Lecture 5 - DNA Assembly
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Questions and Answers

What is the primary purpose of genome assembly?

  • To perform gene expression analysis
  • To fragment the genome into smaller pieces
  • To reconstruct the genome from sequenced fragments (correct)
  • To sequence chromosomes from end to end

Genome assembly is typically achieved by sequencing a single copy of a genome.

False (B)

What does the Lander-Waterman equation help estimate?

The depth of coverage required for genome sequencing.

The formula for the Lander-Waterman equation is C = LN/G, where C stands for the genome ______.

<p>coverage</p> Signup and view all the answers

Match the following terms with their descriptions:

<p>Genome Assembly = Reconstructing the complete genome sequence from fragments Coverage = The number of times a nucleotide is sequenced Polymorphism = Variations in DNA among individuals Minimizer = A strategy to improve assembly by reducing complexity</p> Signup and view all the answers

Which of the following is a reason why genome assemblies might be fragmented?

<p>Insufficient sequencing depth (A)</p> Signup and view all the answers

DNA minimizers are used to increase the complexity of genome assembly.

<p>False (B)</p> Signup and view all the answers

What impact does increased sequencing have on genome assembly?

<p>Increased likelihood of sequencing the whole genome.</p> Signup and view all the answers

What is a major issue when assembling genomes related to repeats?

<p>Ambiguity in paths through the graph (C)</p> Signup and view all the answers

Larger k-mer sizes always lead to a better genome assembly.

<p>False (B)</p> Signup and view all the answers

What does DBG stand for?

<p>De Bruijn Graph</p> Signup and view all the answers

As the value of k increases, fewer k-mers will __________ between reads due to sequencing errors.

<p>overlap</p> Signup and view all the answers

Which of the following is a disadvantage of high k-mer values?

<p>Increased likelihood of data fragmentation (D)</p> Signup and view all the answers

Repetitive sequences cannot cause misrepresentation in genome structure.

<p>False (B)</p> Signup and view all the answers

What is one major source of issues during genome assembly according to the provided content?

<p>The representation and resolution of repeats</p> Signup and view all the answers

The complexity of the genome can lead to __________ during the assembly process.

<p>fragmentation</p> Signup and view all the answers

What type of graph traversal does a Hamiltonian path involve?

<p>Visits each node exactly once (D)</p> Signup and view all the answers

What does C represent in the Poisson probability distribution for sequencing?

<p>The genome coverage (D)</p> Signup and view all the answers

In a Poisson distribution, the probability of sequencing a base only once at 10X coverage is 0.00045.

<p>True (A)</p> Signup and view all the answers

What type of graph is used to resolve sequence assembly by reducing redundant edges?

<p>String Graph</p> Signup and view all the answers

The nodes in a De Bruijn graph represent sequences of a fixed size, known as a ______.

<p>k-mer</p> Signup and view all the answers

Which of the following statements about k-mer size in De Bruijn graphs is correct?

<p>A small k-mer size leads to over-connectivity. (B)</p> Signup and view all the answers

The traversal of a De Bruijn graph requires alignment of reads to generate sequences.

<p>False (B)</p> Signup and view all the answers

What happens to nodes with an in-degree and out-degree of one in a string graph?

<p>They are compressed into compound edges.</p> Signup and view all the answers

The probability of sequencing a base at a $10X$ coverage can be calculated using the formula $P(Y=y) = (C^y * e^{-C})/y!$ where y represents the ______.

<p>number of times the base was sequenced</p> Signup and view all the answers

What is a common result of using an excessively small k-mer size in sequencing?

<p>Increased assembly errors (C)</p> Signup and view all the answers

What does phased assembly primarily achieve in genomic studies?

<p>It separates maternally and paternally inherited chromosomes into haplotypes. (A)</p> Signup and view all the answers

Increasing the coverage of a genome will always reduce the error rate of the assembly to zero.

<p>False (B)</p> Signup and view all the answers

What are the two main approaches to phasing genomes?

<p>Assembly-based phasing and Alignment-based phasing.</p> Signup and view all the answers

In the theorem proposed by Gene Myers, perfect assembly is possible if the errors are ______, sampling is ______, and reads are long enough to solve ______.

