Some concepts in science are counter-intuitive, like the Monty Hall problem or the Mpemba effect. Occasionally, this is also true for terminology, despite the best efforts of scientists to ensure that their work can be explained unambiguously to newcomers. Specifically, in our field of protein structure prediction, the word “decoy” has been used to mean one of many conformations generated by a de novo modelling protocol such as Rosetta, or alternative conformations of loops produced by an ab initio program e.g. Sphinx. Though slightly baffled by this usage when I started working in the field, I have now become so familiar with its strange new meaning that I have to remind myself to explain it in talks to a more general audience, or simply aim to avoid the term altogether. Nonetheless, following a heated discussion over the term in a recent group meeting, I thought it would be interesting to trace the roots of the new meaning.

Let’s begin with a definition from Google:

decoy

So we start with the idea of something distracting, resembling the true thing but with the intent to deceive. So how has this sense of the word evolved into what we use now? I attempted to dig out the earliest mention of decoy for a computationally generated protein conformation with a Google scholar search for “decoy protein”, which led to the work of Thomas and Dill published in 1996. Here the authors describe a method of distinguishing the native fold of a protein from the sequence threaded, without gaps, onto alternative structures from the PDB. This problem of discrimination between native and non-native had been carried out previously, but Thomas and Dill chose to describe the alternatives as “decoy conformations” or just “decoys”.

A similar problem was commonly attempted over the following years, of separating native structures from sets of computationally generated conformations. Due to the demands of conformer generation at this time, some sets were published themselves in online databases to be used as a resource for training scoring functions.

When it comes to the problem of de novo protein structure prediction, unfortunately it isn’t as simple as picking out the correct answer from a population of incorrect answers. Even among hundreds of thousands of conformations generated by the best methods, the exact native crystal structure will not be found (though a complication here that the protein is dynamic and will occupy an ensemble of native conformations). Therefore, the aim of any scoring function in structure prediction is instead to select which incorrect conformation is closest to the native structure, hoping to obtain at least the correct fold.

It is for this reason that we move towards the idea of choosing a model from a pool of decoys. Zhu et al. (2003) use “decoy” in precisely this way:

“One strategy for ab initio protein structure prediction is to generate a large number of possible structures (decoys) and select the most fitting ones based on a scoring or free energy function”

This seems to be where the idea of a decoy as incorrect and distracting is lost, and takes on its new meaning as one of a large and diverse set of protein-like conformations, which has continued until now.

So is it ever helpful to refer to “decoys” as opposed to “models”? What is communicated by “decoy” that is not achieved by using the word “model”? I think this may come down to the impression which is given by talking about a pool of decoys. People would not generally assume that each decoy on its own has any effective use for prediction of function. There is a sense that this is not the final result of the structure prediction pipeline, there is work yet to be done in refining, clustering, and making human judgments on the suitability of the output. Only after these stages would I feel more comfortable using the word “model”, to express the greater confidence we have in the structure (small though that may be in the de novo structure prediction world). However, the inadequacy of “model” does not alone justify this tenuous usage of “decoy”. Perhaps we could speak more often about populations of “conformations”. In any case, “decoy” is widespread in the community, and easily understood by those who are most likely to be reading, reviewing and editing the literature so I think we will be stuck with it for a while yet.

Here we highlight two antibody papers, one from the past one more recent. The more recent one talks about developing an affinity maturation model. The older one is a refresher on the Developability Index — how to computationally harness hydrophobicity and accessible surface areas to predict aggregation.

Mouse antibody maturation model — the most expanded (common) clones might not be the ones with highest affinities here (van Kampen lab). The authors of the paper define a model of affinity maturation. The main take-home message of the paper is that the ‘most expanded’ clones might not be the ones with highest affinity — expanded clones are assumed to be the ones ‘responding’ to the antigenic challenge. The model is based on Ordinary Differential Equations, tracing cell fate in a germinal center. The model was compared to experimental expansion data from lymph nodes for accuracy. In each such model one needs to assume a lot of parameters, such as which day post-immunization do we start somatic hypermuatation? The paper is a very nice example of a model of maturation and a good starting point for tracing references citing germinal center biology and numbers for parameters used for models (also the general canon of construction of such models!).

