A generalizable deep learning framework for inferring fine-scale germline mutation rate maps
Abstract
Germline mutation rates are essential for genetic and evolutionary analyses. Yet, estimating accurate fine-scale mutation rates across the genome is a great challenge, due to relatively few observed mutations and intricate relationships between predictors and mutation rates. Here we present MuRaL (Mutation Rate Learner), a deep learning framework to predict mutation rates at the nucleotide level using only genomic sequences as input. Harnessing human germline variants for comprehensive assessment, we show that MuRaL achieves better predictive performance than current state-of-the-art methods. Moreover, MuRaL can build models with relatively few training mutations and a moderate number of sequenced individuals, and can leverage transfer learning to further reduce data and time demands. We apply MuRaL to produce genome-wide mutation rate maps for four representative species - Homo sapiens, Macaca mulatta, Arabidopsis thaliana and Drosophila melanogaster, demonstrating its high applicability. As an example, we use improved mutation rate estimates to stratify human genes into distinct groups which are enriched for different functions, and highlight that many developmental genes are subject to high mutational burden. The open-source software and generated mutation rate maps can greatly facilitate related research.
02 /Specification & Classification
Click any tag to browse matching papers- Citations
- 17
- FWCI
- 1.14
- Field percentile
- top 23%
- Organism
- Assay
- Research Focus
- Approach
In-depth summary
Claude Opus 5.5 · xhigh effort · 8 Nov 2026 · from the full text of version 3 (16 Aug 2022) · CC BY 4.0
MuRaL, a two-module neural network using only DNA sequence, estimates nucleotide-level germline substitution rates, outperforming k-mer and feature-based human models at fine regional scales.
Building fine-scale germline mutation rate maps is difficult because de novo mutations are scarce and earlier models relied on short contexts (up to 7-mers), linear or generalized linear fits, and often many mutations or functional genomic tracks. MuRaL learns nonlinear signals from about 2Kb of sequence alone with fewer training mutations, making such maps feasible for species without these resources.
Key results
ShownAcross the human autosomes, MuRaL gave the highest genome-wide regional (binned) mutation rate correlations of all compared models, and its advantage grew as bins got smaller. Its k-mer correlations matched the best models even though it used less training data and no functional genomic inputs.
Versus Aggarwala 7-mer, Carlson 7-mer, Carlson 7-mer+features and Karczewski 3-mer on 2,390,435,721 shared autosomal bases (1Mb, 100Kb, 10Kb bins); MuRaL used 1.5 millions training mutations and 260,712 parameters vs 392,128 for Carlson 7-mer+features; Carlson models slightly better for A>C and CpG>GpG 5-/7-mers, MuRaL better in almost all 9-mer correlations. · MuRaL outperforms existing models; Comparison of MuRaL models with previously…
ShownEffective models can be trained on singleton rare variants from just 100 diploid genomes. Scored against denser rare-variant sets, their predictions correlated well and were comparable to models trained on singletons from a larger downsampled population.
'1in200' AT and non-CpG models performed like '1in2000' models trained on equal singleton numbers for Chr20 k-mer (3- to 9-mer) and regional (1Mb, 100Kb, 10Kb) correlations scored on '10in20000' variants; the '1in200' CpG model was close to the '5in1000' model. Default: 500,000 mutated plus 10,000,000 non-mutated training sites. · MuRaL can build effective models with relatively…; Rare variants from gnomAD; Figure legends
ShownTransfer learning from rare-variant models improves de novo mutation (DNM) models trained on limited data. Rare-variant models alone approximate DNM rates about as well as transfer-learned models, so they can stand in when no DNMs are available.
With 150,000 DNMs (AT, non-CpG) or 50,000 (CpG) from gene4denovo, retraining all pre-trained weights gave significantly lower validation losses than ab initio DNM models over ten trials; rare-variant models had lower or similar losses than ab initio and similar Chr1 k-mer and 1Mb regional correlations to transfer models; retraining only last FC layers performed poorly. · Training with DNMs and transfer learning; De novo mutations; Transfer learning; Figure legends
ShownThe framework carries over to other species with modest data. Transfer-learned macaque models match ab initio ones while using less data, and ab initio models for Arabidopsis and Drosophila reach good k-mer and regional correlations from small training sets.
M. mulatta (853 genomes): transfer models trained on 30% of the ab initio data performed similarly on rheMac10 Chr20 with less computation time; A. thaliana (1135 inbred lines; 100,000 training variants per model, 50,000 for CpG): 10Kb regional correlations >0.5 for all mutation types; D. melanogaster: singletons from 205 DGRP inbred lines gave promising correlations. · Generating mutation rate maps for other species; Applying MuRaL to other species
ShownMuRaL rate maps support downstream analyses. Clustering human coding genes by fine-scale rate profiles gives three groups with distinct GO enrichments, including a high-rate developmental cluster, and depletion rank (DR) scores built on MuRaL rates rank pathogenic variants better.
K-means (K=3) on GENCODE v37 genes matched '10in20000' observed rare-variant profiles, unlike clusters from Carlson 7-mer+features or Karczewski 3-mer rates; lowest 10% DR windows (500bp, 50-bp step) had higher ClinVar pathogenic enrichment with MuRaL than Carlson rates (Fisher's exact test, p < 2.2e-16). · Using MuRaL-predicted mutation rates for other…; Mutation rates around human genes; Depletion rank (DR); Figure legends
Methods, data and reproducibility
Each focal base is scored by a local module (k-mer embedding plus fully-connected layers on a 15bp window) and an expanded module (two ResNet 1D CNNs on a one-hot 2001bp window). The four-class probabilities (three substitutions or unmutated) are averaged with equal weights and Dirichlet-calibrated; A/T and C/G sites get separate models, with CpG split off where CpG rates are very high.
