Leveraging learned representations and multitask learning for lysine methylation site discovery

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This study developed a transformer-based model, MethylSight 2.0, that leverages multitask learning with other lysine post-translational modifications to accurately predict lysine methylation sites, identifying 68 novel ones via mass spectrometry.

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Abstract

Lysine methylation is a dynamic and reversible post-translational modification of proteins carried out by lysine methyltransferase enzymes. The role of this modification in epigenetics and gene regulation is relatively well understood, but our understanding of the extent and the role of lysine methylation of non-histone substrates remains fairly limited. Several lysine methyltransferases which methylate non-histone substrates are overexpressed in a number of cancers and are believed to be key drivers of cancer progression. There is great incentive to identify the lysine methylome, as this is a key step in identifying drug targets. While numerous computational models have been developed in the last decade to identify novel lysine methylation sites, the accuracy of these model has been modest, leaving much room for improvement. In this work, we leverage the most recent advancements in deep learning and present a transformer-based model for lysine methylation site prediction which achieves state-of-the-art accuracy. In addition, we show that other post-translational modifications of lysine are informative and that multitask learning is an effective way to integrate this prior knowledge into our lysine methylation site predictor, MethylSight 2.0. Finally, we validate our model by means of mass spectrometry experiments and identify 68 novel lysine methylation sites. This work constitutes another contribution towards the completion of a comprehensive map of the lysine methylome.
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Keywords

Lysine methylation, lysine methylome, deep learning, transformers, multitask learning

Abstract

Lysine methylation is a dynamic and reversible post-translational modification of proteins carried out by lysine methyltransferase enzymes. The role of this modification in epigenetics and gene regulation is relatively well understood, but our understanding of the extent and the role of lysine methylation of non- histone substrates remains fairly limited. Several lysine methyltransferases which methylate non-histone substrates are overexpressed in a number of cancers and are believed to be key drivers of cancer progression. There is great incentive to identify the lysine methylome, as this is a key step in identifying drug targets. While numerous computational models have been developed in the last decade to identify novel lysine methylation sites, the accuracy of these model has been modest, leaving much room for improvement. In this work, we leverage the most recent advancements in deep learning and present a transformer-based model for lysine methylation site prediction which achieves state-of-the-art accuracy. In addition, we show that other post-translational modifications of lysine are informative and that multitask learning is an effective way to integrate this prior knowledge into our lysine methylation site predictor, MethylSight 2.0. Finally, we validate our model by means of mass spectrometry experiments and identify 68 novel lysine methylation sites. This work constitutes another contribution towards the completion of a comprehensive map of the lysine methylome.