Developability index here. (Trout lab at MIT). The authors touch on a very important subject of antibody developability: after you produced your ab binder, does it have physicochemical characteristics which are suitable to carry on with it as a therapeutic. Such characteristics include stability, expression yields and aggregation propensity. Aggregation propensity is one of the most important factors here as it affects the pharmacokinetics of the drug as well as shelf life. In this manuscript, authors address attempt to predict the aggregation propensity of antibodies. As background data, they use twelve antibodies whose long term stability has been measured over several years. To develop a computational method to predict antibody aggregation propensity, they use a score which combines hydrophobicity and electrostatic factors. The hydrophobicity is an adapted SAP score which the authors developed previously, and whose main parameters are the exposed residue area and hydrophobicity of the residue as defined by Black and Mould. The electrostatics are calculated using PROPKA. Since combining the scores into a predictive model involved parametrization, they use seven of the antibodies to adjust the coefficients. They use the rest to demonstrate that their model has predictive power. Calculation of their models requires a structure of an antibody which they obtain using WAM. Take home messages? It is a nice dataset to play with aggregation prediction and it demonstrates how to calculate electrostatics and hydrophobicity of a molecule.

For this week’s journal club, I presented a recent paper from Ovchinnikov, and the David Baker group – Protein structure determination using metagenome sequencing data. This discussed how incorporating metagenome sequence data into multiple sequence alignments, can assist with and improve residue-residue contact prediction. The paper concludes with the prediction of over 600 structures from protein families that currently have no solved structures.

The Pfam database contains 14,849 protein families with 50 or more residues. However, only 4752 of these families have at least one member with an experimentally determined structure. 3984 of the remaining 10,097 families have reliable comparative models built on the basis of homologs of known structure. Less confident comparative models can be built for a further 902 families, however this leaves 5211 families with no structural information.

The recent technological advances in genome sequencing have provided an increasingly large number of amino acid sequences to work with. Large numbers of sequences allows the identification of compensatory mutations that have occurred in residues that are in contact with each other. This is called evolutionary co-variance and can allow the relatively accurate prediction of residues that are in contact in a structure. Rosetta utilises these co-evolutionary couplings, along with partial structural matches (found by combining the predicted contacts with contact patterns of known structures, using the map_align algorithm ) to predict structures from a number of families with fold-level accuracy ( TM-score > 0.5 ). However, it was unknown if this method could be used to accurately predict protein structures on a large-scale.

One challenge in using co-evolutionary couplings to predict residue-residue contacts is that a large number of sequences (hundreds to thousands) are needed. The accuracy of the predicted contacts is also dependent on the diversity of the sequences in a family, and the length of the protein. N_f is a measure that incorporates all of these factors :

Figure 1A shows the dependence of Rosetta structure prediction accuracy on the N_f. In general, where N_f≥64, accuracy typical of comparative modelling (TM-score > 0.7) can be achieved. For N_f≥32, fold-level accuracy (TM-score > 0.5) can be achieved, below this, accuracy falls off. Of the 5211 families with no structural information, only ~400 of these had N_f≥64; therefore accurate structural modelling could not be achieved for the remaining ~4800 of these families using the sequencing data available on UniRef100.

Fig 1. (a) Accuracy of predicted structures produced with and without refinement by Rosetta for families with different Nf values. (b) Number of protein families with Nf≥64 between 2009 and 2015 using UniRef100 database, and UniRef100 and Metagenome data. (c) Percentage of protein families with Nf scores 4, 8, 16, 32, and 64 including sequences from UniRef100 and metagenome data.

