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rate
form/activity
level
rate
form/activity
level
rate
Reaction rate
Enzyme form/activity
Proteins
Enzyme level/
Translation rate
form/activity
RNAs
RNA level/
Transcription rate
DNAs
Inside every organism
food
intake
Robust
Efficient
Evolvable
Organs
Tissues
Cells
Molecules
Catabolism
Precursors
Inside every cell
Carriers
Nucleotides
Precursors
Biosynthesis
Massively
autocatalytic
Co-factors
RNA Transc.
xRNA RNA level/
Transcription rate
RNAp
Gene
DNA level
Precursors
Catabolism
AA
RNA Transc.
Gene
xRNA
RNAp
Precursors
Catabolism
AA
transl.
tRNA
Enzymes
Ribosome
ncRNA
mRNA
RNA Transc.
Gene
xRNA
RNAp
Precursors
Catabolism
AA
transl.
Enzymes
tRNA
Autocatalysis
everywhere
Ribosome
RNA transc. xRNA
RNAp
S
reactions
P
Enz1 reaction3
tRNA
ncRNA
AA
trans.
products
Reaction rate
Enzyme form/activity
Enz2
Enzyme level/
Translation rate
Enzymes
Enz2
RNA form/activity
mRNA
RNA Transc.
Gene
RNAp
xRNA
RNA level/
Transcription rate
Ribosome
reactions
All
products
feedback
everywhere
products
reaction3
Proteins
trans.
These
won’t be
drawn in
detail
Transc.
ncRNA
S
reactions
P
Enz1 reaction3
tRNA
ncRNA
AA
trans.
products
Reaction rate
Enzyme form/activity
Enz2
Enzyme level/
Translation rate
Enzymes
Enz2
RNA form/activity
mRNA
RNA Transc.
Gene
RNAp
xRNA
RNA level/
Transcription rate
Ribosome
S
reactions
P
Enz1 reaction3
tRNA
ncRNA
AA
trans.
Reaction rate
Enz2
Enzymes
Enzyme form/activity
Enzyme level/
Translation rate
RNA form/activity
mRNA
RNA Transc.
Gene
RNAp
xRNA
RNA level/
Transcription rate
Ribosome
S
reactions
Enz1 reaction3
P
products
Reaction rate
Enz2
Enzyme form/activity
Running only the top layers
Mature red
blood cells
live 120 days
Diverse
Application
Diverse
application
s and
genomes
Genome
Diverse
Horizontal gene transfer
HGT and
Shared
Protocols
Bacteria
Eukaryotes
Animals
Archaea
Fungi
Plants
Algae
What is locus
of early
evolution?
Horizontal gene transfer
HGT and
Shared
Protocols
Bacteria
Eukaryotes
Animals
Archaea
Gene
Fungi
Plants
Algae
DNA level
Controlled,
dynamic
reactions
S
HGT and
Shared
Protocols
Bacteria
products Reaction
P
rate
Eukaryotes
Enz1 reaction3
Enz2
Animals
Fungi
Plants
Archaea
AA
trans.
Enzyme
form/activity
Enzyme level/
Enzymes Translation rate
Algae
mRNA
Ribosome
tRNA
RNA Transc.
RNAp
ncRNA
xRNA
Gene
RNA
form/activity
RNA level/
Transcription rate
Catabolism
Precursors
Core metabolism
Carriers
Nucleotides
Catabolism
Precursors
Nutrients
Taxis and
transport
Same
12
in all
Core metabolism
cells
Nucleotides
Carriers
Same
8
in all
cells
Catabolism
Precursors
Core metabolism
Nucleotides
Carriers
Constraints that deconstrain
Protocols
Catabolism
Precursors
Core metabolism
Carriers
Nucleotides
Precursors
Catabolism
Carriers
Gly
G1P
G6P
Catabolism
F6P
F1-6BP
Gly3p
ATP
13BPG
3PG
2PG
NADH
Oxa
PEP
Pyr
ACA
TCA
Cit
Gly
Precursors
G1P
G6P
F6P
metabolites
F1-6BP
Gly3p
13BPG
3PG
2PG
Oxa
PEP
Pyr
ACA
TCA
Cit
Gly
G1P
G6P
Enzymatically
catalyzed reactions
F6P
F1-6BP
Gly3p
13BPG
3PG
2PG
Oxa
PEP
Pyr
ACA
TCA
Cit
Gly
Precursors
G1P
G6P
F6P
Autocatalytic
F1-6BP
Gly3p
Carriers
ATP
13BPG
3PG
2PG
Oxa
PEP
Pyr
ACA
TCA
NADH
Cit
Gly
G1P
G6P
Regulatory
F6P
F1-6BP
Gly3p
ATP
13BPG
3PG
2PG
Oxa
PEP
Pyr
ACA
TCA
NADH
Cit
Gly
G1P
G6P
F6P
F1-6BP
Gly3p
13BPG
3PG
2PG
Oxa
PEP
Pyr
ACA
TCA
Cit
If we drew the feedback loops the
diagram would be unreadable.
Gly
G1P
G6P
F6P
F1-6BP
Gly3p
ATP
13BPG
3PG
2PG
Oxa
PEP
Pyr
ACA
TCA
NADH
Cit
Stoichiometry or mass
and energy balance
Biology is not a graph.
dx
 Sv( x)
dt
 Mass & 
 Reaction 