Introduction

Lysine methylation extends far beyond the realm of histone proteins and that it may be more prevalent than previously believed [1]. Studies have uncovered the involvement of non-histone lysine methylation in oncogenic processes chemoresistance and cancer cell proliferation [2], [3], [4], making it a very attractive target for anti-cancer therapies. Therapies targeting non-histone KMTs are emerging, with some even having reached the clinical trial stage with promising signs of efficacy [5], [6]. For instance, Tazemetostat, an inhibitor of EZH2, was trialed and received approval for the treatment of blood and solid malignancies [5]. EZH2 promotes tumorigenesis in glioblastoma and prostate cancer models via STAT3 methylation [7], [8] and in diffuse large B-cell and follicular lymphomas via methylation of the PRC2 complex [5]. Considering that many cancers are driven by KMT overexpression, uncovering the human lysine methylome and the associated KMTs/KDMs would have profound implications in drug discovery and facilitate the identification of drug targets for therapeutic intervention, but would also broaden our general understanding of the lysine methylation-dependent biological processes. Identification of novel lysine methylation sites is possible through experimental methods such as mass spectrometry (MS) [9]. That said, the process is sufficiently resource-intensive that identifying new sites at the proteome scale experimentally is logistically impractical. For that reason, a number of machine learning prediction models have been developed over the years to tackle the lysine methylation prediction problem. 1 .CC-BY 4.0 International licenseperpetuity. It is made available under a preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in The copyright holder for thisthis version posted September 1, 2025. ; https://doi.org/10.1101/2025.08.27.672583doi: bioRxiv preprint The rationale behind these models is that computation can guide our efforts so that time and resources can be invested on validating the most promising potential lysine methylation sites. A wide range of machine learning models trained on lysine methylation datasets to predict lysine methy- lation sites from sequence only have been published over the last two decades. Most of them have relied on the use of “traditional” machine learning algorithms such as support vector machines (SVMs) or random forests (RFs) and human-crafted numerical features. The first predictor, MeMO [10], was built using an SVM classifier using what is now refered to as “one-hot” encoding for a 15 amino acids lysine-centered window. The training set used in that study consisted of a total of 156 positive lysine methylation sites, which represents only an infinitesimal fraction of the space of all lysine-centered 15-mers (156/1420 ≈ 10−19% of the space of possible windows). More recent models used different strategies to represent lysine-centered windows. For example, iMethyl-PseAAC [11] used a SVM model in conjunction with a representation the authors termed “pseudo amino acid composition” (PseAAC). This representation combines evolutionary in- formation from the position-specific scoring matrix (PSSM), physicochemical properties of individual amino acids from the AAIndex [12], and disorder scores to generate a 346-dimensional feature vector. Another well- cited method is GPS-MSP (Group-based Prediction System Methyl-group Specific Predictor), an algorithm published in 2017 [13], was trained on 1,521 methyllysines sites and used an alignment-based custom scoring function to measure window similarity in conjunction with 𝑘-means clustering (unsupervised learning) to predict not only methylation sites, but also the methylation state (mono-, di-, or tri-), an ambitious task given the scarcity of data available to train models to this level of granularity. Attempts to leverage deep learning methods to address the challenging task of accurately predicting the lysine methylome remain scarce as of the time of writing. Recently, Spadaro et al. applied convolutional neural networks (CNNs) to representations combining phylogenetic, physicochemical, structural, and binary encodings to predict lysine methylation sites [14]. The PTM-Mamba model  [15] makes use of the Mamba architecture, an attention-free state-space model with architectural optimizations designed to enhance com- putational efficiency over long sequences. More specifically, PTM-Mamba fuses Mamba-generated sequence embeddings with embeddings generated by the ESM-2 protein language model (pLM) to predict a wide array of PTMs which, for some reason, do not include lysine methylation. Bepler and Berger have shown that multitask language models better capture the semantic organization of proteins by training a bidirectional long short-term memory (LSTM) to complete three tasks simultaneously: masked language modeling, residue-residue contact prediction, and structural similarity prediction [16]. Here, we hypothesize that knowledge about other PTMs of lysine residues such as acetylation, ubiquitina- tion, sumoylation, and phosphorylation can inform models designed to predict methylation. This hypothesis arises as a result of the fact that enzymes catalyzing PTMs are known to compete to modify the same lysine residues and that this competition constitutes an additional layer of protein function modulation. Consis- tent with this fact, the PhosphoSitePlus  [17], a well-maintained database which curates post-translational modifications of proteins, lists 31,845 lysine residues in human proteins with annotations for two or more post-translational modifications (PTMs) (Figure 1). Of the 4,958 validated methylation sites in the database, 2,375 sites (48%) are subject to at least one other known modification. It is a reasonable supposition that there might be some partial overlap in the physico-chemical environments that promote lysine methylation and other PTMs, such as solvent accessibility, surrounding amino acid properties, and steric (spatial) constraints. As a result, the lysine methylation prediction problem is amenable to a multitask learning formulation, wherein lysine methylation prediction is one task among several PTM prediction tasks, and that jointly training a single model on several such tasks concomitantly could lead to better prediction accuracy through knowledge transfer. To our knowledge, this idea has been exploited only once for the uncommon propionylation PTM of lysines [18]. In that work, the authors trained a recurrent neural network (RNN) on lysine malonylation sites and fine-tuned it using a dataset of lysine propionylation sites to extract features that are then fed into an SVM classifier. That work did exploit transfer learning, but did not use a multitask learning scheme, as the training 2 .CC-BY 4.0 International licenseperpetuity. It is made available under a preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in The copyright holder for thisthis version posted September 1, 2025. ; https://doi.org/10.1101/2025.08.27.672583doi: bioRxiv preprint Figure 1. Co-occurence of common post-translational modification of lysines in the Phospho- SitePlus database The overlap of four major PTMs of lysines among human proteins are shown in this Venn diagram. These numbers were computed using the 10/17/24 update of the PhosphoSitePlus database  [17]. Many yet-to-be- discovered modifications remain to be deposited. Of the four major modifications of lysines, methylation is the one with the fewest annotations. was not performed for both tasks (i.e. propionylation and malonylation prediction) simultaneously. A model was trained for the malonylation prediction task first, and subsequently trained to predict propionylation sites, of which there were fewer known instances (431 as opposed to 9,584). Currently, no one has proposed a lysine methylation site prediction model that leverages 1) state-of-the-art neural architecture, i.e. the transformer and 2) domain adaptation by means of transfer learning techniques such as multitask learning. In addition, very few groups have proven with in vitro experiments that the estimates of accuracy of their models translate into the lab upon deployment. In this work, we address these opportunities to develop a more accurate and robust lysine methylation predictor. Our contributions are summarized below. Contribution 1 - Improved prediction accuracy: We bootstrap embeddings generated with pLMs trained on millions of protein sequences to train a model, MethylSight 2.0, which produces dramatically more accurate predictions than previous lysine methylation predictors; Contribution 2 - Use of multitask learning to enhance model accuracy: We demonstrate that training a transformer-based neural network architecture with a multitask learning strategy can lead to more accurate predictions; Contribution 3 - Experimental validation: We show, by means of MS validation experiments performed on sites predicted to be methylated by our model, MethylSight 2.0, that the accuracy our model translates experimentally and identify 68 novel lysine methylation sites; Contribution 4 - Bioinformatics analysis of the MethylSight 2.0 predicted lysine methylome: We deploy MethylSight 2.0 at the proteome scale to identify previously unknown methylation sites and conduct analyses to identify biological processes wherein lysine methylation sites are overrepresented. 3 .CC-BY 4.0 International licenseperpetuity. It is made available under a preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in The copyright holder for thisthis version posted September 1, 2025. ; https://doi.org/10.1101/2025.08.27.672583doi: bioRxiv preprint Table 1. Composition of the PhosphoSitePlus dataset (human lysines) Modification Important functions Unique proteins Positive sites Negative sites (low confidence) Methylation Chromatin and gene expression regulation (histones), signaling, enzyme (in)activation [19] 2,751 4,966 157,385 Acetylation Protein stability, regulation of PPIs and protein-DNA interac- tions (histones) [20] 7,047 22,547 333,013 Sumoylation Alteration of molecular interactions of substrate through addi- tion/hiding interaction surfaces [21] 2,646 8,391 124,274 Ubiquitination Regulation of protein degradation, autophagy, protein traffick- ing [22] 11,712 96,545 377,547

