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Dept. of Logic and Philosophy of Science (IAS Research Group) Biophysics Research Unit (CSIC-UPV/EHU). Taking a strong ‘bottom-up’ approach to the origins of life: How far can prebiotically plausible molecules go?. Kepa Ruiz-Mirazo. CERN, Geneva 20 May 2011. - PowerPoint PPT Presentation
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Taking a strong ‘bottom-up’ approach to the
origins of life:
How far can prebiotically plausible molecules go?
Kepa Ruiz-Mirazo
CERN, Geneva20 May 2011
Dept. of Logic and Philosophy of Science (IAS Research Group)Biophysics Research Unit (CSIC-UPV/EHU)
«The idea that biological organization is fully determined by molecular structures is popular, seductive, potent and true up to a point -- yet
fundamentally wrong... It disregards the fact that the cell as a whole is required
to create the proper environment for self-assembly to proceed.»
[F. Harold 2003]
LIFE: SYSTEM PROPERTY ! → ORIGINS: SYSTEMIC APPROACH!!
CAPACITY FOR ‘SELF-CONSTRUCTION’
(metabolism)
POTENTIAL FOR ‘INDEFINITE GROWTH OF COMPLEXITY’
(‘Darwinian’ evolution)
A universal definition of ‘minimal life’
‘autonomy’ ‘open-ended evolution’
[Ruiz-Mirazo et al. 2004, Origs. Life Evol. Biosph.]
LIFE :
very complex molecules (DNA, RNA, proteins, sugars, lipids,...)
very complex organization (‘genetically-instructed’ cellular metabolisms)
[Reprinted (2010): Anthology -- CUP]
Universal biochemical features
DNAas the genetic material
Genetic code
Energy currenciesHomochirality
Cellular boundary Common coenzymes and metabolic
intermediaries
ATP Synthase
[INSERT: ‘grt video of atp synthase’]
Universal biophysical/biochemical features
SELF-ORGANIZATION & SELF-ASSEMBLY (!)
MAIN BOTTOM-UP PROBLEMS TO BE ADDRESSED:
-MINIMAL CONCENTRATION THRESHOLDS(BOUNDARIES: PROTOCELLULARITY)
- KINETIC CONTROL: ORIGIN AND DEVELOPMENT OF CATALYSIS(OLIGOMERIZATION, ANABOLIC AUTOCATALYSIS, ORGANOCATALYSIS!)
- PROCESS SYNCHRONIZATION + INTEGRATION SUPERSYSTEMS(e.g., chemical oscillations with division cycles)
-CONTROL ON MATTER AND ENERGY FLOW: (TRANSDUCTION + ENDERGONIC-EXERGONIC COUPLINGS)
between boundary (scaffolding)
and protometabolic reactions
‘co-evolution’
(Gánti 1975; 2002)
Infrabiological systems“Proliferating microsphere”
(Szathmáry et al., 2005 )
FORGET (temporarily) ABOUT COMPLEX BIOMOLECULES (e.g.: DNA, RNA, PROTEINS,…):
CAN WE DO INTERESTING ‘SYSTEMS CHEMISTRY’ WITH MUCH SIMPLER (and prebiotically plausible) MOLECULES ?
(e.g., fatty acids, amphiphiles/surfactants, alcohols, aminoacids, short peptides...)
‘basic autonomous’ systems
‘OLIGOMER (peptides)WORLD’
‘hereditary autonomous’ systems
‘ONE-POLYMER (RNA) WORLD’
minimal living systems(autonomy + open-ended evolution):
‘TWO/THREE-POLYMER WORLD’(RNA-protein/DNA-RNA-protein)
second major ‘bottleneck’: ‘template-replication’ mechanisms
third major bottleneck: phenotype-genotype decoupling(catalysis /// template activity)
‘translation’ mechanisms and genetic code
!
!
first major bottleneck: ‘proto-bioenergetic’ mechanisms!
INCREASE IN MOLECULAR AND ORGANIZATIONAL
COMPLEXITY
ORIGINS OF LIFE
FUNCTION
INFORMATION
[Ruiz-Mirazo et al. (2004) OLEB 34: 323-346 ]
If so, apart from self-organisation and self-assembly…
Are there any other “driving forces”?