<p>random, Poisson, repeats</p> Signup and view all the answers

Match the sequencing conditions with their descriptions:

<p>Errors random = Allows for arbitrarily accurate consensus Sampling is Poisson = Ensures complete coverage with enough sequencing Reads long enough = Helps resolve repeats in the genome Trios sequencing = Helps with phasing in animal species</p> Signup and view all the answers

Which step is NOT included in the four core steps of modern genome assembly?

<p>Data analysis (C)</p> Signup and view all the answers

Using genetic mapping populations is common for phasing in animal species.

<p>False (B)</p> Signup and view all the answers

What is the primary challenge in achieving perfect DNA assembly with current technology?

<p>The presence of non-random errors in sequencing.</p> Signup and view all the answers

Which of the following methods uses SMS reads for mapping but employs high quality reads for accurate base calling?

<p>Hybrid assembly (D)</p> Signup and view all the answers

Minimizers are larger sets of kmers selected from a read to represent the read effectively.

<p>False (B)</p> Signup and view all the answers

_______ construction is one of the four core steps involved in modern assemblies of genomes.

<p>Contig</p> Signup and view all the answers

Why is using trios sequencing data beneficial for phasing?

<p>It aids in determining haplotype phase by examining both parents and the offspring. (D)</p> Signup and view all the answers

What is the purpose of using minimizers in DNA assembly?

<p>To identify overlaps between sequences more efficiently.</p> Signup and view all the answers

The process of selecting a minimizer involves choosing the smallest kmer from a set of adjacent kmers called _______.

<p>seeds</p> Signup and view all the answers

Flashcards

Genome Assembly

The process of piecing together fragmented DNA sequencing reads to create a complete picture of a genome.

Genome Fragmentation

DNA is broken into smaller pieces before sequencing.

Sequencing Coverage (C)

The amount of DNA sequenced relative to the total DNA in the genome.

Lander-Waterman Equation

Calculates the required sequencing coverage to achieve a desired level of genome assembly confidence.

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DNA Minimizers

Short, unique DNA sequences used as landmarks to assist in the assembly process.

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Sequencing Read

A short segment of DNA sequence.

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Genome Chromosome

A complete series of DNA in the genome.

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Genome Coverage equation

C = LN/G

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Sequencing Coverage

The average number of times a particular base in a genome is sequenced.

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Poisson Distribution

Used to model the probability of sequencing a specific base a certain number of times given the coverage.

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String Graph

A graph representation of sequenced fragments used in genome assembly.

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Transitive Reduction

Simplifies a string graph by removing redundant edges, leading to a more efficient assembly.

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Eulerian Path Problem

A problem in graph theory related to traversing every edge of a graph exactly once.

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De Bruijn Graph

A graph used to assemble sequencing reads by matching short overlapping fragments (k-mers).

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K-mer

A short fixed-length sequence of DNA or RNA.

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Over-connectivity (De Bruijn Graph)

Occurs in De Bruijn graphs when k-mer size is too small, leading to false overlaps.

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Unitig

A unique stretch of DNA sequence in a string graph identified by a node with one in-degree and one out-degree.

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Genome Coverage (Sequencing)

Average number of times a specific DNA base is sequenced in a genome.

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What is a minimizer?

A minimizer is a short sequence (kmer) selected from a read to represent it. It's a way to quickly find overlaps between reads and reduce memory usage.

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Why are minimizers helpful for assembly?

Minimizers help to efficiently determine if two reads overlap by comparing just a small set of 'minimizer' kmers. This is a lot faster and uses less memory than comparing all kmers in the reads.

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How are minimizers used in DNA assembly?

Minimizers are used to identify potential overlaps between reads. By comparing the sets of minimizers, reads with shared minimizers are likely to overlap and can be assembled more accurately.

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What is a de Bruin Graph (DBG)?

A de Bruin Graph is a data structure used in genome assembly. It represents all possible kmers in a genome and their connections, forming a graph. This helps in finding overlaps and building contigs.

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What is MinimizerDBG?

MinimizerDBG is a recent development that combines DNA minimizers with a de Bruin Graph. This approach speeds up the assembly process by utilizing minimizers for fast overlap detection and DBG for efficient contig building.

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De Bruijn Graph Assembly

A method of genome assembly that represents DNA sequences as nodes in a graph, connecting nodes based on overlapping k-mers.

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Genome Assembly Fragmentation

The breaking of a genome into smaller, disconnected segments during assembly, often due to repeats or sequencing errors.

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Repeat Collapse

Repetitive regions in DNA sequences often lead to a misrepresentation of genome structure as the repeats merge together on the graph.