Methods

Lysine methylation dataset preparation With the intent of creating a dataset for multitask learning involving multiple PTM types, we retrieved PTM data for lysines occurring in human proteins by mining the PhosphoSitePlus database [17] (10/17/24 update) for methylation, ubiquitination, sumoylation, and acetylation, which are all known to be modifications of lysines. The composition of the PhosphoSitePlus dataset is summarized in Table 1. Gathering positive lysine modification data is relatively straightforward, but identifying the “negative” sites to complete the training set needed to train a binary classifier is more arduous. It is difficult to ascertain with confidence that a lysine not known to be modified never is. In reality, sites taken to be “negative” may corre- spond to yet-to-be discovered methylation sites. Some groups simply take as negative training examples sites not known to be modified [23], [24], which we argue might disproportionately bias the learning algorithm towards making negative predictions. For this reason, it is typical to only use a subset of sites without PTM annotations as negative in PTM site prediction challenges, following some heuristics [25]. A typical practice is to only label as negatives unlabeled sites that occur within a protein containing a known modified site elsewhere [10], [25], [26], [27], [28]. To train and test MethylSight [25], a lab-validated SVM-based model that achieved state-of-the-art performance upon publication, we applied two additional criteria to label potential lysine methylation as “negative” in addition to the latter. More specifically, sites were considered “negative” in the training set if they were not known to be substrates for another PTM (ubiquitination, sumoylation, or acetylation) and were predicted to be buried (relative solvent accessibility factor < 0.2, as predicted with NetSurfP v1.0  [29]). In this work, we applied the same curation method, but used an updated version of NetSurfP (v3.0 [30]). This approach allowed us to build a dataset with high-confidence negatives. To address the issue of redundancy in the data, which could cause overrepresentation of certain patterns in the dataset and data leakage, i.e. similar patterns in the training and test data, we clustered the windows based on sequence identity at a similarity threshold of 70% with CD-HIT  [31], as done previously [25], and selected one representative from each cluster at random, favouring a positive representative (methylation site) if one occurred within a cluster. Finally, 20% of the non-redundant sites were set aside for testing. We used an identical workflow to assemble the training sets for ubiquitination, acetylation, and sumoylation sites required for multitask learning, but did not set any data aside for testing, given that we are only interested in methylation site prediction. The composition of the final dataset is presented in Table 2. 4 .CC-BY 4.0 International licenseperpetuity. It is made available under a preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in The copyright holder for thisthis version posted September 1, 2025. ; https://doi.org/10.1101/2025.08.27.672583doi: bioRxiv preprint Figure 2. Preparation of a high-quality lysine modification dataset To create the dataset used as part of this study, we sourced data from the PhosphoSitePlus database (for PTM annotations) and the UniProt database (for protein sequences). Only proteins with at least one methylated lysine residue were included in the dataset. Exposed residues of unknown status and/or having an anotation for another PTM were discarded, while the remaining lysines not known to be methylated were selected to make up the negative training data. The redundancy in the dataset was reduced with CD-HIT, using a window size of 31 for clustering and a 70% identity threshold. A blind test set was created by setting aside 20% of this data. Table 2. Composition of the high-confidence dataset used to train and test the models Methylation Ubiquitination Acetylation Sumoylation Training set (pos/neg) 2,415/15,699 68,539/58,314 15,791/51,498 5,737/15,862 Validation set (pos/neg) 604/3,925 Test set (pos/neg) 755/4,906 Pre-trained protein-language model embeddings pLMs have been shown to generate rich embeddings that capture physicochemical, phylogenetic and structural information that are extremely useful for a variety of downstream tasks, including structure prediction [32], [33], property prediction (e.g. viscosity [34], stability [35], etc.), localization prediction [35], [36], and peptide binder design [37], [38], [39], to cite a few. Given that these representations were learned on massive collections of protein sequences and performed well on these tasks, we hypothesized that they may also contain useful information for the prediction of lysine methylation sites. Moreover, these embeddings capture more context about the potential methylation sites than traditional human-engineered representations. They consider a large portion (or all) of the protein, depending on the pLM’s context length (window size) and the protein length. 5 .CC-BY 4.0 International licenseperpetuity. It is made available under a preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in The copyright holder for thisthis version posted September 1, 2025. ; https://doi.org/10.1101/2025.08.27.672583doi: bioRxiv preprint We leveraged representations learned by three state-of-the-art foundational model pLMs: ProtT5  [40], ESM-2 [32], and Ankh [36] (Table 3) and fed the human proteome to all three models to generate embeddings for each lysine in the training and test sets – and to later predict the comprehensive human lysine methylome. Table 3. Foundational protein language models used to embed potential lysine methylation sites Model Architecture Version Embedding dimension Parameters (approx.) Training strategy Training data ProtT5 [40] Encoder- decoder ProtT5-XL- BFD 1,024 3B 1-gram random masking with demasking BFD (pre-training; ~2.1B sequences) and UniRef50 (fine- tuning; ~45M sequences) ESM-2 [32] Encoder-only ESM-2- T33-650M- UR50D 1,280 650M 1-gram random masking with demasking UniRef50+90 (~65M sequences) Ankh [36] Encoder- decoder Ankh Large 1,536 1B 1-gram random masking with full sequence reconstruction UniRef50 (~45M sequences) Training multilayer perceptrons leveraging pLM-generated embeddings Using Optuna  [41], we trained 50 MLPs  (MLPs) on the embedding vectors of lysine sites extracted with ProtT5, ESM-2 and Ankh, sampling at random the learning rate, number and width of of hidden layers, and the dropout rate used for regularization. We selected as our final models the ones with the highest validation area under the precision-recall curve (AUPRC). All models were trained using PyTorch [42] with the Adam optimizer [43] with a batch size of 64, using binary cross-entropy as the loss function: ℒCE = − 1 𝑁 ∑ 𝑁 𝑖=1 𝑦𝑖 log(̂𝑦𝑖) + (1 − 𝑦𝑖) log(1 −̂𝑦𝑖) where 𝑦𝑖 = 1 if the site 𝑖 is methylated and 𝑦𝑖 = 0 otherwise, while ̂𝑦𝑖 ∈ [0, 1] is the predicted probability of that the site 𝑖 is methylated. We selected the model using an early stopping strategy, using the validation loss to monitor for overfitting. We repeated this procedure using the embeddings generated by all three aforementioned pLMs. In addition, we trained MLPs on a “combined” representation resulting from a concatenation of all three embeddings, for a total of four final MLP models. Training a transformer model To determine whether training a transformer-based model could further improve the quality of the predic- tions, we implemented a model which leverages this architecture. We used a context size of 31 amino acids, the ProtT5 embeddings as representations for the individual amino acids in the sequence ( i.e. the tokens), and padded with a zero-filled 1,024-D vector, if the lysine site was too close to the end of the protein chain (Figure 3A). To capture the positional information of the individual tokens, we used the cannonical positional embedding strategy described in  [44]. We used 4 heads in each attention block. A schematic representation of this architecture is shown in Figure 3B. The Adam optimizer was used, but with a batch size of 128. Similarly to the approach used to train the MLPs, we conducted hyperparameter tuning in a randomized fashion and varied the number of encoder transformer blocks, the learning rate, the number of hidden layers in the classification module (i.e. the dense layers that follow the transformer layers), and the width of the “embedding layer” and trained a total of 50 models. We used the same loss function and early stopping stratedy as for the MLPs to select the final model for each run. The final transformer