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+---
+title: "lazar read across models for lowest adverse effect levels: A comparison of experimental variability with read across predictions"
+author: Christoph Helma^1^, David Vorgrimmler^1^, Denis Gebele^1^, Elena Lo Piparo^2^
+E-mail: helma@in-silico.ch
+include-before: ^1^ in silico toxicology gmbh, Basel, Switzerland\newline^2^ Chemical Food Safety Group, Nestlé Research Center, Lausanne, Switzerland
+keywords: (Q)SAR, read-across, LOAEL
+date: \today
+abstract: " "
+documentclass: achemso
+bibliography: references.bib
+bibliographystyle: achemso
+biblio-style: achemso
+---
+
+# Introduction
+
+The main objectives of this study are
+
+ - to investigate the experimental variability of LOAEL data
+ - develop predictive model for lowest observed effect levels
+ - compare the performance of model predictions with experimental variability
+
+# Methods
+
+## Data
+
+### Mazzatorta dataset
+
+### Swiss Federal Office dataset
+
+ Only rat LOAEL values were used for the current investigation, because they correspond directly to the Mazzatorta dataset.
+
+### Preprocessing
+
+ Chemical structures in both datasets are represented as SMILES strings [@doi:10.1021/ci00057a005]. Syntactically incorrect and missing SMILES were generated from other identifiers (e.g names, CAS numbers) when possible.
+ Studies with undefined (“0”) or empty LOAEL entries were removed for this study.
+
+## Algorithms
+
+ For this study we are using the modular lazar (*la*zy *s*tructure *a*ctivity *r*elationships) framework [@Maunz2013] for model development and validation.
+
+ lazar follows the following basic workflow: For a given chemical structure it searches in a database for similar structures (neighbors) with experimental data, builds a local (Q)SAR model with these neighbors and uses this model to predict the unknown activity of the query compound. This procedure resembles an automated version of *read across* predictions in toxicology, in machine learning terms it would be classified as a *k-nearest-neighbor* algorithm.
+
+ Apart from this basic workflow lazar is completely modular and allows the researcher to use any algorithm for neighbor identification and local (Q)SAR modelling. Within this study we are using the following algorithms:
+
+### Neighbor identification
+
+ Similarity calculations are based on MolPrint2D fingerprints [@doi:10.1021/ci034207y] from the OpenBabel chemoinformatics library [@OBoyle2011].
+
+ The MolPrint2D fingerprint uses atom environments as molecular representation, which resemble basically the chemical concept of functional groups. For each atom in a molecule it represents the chemical environment with the atom types of connected atoms.
+
+ The main advantage of MolPrint2D fingerprints over fingerprints with predefined substructures (such as OpenBabel FP3, FP4 or MACCs fingerprints) is that it may capture substructures of toxicological relevance that are not included in predefined substructure lists.
+ Preliminary experiments have shown that predictions with MolPrint2D fingerprints are indeed more accurate than fingerprints with predefined substructures.
+
+ From MolPrint2D fingerprints we can construct a feature vector with all atom environments of a compound, which can be used to calculate chemical similarities.
+
+[//]: # https://openbabel.org/docs/dev/FileFormats/MolPrint2D_format.html#molprint2d-format
+
+ The chemical similarity between two compounds is expressed as the proportion between atom environments common in both structures and the total number of atom environments (Jaccard/Tanimoto index (@sim)).
+
+ (@sim) $sim = \frac{|A \cap B|}{|A \cup B|}$, $A$ atom environments of compound A, $B$ atom environments of compound B.
+
+
+### Local (Q)SAR models
+
+As soon as neighbors for a query compound have been identified, we can use their experimental LOAEL values to predict the activity of the untested compound. In this case we are using the weighted mean of the neighbors LOAEL values, where the contribution of each neighbor is weighted by its similarity to the query compound.
+
+### Validation
+
+# Results
+
+### Dataset comparison
+
+ The main objective of this section is to compare the content of both databases in terms of structural composition and LOAEL values, to estimate the experimental variability of LOAEL values and to establish a baseline for evaluating prediction performance.
+
+#### Structural composition
+
+##### Ches-Mapper analysis
+
+ CheS-Mapper (Chemical Space Mapping and Visualization in 3D, http://ches-mapper.org/, [@Gütlein2012]) can be used to analyze the relationship between the structure of chemical compounds, their physico-chemical properties, and biological or toxic effects. CheS-Mapper embeds a dataset into 3D space, such that compounds with similar feature values are close to each other.
+ The following two screenshots visualise the comparison. The datasets are embeded into 3D Space based on structural fragments from three Smart list (OpenBabel FP3, OpenBabel FP4 and OpenBabel MACCS).
+
+##### Distribution of functional groups
+
+ Figure 1 shows the frequency of selected functional groups in both datasets. A complete table for 138 functional groups from OpenBabel FP4 fingerprints can be found in the appendix.
+
+![Frequency of functional groups.](functional-groups.pdf)
+
+#### LOAEL values
+
+ Duplicated LOAEL values can be found in both datasets and there is a substantial overlap of compounds, with LOAEL values in both datasets.
+
+##### Intra dataset variability
+
+ The Mazzatorta dataset has 562 LOAEL values with 439 unique structures, the Swiss Federal Office dataset has 493 rat LOAEL values with 381 unique structures. Figure 2 shows the intra-dataset variability, where each vertical line represents a single compound and each dot represents an individual LOAEL value. The experimental variance of LOAEL values is similar in both datasets (p-value: 0.48).
+
+[//]: # p-value: 0.4750771581019402
+
+![Intra dataset variability: Each vertical line represents a compound, dots are individual LOAEL values.](loael-dataset-comparison-all-compounds.pdf)
+
+##### Inter dataset variability
+
+ Figure 3 shows the same situation for the combination of the Mazzatorta and Swiss Federal Office datasets. Obviously the experimental variability is larger than for individual datasets.
+
+![Inter dataset variability](loael-dataset-comparison-common-compounds.pdf)
+
+##### LOAEL correlation between datasets
+
+ Figure 4 depicts the correlation between LOAEL data from both datasets (using means for multiple measurements). Correlation analysis shows a significant correlation with r^2: 0.61, RMSE: 1.22, MAE: 0.80
+
+
+
+[//]: # MAE: 0.801626064534318
+[//]: # with identical values
+
+![LOAEL correlation](loael-dataset-correlation.pdf)
+
+
+### Read across predictions
+
+# Discussion
+
+### Chemical similarity
+
+### LOAEL variability
+
+### Predictive performance
+
+###
+
+# Summary
+
+ $var1$
+
+# References