# Deep learning model to predict mRNA degradation

Last Updated on October 4, 2021 by Editorial Team

**Author(s): Abid Ali Awan**

#### Deep Learning

Designing a deep learning model that will predict degradation rates at each base of an RNA molecule using the Eterna dataset comprising over 3000 RNA molecules.

mRNA vaccines are at forefront of battling the COVID-19 pandemic and they come with limitations. The stability issue in messenger RNA (mRNA) molecules limits us to package it in a disposable syringe and distribute it around the world using the refrigerating system (nih.gov). The main challenge is to design a stable mRNA vaccine that can survive shipment around the world as a single cut can render the entire vaccine useless. The researchers have also discovered that mRNA molecules tend to degrade quickly, and, in this project, we are going to design the model to predict degradation rate that can help scientists and researchers design more stable vaccines in the future. Currently, to overcome this problem we are keeping these vaccines under intense refrigeration but that is also limited as these vaccines are available to fewer people around the world.* OpenVaccine: COVID-19 mRNA Vaccine Degradation Prediction*

### Project Objectives

In this project, we are going to explore our dataset and then preprocessed sequence, structure, and predicted loop type features so that they can be used to train our deep learning GRU model. Finally predicting degradation records on public and test datasets.

### Getting Ready

We will be using **TensorFlow** as our main library to build and train our model and JSON/Pandas to ingest the data. For visualization, we are going to use Plotly and for data manipulation Numpy.

# Dataframe

import json

import pandas as pd

import numpy as np

# Visualization

import plotly.express as px

# Deeplearning

import tensorflow.keras.layers as L

import tensorflow as tf

# Sklearn

from sklearn.model_selection import train_test_split

#Setting seeds

tf.random.set_seed(2021)

np.random.seed(2021)

### Training Parameters

- Target columns: reactivity, deg_Mg_pH10, deg_Mg_50C, deg_pH10, deg_50C
- Model_Train: True if you want to Train a model which takes 1 hour to train.

# This will tell us the columns we are predicting

target_cols = ['reactivity', 'deg_Mg_pH10', 'deg_Mg_50C', 'deg_pH10', 'deg_50C']

Model_Train = True # True if you want to Train model which take 1 hour to train.

Our model performance metric is **MCRMSE **(Mean column-wise root mean squared error), which takes root mean square error of ground truth of all target columns.

where the number of scored ground truth target columns, and are the actual and predicted values, respectively.

def MCRMSE(y_true, y_pred):## Monte Carlo root mean squared errors

colwise_mse = tf.reduce_mean(tf.square(y_true - y_pred), axis=1)

return tf.reduce_mean(tf.sqrt(colwise_mse), axis=1)

The mRNA degradation data is available on Kaggle.

### Columns detail explanation

**id**— Unique identifier sample.**seq_scored**— This should match the length of reactivity, deg_*, and*error*columns.**seq_length**— The length of the sequence.**sequence**— Describes the RNA sequence, a combination of A, G, U, and C for each sample.**structure**— An array of (, ), and. characters donate to the base is to be paired or unpaired.**reactivity**— These numbers are reactivity values for the first 68 bases used to determine the likely secondary structure of the RNA sample.**deg_pH10**— The likelihood of degradation after incubating without magnesium on pH10 at base or linkage.**deg_Mg_pH10**— The likelihood of degradation after incubating with magnesium on pH 10 at base or linkage.**deg_50C**— The likelihood of degradation after incubating without magnesium at 50 degrees Celsius at base or linkage.**deg_Mg_50C**— The likelihood of degradation after incubating with magnesium at 50 degrees Celsius at base or linkage.— calculated errors in experimental values obtained in reactivity, and deg_* columns.***_error_*****predicted_loop_type**— Loop types assigned by bpRNA from Vienna which suggests, S: paired Stem, M: Multiloop, I: Internal loop, B: Bulge, H: Hairpin loop, E: dangling End, X: external loop

### Observing Data

data_dir = "stanford-covid-vaccine/"

train = pd.read_json(data_dir + "train.json", lines=True)

test = pd.read_json(data_dir + "test.json", lines=True)

sample_df = pd.read_csv(data_dir + "sample_submission.csv")

we have sequence, structure, and predicted loop types that are in text formats. We will be converting them into numerical tokens so that they can be used to train deep learning models. Then we have arrays within columns from reactivity_error to deg_50C that we will be using as targets.

train.head(2)

print('Train shapes: ', train.shape) print('Test shapes: ', test.shape)

Train shapes: (2400, 19)

Test shapes: (3634, 7)

Test data set have only sequence, structure, predicted_loop_type, seq_length, seq_scored, and id. We will be using a test dataset to predict the degradation rate for the public leader board score.

