Evidence map›Paper›PMID 29736875›Full record

ArticleJournal of mathematical biology2018

The geometry of partial fitness orders and an efficient method for detecting genetic interactions.

Caitlin Lienkaemper, Lisa Lamberti, James Drain, Niko Beerenwinkel, Alex Gavryushkin

Open access · hybridAbstract read
In one paragraph

Article in Journal of mathematical biology, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.

0numbers the graph read from it
0cells of the map it votes in
4citing papers in PubMed
0.5field-weighted citation impact, top 25% of its field
1 · What the graph read from it

What it found

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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

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3 · Its place in the literature

Who cites it

4 citing papers in PubMed, 10 citations in OpenAlex.

  1. Distinguishing direct interactions from global epistasis using rank statistics.Proceedings of the National Academy of Sciences of the United States of America · 2025
    Article
  2. Master regulators of biological systems in higher dimensions.Proceedings of the National Academy of Sciences of the United States of America · 2023
    Article
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4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

5 authors at 4 institutions in 3 countries.

Caitlin LienkaemperDepartment of Mathematics, Pennsylvania State University, University Park, USA.
Lisa LambertiDepartment of Biosystems Science and Engineering, ETH Zürich, Basel, Switzerland.
James DrainDepartment of Mathematics, University of California, Los Angeles, USA.
Niko BeerenwinkelDepartment of Biosystems Science and Engineering, ETH Zürich, Basel, Switzerland.
Alex GavryushkinDepartment of Computer Science, University of Otago, Dunedin, New Zealand. alex@gavruskin.com.ORCID 0000-0001-6299-8249
SIB Swiss Institute of Bioinformatics · CHPennsylvania State University · USUniversity of California, Los Angeles · USUniversity of Otago · NZ

Funding

Royal Society of New Zealand RDF-UOO1702
6 · The paper itself

Abstract

We present an efficient computational approach for detecting genetic interactions from fitness comparison data together with a geometric interpretation using polyhedral cones associated to partial orderings. Genetic interactions are defined by linear forms with integer coefficients in the fitness variables assigned to genotypes. These forms generalize several popular approaches to study interactions, including Fourier-Walsh coefficients, interaction coordinates, and circuits. We assume that fitness measurements come with high uncertainty or are even unavailable, as is the case for many empirical studies, and derive interactions only from comparisons of genotypes with respect to their fitness, i.e. from partial fitness orders. We present a characterization of the class of partial fitness orders that imply interactions, using a graph-theoretic approach. Our characterization then yields an efficient algorithm for testing the condition when certain genetic interactions, such as sign epistasis, are implied. This provides an exponential improvement of the best previously known method. We also present a geometric interpretation of our characterization, which provides the basis for statistical analysis of partial fitness orders and genetic interactions.

Indexed as

Genetic FitnessModels, GeneticAlgorithmsAnimalsAntimalarialsBiological EvolutionEpistasis, GeneticGenotypeHumansLinear ModelsMathematical ConceptsMutationPlasmodium vivaxPyrimethamineAntimalarialsPyrimethamine92B05

Identifiers

PMID29736875
PMCPMC6153669
OpenAlexW2953148552

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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.