调整模型，包括上位相互作用，并证明其有用性，在检测修饰基因座与弱个人的遗传贡献。对1型糖尿病数据的重新分析发现了以前通过其他分析方法未发现的几个易感基因座。
Interdisciplinary communication is becoming a crucial component of the present scientific environment. Theoretical models developed in diverse disciplines often may be successfully employed in solving seemingly unrelated problems that can be reduced to similar mathematical formulation. The Ising model has been proposed in statistical physics as a simplified model for analysis of magnetic interactions and structures of ferromagnetic substances. Here, we present an application of the one-dimensional, linear Ising model to affected-sib-pair (ASP) analysis in genetics. By analyzing simulated genetics data, we show that the simplified Ising model with only nearest-neighbor interactions between genetic markers has statistical properties comparable to much more complex algorithms from genetics analysis, such as those implemented in the Allegro and Mapmaker-Sibs programs. We also adapt the model to include epistatic interactions and to demonstrate its usefulness in detecting modifier loci with weak individual genetic contributions. A reanalysis of data on type 1 diabetes detects several susceptibility loci not previously found by other methods of analysis.