architecture selected was the one with the highest AUPRC on the validation set. 6 .CC-BY 4.0 International licenseperpetuity. It is made available under a preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in The copyright holder for thisthis version posted September 1, 2025. ; https://doi.org/10.1101/2025.08.27.672583doi: bioRxiv preprint Multitask learning with a transformer model To investigate whether a multitask learning strategy could enhance the quality of the predictions, we enriched our training set with sites and their annotation for the three other PTMs of interest: acetylation, ubiquitination, and sumoylation. In this context, the “tasks” consist in predicting the four different PTMs of interest. We do not know or can’t assume with a satisfying level of certainty the true label for each task for all sites. For example, we may know that a site is acetylated, but not know whether it is also ubiquitinated. Consequently, we chose to not associate each instance or site with 4 labels. Instead, each instance in the dataset is a site associated with a PTM and a label associated to that site and PTM. Consequently, a given site may appear up to 4 times in the training set, in the specific case where a label for each PTM is known. We implemented another transformer model where the last transformer block is followed by a flattening layer whose output is sent to one of four classification heads, depending on the task, i.e. prediction of methylation, acetylation, etc. (Figure 3C). Each classification head is designed to predict whether a site is subjected to the corresponding PTM . For each instance in the training set, we only probe the probability output by the head corresponding to the PTM (“task”) associated with the instance. We use a custom batch sampling strategy to train the model wherein all instances in a batch are associated with only one of the four PTM. This ensures that the loss over a batch is only used to update the parameters of the classification head associated with the PTM (and the upstream parameters), but not the three classi- fication heads which are used for the other tasks. In other terms, we use partial parameter sharing, i.e. only the parameters in the transformer layers and upstream are shared across tasks. Given that the methylation sites are vastly outnumbered by other sites, we multiply the loss for methylation batches by a factor 𝛾 in order to produce larger updates for the shared model weights when methylation sites are misclassified relative to misclassified instances of other PTMs. We tried 𝛾 ∈ {1, 13.5, 20}, 1:13.5 being approximatively the methylation-to-other PTMs ratio. The loss function for the multitask learning strategy effectively takes the form: ℒ = 𝛾ℒCE, me + ℒCE, ub + ℒCE, ac + ℒCE, su where ℒCE, 𝑡 = {− 1 𝑁 ∑𝑁 𝑖=1 𝑦𝑖 log(̂𝑦𝑖) + (1 − 𝑦𝑖) log(1 −̂𝑦𝑖) , if batch is for task 𝑡 0 , otherwise The rest of the model selection was done as for the transformer model without the multitask learning training strategy described in the previous section. We henceforth refer to this model as MethylSight 2.0. Estimation of the expected imbalance To accurately estimate the precision of MethylSight  2.0 upon deployment on the human proteome, an estimate of the class imbalance is required. The human proteome in UniProt/Swiss-Prot database (2025_01 release) [45] comprises 654,185 lysines residues in 20,417 unique proteins, of which an unknown fraction can be methylated under specific biological circumstances such as in response to a biological event, in a stage of development, or in specific tissue types. Berryhill et al. [46] published a study which provides some useful insight into the ratio of methylated to unmethylated lysines observable through mass spectrometry experiments. In their study, they assessed the sequence bias of commercially available pan-methyllysine antibodies and performed global profiling of lysine methylation in HEK293T (human embryonic kidney) and U2OS (human osteosarcoma) cells with samples enriched with combinations of less biased anti-Kme1, anti-Kme2, and anti-Kme3 antibodies and their combinations. They identified a total of 5,089 lysine methylation sites evenly distributed through the proteome, of which 4,862 are novel. 7 .CC-BY 4.0 International licenseperpetuity. It is made available under a preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in The copyright holder for thisthis version posted September 1, 2025. ; https://doi.org/10.1101/2025.08.27.672583doi: bioRxiv preprint Figure 3. Transformer model architectures for methylation site prediction without and with multitask learning (A) The inputs to our transformer-based models are the ProtT5 embeddings extracted from the full protein, with a context window of 31, centered around the lysine residue of interest. When a lysine residue is too close to an end of the protein sequence, null embeddings () are appended to complete the context window. (B) Architecture of our vanilla transformer-based model for methylation probability prediction. (C) Modified transformer architecture designed to enable a multitask learning strategy. More specifically, after the flattening layer, instance representations are sent to one of four PTM-specific classification heads, depending on the task associated with the individual instances. Using the data collected in this study, we made the assumption that the estimated the imbalance ratio of methylated-to-unmethylated lysines detectable via mass spectrometry without and following enrichment with the antibodies currently in use to be roughly 1:36. This corresponds to the ratio of methylated lysines to lysines not found to be methylated in the proteins that were pulled down in the samples (i.e. with at least one epitope for the anti-Kme antibodies used). It is difficult to speculate about what lysines are or are not methylated in proteins that were not pulled down, so we only estimate what one may observe in a global profiling experiment with mass spectrometry. We use this ratio to evaluate the anticipated precision of MethylSight-2.0, when coupled with a mass spectrometry experiment. This figure is an approximation derived from samples extracted from two specific cell types, and as such, it may not apply uniformly across all tissue types and across the entire proteome. 8 .CC-BY 4.0 International licenseperpetuity. It is made available under a preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in The copyright holder for thisthis version posted September 1, 2025. ; https://doi.org/10.1101/2025.08.27.672583doi: bioRxiv preprint Selection of predicted methylation sites for in vitro validation We subsequently sought to estimate the actual precision of MethylSight  2.0 upon deployment onto the human proteome. To achieve this, we selected 100 sites predicted to be methylated by MethylSight 2.0, but which were not known methylation sites. Using a conservative threshold on predicted methylation proba- bility (i.e. PCPr1:36 = 0.75), we sampled 50 sites at random from each of the following two sets: 1. Set 1: Exposed lysine residues known to be acetylated, ubiquitinated, and/or sumoylated; 2. Set 2: Exposed lysine residues with no known modification. Furthermore, under the hypothesis supported by the phenomena of PTM competition that these other modifications provide useful information for the identification of novel lysine methylation sites, one would expect to detect more methylation events within sites sampled from Set 1 than within sites sampled from Set 2. To allow for this comparison, we ensured that the methylation probabilities were similarly distributed in both samples. Validation of predicted methylation sites via mass spectrometry Using the Pyteomics package for Python [47], we generated an isolation list tabulating the peptide fragments and their mass-to-charge ratios for the +2, +3 and +4 charged states and for all four methylation states (null, mono-, di-, tri-), resulting in a total of 1,200 predicted peaks. The isolation list can be found in the supplementary materials. parallel reaction monitoring mass spectrometry   (PRM-MS) experiments were conducted at the John L. Holmes Mass Spectrometry Facility at the University of Ottawa with a Q Exactive™ Plus Hybrid Quadrupole- Orbitrap™ mass spectrometer, using the aforementioned isolation list to guide the scanning. The results were obtained from a single injection of a Thermo-Fisher Pierce™ HeLa protein digest standard. We opted to monitor for methylation in this sample because it is guaranteed to have a low missed tryptic cleavage rate (<10%) and minimal methionine oxidation and lysine carbamylation (<10%). Furthermore, these standards are thoroughly tested for quality, which improves the reproducibility of the results.

