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C O M P U TAT I O N A L A N A LY S I S I N A N E X T E N D E D
STOICHIOMETRIC MODEL OF ESCHERICHIA COLI


1
ESCHERICHIA COLI

E. COLI
 Rod-shaped bacterium
 Commonly found in the lower intestine of

warm-blooded organisms
 Can be grown easily and inexpensively in a

laboratory setting
 Investigated for over 60 years
 5 metabolic reconstruction available


2
C U R R E N T M O S T D E TA I L E D M O D E L O F E . C O L I

IJO1366
 Published in 2011 from the systems biology

research group in California under the
supervision of Bernhard Palsson
 Contains 2251 reactions, 1136 unique

metabolites, and 1366 genes.
 An update of iAF1260, to include

biosynthetic pathways


3
A N U P D A T E O F I J O 1 3 6 6 W I T H V O L A T I L E M E TA B O L I T E S

AN APPROACH TO ENHANCE A
M O D E L W I T H D ATA B A S E K N O W L E D G E
 3788 additional reactions
 Fetched from KEGG
 Addition of 194 volatile metabolites
 124 were identifiable in KEGG
 Hit rate of 61% (118/194)
 54% with standard reactions of KEGG


4
5
FURTHER FOCUS OF THIS
P R E S E N TAT I O N
Explanation of the stoichiometric nature of iJO1366
Computational Analysis with FBA
Querying of data to enhance iJO1366
Introduction of common pathway databases
Integration of data into iJO1366


6
PA T H W A Y S T O D E S C R I B E C H E M I C A L P R O C E S S E S

STOICHIOMETRY
 Branch of chemistry that deals with

the relative quantities of reactants
and products in chemical reactions.
 m x n matrix S with m

metabolites and n reactions

 Starting from knowledge we have,

we do:

 Spot all reactions
 Detect which metabolite is

consumed and wich is produced

Loss of informativeness!!!

7
FURTHER FOCUS OF THIS
P R E S E N TAT I O N
Explanation of the stoichiometric nature of iJO1366
Computational Analysis with FBA
Querying of data to enhance iJO1366
Introduction of common pathway databases
Integration of data into iJO1366


8
F L U X B A L A N C E A N A LY S I S

FBA
 A mathematical approach for analyzing the flow of

metabolites through a metabolic network


9
FURTHER FOCUS OF THIS
P R E S E N TAT I O N
Explanation of the stoichiometric nature of iJO1366
Computational Analysis with FBA
Querying of data to enhance iJO1366
Introduction of common pathway databases
Integration of data into iJO1366


10
T Y P I C A L D ATA M I N I N G I N F L U E N C E D
WORKFLOW


11
D E V E L O P M E N T O F A N A P P L I C A T I O N T O E N H A N C E M O D E L S A U T O M A T I C A L LY

H O W T O C O N S U LT A D ATA B A S E
 Typhoeus a RUBY GEM
 Runs HTTP requests in parallel while cleanly

encapsulating handling logic
 Grab as many as possible
 Dynamic storage mechanism

Hash Maps
Instant accessing time

12
REST

R E P R E S E N TAT I O N A L S TAT E T R A N S F E R
 Architectural principle of web-based applications defined by Roy

Fielding in 2000

 Influenced from HTTP
 The standard INTERNET protocol

!

SERVICE

DESCRIPTION

AS URL

GET

R E Q U E S T A PA G E

/GENES/ALL

POST

S E N D M U LT I P L E D ATA
TO SERVER

/GENES/NEW

PUT

UPLOAD A RESOURCE
TO SERVER

/ G E N E S / THRA

DELETE

REMOVE RESOURCE

/ G E N E S / THRA / D E L E T E


13
FURTHER FOCUS OF THIS
P R E S E N TAT I O N
Explanation of the stoichiometric nature of iJO1366
Computational Analysis with FBA
Querying of data to enhance iJO1366
Introduction of common pathway databases
Integration of data into iJO1366


14
VISUALIZATION OF THE INNER STOICHIOMETRIC LIFE OF A CELL

PAT H W AY D ATA B A S E S
 Visualizable as an acyclic, directed graph
 No cycles and every edge is directed
 A Pathway shows the transformation of a metabolic

species to a an end product
 Enzyme catalyze a reaction
 Reaction transforms educts to products


15
O N O F T H E B I G G E S T PA T H W A Y D A TA B A S E S

KEGG
 Kyoto Encyclopedia of Genes and Genomes (KEGG)
 Database resource for understanding high-level

functions and utilities of the biological system
 Initiated in May 1995 it consists of 3 databases
 PATHWAY
 GENES
 LIGAND

16
AN EXAMPLE OF AN REACTION ENTRY

KEGG


17
A PA R A G O N O F A R E S T F U L A P I

KEGG API
 Application programming interface (API)
 Specifies how software components should

interact with each other.


