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ODS2: A Multiplatform Software Application for Creating Integrated Physical and Genetic Maps
David Halla,b, Suchendra M. Bhandarkara, and Jian Wangba Department of Computer Science, The University of Georgia, Athens, Georgia 30602-7404
b Department of Genetics, The University of Georgia, Athens, Georgia 30602-7404
Corresponding author: Suchendra M. Bhandarkar, Department of Computer Science, The University of Georgia, 415 Boyd Graduate Studies Research Ctr., Athens, GA 30602-7404., suchi{at}cs.uga.edu (E-mail)
Communicating editor: J. ARNOLD
| ABSTRACT |
|---|
A contig map is a physical map that shows the native order of a library of overlapping genomic clones. One common method for creating such maps involves using hybridization to detect clone overlaps. False- positive and false-negative hybridization errors, the presence of chimeric clones, and gaps in library coverage lead to ambiguity and error in the clone order. Genomes with good genetic maps, such as Neurospora crassa, provide a means for reducing ambiguities and errors when constructing contig maps if clones can be anchored with genetic markers to the genetic map. A software application called ODS2 for creating contig maps based on clone-clone hybridization data is presented. This application is also designed to exploit partial ordering information provided by anchorage of clones to a genetic map. This information, along with clone-clone hybridization data, is used by a clone ordering algorithm and is represented graphically, allowing users to interactively align physical and genetic maps. ODS2 has a graphical user interface and is implemented entirely in Java, so it runs on multiple platforms. Other features include the flexibility of storing data in a local file or relational database and the ability to create full or minimum tiling contig maps.
A contig map is a physical map that shows the native order of a library of overlapping genomic clones. Such maps help in the positional cloning of genes, serve as a framework for whole genome sequencing (![]()
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There are a number of types of errors associated with these protocols that make recovery of the native clone order difficult. False-positive and false-negative PCR and hybridization results are common. For example, false- positive and false-negative error rates for the Aspergillus nidulans mapping project (![]()
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Many algorithmic approaches have been developed to recover the native order of clones with noisy data. Algorithms for restriction enzyme fingerprinting data are given in ![]()
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A number of freely available software applications for creating contig maps have been developed over the past decade. Applications for restriction digestion data include CONTIG9 (![]()
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An effort is currently under way to create high-resolution cosmid-based contig maps of the fungus Neurospora crassa (http://gene.genetics.uga.edu; ![]()
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Although a hybridization-based approach is relatively inexpensive due to the economy of scale that can be realized, the reliability of maps created using only hybridization data is considered to be less than that for maps constructed using STS content data (![]()
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Of the existing software, ODS (![]()
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| MATERIALS AND METHODS |
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Cosmid libraries used to construct the physical maps in Fig 5 and Fig 6 are described in ![]()
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| ALGORITHM |
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Description of clone ordering algorithm:
The clone ordering algorithm used by ODS2 is a modification of that used in ODS (![]()
The algorithm used by ODS2 incorporates the following modifications and enhancements over the one used by ODS. First, the Hamming distances between probes are computed and the probes are ordered instead of clones. Let C = c1, c2, ... , c|C| denote the set of clones. Let P = p1, p2, ... , p|P| denote the set of probes. Let P
= p
2, p
2, ... , p
|P| denote an ordering (or permutation) of the probes. Let D denote a binary matrix of size |C| x |P|, where Di,j is 1 if clone ci is believed to contain probe pj based on experimental data, or 0 otherwise. Let D
denote a matrix derived from D by permuting the columns to correspond to the probe ordering P
. The Hamming-distance traveling salesman objective function is given by
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(1) |
where
is the Boolean exclusive or operation. This modification was made to decrease the runtime of the algorithm, as the set of probes is a subset of the set of clones. After ordering the probes, the clones are placed within the probe order as follows. For a given clone, the longest contiguous sequence of probes that hybridize with the clone is found, if such a sequence exists. The clone is placed in the map such that it spans across these probes. This approach of ordering probes and then fitting clones to the probe order is also described in ![]()
The second modification to the algorithm is the use of the microcanonical annealing search algorithm (![]()
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The third modification is a weighted penalty value
that is added to the sum of Hamming distances F(P
). This penalty is related to the number of misplaced anchored clones. When a given permutation of probes is being evaluated by the algorithm, the subset of clones that are anchored to the genetic map are placed within the probe ordering as described above. Let A
= <a
1, a
2, ... , a
|A|> denote a permutation of anchored clones. Let pos(a
i) return the position in the genetic map of the marker to which a
i is anchored. One of the penalty functions
1 used by ODS2 is given by
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(2) |
The variable
is a scaling factor that can be adjusted by the user. When
is set to a higher value, more emphasis is placed on genetic complementation data. Note that this penalty is a minimum for a given
when the order of markers implied by A
is the same as the order of markers in the genetic map.