Results

and discussion MethylSight 2.0: performance and benchmarking The predictive performances on the blind test set of the final models are tabulated in Table 4. All models trained as part of this work perform significantly better on the blind test set than methods published previously (GPS-MSP [13], MethylSight 1.0 [25], Met-Predictor [23]), in spite of the fact that these

Methods

have likely encountered some of the sites in our test set during training, which would confer them an unfair advantage. In fact, our worst performing model, a MLP using lysine embeddings produce by the ESM-2 pLM was associated with a 25% improvement over the state of the art (SOTA) in terms of both AUPRC and precision at 0.5 recall ([email protected]). Among the MLP models we trained on the four representations produced by the three pLMs considered, the model trained on ESM-2 embeddings performed noticeably worse relative to the other three representations which produced similar results, though the model trained on the combined embeddings appears to have a performance modestly superior to that of the MLPs trained on ProtT5 and Ankh embeddings. The relative performance of the different representations is consistent with the sizes of the pLMs, ProtT5 being 3 times the size of Ankh, and 4.6 times the size of ESM-2, in terms of learnable parameter counts. This observation is consistent with evidence that pLMs performance scales with model size following a power law [48], [49]. The use of a transformer architecture trained “from scratch”specifically for the task of predicting lysine methylation prediction did allow for an improvement in performance over the use of lysine embeddings generated by all three foundational pLMs in MLPs. Our best single-task transformer model slightly outper- formed the best MLP (i.e. the MLP trained on concatenated ProtT5-Ankh-ESM-2 embeddings), using AUPRC as a metric. However, it produced a more significant improvement in precision at the a 50% recall threshold of nearly 10%. This showcases the power of the self-attention mechanism, as attention layer parameters in 9 .CC-BY 4.0 International licenseperpetuity. It is made available under a preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in The copyright holder for thisthis version posted September 1, 2025. ; https://doi.org/10.1101/2025.08.27.672583doi: bioRxiv preprint Table 4. Prediction accuracy of our models and publicly available methods on the blind test set (1:6.5 imbalance)