18
O N O F T H E B I G G E S T PA T H W A Y D A TA B A S E S

KEGG ENTRY


19
F O C U S O F T H I S P R E S E N TAT I O N
Explanation of the stoichiometric nature of iJO1366
Computational Analysis with FBA
Querying of data to enhance iJO1366
Introduction of common pathway databases
Integration of data into iJO1366


20
SEVERAL STEPS ARE NECESSARY TO AUTOMATIZE AN ENHANCEMENT PROCESS

W O R K F L O W O F A N A P P L I C AT I O N T O
ENHANCE MODELS

 Querying of additional data
 Storage of additional data
 Structured as objects for easier access
 Creation of a search tree with nodes as states
 Evaluate the worth of a possible enhancement


21
A C O M M O N PA R A D I G M I N T H E P R O G R A M M I N G C O M M U N I T Y

O B J E C T- O R I E N T E D D ATA
MANAGEMENT
 Every concept is

a object
 With all its

attributes
Easier to iterate
through, to get
objects with
certain attributes

22
INFLUENCED FROM HEURISTIC BASED A.I. TECHNIQUES

S TAT E - B A S E D T H I N K I N G
 Every enhancement

induces a new situation
 Additional metabolites
 Additional reactions

 Start with an metabolites

as first state

 Expand it and his

successors until a goal
state is reached

23
EFFICIENT AND POWERFUL

I T E R AT I V E D E E P E N I N G
 State space search strategy
 Depth-limited search is run

repeatedly
 Increasing the depth limit with each

iteration
 Stops at pre-defined depth d
 Depending on the task, the max depth

has to be chosen

24
EFFICIENT AND POWERFUL

I T E R AT I V E D E E P E N I N G
 State space search strategy
 Depth-limited search is run

repeatedly
 Increasing the depth limit with each

iteration
 Stops at pre-defined depth d


25
EFFICIENT AND POWERFUL

I T E R AT I V E D E E P E N I N G
 State space search strategy
 Depth-limited search is run

repeatedly
 Increasing the depth limit with each

iteration
 Stops at pre-defined depth d


26
EFFICIENT AND POWERFUL

I T E R AT I V E D E E P E N I N G
 State space search strategy
 Depth-limited search is run

repeatedly
 Increasing the depth limit with each

iteration
 Stops at pre-defined depth d


27
EFFICIENT AND POWERFUL

I T E R AT I V E D E E P E N I N G
 State space search strategy
 Depth-limited search is run

repeatedly
 Increasing the depth limit with each

iteration
 Stops at pre-defined depth d


28
EFFICIENT AND POWERFUL

I T E R AT I V E D E E P E N I N G
 State space search strategy
 Depth-limited search is run

repeatedly
 Increasing the depth limit with each

iteration
 Stops at pre-defined depth d


29
EFFICIENT AND POWERFUL

I T E R AT I V E D E E P E N I N G
 State space search strategy
 Depth-limited search is run

repeatedly
 Increasing the depth limit with each

iteration
 Stops at pre-defined depth d


30
EFFICIENT AND POWERFUL

I T E R AT I V E D E E P E N I N G
 State space search strategy
 Depth-limited search is run

repeatedly
 Increasing the depth limit with each

iteration
 Stops at pre-defined depth d


31
O N E O F T H E H A R D E S T P R O B L E M S I N S TA T E B A S E D A P P R O A C H E S

S TAT E E X P L O S I O N

 Number of states grow rapidly
 Exponential

d

# S TAT E S

# S TAT E S
(REACTIONS REVERSIBLE)

Reactions focused on E. Coli

2

241

4

3651

54241

6

205360

1,2 X 10^7

8

32

65

12 X 10^6

2,8 X 10^9
S E V E R A L A P P R O A C H E S T O H A N D L E A B I G S TA T E S PA C E

M A N A G I N G T H E S E A R C H S PA C E

 Pruning of the search space
 Remove unworthy nodes
 Pre-ordering of the search state
 Expand worthy states first
 Depending on the implemented heuristic


33
A S TA T I S T I C A B O U T T H E A V E R A G E N U M B E R O F N E W E D I C T S A F T E R A N S TA T E E X PA N S I O N

M A N A G I N G T H E S E A R C H S PA C E
AV E R A G E N U M B E R O F N E W E D U C T S
Depth 2

1

Depth 3

Depth 4

0,75
0,5
0,25
0

C00207

C00014

C00180

C16521

34

C00409

C02223

C00146

C01879
IS IT WORTH TO GO DEEPER?