…when proper Darwinian evolution (i.e., involving replication of modular templates)
is still on its way…
NATURE 2008 Jul 3; 454:122-5.
(Pre-biopolymer) scenario with:
• SELF-ASSEMBLING VESICLES made of fatty acids, amphiphiles/surfactants, alcohols, mixtures,... evidence from: (a) external sources [Deamer 1986, 1997; Dworkin et al. 2001]
(b) abiotic (Fischer-Tropsch) synthesis [Nooner et al. 1976; Allen & Ponnamperuma 1967; Rushdi & Simoneit 2001]
• SHORT PEPTIDE CHAINS (rudimentary channels/carriers and catalysts) made of: Ala, Gly, Asp, Glu, Ser, Val… evidence from: (a) external sources [Pizzarello et al. 2006; Bernstein et al. 2002]
(b) abiotic (Strecker, SIPF,… ) synthesis [Miller 1953; Rode 1999]
• VARIOUS ‘COENZYME-LIKE’ COMPOUNDS (e- carriers, pigments...)
• PAHs: PHOTOCHEMICALLY ACTIVE and MEMBRANE STABILIZING!
• PRIMITIVE ENERGY TRANSDUCTION MECHANISMS ? (‘chemical and chemiosmotic’ -- energy currency precursors)
BOTTOM-UP APROACH: MINIMAL ‘lipid-peptide’ CELL
+
PRODUCTION OFMOLEC. COMPLEXITY (e.g., POLYPEPTIDES)
DEVELOPMENT OFLIPIDIC
COMPARTMENTS
• avoid diffusion• adequate scaffolding to anchor
transduction mechanisms • catalytic effect (hydrophobic phase)
• osmotic control/regulation • accessibility of simple molecules
• constructive use of conc. gradients
Why postpone the appearance of compartments when they seem to be pivotal for the material-energetic
implementation of a complex reaction system ??(+later on: only makes integration problems worse!)
‘COMPARTIMENTALIST VIEW’: Morowitz, Deamer, Luisi, Szostak, Monnard...
[Skulachev, V.P. 1992; Harold F. M., 1986]
Luisi (2003) “Autopoiesis: a review and a reappraisal” Naturwissenschaften 90:49-59
‘Autopoietic vesicles’ (Pier Luigi Luisi)
OPEN QUESTIONS (difficulties):
- high cac?
- pH dependence?
- sensitivity to salts?
- capacity to hold gradients?
- fatty acids or isoprenoids?
MAIN SOLUTION to the problems:
continue experimental work
1) using MIXTURES! (of ffaa, alcohols, other surfactants, etc.)
2) trying different CHEMISTRIES (reaction networks)in those ‘messy’, heterogeneous conditions
1.- A flexible (object-oriented/C++) computational environment to simulate the dynamics of chemically reacting cellular systems
(e.g., minimal proto-metabolic cells, biological cells,…)
2.- Stochastic kinetics (Gillespie method): tool to explore all possible dynamic behaviours (including critical transitions at low population numbers,
role of noise, fluctuations,…)
3.- Realistic but not aiming to mimic nature (goal: to inform/complement in vitro models)3a. Not spatially-explicit, but vol/surf constraints calculated from molec. prop.3b. Water molecules not included, but buffering or osmotic effects into account
4.- Heterogeneous conditions (beyond the ‘well-stirred tank flow reactor’ hypothesis)4a. Various reactive domains/phases4b. Cell population dynamics4c. Transport processes between the different reactive domains
(‘molecular diffusion’, ‘gradient diffusion’, ‘aggregation process’,…)
General features of our simulation platform
[crucial point: coupling between transport and internal –or boundary– reaction proc.]
its time evolution is described in terms of the numbers of reactant molecules and requires solving the so-called Master Equation:
P(X, t | X0, t0) dt probability that the system will be in the state X at time t’[t , t+dt], if it was in X0 at
the beginning.
0 0
0 0 0 0
P , t , t = ( - ,t) , , t P , t , t - ( ,t)P , t , t
ta w a
X
X XX X X X X X X X X X X
1, 1 2, 2 , 1, 1 2, 2 ,... ...