### Signal to noise distribution

We can see the signal-to-noise distribution is between 0 to 15 and the majority of samples lie between 0–6. We have also negative values that we need to get rid of.

fig = px.histogram(

train,

"signal_to_noise",

nbins=25,

title='signal_to_noise distribution',

width=800,

height=400

)

fig.show()

train = train.query("signal_to_noise >= 1")

### Sequence Test length

After looking at sequence length distribution we know that we have two distinctive sequence lengths, one at 107 and another at 130.

fig = px.histogram(

test,

"seq_length",

nbins=25,

title='sequence_length distribution',

width=800,

height=400

)

fig.show()

### Splitting Test into Public and Private DataFrame

Let’s split our test dataset based on sequence length. Doing this will improve the overall performance of our GRU model.

public_df = test.query("seq_length == 107")

private_df = test.query("seq_length == 130")

Creating a character to integers dictionary that we are going to use to covert our RNA sequence, structure, and predictive loop type into integers.

token2int = {x: i for i, x in enumerate("().ACGUBEHIMSX")}

token2int

{'(': 0, ')': 1, '.': 2, 'A': 3, 'C': 4, 'G': 5, 'U': 6, 'B': 7, 'E': 8, 'H': 9, 'I': 10, 'M': 11, 'S': 12, 'X': 13}

### Converting DataFrame to 3D Array

The function below takes a Pandas data frame and converts it into a 3D NumPy array. We will be using it to convert both training features and targets.

def dataframe_to_array(df):

return np.transpose(np.array(df.values.tolist()), (0, 2, 1))

### Tokenization of Sequence

The function below uses a string to integer dictionary that we had created early to convert training features into arrays containing integers. Then we will be using dataframe_to_array to convert our dataset into a 3D NumPy array.

def dataframe_label_encoding(

df, token2int, cols=["sequence", "structure", "predicted_loop_type"]

):

return dataframe_to_array(

df[cols].applymap(lambda seq: [token2int[x] for x in seq])

) ## tokenization of Sequence, Structure, Predicted loop

### Preprocessing Features and Labels

- Using label endorsing function on our training features.
- Converting target data frame into a 3D array.

train_inputs = dataframe_label_encoding(train, token2int) ## Label encoding

train_labels = dataframe_to_array(train[target_cols]) ## dataframe to 3D array to

### Train & Validation split

Splitting our training data into train and validation sets. We are using signal to noise filter to equally distribute our dataset.

x_train, x_val, y_train, y_val = train_test_split(

train_inputs, train_labels, test_size=0.1, random_state=34, stratify=train.SN_filter

)

### Preprocessing Public and Private Dataframe

Earlier we have split our test dataset into public and private based on sequence length now we are going to use dataframe_label_encoding to tokenized and reshape it into NumPy array as we have done the same with the training dataset.

public_inputs = dataframe_label_encoding(public_df, token2int)

private_inputs = dataframe_label_encoding(private_df, token2int)

### Training / Evaluating Model

#### Build Model

Before jumping directly into the deep learning model, we have tested other gradient boosts such as Light GBM and CatBoost. As we were dealing with the sequence, I experimented with BiLSTM models, but they all performed worst compared to the triple GRU model with linear activation.

This model is influenced by xhlulu initial models, and I was amazed at how simple the GRU layer can produce the best results possible without using data augmentation or feature engineering.

To learn more about RNNs, LSTM and GRU, please see this blog post.

def build_model(

embed_size, # Length of unique tokens

seq_len=107, # public dataset seq_len

pred_len=68, # pred_len for public data

dropout=0.5, # trying best dropout (general)

sp_dropout=0.2, # Spatial Dropout

embed_dim=200, # embedding dimension

hidden_dim=256, # hidden layer units

):

inputs = L.Input(shape=(seq_len, 3))

embed = L.Embedding(input_dim=embed_size, output_dim=embed_dim)(inputs)

reshaped = tf.reshape(

embed, shape=(-1, embed.shape[1], embed.shape[2] * embed.shape[3])