M A N A G I N G T H E S E A R C H S PA C E
R AT I O N B E T W E E N S O L U T I O N S A N D S TAT E S
Depth 2

1

Depth 3

Depth 4

0,75
0,5
0,25
0

C00207

C00014

C00180

C16521

35

C00409

C02223

C00146

C01879
F A C I N G I N C O N S I S T E N C Y W E H A V E T O I N T E G R A T E T H E D A TA

I N T E G R AT I N G N E W D ATA
 Fetched data has to be normalized
 Use regular expressions to grab necessary data
 Transform data to current standard
 Be aware of inconsistency
 Missing information has to be estimate
 Is it worth to estimate?
 Use data you already have

36
P O I N T S W H I C H S T I L L H A V E T O B E S O LV E D

P R O B L E M S T O S O LV E
 Application is specialized to iJO1366
 Find normalization methods
 Queries depend on restful web services
 Develop wrapper methods
 Application is constrained on E. Coli reactions only
 Find solutions to handle state explosions
 Evaluate states concerning biological aspects

37
SUGGESTIONS FOR THE FURTHER WORK

OUTLOOK
 More and more web services become restful
 Easier to develop web crawler to fetch new data
 A standardization of data should be developed
 KEGG is a proper example of standardization and easy

APIs

 Future network reconstructions are already very complex

Collaboration of programmers with biologists to
develop applications for an easier work with metabolic
models

38
THANX IAMB! :-)

ACKNOWLEDGMENT


39
REFERENCES
 Pictures adapted from
 Jan Schellenberger, Richard Que, Ronan M T Fleming, Ines

Thiele, Jeffrey D Orth, Adam M Feist, Daniel C Zielinski, Aarash
Bordbar, Nathan E Lewis, Sorena Rah- manian, Joseph Kang,
Daniel R Hyduke, and Bernhard O Palsson. Quantitative
prediction of cellular metabolism with constraint-based
models: the cobra toolbox v2.0. Nat. Protocols, 6(9):1290
1307, 09 2011.
 Jong Min Lee, Erwin P. Gianchandani, and Jason A. Papin. Flux

!

balance analysis in the era of metabolomics. Brie鍖ngs in
Bioinformatics, 7(2):140150, 2006. doi: 10.1093/bib/bbl007.


40
Questions?

 S T E V E N S TA D L E R


41

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Computational Analysis in an extended model of E. Coli