Method

AUPRC AUROC [email protected] Transformer (w/ multitask learning) 0.672 0.874 0.769 Transformer (w/o multitask learning) 0.642 0.867 0.734 MLP (Combined embeddings) 0.624 0.859 0.637 MLP (ProtT5 embeddings) 0.620 0.854 0.620 MLP (Ankh embeddings) 0.611 0.848 0.609 This work MLP (ESM-2 embeddings) 0.517 0.829 0.520 MethylSight 1.0 [25] 0.267 0.677 0.242 Met-Predictor [23] 0.254 0.646 0.221Previous SOTA GPS-MSP [13] 0.179 0.588 0.175 our transformer model were learned specifically for the lysine methylation prediction task as opposed to the more general masked language modeling objective, as is was case for the foundational models. Looking at the PRCs (PRCs) assessing model performance on our blind test set (Figure 4A), we see that implementing a multitask learning strategy leveraging knowledge about other PTMs is useful, as our best model (hyperparameters tabulated in Table 5) outperforms all other models over the entire range of possible recall values (or operating thresholds). However, this advantage is anticipated to dissipate at higher recall values assuming that the true class imbalance of methylation sites to non-methylation sites in the proteome is higher than that in the test set (e.g., 1:100 as opposed to 1:6.5; Figure 4C). This suggests that knowledge of other PTMs of lysines can indeed transfer to lysine methylation. This is consistent with our initial hypothesis as well as with the establish phenomenon of PTM competition wherein lysine modifying enzyme “compete” to modify specific lysine residues [50], [51], [52]. Identification and validation of novel lysine methylation sites The PRM-MS experiments on a HeLa cell lysate guided with an isolation list listing tryptic peptides corre- sponding to MethylSight 2.0-predicted methylation sites revealed a significant number of hits (Figure 5A). In fact, 68 of the 100 sites predicted to be methylated produced transitions consistent with methylated peptides with a fair or better level of confidence. In contrast, for only 6 of the sites could evidence of the unmethylated peptide and no evidence of methylation be found. The results were inconclusive for 26 peptides, i.e. the peptide could not be detected, neither in a unmethylated state, nor in a methylated state. In the worst case where we consider all inconclusive sites to be negative, MethylSight 2.0 would achieve a precision of 68%. The precision becomes 91.9% if we discard sites for which no transitions could be detected from the analysis. It is likely that the precision we would have observed, if all results had been conclusive, would lie somewhere within that range. This suggests that an imbalance ratio of 1:36 is a reasonable estimate. Interestingly, we found that more methylation sites were found for lysines that were not known to be otherwise modified (39) than were found for lysines known to be acetylated, ubiquitinated, or sumoylated (29). This observation contradicts our initial hypothesis that more methylation sites would be detected among proteins which are known to be otherwise modified, because of their “modifiable” character. One plausible explanation is that one or more of these other modifications might have in fact competed with methylation, thus reducing its abundance and preventing its detection. We choose here to highlight two sites occuring within proteins of high biological and clinical significance which produced transitions unequivocally consistent with methylation: the 𝛾 subunit of the Eukaryotic elongation factor 1 (eEF1 𝛾) and DnaJ homolog subfamily B member 11 (DNAJB11). eEF1𝛾 is one of four subunit of the eEF1 complex, along with the 𝛼, 𝛽 and 𝛿 subunits [53]. Though not be- lieved to be a catalytically active member of the complex [54], eEF1𝛾 is believed to act as a structural scafford for the 𝛼 subunit and to facilitate the complex’s function of bringing aminoacyl tRNAs to the ribosome for 10 .CC-BY 4.0 International licenseperpetuity. It is made available under a preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in The copyright holder for thisthis version posted September 1, 2025. ; https://doi.org/10.1101/2025.08.27.672583doi: bioRxiv preprint Figure 4. Precision-recall curves and receiver operating characteristic curves of the models on the independent test set The precision-recall and receiver operating characteristic curves for the best performing models and/or training strategies were computed using a blind and independent test set of potential lysine methylation sites not seen during training. (A) The precision-recall curves are shown for the test set (1:6.5 imbalance). (B) The associated ROC curves are shown. (C) Prevalence-corrected precision assuming a true 1:36 imbalance between methylated and unmethylated sites provides more pessimistic estimate of performance. (D) The performance metrics are show for two different imbalance ratios (1:6.5 and 1:36). translation [53]. Beyond its role in the elongation factor 1 complex, eEF1𝛾 is predicted to have “moonlighting” roles and be involved in several other biological processes including viral ribonucleic acid (RNA) transcrip- tion, oxidative stress response, cytoskeleton-membrane linking, and cellular trafficking [55]. MethylSight 2.0 correctly predicted the methylation of K428 in eEF1𝛾 (Figure 5B), which is located within the C-terminus domain of the protein. While the N-terminus end of eEF1 𝛾 is known to interact with eEF1𝛼 and anchor it into the complex, the role of the C-terminus end of the protein is not a clearly understood, aside from the fact that it is highly conserved and protease resistant [56]. There is some evidence that interaction with the 𝛽 subunit of the eEF1 complex may occur at the C-terminus domain  [57]. Therefore, it is plausible that the methylation status of eEF1𝛾 -K428 could modulate the interaction between these the 𝛽 and 𝛾 subunits. Given that eEF1𝛾 has been found to interact with actin [58], it is possible that methylation of K428 could 11 .CC-BY 4.0 International licenseperpetuity. It is made available under a preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in The copyright holder for thisthis version posted September 1, 2025. ; https://doi.org/10.1101/2025.08.27.672583doi: bioRxiv preprint Table 5. Hyperparameters used to train the most accurate model (MethylSight 2.0) Parameter Value Learning rate 8 × 10−7 Number of epochs 100 Weight factor of methylation loss (𝛾) 20 Batch size 128 Number of transformer blocks 2 Heads per self-attention layer 4 Width of the first (pre-attention) dense layer 1,600 Widths of the dense layers (classification heads) 1,797; 1,803; 338; 493 Embedding dimension 1,024 Dropout rate 0.15 modulate this interaction and influence cytoskeleton dynamics if it indeed occurs at the C-terminus. eEF1𝛾’s clinical significance is supported by the observation that it overexpressed in gastric carcinoma  [59], colon adenocarcinoma [60], and pancreatic cancer [61], in all likelihood so that cancer cells can satisfy the higher translation load required to adapt and proliferate. Altogether, our observation that eEF1𝛾 is methylated on K438 combined with its involvement in key biological processes and cancer warrants further investigations into the biological significance of the modification. Clear transitions consistent with the presence of a methyllysine were also recorded for the tryptic peptide fragment from DNAJB11 containing K66 (Figure 5C). DNAJB11 is a member of the DNAJ (or HSP40) subclass of family of heat shock proteins which all share a J-domain. The role of this highly conserved domain is to stimulate the hydrolysis of ATP by chaperones in the HSP70 protein family whose main function is stabilize or restore the native protein conformation of potentially misfolded client proteins under cellular stress [62]. Proteins in the DNAJ family have been implicated in tumor progression and metastasis  [62]. DNAJB11 in particular has been overexpressed in pancreatic cancer, where exosomal DNAJB11 regulates expression of EGFR activates the MAPK pathway [63] and in liver cancer, by preventing alpha-1-antitrypsin degradation [64]. In contrast, low DNAJB11 messenger RNA  (mRNA) levels appear to be correlated with worse outcomes in thyroid carcinoma [65]. In addition to it role in several cancers, research has shown that phosphorylation of T188 in DNAJB11 can reduce the aggregation of 𝛼-synuclein in Parkinson’s disease [66]. As such, an association between K66 methylation and Parkinson’s disease is possible, either directly via an unknown mechanism, or indirectly, through the modulation of T188 phosphorylation via cross-talk, for example. In all cases, since it is located within the J-domain, it is likely that the methylation of K66 is biologically significant, and this result provides a rationale for the characterization of K66. The predicted human lysine methylome Using conservative settings (i.e. at PCPr1:36 = 0.75), MethylSight  2.0 identified a total of 62,567 lysine methylation sites within 13,791 different proteins