)

hidden = L.SpatialDropout1D(sp_dropout)(reshaped)

# 3X BiGRU layers

hidden = L.Bidirectional(

L.GRU(

hidden_dim,

dropout=dropout,

return_sequences=True,

kernel_initializer="orthogonal",

)

)(hidden)

hidden = L.Bidirectional(

L.GRU(

hidden_dim,

dropout=dropout,

return_sequences=True,

kernel_initializer="orthogonal",

)

)(hidden)

hidden = L.Bidirectional(

L.GRU(

hidden_dim,

dropout=dropout,

return_sequences=True,

kernel_initializer="orthogonal",

)

)(hidden)

# Since we are only making predictions on the first part of each sequence,

# we have to truncate it

truncated = hidden[:, :pred_len]

out = L.Dense(5, activation="linear")(truncated)

model = tf.keras.Model(inputs=inputs, outputs=out)

model.compile(optimizer="Adam", loss=MCRMSE) # loss function as of Eval Metric

return model

### Building model

building our model by adding embed size (14) and we are going to use default values for other parameters.

- sequence length: 107
- prediction length: 68
- dropout: 0.5
- spatial dropout: 0.2
- embedded dimensions: 200
- hidden layers dimensions: 256

model = build_model(

embed_size=len(token2int) ## embed_size = 14

) ## uniquie token in sequence, structure, predicted_loop_type

model.summary()

Model: "model"

_________________________________________________________________

Layer (type) Output Shape Param #

=================================================================

input_1 (InputLayer) [(None, 107, 3)] 0

_________________________________________________________________

embedding (Embedding) (None, 107, 3, 200) 2800

_________________________________________________________________

tf.reshape (TFOpLambda) (None, 107, 600) 0

_________________________________________________________________

spatial_dropout1d (SpatialDr (None, 107, 600) 0

_________________________________________________________________

bidirectional (Bidirectional (None, 107, 512) 1317888

_________________________________________________________________

bidirectional_1 (Bidirection (None, 107, 512) 1182720

_________________________________________________________________

bidirectional_2 (Bidirection (None, 107, 512) 1182720

_________________________________________________________________

tf.__operators__.getitem (Sl (None, 68, 512) 0

_________________________________________________________________

dense (Dense) (None, 68, 5) 2565

=================================================================

Total params: 3,688,693

Trainable params: 3,688,693

Non-trainable params: 0

_________________________________________________________________

### Training Model

We are going to train our model for 40 epochs and save the model checkpoint in the Model folder. I have experimented with batch sizes from 16, 32, 64 and by far 64 batch sizes produced better results and fast convergence.

As we can observe both training and validation loss (MCRMSE) is reducing with every iteration until 20 epochs and from there they start to diverge. For the next experimentation, we will be keeping the number of epochs limited to twenty to get fast and better results.

if Model_Train:

history = model.fit(

x_train,

y_train,

validation_data=(x_val, y_val),

batch_size=64,

epochs=40,

verbose=2,

callbacks=[

tf.keras.callbacks.ReduceLROnPlateau(patience=5),

tf.keras.callbacks.ModelCheckpoint("Model/model.h5"),

],

)