The addition of metagenome sequence data (from shotgun sequencing microbial DNA from environmental samples) increased the proportion of families with N_f≥64 from 0.08, to 0.25. The proportion of families with N_f≥32 also increased from 0.16, to 0.33. The difference in the fraction of protein families with N_f≥64 before and after the addition of metagenome sequence data can be seen in Figure 1B, and Figure 1C shows the percentage of families with N_f scores above 4, 8, 16, 32 and 64.

After running a set of benchmark calculations, this larger set of sequence data were used to generate models for 921 protein families, which now had N_f≥64 and also had number of long range contacts greater than half the number of residues in the protein. Of these 921 protein families, models with predicted TM scores > 0.65 were generated for 614 families. Although these were only predicted TM scores, crystal structures for members of 5 of the 614 families have since been published and had a TM-score > 0.7 when compared with the corresponding model.

Limitations with this using this data include the lack of eukaryotic genetic information currently, as well as the lack of explicit modeling of ligands, co-factors and lipids using the Rosetta workflow. However, the fast rate of increase in metagenome sequencing data (as compared to the rate of increase of sequencing data in UniRef100) means that while these new models fill roughly 12% of the unknown structural information for protein families, the potential for future structural prediction is bright.

So you’ve written the thesis, you’ve been examined, the corrections are done, and now you are left with just wearing the silly clown robes to get a piece of paper with your name on it. However, you’ve been informed that you aren’t allowed to don the silly robes until you print the damn thing (again) and submit it to the Bod to be ignored for generations to come. Oh, and the added bonus is that you have to pay for it. Naturally, you want the high-quality printing and paper to match for the final versions, but it’s all so expensive. At least you can save a few meagre pounds by specifying only the pages for colour printing. Naturally, I decided that I would spend far more time making a script than just counting them myself (which I did anyway to verify it works). Enjoy.


#!/usr/bin/env Rscript

library(data.table)

args <- commandArgs(trailingOnly=TRUE)
x <- system(paste("gs -q -o - -sDEVICE=inkcov",args[1]," | awk '{print $1,$2,$3}'"),intern=TRUE)
x <- as.data.table(tstrsplit(x,' '))
x[,c("V1","V2","V3"):=.(as.numeric(V1),as.numeric(V2),as.numeric(V3))]
print(paste("Colour pages total:",sum(rowSums(x)!=0)))
print(paste("Colour pages:", paste(which(rowSums(x) != 0),collapse=', ')))


One of the things I like to do is to scale up things using the ridiculous amount of cores at my disposal (sometimes even for a good reason). One of these examples is when I had to model millions of CDRs (or loops) using FREAD.

The process through which you model a loop in Fread is:

1. Pre-filtering step: Anchor Ca separation and ESST score in between your target and all the templates in the DB. The ones that pass a threshold are saved for step 2
2. Anchor RMSD test

The major bottleneck for such an analysis is step 1, where most of the templates are filtered out so for step 2 you get a very reduced subset. The data for doing the Anchor Ca separation and ESST score is all stored for each possible template in one row of an sqlite database. So when you do step 1 you will go through each row of this table and calculate the score, with the database is stored on the hard drive so costly I/O. This is fine for the original purpose of Fread, where you filled in a missing loop for one structure, but when you are doing it for 100 million examples, going through a table stored on a hard drive 100 million times, sequentially, it is going to be SLOW. I say sequentially because for the python implementation using sqlite3 I had a lot of trouble trying to use a db handle on multiple threads, or load the same sql file on different instances on threads, it just crashes for no good reason. There has been chat about this on stackoverflow and I think this has moved on since I implemented it in 2015. Nevertheless, I wanted a simple and clean solution.