1, 2,...
kN N N Nr S r S r S p S p S p S
R
a(X) =
rxxx
kR
r
j,jjj
j,
1ρ 1
N
jρ
N
jρ
1...1
X = ||x1, x2, x3… xN|| (( xj number of molecules of the jth species))k kinetic constant of the th reaction ; = NAV ( scale factor)
Given a homogeneous, well-stirred, chemically reacting system, where N species Sn (n=1,2…N) can be transformed according to R different elementary reactions:
Stochastic Kinetics (I)
that gives the rate of change of the probability density function P(X, t | X0, t0).
,
,1
1N
jj
N
j j j jjr
kx x x r
wa
X X
X
w(∆X |X, t) dt ≡ probability that the system, upon jumping away from state X at time t, will land in state X+∆X.
Where:
a(X, t)dt ≡ probability that the process will jump away from state X in the next infinitesimal time interval [t, t+dt], given X(t)=X.
G’s M: the stochastic time evolution of a reacting system can be seen as sequence of finite time intervals ti, where nothing occurs (dead times), followed by an infinitesimal time interval dt where one of the possible reactions takes place:
1 2 3 i i+1
dti = dead time
1 2 3 i i+1
i = reaction label (1 i R)
t =1 + 2 + … + i + i+1 + …
• This approach allows to study reacting systems with very low molecular populations, as well as micro-dispersed. It is also possible to generalize it to deal with heterogeneous cases (complex organization!).
• The Master Equation is very hard to solve analytically, but Gillespie introduced a Monte Carlo method to simulate the stochastic time evolution of a chemically reacting system.
1
1ln
1τ
na x
1
2
1
1
xxxxx
wanw
It can be shown that by drawing two random number n1 and n2 uniformly distributed in the range [0, 1] the following formulae can be used:
a) to stochastically simulate the dead time:
b) to draw the next reaction:
Stochastic Kinetics (II)
CSystemWater Environment
CSystemChemoton
XCMolecule
CReactorWater Pool
CReactorMembrane
TCMolecule
CFlux XCMolecule
OsmoticPressureBalance
YCMolecule CFlux YCMolecule TCMolecule
CGrowth
A1CMolecule
A2CMolecule A4CMolecule
A3CMolecule
CReaction CReaction
CReaction CReaction
CSystemWater EnvironmentCSystemAqueous Environment
CSystemChemotonCSystemChemoton
XCMolecule XCMolecule
CReactorWater PoolCReactorAqueous Pool
CReactorMembraneCReactorMembrane
TCMolecule TCMolecule
CFlux XCMolecule XCMolecule
OsmoticPressureBalance
YCMolecule YCMolecule CFlux YCMolecule YCMolecule TCMolecule TCMolecule
CGrowth
A1CMolecule A1CMolecule
A2CMolecule A2CMolecule A4CMolecule A4CMolecule
A3CMolecule A3CMolecule
CReaction CReaction
CReaction CReaction
A new object-oriented computational environment to simulate complex chemically reacting systems (minimal proto-metabolic cells)
The object-oriented paradigm allows a one-to-one correspondence between objects in the real world and the abstract objects -or classes- in the code. In this case, the C++ classes CSystem, CReactor, CMolecule CFlux and CReaction cooperate all together to perform the stochastic time evolution of a reacting system (minimal cell model) according to the master equation.
The hierarchical structure of this programming language gives the possibility to build up quite easily increasing levels of complexity in the system (e.g., from a single reactor, in which self-maintenance or growth dynamics can be analysed, to a population of them, in which competitive behaviour and selective evolution could arise).