  Energy  

flux

 Balance  
Interna
l
Nutrients
Products
dx
 Sv( x)
dt
Stoichiometry plus
regulation
 Mass & 
 Reaction 
d


 Mass&Energy    Energy  

flux
dt

 Balance  
 Matrix of integers
 “Simple,” can be
known exactly
 Amenable to high
throughput assays
and manipulation
 Bowtie architecture
 Vector of (complex?) functions
 Difficult to determine and
manipulate
 Effected by stochastics and
spatial/mechanical structure
 Hourglass architecture
 Can be modeled by optimal
controller (?!?)
dx
 S
Sv( x)
dt
 Mass & 
 Reaction 


  Energy  

flux

 Balance  
Gly
G1P
G6P
F6P
F1-6BP
Gly3p
ATP
Stoichiometry
matrix
13BPG
3PG
2PG
Oxa
PEP
Pyr
ACA
TCA
NADH
Cit
dx
 Sv( x)
dt
 Mass & 
 Reaction 


  Energy  

flux

 Balance  
Gly
G1P
G6P
F6P
F1-6BP
Gly3p
Regulation of enzyme levels by
transcription/translation/degradation
13BPG
3PG
2PG
Oxa
PEP
level
Pyr
ACA
TCA
Cit
dx
 Sv( x)
dt
 Mass & 
 Reaction 


  Energy  

flux

 Balance  
Gly
G1P
G6P
F6P
F1-6BP
form/activity
Gly3p
ATP
13BPG
Allosteric regulation
of enzymes
3PG
2PG
Oxa
PEP
Pyr
ACA
TCA
NADH
Cit
 Mass & 
 Reaction 
dx


 Sv( x)   Energy  

flux
dt

 Balance  
Gly
G1P
G6P
rate
F6P
form/activity
F1-6BP
Gly3p
level
ATP
13BPG
3PG
2PG
Oxa
PEP
Pyr
ACA
TCA
NADH
Cit
 Mass & 
 Reaction 
dx


 Sv( x)   Energy  

rate
dt

 Balance  
Gly
G1P
G6P
rate
F6P
Layered
F1-6BP
architecture
Gly3p
form/activity
level
ATP
13BPG
3PG
2PG
Oxa
PEP
Pyr
ACA
TCA
NADH
Cit
rate
form/activity
level
Control
of
protein
levels
Reaction rate
Enzyme form/activity
Proteins
Enzyme level/
Translation rate
RNAs
DNAs
rate
form/activity
level
rate
form/activity
level
rate
Reaction rate
Enzyme form/activity
Proteins
Enzyme level/
Translation rate
form/activity
RNAs
RNA level/
Transcription rate
DNAs
Transcription
RNA Transc.
RNAp
Gene
xRNA
RNA level/
Transcription rate
DNA level
RNA level
product
Enz
Controlled,
dynamic
RNA Transc.
RNAp
Gene
xRNA
RNA level/
Transcription rate
DNA level
Precursors
AA
tRNA
trans.
mRNA
RNA Transc.
RNAp
Enzyme level/
Enzymes
Translation rate
Gene
xRNA
ncRNA
RNA level/
Transcription rate
DNA level
reactions
S
Enz1 reaction3
AA
trans.
products Reaction
P
rate
Enzyme
form/activity
Enz2
Enzyme level/
Enzymes Translation rate
mRNA
Ribosome
tRNA
RNA Transc.
RNAp
ncRNA
xRNA
Gene
RNA
form/activity
RNA level/
Transcription rate
What to call
the
sublayers?
Reaction rate
Enzyme form/activity
rate
form/activity
level
What is where
Enzyme level/
Translation rate
RNA form/activity
RNA level/
Transcription rate
Taxis and
transport
Autocatalytic feedback
12
Polymerization
and complex
assembly
Precursors
Catabolism
Co-factors
Genes
Carriers
DNA
replication
Huge
Variety
8
100
Trans*
Proteins
Nutrients
Core metabolism
104 to  ∞
in one
organisms
Autocatalytic feedback
Polymerization
and complex
assembly
Huge
Variety
Proteins
Genes
DNA
replication
Trans*
104 to  ∞
in one
organisms
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