I decided to transform the sqlite3 database into a Pandas object. Pandas objects are basically a convenient way of storing tables with methods available that mimick conventional querying mechanisms for databases. These are stored in memory, easily dumped as pickle files, and can be easily duplicated between threads so no issues with thread safety. Obviously you need to have enough memory to store all of that, but for my application that was not a problem. Below is some sample code on how I used it to transform the template DB from FREAD.

import pandas as pd
import sqlite3 as sql

rows = []

# connect to your fread sql file
conn = sql.connect("fread_sql_file.sql")
try:
    query = "SELECT dihedral, sequence, pdbcode, start, anchor, bound FROM loops"
    results = conn.execute(query)
    for row in results:
        # store the rows as a list of dictionaries
        rows.append(dict(zip(['dihedral', 'length', 'pdbcode', 'anchor', 'sequence', 'start', 'bound'], [row[0], len(row[1]), row[2], row[4] ,row[1], row[3], row[5]])))
        
except Exception as e:
    print "Error during query", str(e)
    conn.close()

# create a pandas dataframe from the list of dictionaries 
df = pd.DataFrame(rows)
# store the table as a pickle file which you can reload later (this is very fast!)
df.to_pickle("fread_pandas_file.pickle")

After running this you will have your sql database as a pandas dataframe, and you can write methods which are thread safe to model loops as below:

import pandas as pd

THRESHOLD = 25
cdr_db pd.read_pickle("fread_pandas_file.sqlite")


def model_loop(query_sequence, query_anchors_ca):
    # score_sequence_db_helper is your function that attaches a scores based on your query sequence and the row in the template db
    scores = cdr_db.apply(lambda row: score_sequence_db_helper(row, query_sequence, query_anchors_ca), axis=1)

    # attach the score
    results = zip(list(cdr_db['pdbcode']), scores, list(cdr_db['sequence']))

    # keep the ones that are over the threshold
    results = filter(lambda (pdb_code, score, sequence): score>=THRESHOLD, results)
    
    return results

This time round, one older paper, one recent paper. The older one talks about estimating how many H3s can there be in a human body based on sequencing of two individuals (they cap it at 9 million — not that much!). The more recent one is an attempt to define what makes a good antibody in terms of its developability properties (a battery of biophys assays on 150 therapeutic antibodies- amazing dataset to work with).

High resolution description of antibody heavy chain repertoires in (two) humans (Koralov lab at NYU). Here. Two individuals were sequenced and their VDJ frequencies measured. It is widely believed that the VDJ recombination events are largely independent and random. Here however they demonstrate some biases/interplay between the D and J regions. Since H3 falls on the VDJ junction, it might suggest that it affects the total choice of H3. Another quite important point is that they compared the productive vs nonproductive sequences (out of frame or with stop codons). If there were significant differences between the VDJ frequencies of productive vs nonproductive sequences, it would suggest selection at the VDJ frequency stage. However they do not see any significant differences here suggesting that VDJ combinations have little bearing on this initial selection step. Finally, they estimate the number of H3 in repertoire. The technique is interesting — they sample 1000 H3s from their set and see how many unique sequences it contributes. Each next sample contributes less and less unique sequences which leads to a log-decay curve. By doing so they get a rough estimate of when there will be no more new sequences added and hence an estimate of diversity (think why do this rather than counting the number of uniques!). They allow themselves to extrapolate this estimate to the whole organism by multiplying their blood sample by the total human body volume — they motivate this extrapolation by the fact that there were precious little overlaps between the two human subjects.

