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Biological networks: Types and origin

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1 Biological networks: Types and origin
Protein-protein interactions, complexes, and network properties

2 Networks in electronics
Radio kindly provided by Lazebnik, Cancer Cell, 2002

3 Interactions Model Generation Parts List Interactions Dynamics
Sequencing Gene knock-out Microarrays etc. Model Generation YER001W YBR088C YOL007C YPL127C YNR009W YDR224C YDL003W YBL003C YDR097C YBR089W YBR054W YMR215W YBR071W YBL002W YNL283C YGR152C Parts List Genetic interactions Protein-Protein interactions Protein-DNA interactions Subcellular Localization Interactions Microarrays Proteomics Metabolomics Dynamics Radio kindly provided by Lazebnik, Cancer Cell, 2002

4 Types of networks

5 Interaction networks in molecular biology
Protein-protein interactions Protein-DNA interactions Genetic interactions Metabolic reactions Co-expression interactions Text mining interactions Association networks

6 Interaction networks in molecular biology
Protein-protein interactions Protein-DNA interactions Genetic interactions Metabolic reactions Co-expression interactions Text mining interactions Association networks

7 Characterization of physical interactions
Obligation obligate (protomers only found/function together) non-obligate (protomers can exist/function alone) Time of interaction permanent (complexes, often obligate) strong transient (require trigger, e.g. G proteins) weak transient (dynamic equilibrium)

8 Examples: GPCR ol obligate, permanent non-obligate, strong transient

9 Approaches by interaction type
Physical Interactions Yeast two hybrid screens Affinity purification (mass spec) Protein-DNA by chIP-chip Other measures of ‘association’ Genetic interactions (double deletion mutants) Functional associations (STRING) Co-expression

10 Yeast two-hybrid method
Y2H assays interactions in vivo. Uses property that transcription factors generally have separable transcriptional activation (AD) and DNA binding (DBD) domains. A functional transcription factor can be created if a separately expressed AD can be made to interact with a DBD. A protein ‘bait’ B is fused to a DBD and screened against a library of protein “preys”, each fused to a AD.

11 Yeast two-hybrid method
Fields and Song

12 Issues with Y2H Strengths Weaknesses: False positive interactions
High sensitivity (transient & permanent PPIs) Takes place in vivo Independent of endogenous expression Weaknesses: False positive interactions Auto-activation ‘sticky’ prey Detects “possible interactions” that may not take place under real physiological conditions May identify indirect interactions (A-C-B) Weaknesses: False negatives interactions Similar studies often reveal very different sets of interacting proteins (i.e. False negatives) May miss PPIs that require other factors to be present (e.g. ligands, proteins, PTMs)

13 Protein interactions by immuno-precipitation followed by mass spectrometry
Start with affinity purification of a single epitope-tagged protein This enriched sample typically has a low enough complexity to be fractionated on a standard polyacrylamide gel Individual bands can be excised from the gel and identified with mass spectrometry.

14 Affinity Purification

15 Affinity Purification
Strengths High specificity Well suited for detecting permanent or strong transient interactions (complexes) Detects real, physiologically relevant PPIs Weaknesses Less suited for detecting weaker transient interactions (low sensitivity) May miss complexes not present under the given experimental conditions (low sensitivity) May identify indirect interactions (A-C-B)

16 Protein-protein interaction data growth
Error rate may be as high as %

17 Topology based scoring of interactions
Yeast two-hybrid A B C High confidence (1 unshared interaction partners) Low confidence (4 unshared interaction partners) Low confidence (rarely purified together) High confidence (often purified together) Complex pull-downs de Lichtenberg et al., Science, 2005

18 Filtering by subcellular localization
de Lichtenberg et al., Science, 2005

19 Reducing the error rate in PPI data
Benchmark by measuring the overlap between the curated MIPS complexes and different PPI data sets derived from high-throughput screens. Overlap with curated MIPS complexes Estimated error rate de Lichtenberg et al., Science, 2005

20 Filtering reduces coverage and increases specificity

21 Network Properties Graphs, paths, topology

22 Graphs Graph G=(V,E) is a set of vertices V and edges E
A subgraph G’ of G is induced by some V’  V and E’  E Graph properties: Connectivity (node degree, paths) Cyclic vs. acyclic Directed vs. undirected

23 Sparse vs Dense G(V, E) where |V|=n, |E|=m the number of vertices and edges Graph is sparse if m~n Graph is dense if m~n2 Complete graph when m=n2

24 Connected Components G(V,E) |V| = 69 |E| = 71

25 Connected Components G(V,E) |V| = 69 |E| = 71 6 connected components

26 Paths A path is a sequence {x1, x2,…, xn} such that (x1,x2), (x2,x3), …, (xn-1,xn) are edges of the graph. A closed path xn=x1 on a graph is called a graph cycle or circuit.

27 Shortest-Path between nodes

28 Shortest-Path between nodes

29 Longest Shortest-Path

30 Degree or connectivity

31 Random vs scale-free networks
P(k) is probability of each degree k, i.e fraction of nodes having that degree. For random networks, P(k) is normally distributed. For real networks the distribution is often a power-law: P(k) ~ k-g Such networks are said to be scale-free

32 Lewin Bo, et al., Sex i Sverige; Om sexuallivet i Sverige 1996,
“The Swedish sex web” Target the ‘hubs’ to have an efficient safe sex education campaign Lewin Bo, et al., Sex i Sverige; Om sexuallivet i Sverige 1996, Folkhälsoinstitutet, 1998

33 Knock-out lethality and connectivity

34 Clustering coefficient
The density of the network surrounding node I, characterized as the number of triangles through I. Related to network modularity k: neighbors of I nI: edges between node I’s neighbors The center node has 8 (grey) neighbors There are 4 edges between the neighbors C = 2*4 /(8*(8-1)) = 8/56 = 1/7

35 Protein complexes have a high clustering coefficient
Proteins subunits are highly interconnected and thus have a high clustering coefficient There exists algorithms, such as MCODE, for identifying subnetworks (complexes) in large protein-protein interaction networks

36 Hierarchical Networks

37 Detecting hierarchical organization

38 Scale-free networks are robust
Complex systems (cell, internet, social networks), are resilient to component failure Network topology plays an important role in this robustness Even if ~80% of nodes fail, the remaining ~20% still maintain network connectivity Attack vulnerability if hubs are selectively targeted In yeast, only ~20% of proteins are lethal when deleted, and are 5 times more likely to have degree k>15 than k<5.

39 Other interesting features
Cellular networks are assortative, hubs tend not to interact directly with other hubs. Hubs tend to be “older” proteins (so far claimed for protein-protein interaction networks only) Hubs also seem to have more evolutionary pressure—their protein sequences are more conserved than average between species (shown in yeast vs. worm)


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