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Ambiguous Paths

Multiple possible pathways through a De Bruijn graph, making it hard to determine the correct genome sequence.

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High k-mer Value

Using longer k-mer sequences in De Bruijn assembly, which leads to decreased overlaps due to errors and mutations.

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Insufficient Coverage

Low coverage in specific regions of the sequenced DNA can lead to fragmented assemblies.

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Error Rate (Sequencing)

Percentage of incorrect base calls during DNA sequencing, which may lead to fragmented genome assembly.

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Eulerian Path

A path that visits every edge in a graph exactly once, though it may revisit a node more than once.

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Hamiltonian path

A path that visits every node in the graph exactly once.

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Phased Assembly

A genome assembly where maternally and paternally inherited chromosomes are separated into haplotypes. This means the assembly distinguishes between the two copies of each chromosome.

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Assembly-based phasing

A method of phasing where separate de novo assemblies are generated for each set of chromosomes.

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Alignment-based phasing

A method of phasing that uses a reference genome to identify heterozygous positions and determine which are physically associated on a chromosome.

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Perfect DNA Assembly

A theoretical concept describing the ability to fully reconstruct a genome from DNA sequencing data without any errors or gaps.

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Random Errors

Errors that occur randomly in DNA sequencing data, like typos in a text.

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Reproducible Errors

Errors that occur consistently in DNA sequencing data, like a specific type of typing error.

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Poisson Sampling

A method of sampling DNA sequences where the probability of selecting a particular region is independent of the other regions.

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Repeat Resolution

The ability to accurately identify and position repeated DNA sequences in a genome assembly.

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Read Length

The length of a DNA sequence read, which is a continuous piece of sequenced DNA.

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Repeat Resolution with Sufficient Read Length

If read length is longer than any repeat in the genome, with high enough quality, it's possible to resolve the number and position of repeats in a genome assembly.

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Study Notes

Lecture 5 - DNA Assembly

  • The lecture covers DNA assembly, a bioinformatics process
  • The goal is constructing a complete genome from fragmented sequencing reads
  • The process involves several steps, starting with DNA sequencing, quality control, assembly, genome annotation, and analysis
  • Various algorithms are used for DNA sequencing read assembly
  • Coverage is an important factor influencing assembly accuracy
  • Assemblies are often fragmented due to limitations in sequencing technology
  • Repeats in the genome pose challenges for correct assembly
  • Sequencing errors contribute to assembly fragmentation
  • Diploid/polyploid organisms further complicate assembly

Lander-Waterman Equation

  • An equation estimating the sequencing depth needed for genome assembly reaching a specific confidence level
  • The equation (C = LN/G) considers genome coverage (C), read length (L), the number of reads generated (N), and genome size (G)
  • Sequencing coverage is a measure of how many times a particular base is sequenced
  • The calculation uses Poisson probability distribution

Lander-Waterman Limitations

  • Assumes uniform coverage across the genome, but in reality, coverage varies
  • Does not account for repeats, which are common in genomes. Repeats make it difficult to uniquely assemble genome regions
  • Ignores sequencing errors that are introduced by the sequencing technology
  • Assumes a haploid genome, despite most organisms having multiple copies
  • Errors are not always random, the technology introduces biases

Genome Assembly Process

  • The process involves assembling overlapping DNA sequences into contigs
  • Contigs are then linked into scaffolds based on sequence similarities
  • Scaffolds are positioned in pseudo-chromosomes based on physical location

Real-Life Complications

  • Sequencing technologies introduce errors, these are context dependent
  • Genomes evolve through duplication and deletion as well as mutation, making some regions difficult to uniquely identify
  • It is not feasible to sequence every base in a large genome; not all parts are represented with the same frequency

Duplication Solutions

  • Greater read length & read pairs provide improved results

Simple Repeats Solution

  • Read length is the only practical solution at this stage
  • Read pair distance is only a rough estimate, not an accurate solution

Genome Assembly Approaches

  • Greedy assembly
  • String graph assembly
  • De Bruijn graph assembly

Greedy Algorithm

  • A 'greedy' algorithm, Overlap-Layout-Consensus (OLC) is used to create assemblies
  • OLC algorithms calculate nucleotide identity (overlap) between all pairs of reads
  • A graph is constructed where each node represents a read and weighted edges between them represent their overlap quality