The second penalty function
2 used by ODS2 does not require the set of markers to be completely ordered. For i < j, let

(3)
Then
2 is computed as
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(4) |
The penalty function
2 penalizes each pair of markers in A
whose order relative to each other is incorrect. Since
2 exploits only the pairwise ordinal information between markers it can handle partially ordered marker information. As before,
is a scaling factor that can be adjusted by the user. Note that
2 has a minimum value when the order of markers implied by A
is the same as the order of markers in the genetic map.
The third objective function
3 is described in ![]()
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(5) |
where lis(A
) is the length of the longest increasing subsequence in A
. As before,
is a scaling factor that can be set by the user.
Evaluation of the algorithm on simulated data:
The probe ordering algorithm in ODS2 was tested with the three penalty functions
1,
2, and
3 described above on simulated data modeled after data from the A. nidulans physical mapping project (![]()
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During preliminary simulations it became apparent that improvements in the probe orderings were most strongly correlated with the distribution of the anchored markers. Two probes are connected if they are believed to be incident to the same clone. A contig of probes is a set of probes where each probe in that contig is connected to at least one other probe in the contig, and no probes are connected to a probe in any other contig. It was shown that the greatest improvements in map quality came when there were a sufficient number of anchored markers distributed uniformly among the probe contigs.
Two different measures of similarity between permutations were used to evaluate the probe orderings generated from simulated data. These are the adjacency quality (AQ) and the distance quality (DQ; ![]()
) by itself, and F(P
) augmented with each of the three penalty functions
1,
2, and
3. Each point in the graphs represents the mean of 50 separate runs on different data sets. These graphs show that as the average number of anchored probes per contig increases, the quality of the resulting map improves when the penalty functions are used. Mean values with 95% error bounds (i.e., confidence intervals) for some of the points in these graphs are shown in Table 1.
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As mentioned previously, penalty function
2 can be used when the set of anchored markers is not totally ordered. To increase the total number of anchored probes, it may be desirable to pool together markers that have been anchored to different maps. In Fig 3, we simulated the pooling together of different sets of anchored markers. The cardinality of each separate set of anchored markers is equal to 0.7 times the number of probe contigs. Fig 3 shows the impact of combining one, two, and three separate sets of anchored markers on the adjacency quality and the distance quality of the resulting probe ordering. Each bar shows the mean of 50 separate runs on different simulated data sets. These plots show that combining anchored probe data from multiple independent sources using penalty function
2 can improve the accuracy of the computed order of probes.
Evaluation of the algorithm on real data:
The probe ordering algorithm in ODS2 was also evaluated in terms of run time and map quality using real data from A. nidulans chromosomes I, VII, and VIII (![]()
) was determined for the computed ordering of probes to see if the incorporation of the penalty functions led to an increase in its value. This gave an indication of the consistency of the probe orderings with the clone-probe incidence data.