in the human proteome (Figure 6A). Based on our perfor- mance assessment and an estimated imbalance ratio of 1:36, we anticipate that out of these predicted sites, ∼47,000 (75%) are actual methylation sites. This figure, alone, is significantly higher than the ∼30,000 sites predicted with 63% precision by MethylSight 1.0. Given that the estimated recall of MethylSight 2.0 under these conditions is ~30%, we estimate the size of the lysine methylome at ~155,000. Statistically significant enrichment in several biological process and molecular function GO terms were identified (Figure 6B). Of note, we observed overrepresentation in methylated proteins of terms related to translation, ribosomal biogenesis and structure, and cytoskeleton structure. Enrichment of related terms in methylated proteins was also observed within the MethylSight 1.0-predicted lysine methylome  [25], and is also supported by the literature. For instance, methylation of several lysine residues in the human elongation factor 1A (eEF1A) is known to regulate ribosome biogenesis and actin cytoskeleton dynamics, among others [67]. The methylation of elongation factor eEF2 by the lysine methyltransferase (KMT) FAM86A is 12 .CC-BY 4.0 International licenseperpetuity. It is made available under a preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in The copyright holder for thisthis version posted September 1, 2025. ; https://doi.org/10.1101/2025.08.27.672583doi: bioRxiv preprint Figure 5. MethylSight 2.0-enabled discovery of novel lysine methylation sites with PRM-MS (A) High-level overview of the methodology employed to validate 100 methylation sites identified with MethylSight 2.0 and distribution of the compiled results. (B) Transitions for the tryptic peptide containing eEF1𝛾-K428 (EYFSWEGAFQHVGK). The mass-to-charge ratios of the y ions are shown. The transitions of the null, mono-, di-, and tri-methylation states are plotted separately for clarity, because the measured intensity varies in scale. (C) Transitions for the tryptic peptide containing DNAJB11-K66 (NPDDPQAQEK). also known to regulate translation dynamics  [68]. The literature also supports the involvement of lysine methylation in cytoskeleton regulation. The role of lysine methylation in cytoskeleton regulation is well- established [69]. The α-tubulin cytoskeletal protein is known to be tri-methylated by SETD2 (and acetylated) on K40, and loss of methylation has been associated with “catastrophic microtubule defects” which impair DNA repair mechanisms [70] and cell cycle progression  [71]. Recently, methylation of BCAR3 on K334 by SMYD2 in breast cancer was shown to enhance lamellipodia dynamics of breast cancer cells through the recruitment of Formin-like proteins which accelerate actin polymerization and facilitate cell proliferation and metastasis in vivo [72]. Interestingly, our SAFE analysis of methylated proteins mapped onto the HuRI human interactome (Figure 6C) also shows subnetworks where overrepresentation of GO terms related to RNA processing and regulation and cytoskeleton organization is observed. In Figure 6D, we illustrate the predicted prevalence of lysine methylation events in a subset of the actin cytoskeleton pathway (KEGG: hsa04810). Most proteins in this important subset of the pathway contain several lysine methylation sites. 13 .CC-BY 4.0 International licenseperpetuity. It is made available under a preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in The copyright holder for thisthis version posted September 1, 2025. ; https://doi.org/10.1101/2025.08.27.672583doi: bioRxiv preprint Figure 6. The lysine methylome as predicted by MethylSight 2.0 (A) Distribution of methylation probability for all 654,185 lysines in the human proteome. The sites predicted to be methylated only while operating under conservative settings (PCPr = 0.75) are shown in green. (B) Top 10 overrepresented gene ontology (GO) terms for the biological process (purple) and molecular function (blue) categories. Overrepresentation is statistically significant ( 𝑝-value < 0.05; Fisher’s exact test with Bonferroni correction for multiple testing). (C) Visual representation of the spatial analysis of functional enrichment (SAFE) analysis results; i.e. functional domains within the interaction network of methylated proteins and the most frequent words present in the GO terms associated with proteins in the domains. (D) Subset of the actin cytoskeleton regulation pathway (KEGG: hsa04810). Proteins are colored on a white-to- red scale, with darker shades indicating a higher degree of methylation. 14 .CC-BY 4.0 International licenseperpetuity. It is made available under a preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in The copyright holder for thisthis version posted September 1, 2025. ; https://doi.org/10.1101/2025.08.27.672583doi: bioRxiv preprint Cancer mutations associated with a predicted loss of methylation at a proximal site MethylSight 2.0 was used to predict the impact of the 1,000 most frequent missense mutations in the COSMIC database [73] on the predicted methylation score of lysines within the mutant protein. The COSMIC database contains a curated list of somatic mutations and their impact in cancer. We found that scores were relatively insensitive to these mutations except in select cases where the mutations were in close proximity with a lysine. Interestingly, we only observed predicted loss of methylation (using the conservative operating threshold). We detected 25 lysines that were no longer predicted to be methylated and associated with a decrease in methylation score ≥ 0.02 in presence of a mutation (Figure 7A). The most striking loss of predicted methylation are associated with the RhoAG17V and RhoAG17E mutations. In these mutants, the neighbouring K18 is no longer predicted to be a methylation site. K18, like the mutated G17, is located amidst the GDP binding pocket (Figure 7B). While methylation of RhoA-K18 has never been – to the best of our knowledge – confirmed experimentally, it is possible that methylated K18 could modulate RhoA activity. In fact, though it is believed that mutations in G17 impair GDP/GTP binding  [74], it is not known exactly how this mutation impairs binding of GDP/ GTP. Given the proximity of K18 to the GTP/GDP binding site, it is not implausible that alteration of the methylation status could alter RhoA’s ability to bind and release GTP/GDP or coordinate Mg2+. Taken together, this provides an interesting avenue for further investigation so as to determine whether 1 RhoA-K18 is a true methylation site and 2 loss of methylation occurs in these mutants in vitro, and 3 this loss of methylation directly impacts GTP/GDP binding. Performance of MethylSight 2.0 on non-human proteins We deployed MethylSight 2.0 on the set of all known non-human lysine methylation sites catalogued in the PhosphoSitePlus database (360 sites). Interestingly, MethylSight 2.0 achieved a recall of 0.383 when applied to these sites (at PCPr1:36 = 0.75). This is on the same order as its predicted recall (i.e. 0.299) on human lysines operating at the same decision threshold. This suggests that methylation sites in non-human organisms share homology with sites in human proteins. Figure 7. Predicted loss of methylation in oncogenic proteins (A) Changes in predicted methylation score resulting in predicted loss of methylation associated with the 1,000 most commonly reported cancer-associated single amino acid mutations in the Catalog of Somatic Mutations reported in the Cancer (COSMIC) database. Shown are score changes of at least 2%. (B) Position of K18 (in purple) in the X-ray structure of RhoA (PDB: 1DPF). The GDP co-factor is in beige with the two phosphate groups in orange. 15 .CC-BY 4.0 International licenseperpetuity. It is made available under a preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in The copyright holder for thisthis version posted September 1, 2025. ; https://doi.org/10.1101/2025.08.27.672583doi: bioRxiv preprint The observation that MethylSight 2.0 achieved a better recall than predicted on this set of sites provides some evidence that the imbalance between methylated and non-methylated lysines could actually be lower than the one we estimated ( i.e. 1:36) at the proteome scale, but further experiments would be required to confirm this. The MethylSight 2.0 server To make MethylSight 2.0 accessible to the broader community, we implemented a web server (Figure 8) which can be accessed at https://methylsight2.cubic.ca. The server is easy-to-use and allows users to select the operating threshold (precision and recall) that suits them best, depending on the application. The web server processes individual protein sequences. Users interested in batch predictions may run MethylSight  2.0 as a standalone software on their own hardware. The Methylsight  2.0 source code, model weights, and instructions on how to use the software can be found on GitHub: https://github.com/ GreenCUBIC/MethylSight2.

