ArticleAmerican journal of human genetics2001
The Ising model in physics and statistical genetics.
Article in American journal of human genetics, 2001. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 10 papers.
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Who cites it
10 citing papers in PubMed.
- Biswas-Chatterjee-Sen Model on Solomon Networks with Two Three-Dimensional Lattices.Entropy (Basel, Switzerland) · 2024Article
- The kinetic Ising model encapsulates essential dynamics of land pattern change.Royal Society open science · 2023Article
- On the renormalization group fixed point of the two-dimensional Ising model at criticality.Scientific reports · 2023Article
- What Does It Take to Solve the 3D Ising Model? Minimal Necessary Conditions for a Valid Solution.Entropy (Basel, Switzerland) · 2022Article
- An expectation maximization algorithm for high-dimensional model selection for the Ising model with misclassified states.Journal of applied statistics · 2022Article
- A modified Ising model of Barabási-Albert network with gene-type spins.Journal of mathematical biology · 2020Article
- Reflections on the Field of Human Genetics: A Call for Increased Disease Genetics Theory.Frontiers in genetics · 2016Article
- Behavior of Early Warnings near the Critical Temperature in the Two-Dimensional Ising Model.PloS one · 2015Article
- Probability genotype imputation method and integrated weighted lasso for QTL identification.BMC genetics · 2013Article
- Age-related macular degeneration--a genome scan in extended families.American journal of human genetics · 2003Article
Corrections and comments
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Authors and funding
3 authors.
Funding
Abstract
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.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.