Fig 4 shows that when the penalty functions were incorporated, the resulting probe orderings were more consistent with the genetic maps. Since microcanonical annealing is a stochastic optimization algorithm, the data in Fig 4 represent the average of five different runs. Table 2 shows the observed increase in the Hamming-distance traveling salesman objective function value F(P
) when the penalty functions were incorporated. Each value in Table 2 represents the average of five different runs. In most cases, incorporating anchored marker data using the penalty functions leads to a slight increase (<1%) in the final value of F(P
). In the case of chromosome I, using penalty function
2 caused the value of F(P
) to decrease. In the cases of chromosomes VII and VIII the incorporation of penalty function
3 resulted in more substantial increases in the value of F(P
) (Table 2).
|
Benchmarks of the program ODS2 were run on a Sun Enterprise 250 computer with a 300 MHz UltraSparcII CPU and 512 MB main memory running the Solaris 7 operating system on data from chromosome VIII of A. nidulans using penalty function
1. Results using a number of different values for
are reported in Table 3. As microcanonical annealing is a stochastic algorithm, benchmarks were run 25 times for each
value. Average values over the 25 runs are reported in Table 3.
|
In general, run times for these data are reasonably short. It can be seen that, in general, as more weight is placed on the penalty function, both the number of contig breaks and the percentage of marker adjacencies recovered increase. When
was equal to 0.01, there were, on average, 16.4 contigs and 55% of marker adjacencies were recovered. When
was equal to 100.0, there were, on average, 20.1 contigs and 100% of marker adjacencies were recovered. This indicates that the algorithm is creating contig breaks to align the physical map with the genetic map. The program ODS2 also supports the manual alignment of physical and genetic maps. This is described in the following section.
| IMPLEMENTATION |
|---|
ODS2 is a fully graphical application implemented in Java. It features a graphical user interface and will run on any platform that supports Java 2. It has been tested on Sun hardware running the Solaris 7 operating system and on PC hardware running Microsoft Windows NT. In addition to providing tools for creating maps, ODS2 also provides features for data management. The software can store data in a file or in a database on the same host or a remote host. Data can be added incrementally to either of these repositories using the application at any time during the life of a project. Data are entered into the repositories via five types of text files. The first three files contain data that are required, and the last two contain optional data. The first type of required data indicates to which chromosome(s) or linkage group(s) each clone in a set of clones belongs. Note that a clone may belong to more than one chromosome or linkage group. This situation may arise if clones are mapped to chromosomes by hybridization. Common repetitive sequences may cause a clone to hybridize to more than one chromosome. The second type of required data involves probe names for a chromosome or linkage group. The third type of required data indicates which probes have hybridized to each clone in a set of clones. The first optional data type is an encoding of a genetic map. The second optional data type lists genetic markers and indicates which clones contain them. The precise format of each of these file types is specified in the documentation that comes with the software.
The program ODS2 can be used with either a relational database or a special file for managing all the data for a given project. A typical session with the software may begin by opening an existing project. To do this, the user would load all data from the project file or database into memory. All software functions can be carried out by selecting from menus or activating other graphical components. The user may then import new data from one or more of the text files described above. ODS2 has a menu option for configuring a database. The user specifies a database account name, password, host name, and port. The application will create the necessary tables if they do not already exist. ODS2 has been tested with Oracle 8 (http://www.oracle.com) and MySQL (http://www.mysql.com) database management systems on Sun hardware running the Solaris 7 operating system. The application should theoretically work with any relational database management system that is SQL92 compliant and for which there is a Java JDBC driver available.
After opening a project, the user may then select one or more chromosomes and build a map for them. The user can elect whether or not to use any of the penalty functions described previously and can adjust the weight (
) placed on this function. When the selected map(s) are generated, each is displayed graphically in a new window. This window contains a menu that lets users edit the associated map. This editing tool is shown in Fig 5, which displays a map of N. crassa linkage group VI. On the far left side of the screen, a colored bar indicates the depth of coverage at the corresponding position on the map. The darker the color, the greater the coverage at that position. Contig breaks (i.e., regions of 0 coverage) are indicated by red bands (these do not show up in the grayscale image of this figure). To the right of the coverage indicator are the clone contigs. The clones are color coded as follows. Black clones were used as probes. Blue clones can be unambiguously placed within the probe ordering. Gold clones cannot be placed unambiguously within the probe ordering (again, these colors are not evident in the grayscale image). The scale of the displayed maps can be adjusted as needed.