Conclusion

Our work demonstrates that deep representations learned by pLMs trained on tens of millions of protein are rich in information directly relevant for the task of lysine methylation site prediction and significantly im- prove the quality of the predictions. In fact, using these deep representations, we successfully trained model that achieved more than double the AUPRC of previous models trained on human-engineered descriptors of protein sequences, such as those generated by ProtDCal  [75] alongside the SVM-based MethylSight 1.0 predictor. We also showed that leveraging knowledge about other PTMs by means of a multitask learning strategy can further enhance the quality of the predictions. To the best of our knowledge, our model MethylSight 2.0 is the first lysine methylation prediction model to leverage pLM-generated representations Figure 8. MethylSight 2.0 web server (A) The user can either provide the UniProt accession ID or the sequence of the human protein of interest. If the protein is from another organism or is a non-canonical human protein (e.g., isoform or mutant), the user must provide a FASTA-formatted sequence through a text box or uploading the equivalent FASTA file. (B) Once the results are available, a precision-recall curve computed for MethylSight 2.0 on our test set with an assumed real imbalance ratio of 1:36 is presented. This provides the user with an visual interpretation of the operating threshold and the optimal threshold which can be tuned with a slider. The results are presented as a table which can be downloaded in CSV format. 16 .CC-BY 4.0 International licenseperpetuity. It is made available under a preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in The copyright holder for thisthis version posted September 1, 2025. ; https://doi.org/10.1101/2025.08.27.672583doi: bioRxiv preprint and to employ a multitask learning strategy to extract knowledge from useful data that would otherwise be left unexploited. In an effort to validate the predictions made by MethylSight 2.0 and show that it can successfully guide lysine methylation site discovery in vivo, we performed a validation PRM-MS experiment guided by MethylSight 2.0 predictions on a high-quality HeLa cell lysate. We uncovered 68 previously unidentified lysine methylation sites, some of which among proteins of high biological and/or therapeutic relevance, further showing the usefulness of our model as a drug target identification tool. Applying MethylSight 2.0 to the human proteome provides insight into the extent of the lysine methylome. In fact, our analyses of the MethylSight  2.0-predicted lysine methylome suggests that the number of methyllysines in the human proteome may be even larger than previously believed (∼50,000  [25]), though this number remains difficult to estimate, given that our validation experiment was limited to 100 sites, and it seems unlikely that so few sites would be representative of the entire human proteome. Additional validation experiments would be required to get a more accurate portrait of the human lysine methylome landscape. Lysine methylation is a highly dynamic process which competes with several other PTMs, and a given lysine may be methylated to varying degrees under different conditions, e.g., during development, in response to an environmental trigger, or in specific tissue types. Given that our model was trained in a tissue-blind fashion, i.e. positive sites in the training set were known to be methylated in at least one tissue type, we anticipate that validation experiments on methylation sites identified with MethylSight 2.0 may need to be performed in more than one cell type. There could be significant value in training a cell-specific lysine methylation predictor that could predict whether a lysine is methylated in a given tissue type , but training such a model would require tissue-specific datasets which are currently not publicly available. Furthermore, in this study, we did not distinguish between the three possible methylation states. It is impor- tant to acknowledge that different methylation states can be associated with different – sometimes opposite – phenotypes. Several other groups have attempted to address this problem [13], [23], [76], but with limited success. Further research is needed to design an accurate predictor of mono-, di-, and trimethylated lysines. Finally, MethylSight 2.0 does not attempt to associate a KMT with sites predicted to be methylated. This challenge is of prime importance, as therapeutic intervention would normally target the KMT or lysine demethylase (KDM) responsible for the modification. However, it is non-trivial given the scarcity of data for some KMTs, which in certain cases only have a few dozen known substrates or fewer. At the time of writing, we are aware of only one KMT -specific model for SET8  [77] which could be used in conjunction with MethylSight 2.0. Taken together, this work constitutes a significant contribution toward the elucidation of the human lysine methylome. In addition, MethylSight  2.0 can be deployed in a targeted fashion to determine whether lysines within proteins involved in a pathway of interest are probable methylation site. It therefore affords experimentalists with a tool which can help formulate rational hypotheses, guide experiments, and cut costs through prioritization of candidates for validation experiments.

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Green: Conceptualization, Writing - Review & Editing, Funding acquisition All authors approved of the manuscript. Funding This research was funded by the National Science and Engineering Research Council (NSERC) Canada Discovery grant awarded to Kyle K. Biggar (RGPIN-2023-04651) and James R. Green (RGPIN-2021-04184). Conflicts of interest The authors have no conflicts of interest to disclose. 22 .CC-BY 4.0 International licenseperpetuity. It is made available under a preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in The copyright holder for thisthis version posted September 1, 2025. ; https://doi.org/10.1101/2025.08.27.672583doi: bioRxiv preprint .CC-BY 4.0 International licenseperpetuity. It is made available under a preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in The copyright holder for thisthis version posted September 1, 2025. ; https://doi.org/10.1101/2025.08.27.672583doi: bioRxiv preprint .CC-BY 4.0 International licenseperpetuity. It is made available under a preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in The copyright holder for thisthis version posted September 1, 2025. ; https://doi.org/10.1101/2025.08.27.672583doi: bioRxiv preprint .CC-BY 4.0 International licenseperpetuity. It is made available under a preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in The copyright holder for thisthis version posted September 1, 2025. ; https://doi.org/10.1101/2025.08.27.672583doi: bioRxiv preprint .CC-BY 4.0 International licenseperpetuity. It is made available under a preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in The copyright holder for thisthis version posted September 1, 2025. ; https://doi.org/10.1101/2025.08.27.672583doi: bioRxiv preprint .CC-BY 4.0 International licenseperpetuity. It is made available under a preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in The copyright holder for thisthis version posted September 1, 2025. ; https://doi.org/10.1101/2025.08.27.672583doi: bioRxiv preprint .CC-BY 4.0 International licenseperpetuity. It is made available under a preprint (which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in The copyright holder for thisthis version posted September 1, 2025. ; https://doi.org/10.1101/2025.08.27.672583doi: bioRxiv preprint .CC-BY 4.0 International licenseperpetuity. 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