Epoch 1/40

30/30 - 69s - loss: 0.4536 - val_loss: 0.3796

Epoch 2/40

30/30 - 57s - loss: 0.3856 - val_loss: 0.3601

Epoch 3/40

30/30 - 57s - loss: 0.3637 - val_loss: 0.3410

Epoch 4/40

30/30 - 57s - loss: 0.3488 - val_loss: 0.3255

Epoch 5/40

30/30 - 57s - loss: 0.3357 - val_loss: 0.3188

Epoch 6/40

30/30 - 57s - loss: 0.3295 - val_loss: 0.3163

Epoch 7/40

30/30 - 57s - loss: 0.3200 - val_loss: 0.3098

Epoch 8/40

30/30 - 57s - loss: 0.3117 - val_loss: 0.2997

Epoch 9/40

30/30 - 57s - loss: 0.3046 - val_loss: 0.2899

Epoch 10/40

30/30 - 57s - loss: 0.2993 - val_loss: 0.2875

Epoch 11/40

30/30 - 57s - loss: 0.2919 - val_loss: 0.2786

Epoch 12/40

30/30 - 57s - loss: 0.2830 - val_loss: 0.2711

Epoch 13/40

30/30 - 57s - loss: 0.2777 - val_loss: 0.2710

Epoch 14/40

30/30 - 57s - loss: 0.2712 - val_loss: 0.2584

Epoch 15/40

30/30 - 57s - loss: 0.2640 - val_loss: 0.2580

Epoch 16/40

30/30 - 57s - loss: 0.2592 - val_loss: 0.2518

Epoch 17/40

30/30 - 57s - loss: 0.2540 - val_loss: 0.2512

Epoch 18/40

30/30 - 57s - loss: 0.2514 - val_loss: 0.2461

Epoch 19/40

30/30 - 57s - loss: 0.2485 - val_loss: 0.2492

Epoch 20/40

30/30 - 57s - loss: 0.2453 - val_loss: 0.2434

Epoch 21/40

30/30 - 57s - loss: 0.2424 - val_loss: 0.2411

Epoch 22/40

30/30 - 57s - loss: 0.2397 - val_loss: 0.2391

Epoch 23/40

30/30 - 57s - loss: 0.2380 - val_loss: 0.2412

Epoch 24/40

30/30 - 57s - loss: 0.2357 - val_loss: 0.2432

Epoch 25/40

30/30 - 57s - loss: 0.2330 - val_loss: 0.2384

Epoch 26/40

30/30 - 57s - loss: 0.2316 - val_loss: 0.2364

Epoch 27/40

30/30 - 57s - loss: 0.2306 - val_loss: 0.2397

Epoch 28/40

30/30 - 57s - loss: 0.2282 - val_loss: 0.2343

Epoch 29/40

30/30 - 57s - loss: 0.2242 - val_loss: 0.2392

Epoch 30/40

30/30 - 57s - loss: 0.2232 - val_loss: 0.2326

Epoch 31/40

30/30 - 57s - loss: 0.2207 - val_loss: 0.2318

Epoch 32/40

30/30 - 57s - loss: 0.2192 - val_loss: 0.2339

Epoch 33/40

30/30 - 57s - loss: 0.2175 - val_loss: 0.2287

Epoch 34/40

30/30 - 57s - loss: 0.2160 - val_loss: 0.2310

Epoch 35/40

30/30 - 57s - loss: 0.2137 - val_loss: 0.2299

Epoch 36/40

30/30 - 57s - loss: 0.2119 - val_loss: 0.2288

Epoch 37/40

30/30 - 57s - loss: 0.2101 - val_loss: 0.2271

Epoch 38/40

30/30 - 57s - loss: 0.2088 - val_loss: 0.2274

Epoch 39/40

30/30 - 57s - loss: 0.2082 - val_loss: 0.2265

Epoch 40/40

30/30 - 57s - loss: 0.2064 - val_loss: 0.2276

### Evaluate training history

Both validation and training loss were reduced until 20 epochs. The validation loss became flat after 35 so in my opinion, we should test results on both 20 and 35 epochs.

if Model_Train:

fig = px.line(

history.history,

y=["loss", "val_loss"],

labels={"index": "epoch", "value": "MCRMSE"},

title="History",

)

fig.show()

### Loading models and making predictions

The test dataset was divided into public and private sets that have different sequence lengths, so in order to predict degradation on different lengths, we need to build 2 different models and load our saved checkpoints. This is possible because RNN models can accept sequences of varying lengths as inputs. Artificial Intelligence (https://ai.stackexchange.com/questions/2008/how-can-neural-networks-deal-with-varying-input-sizes)

We are going to build two distinctive models with varying sequences and prediction lengths. Our public model contains 107 sequence lengths whereas our private model contains 130 sequence lengths. We will be loading our saved weight into both models to predict the degradation of mRNA.

model_public = build_model(seq_len=107, pred_len=107, embed_size=len(token2int))

model_private = build_model(seq_len=130, pred_len=130, embed_size=len(token2int))

model_public.load_weights("Model/model.h5")

model_private.load_weights("Model/model.h5")

#### Prediction

We have successfully predicted for both public and private data sets. In the next step, we will be combining them using test id.

public_preds = model_public.predict(public_inputs)

private_preds = model_private.predict(private_inputs)

private_preds.shape

(3005, 130, 5)

### Post-processing and submit

**Converting 3D NumPy array into Data frame:**

- combining both private and public data frames.
- Adding series of integers in front of id based on a sequence of single predictions for example [id_00073f8be_0,id_00073f8be_1,id_00073f8be_2 ..]
- Concatenating all of the data into Pandas Dataframe and preparing for submission.