Biophysical landscape of clinical stage antibodies [here]. Paper from Adimab. Designing an antibody which binding its target is only a first step on the way to bring the drug on the market. The molecule needs to fulfill a variety of characteristics such as colloidal stability (does not aggregate or ‘clump up’), does not instantly clear from the organism (which is usually down to off target binding), is stable and can be expressed in reasonable quantities. In an effort to delineate what makes a good antibody, the authors take inspiration from earlier work on small molecules, namely the Lipinski Rules of Five. This set of rules describes what makes a ‘good’ small molecule drug, which was assessed by looking at ~2000 therapeutic drugs. The rules came down to certain numbers of hydrogen bond donors, acceptors, molecular weight & lipophilicity. Therefore, Jain et al would like a similar methodology, but for antibodies: give me an antibody and using methodology/rules we define, we will tell you either to carry on with development or maybe not. Since antibodies are far more complex and the data on therapeutic abs orders of magnitude smaller (around 50 therapeutic abs to date) Jain et al, had to devise a more nuanced approach than simply counting hb donors/acceptors mass etc. The underlying ‘good’ molecule data though is similar: they picked therapeutic antibodies and those in late clinical testing stages (2,3). This resulted in ~150 antibodies. So as to devise the benchmark ‘rules/methodology’, they went for a battery of assays to serve as a benchmark — if your ab raises too many red flags according to these assays, it’s not great (what constitutes a red flag to be defined). These assays were supposed to not be obscure and relatively easy to use as the point was that an arbitrary antibody can be relatively easy checked against them. The assays are a range of expression, cross reactivity, self reactivity, thermal stability etc. To define red flags, they run their therapeutic/clinical antibodies through the tests. To their surprise quite a lot of these molecules turn out to have quite ‘undesirable characteristics’. Following the Lipinski Rules, they define a red flag as being in the bottom 10th percentile of the assay values as evaluated on the therapeutic abs. They show that the antibodies which are approved or in more advanced clinical trials stages have less red flags. Therefore, the take-home messages from this paper: very nice dataset for any computational work, raising red flags does not disqualify you from being a therapeutic.

Hints how broadly neutralizing antibodies arise (paper here). (Haynes lab here) Antibodies can be developed to bind virtually any antigen. There is a stark difference however between the ‘binding’ antibodies and ‘neutralizing’ antibodies. Binding antibodies are those that make contact with the antigen and perhaps flag it for elimination. This is in contrast to neutralizing antibodies, whose binding eliminates the biological activity of the antigen. A special class of such neutralizing antibodies are ‘broad neutralizing antibodies’. These are molecules which are capable of neutralizing multiple strains of the antigen. Such broadly neutralizing antibodies are very important in the fight against highly malleable diseases such as Influenza or HIV.

The process how such antibodies arise is still poorly understood. In the manuscript of Williams et al., they make a link between the memory and plasma B cells of broadly neutralizing antibodies and find their common ancestor. The common ancestor turned out to be auto-reactive, which might suggest that some degree of tolerance is necessary to allow for broadly neutralizing abs (‘hit a lot of targets fatally’). From a more engineering perspective, they create chimeras of the plasma and memory b cells and demonstrate that they are much more powerful in neutralizing HIV.

Ineresting data: their crystal structures are different broadly neutralizing abs co-crystallized with the same antigen (altought small…). Good set for ab-specific docking or epitope prediction — beyond the other case like that in the PDB (lysozyme)! At the time of writing the structures were still on hold in the PDB so watch this space…

Below are two somewhat recent papers that are quite relevant to those doing ab-engineering. The first one takes a look at antibodies as a collection — software which better estimates a diversity of an antibody repertoire. The second one looks at each residue in more detail — it maps the mutational landscape of an entire antibody, showing a possible modulating switch for VL-CL interface.

