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+author: |
+ Christoph Helma^1^, David Vorgrimmler^1^, Denis Gebele^1^, Martin Gütlein^2^, Benoit Schilter^3^, Elena Lo Piparo^3^
+title: |
+ Modeling Chronic Toxicity: A comparison of experimental variability with read across predictions
+include-before: ^1^ in silico toxicology gmbh, Basel, Switzerland\newline^2^ Inst. f. Computer Science, Johannes Gutenberg Universität Mainz, Germany\newline^3^ 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
+============
+
+Christoph + Elena + Benoit
+
+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
+
+Materials and Methods
+=====================
+
+Datasets
+--------
+
+### Mazzatorta dataset
+
+Just referred to the paper 2008.
+
+### Swiss Federal Office dataset
+
+Elena + Swiss Federal Office contribution (input)
+
+Only rat LOAEL values were used for the current investigation, because
+they correspond directly to the Mazzatorta dataset.
+
+### Preprocessing
+
+Christoph
+
+Chemical structures in both datasets are represented as SMILES strings
+(Weininger 1988). 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
+----------
+
+Christoph
+
+For this study we are using the modular lazar (*la*zy *s*tructure
+*a*ctivity *r*elationships) framework (Maunz et al. 2013) 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
+
+Christoph
+
+Similarity calculations are based on MolPrint2D fingerprints (Bender et
+al. 2004) from the OpenBabel chemoinformatics library (OBoyle et al.
+2011).
+
+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 (1)).
+
+(1) $sim = \frac{|A \cap B|}{|A \cup B|}$, $A$ atom environments of
+ compound A, $B$ atom environments of compound B.
+
+### Local (Q)SAR models
+
+Christoph
+
+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
+
+Christoph
+
+Results
+=======
+
+### Dataset comparison
+
+Christoph + Elena
+
+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.
+
+#### Applicability domain
+
+##### Ches-Mapper analysis
+
+Martin
+
+CheS-Mapper (Chemical Space Mapping and Visualization in 3D,
+http://ches-mapper.org/, (Gutlein, Karwath, and Kramer 2012)) 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
+
+Christoph
+
+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)
+
+### Experimental variability versus prediction uncertainty
+
+Christoph
+
+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)
+
+
+### Local (Q)SAR models
+
+Christoph
+
+Discussion
+==========
+
+### Elena + Benoit
+
+###
+
+Summary
+=======
+
+References
+==========
+
+Bender, Andreas, Hamse Y. Mussa, and Robert C. Glen, and Stephan
+Reiling. 2004. “Molecular Similarity Searching Using Atom Environments,
+Information-Based Feature Selection, and a Naïve Bayesian Classifier.”
+*Journal of Chemical Information and Computer Sciences* 44 (1): 170–78.
+doi:[10.1021/ci034207y](https://doi.org/10.1021/ci034207y).
+
+Gütlein, Martin, Andreas Karwath, and Stefan Kramer. 2012. “CheS-Mapper
+- Chemical Space Mapping and Visualization in 3D.” *Journal of
+Cheminformatics* 4 (1): 7.
+doi:[10.1186/1758-2946-4-7](https://doi.org/10.1186/1758-2946-4-7).
+
+Maunz, Andreas, Martin Gütlein, Micha Rautenberg, David Vorgrimmler,
+Denis Gebele, and Christoph Helma. 2013. “Lazar: A Modular Predictive
+Toxicology Framework.” *Frontiers in Pharmacology* 4. Frontiers Media
+SA.
+doi:[10.3389/fphar.2013.00038](https://doi.org/10.3389/fphar.2013.00038).
+
+OBoyle, Noel M, Michael Banck, Craig A James, Chris Morley, Tim
+Vandermeersch, and Geoffrey R Hutchison. 2011. “Open Babel: An Open
+Chemical Toolbox.” *Journal of Cheminformatics* 3 (1). Springer Science;
+Business Media: 33.
+doi:[10.1186/1758-2946-3-33](https://doi.org/10.1186/1758-2946-3-33).
+
+Weininger, David. 1988. “SMILES, a Chemical Language and Information
+System. 1. Introduction to Methodology and Encoding Rules.” *Journal of
+Chemical Information and Computer Sciences* 28 (1): 31–36.
+doi:[10.1021/ci00057a005](https://doi.org/10.1021/ci00057a005).