  • 1. S T E V E N S TA D L E R | B L A N K L A B C O M P U TAT I O N A L A N A LY S I S I N A N E X T E N D E D STOICHIOMETRIC MODEL OF ESCHERICHIA COLI 1
  • 2. ESCHERICHIA COLI E. COLI Rod-shaped bacterium Commonly found in the lower intestine of warm-blooded organisms Can be grown easily and inexpensively in a laboratory setting Investigated for over 60 years 5 metabolic reconstruction available 2
  • 3. C U R R E N T M O S T D E TA I L E D M O D E L O F E . C O L I IJO1366 Published in 2011 from the systems biology research group in California under the supervision of Bernhard Palsson Contains 2251 reactions, 1136 unique metabolites, and 1366 genes. An update of iAF1260, to include biosynthetic pathways 3
  • 4. A N U P D A T E O F I J O 1 3 6 6 W I T H V O L A T I L E M E TA B O L I T E S AN APPROACH TO ENHANCE A M O D E L W I T H D ATA B A S E K N O W L E D G E 3788 additional reactions Fetched from KEGG Addition of 194 volatile metabolites 124 were identifiable in KEGG Hit rate of 61% (118/194) 54% with standard reactions of KEGG 4
  • 5. 5
  • 6. FURTHER FOCUS OF THIS P R E S E N TAT I O N Explanation of the stoichiometric nature of iJO1366 Computational Analysis with FBA Querying of data to enhance iJO1366 Introduction of common pathway databases Integration of data into iJO1366 6
  • 7. PA T H W A Y S T O D E S C R I B E C H E M I C A L P R O C E S S E S STOICHIOMETRY Branch of chemistry that deals with the relative quantities of reactants and products in chemical reactions. m x n matrix S with m metabolites and n reactions Starting from knowledge we have, we do: Spot all reactions Detect which metabolite is consumed and wich is produced Loss of informativeness!!! 7
  • 8. FURTHER FOCUS OF THIS P R E S E N TAT I O N Explanation of the stoichiometric nature of iJO1366 Computational Analysis with FBA Querying of data to enhance iJO1366 Introduction of common pathway databases Integration of data into iJO1366 8
  • 9. F L U X B A L A N C E A N A LY S I S FBA A mathematical approach for analyzing the flow of metabolites through a metabolic network 9
  • 10. FURTHER FOCUS OF THIS P R E S E N TAT I O N Explanation of the stoichiometric nature of iJO1366 Computational Analysis with FBA Querying of data to enhance iJO1366 Introduction of common pathway databases Integration of data into iJO1366 10
  • 11. T Y P I C A L D ATA M I N I N G I N F L U E N C E D WORKFLOW 11
  • 12. D E V E L O P M E N T O F A N A P P L I C A T I O N T O E N H A N C E M O D E L S A U T O M A T I C A L LY H O W T O C O N S U LT A D ATA B A S E Typhoeus a RUBY GEM Runs HTTP requests in parallel while cleanly encapsulating handling logic Grab as many as possible Dynamic storage mechanism Hash Maps Instant accessing time 12
  • 13. REST R E P R E S E N TAT I O N A L S TAT E T R A N S F E R Architectural principle of web-based applications defined by Roy Fielding in 2000 Influenced from HTTP The standard INTERNET protocol ! SERVICE DESCRIPTION AS URL GET R E Q U E S T A PA G E /GENES/ALL POST S E N D M U LT I P L E D ATA TO SERVER /GENES/NEW PUT UPLOAD A RESOURCE TO SERVER / G E N E S / THRA DELETE REMOVE RESOURCE / G E N E S / THRA / D E L E T E 13
  • 14. FURTHER FOCUS OF THIS P R E S E N TAT I O N Explanation of the stoichiometric nature of iJO1366 Computational Analysis with FBA Querying of data to enhance iJO1366 Introduction of common pathway databases Integration of data into iJO1366 14
  • 15. VISUALIZATION OF THE INNER STOICHIOMETRIC LIFE OF A CELL PAT H W AY D ATA B A S E S Visualizable as an acyclic, directed graph No cycles and every edge is directed A Pathway shows the transformation of a metabolic species to a an end product Enzyme catalyze a reaction Reaction transforms educts to products 15
  • 16. O N O F T H E B I G G E S T PA T H W A Y D A TA B A S E S KEGG Kyoto Encyclopedia of Genes and Genomes (KEGG) Database resource for understanding high-level functions and utilities of the biological system Initiated in May 1995 it consists of 3 databases PATHWAY GENES LIGAND 16
  • 17. AN EXAMPLE OF AN REACTION ENTRY KEGG 17
  • 18. A PA R A G O N O F A R E S T F U L A P I KEGG API Application programming interface (API) Specifies how software components should interact with each other. 18
  • 19. O N O F T H E B I G G E S T PA T H W A Y D A TA B A S E S KEGG ENTRY 19
  • 20. F O C U S O F T H I S P R E S E N TAT I O N Explanation of the stoichiometric nature of iJO1366 Computational Analysis with FBA Querying of data to enhance iJO1366 Introduction of common pathway databases Integration of data into iJO1366 20
  • 21. SEVERAL STEPS ARE NECESSARY TO AUTOMATIZE AN ENHANCEMENT PROCESS W O R K F L O W O F A N A P P L I C AT I O N T O ENHANCE MODELS Querying of additional data Storage of additional data Structured as objects for easier access Creation of a search tree with nodes as states Evaluate the worth of a possible enhancement 21
  • 22. A C O M M O N PA R A D I G M I N T H E P R O G R A M M I N G C O M M U N I T Y O B J E C T- O R I E N T E D D ATA MANAGEMENT Every concept is a object With all its attributes Easier to iterate through, to get objects with certain attributes 22