Estimating the diversity of an antibody repertoire. (Arnaout Lab) paper here. High Throughput Sequencing (or next generation sequencing…) of antibody repertoires allows us to get snapshots of the overall antibody population. Since the antibody population ‘diversity’ is key to their ability to find a binder to virtually any antigen, it is desirable to quantify how ‘diverse’ the sample is as a way to see how broad you need to cast the net. Firstly however, we need to know what we mean by ‘diversity’. One way of looking at it is akin to considering ‘species diversity’, studied extensively in ecology. For example, you estimate the ‘richness’ of species in a sample of 100 rabbits, 10 wolves and 20 sheep. Diversity measures such as Simpson’s index or entropy were used to calculate how biased the diversity is towards one species. Here the sample is quite biased towards rabbits, however if instead we had 10 rabbits, 10 wolves and 10 sheep, the ‘diversity’ would be quite uniform. Back to antibodies: it is desirable to know if a given species of an antibody is more represented than others or if one is very underrepresented. This might indicate healthy vs unhealthy immune system, indicate antibodies carrying out an immune response (when there is more of a type of antibody which is directing the immune response). Problem: in an arbitrary sample of antibody sequences/reads tell me how diverse they are. We should be able to do this by estimating the number of cell clones that gave rise to the antibodies (referred to as clonality). People have been doing this by grouping sequences by CDR3 similarity. For example, sequences with CDR3 identical or more than >95% identity, are treated as the same cell — which is tantamount to being the same ‘species’. However since the number of diverse B cells in a human organism is huge, HTS only provides a sample of these. Therefore some rarer clones might be underrepresented or missing altogether. To address this issue, Arnaout and Kaplinsky developed a methodology called Recon which estimates the antibody sample diversity. It is based on the expectation-maximization algorithm: given a list of species and their numbers, iterate adding parameters until they have a good agreement between the fitted distributions and the given data. They have validated this methodology firstly on the simulated data and then on the DeKosky dataset. The code is available from here subject to their license agreement.

Thorough analysis of the mutational landscape of the entire antibody. [here]. (Germaine Fuh from Affinta/Genentech/Roche). The authors aimed to see how malleable the variable antibody domains are to mutations by introducing all possible modifications at each site in an example antibody. As the subject molecule they have used high-affinity, very stable anti-VEGF antibody G6.31. They argue that this antibody is a good representative of human antibodies (commonly used genes Vh3, Vk1) and that its optimized CDRs might indicate well any beneficial distal mutations. They confirm that the positions most resistant to mutation are the core ones responsible for maintaining the structure of the molecule. Most notably here, they have identified that Kabat L83 position correlates with VL-CL packing. This position is most frequently a phenylalanine and less frequently valine or alanine. This residue is usually spatially close to isoleucine at position LC-106. They have defined two conformations of L83F — in and out:

1. Out: -50<X1-100 interface.
2. In: 50<X1<180

Being in either of these positions correlates with the orientation of LC-106 in the elbow region. This in turn affects how big the VL-CL interface is (large elbow angle=small  tight interface; small elbow angle=large interface). The L83 position often undergoes somatic hypermutation, as does the LC-106 with the most common mutation being valine.

At the meeting on November 15 I have covered a paper by Gantz et al. describing a method for creating transgenic mosquitoes expressing antibodies hindering the development of malaria parasites.

The immune system is commonly divided into two categories: innate and adaptive. The innate immune system consists of non-specific defence mechanisms such as epithelial barriers, macrophages etc. The innate system is present in virtually every living organism. The adaptive immune system is responsible for invader-specific defence response. Is consists of B and T lymphocytes and encompasses antibody production. As only vertebrates posses the adaptive immune system, mosquitoes do not naturally produce antibodies which hinders their ability to defend themselves against pathogens such as malaria.

In the study by Gantz et al. the authors inserted transgenes expressing three single-chain Fvs (m4B7, m2A10 and m1C3) into the previously-characterised chromosomal docking sites.

Figure 1: The RT-PCR experiments showing the scFv expression in different mosquito strains

RT-PCR was used to detect scFv transcripts in RNA isolated from the transgenic mosquitoes (see Figure 1). The experiments showed that the attP 44-C recipient line allowed expression of the transgenes coding for the scFvs.

The authors evaluated the impact of the modifications on the fitness of the mosquitoes. It was shown that the transgene expression does not reduce the lifespan of the mosquitoes, or their ability to procreate.

Expression of the scFvs targeted the parasite at both the early and late development stages. The transgenic mosquitoes displayed a significant reduction in the number of malaria sporozoites per infected female, in most cases completely inhibiting the sporozoite development.

Overall the study showed that it is possible to develop transgenic mosquitoes that are resistant to malaria. If this method was combined with a mechanism for a gene spread, the malaria-resistant mosquitoes could be released into the environment, helping to fight the spread of this disease.