Pathway Analysis in Systems Biology

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U
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S
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H
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Department of Computer Science
M
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K
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Department of Chemical and Biological Engineering
Tufts University
(
Atsumi 
et al
., 2008
)                  (Trinh 
et al
., 2006)                  (Steen 
et al
., 2010)
Embedding
new pathways
Removing
pathways
Improving
existing
pathways
2
 
Enumeration
Elementary Flux Mode
(
Schuster
 
et al
., 2000)
Graph traversal
Dominant-Edge Pathway
Algorithm
(Ullah 
et al
., 2009)
Favorite Path Algorithm*
c
R
2
e
R
4
t
R
6
R
5
d
R
3
Dominant-
Edge
1
st
3
rd
2
nd
4
th
3
 
*Unpublished
Flux variations arise from different conditions
Given a metabolic network graph G = (V,E),
source vertex 
s
 and destination vertex 
t
 and a flux
range associated with each edge, find the
predictably
 
profitable
 path in the graph
4
 
A network in which
any path from 
s
 to 
t
can carry at minimum
v
p
 amount of flux
G
p
 = G(V,E)
such that 
w
e
v
p
v
p
 is obtained from the
best flux-limiting step
s
b
R
1 
(10)
c
R
2 
(6)
e
R
4 
(6)
t
R
6 
(10)
5
A path in the network
having reactions with
smallest variations in
flux
s
b
R
1 
[10 15]
c
R
2 
[8 14]
e
R
4 
[6 10]
t
R
6 
[9 18]
6
1.
I
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p
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n
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t
w
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k
a)
Assign the lower limit of each flux range as edge
weight
b)
Find flux limiting step using favorite path algorithm
c)
Prune all edges having weight less than the flux
liming step found in (b)
2.
I
d
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w
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a)
Assign the flux ranges as edge weight
b)
Use favorite path algorithm to find predictably
profitable path
7
E
s
c
h
e
r
i
c
h
i
a
 
c
o
l
i
62 Reactions
51 Compounds
L
i
v
e
r
 
C
e
l
l
121 Reactions
126 Compounds
8
9
Production of ethanol from glucose in anaerobic
state
Flux data generated from Carlson, R., Scrienc, F.
2004
 
10
glucose
ethanol
PEP
Pyruvate
Flux-limiting step
11
Flux
Limiting
Step
glucose
ethanol
PEP
Pyruvate
Flux-limiting step
Profitable network
12
Profitable
Network
glucose
ethanol
PEP
Pyruvate
Flux-limiting step
Profitable network
Predictably profitable
path
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13
Glycolysis
glucose
ethanol
PEP
Pyruvate
Production of glutathione from glucose
Flux data taken from HepG2 cultures*
Two observed states
Drug free state
Drug fed state (0.1mM of Troglitazone)
*Unpublished results
14
15
glucose
glu
cys
ala
gly
glu
glutathione
akg
akg
lys
Drug free state
16
glucose
glu
cys
ala
gly
glu
glutathione
akg
akg
lys
Drug free state
PPP, Alanine
biosynthesis, Lysine
degradation
17
glucose
glu
cys
ala
gly
glu
glutathione
akg
akg
lys
Drug fed state
18
glucose
glu
cys
ala
gly
glu
glutathione
akg
akg
lys
Drug fed state
PPP, Cystine
biosynthesis
19
glucose
glu
cys
ala
gly
glu
glutathione
akg
akg
lys
Efficient way of identifying target pathways for
analyzing and engineering metabolic networks
Capable of handling variations in flux data
Polynomial runtime
20
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This article delves into the realm of pathway analysis in systems biology, focusing on methods such as embedding new pathways, enumeration of elementary flux modes, flux variations in metabolic networks, and identification of profitable networks. It explores strategies for optimizing metabolic pathways and predicting optimal flux distributions.

  • Pathway Analysis
  • Systems Biology
  • Metabolic Networks
  • Flux Variations
  • Optimization

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  1. Ehsan Ullah, Prof. Soha Hassoun Department of Computer Science Mark Walker, Prof. Kyongbum Lee Department of Chemical and Biological Engineering Tufts University

  2. Embedding new pathways Removing pathways Improving existing pathways (Atsumi et al., 2008) (Trinh et al., 2006) (Steen et al., 2010) 2

  3. Enumeration Elementary Flux Mode (Schuster et al., 2000) Graph traversal Dominant-Edge Pathway Algorithm (Ullah et al., 2009) Favorite Path Algorithm* s 4th R1 2nd b R3 R2 d c R4 R5 3rd e Dominant- Edge 1st R6 t *Unpublished 3

  4. Flux variations arise from different conditions Given a metabolic network graph G = (V,E), source vertex s and destination vertex t and a flux range associated with each edge, find the predictably profitable path in the graph 4

  5. A network in which any path from s to t can carry at minimum vp amount of flux Gp = G(V,E) such that we vp vp is obtained from the best flux-limiting step s R1 (10) b R3 (4) R3 (4) R2 (6) d d c R4 (6) R5 (4) R5 (4) e R6 (10) t 5

  6. A path in the network having reactions with smallest variations in flux s R1 [10 15] b R3 [7 12] R3 [7 12] R2 [8 14] d d c R4 [6 10] R5 [3 11] R5 [3 11] e R6 [9 18] t 6

  7. Identification of profitable network Assign the lower limit of each flux range as edge weight Find flux limiting step using favorite path algorithm Prune all edges having weight less than the flux liming step found in (b) 1. a) b) c) Identification of predictable path in profitable network Assign the flux ranges as edge weight Use favorite path algorithm to find predictably profitable path 2. a) b) 7

  8. Escherichia coli 62 Reactions 51 Compounds Liver Cell 121 Reactions 126 Compounds 8

  9. Production of ethanol from glucose in anaerobic state Flux data generated from Carlson, R., Scrienc, F. 2004 9

  10. glucose PEP ethanol Pyruvate 10

  11. glucose Flux-limiting step Flux Limiting Step PEP ethanol Pyruvate 11

  12. glucose Flux-limiting step Profitable network Profitable Network PEP ethanol Pyruvate 12

  13. glucose Flux-limiting step Profitable network Predictably profitable path Glycolysis is more predictable than PPP Matches maximal production path identified by (Trinh et al., 2006) Glycolysis PEP ethanol Pyruvate 13

  14. Production of glutathione from glucose Flux data taken from HepG2 cultures* Two observed states Drug free state Drug fed state (0.1mM of Troglitazone) *Unpublished results 14

  15. glucose glutathione glu cys gly ala akg lys glu akg 15

  16. glucose glutathione glu cys Drug free state gly ala akg lys glu akg 16

  17. glucose glutathione glu cys Drug free state PPP, Alanine biosynthesis, Lysine degradation gly ala akg lys glu akg 17

  18. glucose glutathione glu cys Drug fed state gly ala akg lys glu akg 18

  19. glucose glutathione glu cys Drug fed state PPP, Cystine biosynthesis gly ala akg lys glu akg 19

  20. Efficient way of identifying target pathways for analyzing and engineering metabolic networks Capable of handling variations in flux data Polynomial runtime 20

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