- gnomAD v2.1.1 autosomal SNVs, hypergeometrically downsampled into rare-variant sets (1in200, 1in2000, 1in7000, 5in1000, 10in20000) · human · n = 15,708 whole genomes
- Human de novo SNVs from three large studies in the gene4denovo database · human · n = 445,467 unique de novo SNVs
- Rhesus macaque population SNVs on rheMac10, plus reads from three individuals for mappability filtering · Macaca mulatta · n = 853 sequenced genomes; 85.7 million variants · SRR11999190; SRR11999224; SRR12070989
- 1001 Genomes Project variants with per-site coverage used for mappability filtering · Arabidopsis thaliana · n = 1135 inbred lines; 12,883,854 polymorphic sites
- Drosophila Genetic Reference Panel (DGRP) variants, excluding sex chromosomes and heterochromatin · Drosophila melanogaster · n = 205 inbred lines; 3,837,601 polymorphic sites
- ClinVar SNVs (GRCh37 release dated 20220730) for depletion rank enrichment testing · human
- GENCODE v37 protein-coding genes (longest transcript each) for meta-gene profiles and clustering · human
- Published human mutation rate profiles used as baselines (Aggarwala, Carlson, Karczewski models) · human · n = Carlson: 36 million singletons from 3560 individuals
- Methods & tools
- MuRaL (Mutation Rate Learner), PyTorch, Ray Tune (ASHAScheduler), pybedtools, Janggu, Dirichlet calibration, bwa-mem2, deepTools v3.5.1, clusterProfiler v4.4.4, Depletion rank (DR) method (Halldorsson et al.), Carlson 7-mer and 7-mer+features models, Aggarwala 7-mer and Karczewski 3-mer models
- Data & accessions
- https://www.doi.org/10.11922/sciencedb.01173https://hgdownload.soe.ucsc.edu/gbdb/rheMac10/rhesusSNVs/https://1001genomes.org/http://mutation.sph.umich.edu/hg19/https://ftp.ncbi.nlm.nih.gov/pub/clinvar/vcf_GRCh37/clinvar_20220730.vcf.gz
- Software & environment
- MuRaL v1.0.0 built on PyTorch with pybedtools and Janggu; Adam optimizer, Ray Tune ASHAScheduler and StepLR scheduling; deepTools v3.5.1, clusterProfiler v4.4.4, bwa-mem2; gnomAD v2.1.1, GENCODE v37. PyTorch and Ray versions not stated.
- Reproducibility gaps
- Hyperparameter settings and variant counts are in supplementary tables not included here; gnomAD downsampling is random with no seed reported; the authors cite heavy GPU memory demand but report no hardware or runtimes.
Limitations (6)
- Regional accuracy drops on chromosomes rich in recent segmental duplications (Chr7, Chr9, Chr15, Chr16) and in the Chr8 0Mb to 25Mb hypermutable region, where rates are underestimated; the 2Kb input window may miss such region-specific signals. · stated by the authors
- Predicted regional rates have much smaller coefficients of variation than observed rates at 1Mb, 100Kb and 10Kb. The authors attribute this partly to sampling noise and to strong class imbalance in the training data. · stated by the authors
- Rarer mutation types such as CpG>GpG have far fewer training mutations, so the related model parameters are more prone to underfitting. · stated by the authors
- Only autosomal single-nucleotide substitutions are modeled; sex chromosomes, organelle genomes and small insertions or deletions need separate models and further assessment. · stated by the authors
- Collected DNMs were depleted in low-complexity regions and segmental duplications, likely from conservative calling, which can bias transfer learning. Reference genomes and variant sets for non-model species may carry more artifacts. · stated by the authors
- Most evaluation treats gnomAD rare variants, the same source as the training data, as ground truth, so shared calling or selection biases may inflate correlations; DNM-based correlation checks covered only Chr1, with regional ones only at 1Mb using aggregated mutation types. · noted in this summary
Who should read:Read this if you need nucleotide-resolution germline substitution rate maps for human, macaque, Arabidopsis or Drosophila, or want to train sequence-only mutability models where few variants or functional tracks exist.
Reproducibility ledger
Nobody has reported trying to reproduce this paper yet. Did you replicate an experiment or run the code? Your report saves the next lab a week.
Sign in to file a reproducibility report.
Related papers
- A deep learning framework for building INDEL mutation rate maps
Shuyi Deng, Hui Song, Cai Li·bioRxiv·Nov 18, 2025
- RatesTools: a Nextflow pipeline for detecting de novo germline mutations in pedigree sequence data
Ellie E. Armstrong, Michael G. Campana·BioinformaticsPeer-reviewed·Dec 5, 2022
- Mutationathon: towards standardization in estimates of pedigree-based germline mutation rates
L. A. Bergeron, S. Besenbacher, … M. H. Schierup·bioRxiv·Aug 30, 2021
- A method to build extended sequence context models of point mutations and indels
Jörn Bethune, April Snøfrid Kleppe, Søren Besenbacher·Nature CommunicationsPeer-reviewed·Dec 22, 2022
- The mutation rate in human evolution and demographic inference
Aylwyn Scally·bioRxiv·Jun 29, 2016
- Estimation of demography and mutation rates from one million haploid genomes
Joshua G. Schraiber, Jeffrey P. Spence, Michael D. Edge·The American Journal of Human GeneticsPeer-reviewed·Aug 13, 2025