The genetic map is displayed to the right of the contigs. Clones anchored to genetic markers are indicated by gray lines that terminate at one end on the clones and at the other end on the associated markers. If the contig map is in agreement with the genetic map, then none of these lines should cross each other. After the software orders the clones, several types of corrections to the map may be necessary. It may be necessary to reposition the contigs. Also, false contigs that are detected when clones within the same contig are anchored to different regions of the genetic map may need to be broken. An example of this situation can be seen in Fig 5, where a contig must be broken so that the uppermost subcontig containing the marker pan-2 (bottom of genetic map) can be moved next to the other contig containing this marker.
Several types of map editing operations are supported. First, blocks of clones can be selected and reversed. A block of clones can also be moved to a different location on the map. This is accomplished by selecting a set of clones by dragging the mouse over them, cutting these clones out of the map, and pasting them to a different location. In this way entire contigs can be moved or possibly false contigs broken up and separated. The depth indicator to the left of the clones is useful for moving and reversing clone blocks. For moving an entire contig, the user selects clones between two red bands on the indicator. For breaking a potential false contig, the user would want to make the break in a region where there is little coverage; i.e., the user would move clones between two light-colored bands or a light-colored band and a red band. Light-colored bands correspond to regions of the map where there are relatively few observed hybridizations to link subcontigs. Random false-positive hybridization could cause contigs to be falsely joined, and the junction between contigs would likely have a corresponding light-colored band due to a lack of additional true hybridizations.
Several other types of edits are also supported. Clones may be selected and deleted from the map. This option would perhaps be used to delete ambiguously placed clones individually. There is a menu option for deleting all ambiguously placed nonanchored clones at one time as well. The software will also generate a minimum tiling map. It does this by removing all clones from the map except for a minimal set needed to cover the chromosome. Clones are preferentially kept in the map if they are a probe, or they can be unambiguously placed in the map, or they are anchored to the genetic map. Ambiguously placed clones can be automatically moved to alternative locations using a menu option.
After a map is built, it may be saved in a file on disk or saved to a database. Previously built maps can be loaded from either of these sources at a later time. Maps can also be exported into a text format. Such a map is shown in Fig 6. This map is a preliminary minimum tiling of N. crassa linkage group VI (the data collection is
75% complete as of date). The map in Fig 6 was generated using a weight of
= 10 for the genetic mapping data. The map underwent additional manual editing to bring it into alignment with the genetic map. A preliminary full version of the map is available for viewing on the web at http://gene.genetics.uga.edu/ncrassa6.html.
| DISCUSSION |
|---|
Although a number of good software applications have been developed over the years to support the construction of contig maps, none of these is ideally suited to support the mapping protocol being taken in the N. crassa project. ODS (![]()
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Although ODS2 was created for the N. crassa mapping project, it would be a good candidate for use in other mapping projects as well. ODS2 was designed, in particular, for genomes with good genetic maps. However, the application has other features that could make it a viable tool even for genomes without genetic maps. First, as it is Java based, it runs on virtually all modern platforms. Second, it gives the users the flexibility of storing data in local files or a central database. Third, it has a completely graphical user interface. Many of the menu operations, such as "cut" and "paste," are common to other modern applications. Fourth, the clone ordering approach based on Hamming distances has been proven in other mapping projects (![]()
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In conclusion, the integration of multiple data and information sources is critical in genomics projects to enhance the accuracy and reliability of the final product or conclusion. It is clear that more research and more software tools are needed in this area. Our future work will focus on the integration of the maximum-likelihood-based physical mapping objective function (![]()
| ACKNOWLEDGMENTS |
|---|
This research was supported in part by an NRICGP grant from the U.S. Department of Agriculture and in part by a Microbial Genetics Grant MCB-9630910 from the National Science Foundation.
Manuscript received September 1, 2000; Accepted for publication December 8, 2000.
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