OLC continued

  • Most OLC algorithms visit each node once
  • Optimal path identification involves ordering and aligning overlapping regions of reads to construct a consensus sequence
  • The complexity increases significantly with longer reads and more errors

Overlap Layout Consensus

  • Example of how fragments share sequence in an assembly (layout graph of fragments)

String Graph

  • Improvement over OLC algorithms (which is greedy)
  • String graph algorithms examine and incorporate repetitive regions
  • Algorithms use transitive reduction to compress repetitive regions

De Bruijn Graph Assembly

  • Nodes represent kmers (short DNA sequences)
  • Edges connect kmers that are adjacent in the original sequence
  • Traversing the graph allows reconstructing the original sequence

De Bruijn Graphs and K-mer Size Impact

  • Too small k-mer size leads to over-connectivity and collapsing of repeats
  • Too large k-mer size leads to fewer overlaps and inaccurate assemblies

DBG Advantages

  • Reduces computation time by not requiring explicit sequence-to-sequence overlap calculations
  • The final sequence is generated by traversing the graph

Why are Assemblies Fragments?

  • Sequencing technology limitations/weaknesses result in fragmented assemblies
  • Complexity of the genome, particularly repeats, complicates assembly

Hamiltonian vs Eulerian

  • Hamiltonian: Passes through each node once, but not necessarily all edges. More difficult to determine
  • Eulerian: Passes through each edge once, but can visit a node multiple times. Algorithms exist to efficiently determine viability

Phased Assembly

  • Separates maternally and paternally inherited chromosomes into haplotypes
  • Helps with complex genome analysis of diploid or polyploid organisms
  • Two main approaches exist: assembly-based phasing & alignment-based phasing

Genome Assembly

  • Modern assemblies have four core steps (data pre-processing, contig construction, scaffolding, and gap closure)
  • Specialized software handles these steps

The Perfect DNA Assembly?

  • The current technology cannot achieve a perfect DNA assembly. Multiple conditions must be met (random errors, sampling is poisson, reads long enough to handle repetitions)

a) Errors Random

  • As sequencing coverage increases, assembling errors become less impactful
  • Non-random (reproducible) errors limit assembly quality despite increased coverage

b) Sampling is Poisson

  • If sequencing coverage is sufficient, every region of the genome can be adequately covered.
  • This relies on a Poisson sampling distribution

c) Reads Long Enough to Solve Repeats

  • Sufficient read length helps resolve repeats and improves assembly
  • Repeat resolution is crucial for accurate genome assembly

Can PacBio Achieve Perfection?

  • PacBio technology has potential but challenges remain, particularly handling diploid/polyploid organisms, lengthy/noisy reads, and error rates
  • Improvements in assembling error-prone reads are needed

Assembly with Long Reads

  • Technologies focus on long read sequencing and assembly
  • Three approaches include direct, hybrid, and hierarchical assemblies

Challenges of SMS de novo

  • High error rates affect k-mer-based assemblies
  • First whole-genome assemblies took significant computation time
  • Newer software has improved assembly speed

DNA Minimizers

  • Subsequences selected (kmers) to represent the read
  • A smaller subset of kmers to reduce computational resources
  • Minimizers are useful for identifying overlaps between sequences

DNA Minimizers 2

  • Methods like BWT-FM kmer search to locate minimizers
  • Minimizers for error-prone sequences

Minimizer DBG

  • Minimizer DBG is a computational approach for assembling DNA sequences based on minimizers
  • Utilizes error-corrected reads and minimizes the computational resources
  • Can be used for assembly, error correction, and pan-genome assembly

Evaluating a DNA Assembly

  • Metrics such as N50, NG50, L50 provide a measure of assembly quality
  • Additional metrics include coverage and the number of contigs
  • Tools for analysis include QUAST & BUSCO

Tools for Evaluating DNA Assembly

  • QUAST: Quality assessment of assemblies. Provides metrics such as N50, L50, mis-assemblies, and completeness
  • BUSCO: Benchmarking universal single-copy orthologs. Evaluates the quality of genome assemblies through assessing coverage by checking for the presence of highly conserved single-copy ortholog genes

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Description

This lecture focuses on DNA assembly, a crucial bioinformatics process for constructing complete genomes from fragmented sequencing reads. It explores various algorithms and factors affecting assembly accuracy, such as sequencing errors and genomic repeats. The Lander-Waterman equation is also discussed to estimate sequencing depth for assembly confidence.

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