  • 23. INFLUENCED FROM HEURISTIC BASED A.I. TECHNIQUES S TAT E - B A S E D T H I N K I N G Every enhancement induces a new situation Additional metabolites Additional reactions Start with an metabolites as first state Expand it and his successors until a goal state is reached 23
  • 24. EFFICIENT AND POWERFUL I T E R AT I V E D E E P E N I N G State space search strategy Depth-limited search is run repeatedly Increasing the depth limit with each iteration Stops at pre-defined depth d Depending on the task, the max depth has to be chosen 24
  • 25. EFFICIENT AND POWERFUL I T E R AT I V E D E E P E N I N G State space search strategy Depth-limited search is run repeatedly Increasing the depth limit with each iteration Stops at pre-defined depth d 25
  • 26. EFFICIENT AND POWERFUL I T E R AT I V E D E E P E N I N G State space search strategy Depth-limited search is run repeatedly Increasing the depth limit with each iteration Stops at pre-defined depth d 26
  • 27. EFFICIENT AND POWERFUL I T E R AT I V E D E E P E N I N G State space search strategy Depth-limited search is run repeatedly Increasing the depth limit with each iteration Stops at pre-defined depth d 27
  • 28. EFFICIENT AND POWERFUL I T E R AT I V E D E E P E N I N G State space search strategy Depth-limited search is run repeatedly Increasing the depth limit with each iteration Stops at pre-defined depth d 28
  • 29. EFFICIENT AND POWERFUL I T E R AT I V E D E E P E N I N G State space search strategy Depth-limited search is run repeatedly Increasing the depth limit with each iteration Stops at pre-defined depth d 29
  • 30. EFFICIENT AND POWERFUL I T E R AT I V E D E E P E N I N G State space search strategy Depth-limited search is run repeatedly Increasing the depth limit with each iteration Stops at pre-defined depth d 30
  • 31. EFFICIENT AND POWERFUL I T E R AT I V E D E E P E N I N G State space search strategy Depth-limited search is run repeatedly Increasing the depth limit with each iteration Stops at pre-defined depth d 31
  • 32. O N E O F T H E H A R D E S T P R O B L E M S I N S TA T E B A S E D A P P R O A C H E S S TAT E E X P L O S I O N Number of states grow rapidly Exponential d # S TAT E S # S TAT E S (REACTIONS REVERSIBLE) Reactions focused on E. Coli 2 241 4 3651 54241 6 205360 1,2 X 10^7 8 32 65 12 X 10^6 2,8 X 10^9
  • 33. S E V E R A L A P P R O A C H E S T O H A N D L E A B I G S TA T E S PA C E M A N A G I N G T H E S E A R C H S PA C E Pruning of the search space Remove unworthy nodes Pre-ordering of the search state Expand worthy states first Depending on the implemented heuristic 33
  • 34. A S TA T I S T I C A B O U T T H E A V E R A G E N U M B E R O F N E W E D I C T S A F T E R A N S TA T E E X PA N S I O N M A N A G I N G T H E S E A R C H S PA C E AV E R A G E N U M B E R O F N E W E D U C T S Depth 2 1 Depth 3 Depth 4 0,75 0,5 0,25 0 C00207 C00014 C00180 C16521 34 C00409 C02223 C00146 C01879
  • 35. IS IT WORTH TO GO DEEPER? M A N A G I N G T H E S E A R C H S PA C E R AT I O N B E T W E E N S O L U T I O N S A N D S TAT E S Depth 2 1 Depth 3 Depth 4 0,75 0,5 0,25 0 C00207 C00014 C00180 C16521 35 C00409 C02223 C00146 C01879
  • 36. F A C I N G I N C O N S I S T E N C Y W E H A V E T O I N T E G R A T E T H E D A TA I N T E G R AT I N G N E W D ATA Fetched data has to be normalized Use regular expressions to grab necessary data Transform data to current standard Be aware of inconsistency Missing information has to be estimate Is it worth to estimate? Use data you already have 36
  • 37. P O I N T S W H I C H S T I L L H A V E T O B E S O LV E D P R O B L E M S T O S O LV E Application is specialized to iJO1366 Find normalization methods Queries depend on restful web services Develop wrapper methods Application is constrained on E. Coli reactions only Find solutions to handle state explosions Evaluate states concerning biological aspects 37
  • 38. SUGGESTIONS FOR THE FURTHER WORK OUTLOOK More and more web services become restful Easier to develop web crawler to fetch new data A standardization of data should be developed KEGG is a proper example of standardization and easy APIs Future network reconstructions are already very complex Collaboration of programmers with biologists to develop applications for an easier work with metabolic models 38
  • 40. REFERENCES Pictures adapted from Jan Schellenberger, Richard Que, Ronan M T Fleming, Ines Thiele, Jeffrey D Orth, Adam M Feist, Daniel C Zielinski, Aarash Bordbar, Nathan E Lewis, Sorena Rah- manian, Joseph Kang, Daniel R Hyduke, and Bernhard O Palsson. Quantitative prediction of cellular metabolism with constraint-based models: the cobra toolbox v2.0. Nat. Protocols, 6(9):1290 1307, 09 2011. Jong Min Lee, Erwin P. Gianchandani, and Jason A. Papin. Flux ! balance analysis in the era of metabolomics. Brie鍖ngs in Bioinformatics, 7(2):140150, 2006. doi: 10.1093/bib/bbl007. 40
  • 41. Questions? S T E V E N S TA D L E R 41