preds_ls = []

for df, preds in [(public_df, public_preds), (private_df, private_preds)]:

for i, uid in enumerate(df.id):

single_pred = preds[i]

single_df = pd.DataFrame(single_pred, columns=target_cols)

single_df["id_seqpos"] = [f"{uid}_{x}" for x in range(single_df.shape[0])]

preds_ls.append(single_df)

preds_df = pd.concat(preds_ls)

preds_df.head()

reactivity deg_Mg_pH10 deg_Mg_50C deg_pH10 deg_50C id_seqpos

0 0.685760 0.703746 0.585288 1.857178 0.808561 id_00073f8be_0

1 2.158555 3.243329 3.443042 4.394709 3.012130 id_00073f8be_1

2 1.432280 0.674404 0.672512 0.662341 0.718279 id_00073f8be_2

3 1.296234 1.306208 1.898748 1.324560 1.827133 id_00073f8be_3

4 0.851104 0.670810 0.971952 0.573919 0.962205 id_00073f8be_4

#### Submission

Merging sample data frame with predicted on id_seqpos to avoid repetition and make sure it follows submission format. Finally, save our data frame into .csv file.

submission = sample_df[["id_seqpos"]].merge(preds_df, on=["id_seqpos"])

submission.to_csv("Submission/submission.csv", index=False)

submission.head()

id_seqpos reactivity deg_Mg_pH10 deg_Mg_50C deg_pH10 deg_50C

0 id_00073f8be_0 0.685760 0.703746 0.585288 1.857178 0.808561

1 id_00073f8be_1 2.158555 3.243329 3.443042 4.394709 3.012130

2 id_00073f8be_2 1.432280 0.674404 0.672512 0.662341 0.718279

3 id_00073f8be_3 1.296234 1.306208 1.898748 1.324560 1.827133

4 id_00073f8be_4 0.851104 0.670810 0.971952 0.573919 0.962205

### Conclusion

This was a unique experience for me as I was dealing with JSON files with multiple arrays within single samples. After figuring out how to use the data, the challenge became quite simple and the Kaggle community have a bigger part in helping me achieve that. This article was purely model-based and apart from building the model, I have explored the dataset and used data analysis to make sense of some of the common patterns. I wanted to include my experiments with other gradient boosting and LSTM models, but then I decided to present the best possible model.

We have used JSON files and converted them into tokenized 3D Numpy arrays and then used the 3X GRU model to predict the degradation rate of mRNA. Finally, we have used saved weights to create distinct models for varying lengths of the RNA sequence. I will suggest you use my code and play around to check whether you can beat my score on the leader board.

### Source Code

### Additional Data

**How RNA vaccines work, and their issues: **https://www.pbs.org/wgbh/nova/video/rna-coronavirus-vaccine/

**Launch of the OpenVaccine challenge:** https://scopeblog.stanford.edu/2020/05/20/stanford-biochemist-works-with-gamers-to-develop-covid-19-vaccine/

**The impossibility of mass immunization: **https://www.wsj.com/articles/from-freezer-farms-to-jets-logistics-operators-prepare-for-a-covid-19-vaccine-11598639012

**Eterna, the crowdsourcing platform for RNA design:** https://eternagame.org

### References

- Image 1 — https://news.harvard.edu/gazette/story/newsplus/harvard-establishes-mrna-immunotherapy-research-collaboration-with-moderna/
- Image 2 -https://news.harvard.edu/gazette/story/newsplus/harvard-establishes-mrna-immunotherapy-research-collaboration-with-moderna/
- Data — https://www.kaggle.com/c/stanford-covid-vaccine/data

### Author

**Abid Ali Awan**I am a certified data scientist professional, who loves building machine learning models and research on the latest AI technologies. I am currently testing AI Products at PEC-PITC, which later get approved for human trials for example Breast Cancer Classifier.

**You can follow me on ****LinkedIn****, ****Twitter****, and ****Polywork**** where I post my article on weekly basis.**

The media shown in this article are not owned by Analytics Vidhya and are used at the Author’s discretion.

*Originally published at **https://www.analyticsvidhya.com** on September 4, 2021.*

Deep learning model to predict mRNA degradation was originally published in Towards AI on Medium, where people are continuing the conversation by highlighting and responding to this story.

Published via Towards AI