A new object-oriented computational environment (II)
CSystem Water Environment
XCMolecule
YCMolecule
CSystem Chemoton
CSystem ChemotonCSystem Chemoton
CSystem Chemoton
Balance
BalanceBalance
Balance
CSystem Water EnvironmentCSystemAqueous Environment
XCMolecule XCMolecule
YCMolecule YCMolecule
CSystem ChemotonCSystem Chemoton
CSystem ChemotonCSystem ChemotonCSystem ChemotonCSystem Chemoton
CSystem ChemotonCSystem Chemoton
Balance
BalanceBalance
Balance
1) Realistic diffusion processes (passive transport) across the membrane, considering free flow of water
2) Conditions for division or an eventual ‘osmotic crisis’
so:
3 32 2
/ 236 2 2 9sphere sphere VV S S S V
Overall isotonic condition:
• If:
• When (or before):
3 236S V then: OSMOTIC BURST!
3 22 9S V then: DIVISION!
Our protocell model: main features/assumptions
ExternalInternalspeciesspecies
jiji
TotalA Core A Env
nnC
N V N V
1
2
membranespecies
i ii
S n
internalspecies
ii
Envexternalspecies
jj
nV V
n
23/ 36S V 31 1 2
0.9 1.386( = = 0.1)31 2
Initially spherical pre-division state
[Mavelli & Ruiz-Mirazo: Phil Trans. B (2007) ]
B
B
L LL
kLkL
kLkL B
B
L LLXkLkL
kLkL
kXL
B
B
L LL
Z
Z
Z
kLkL
kLkL
kZ
kZL
kZkZ
2Q
QkQ
Scheme 0
Scheme 2
Scheme 1
Scheme 3
L
W
L
A1
A3
A2A4
XA1
WL
B
B
X
k1
kW
k’1
k’3 k’2
k’4
kX
k3
k4
k2kLkL
kLkL
B
B
L LL
kLkL
kLkLB
B
L LLB
B
L LL
kLkL
kLkL
kLkL
kLkL B
B
L LLXkLkL
kLkL
kXL
B
B
L LLXkLkL
kLkL
kLkL
kLkL
kXL
B
B
L LL
Z
Z
Z
kLkL
kLkL
kZ
kZL
kZkZ
2Q
QkQ
B
B
L LL
Z
Z
Z
kLkL kLkL
kLkL kLkL
kZ
kZL
kZkZ
2Q
QkQ
Scheme 0
Scheme 2
Scheme 1
Scheme 3
L
W
L
A1
A3
A2A4
XA1
WL
B
B
X
k1
kW
k’1
k’3 k’2
k’4
kX
k3
k4
k2
Scheme 3
L
W
L
A1
A3
A2A4
XA1
WL
A1
A3
A2A4
XA1
WL
B
B
X
k1
kW
k’1
k’3 k’2
k’4
kX
k3
k4
k2kLkL
kLkL
[L]eq = 0.004 M ,[ ]L aq L L memk L S k n Eq. condition:, / 2L L memS n
2[ ] L
aqL L
kL
k
kL= 1.0 M-1t-1 ; kL = 0.001t-1
Minimal cell models [Mavelli & Ruiz-Mirazo: Phil Trans. B (2007) ]
‘Empty cell’ dynamics LLLE LC
LDL
BE
DL DL
DL
BC
Spherical membranes with different radius (R) in a pure water solution continuously exchanging lipids L with the internal core and the external environment. As a consequence, the volume fluctuates around the initial spherical value 4/3R3. In fact, these fluctuations bring small structures (R 30) to collapse due to an osmotic crisis.
Cell Volume vs time in a pure water solution
0.0E+00
1.0E+05
2.0E+05
3.0E+05
4.0E+05
5.0E+05
6.0E+05
0.0 100.0 200.0 300.0 400.0
time (a.u.)
Cell
Vo
lum
e n
m3
R = 50 nm
R = 45 nm
R = 40 nm
R = 30 nm
R = 25 nm
R = 35 nm
Stability of spherical membranes with different radius (R) in a pure water solution
8.000E-01
9.000E-01
1.000E+00
1.100E+00
1.200E+00
0.0 50.0 100.0 150.0 200.0 250.0 300.0 350.0 400.0
time (a.u.)
3.998E-03
3.999E-03
4.000E-03
4.001E-03
4.002E-03
0.0 100.0 200.0 300.0 400.0
time (a.u.)
[L] C
ore
Cell water pool lipid concentration against time for a 50 nm radius membrane: [L]C fluctuates around the equilibrium value 0.004M.
stability factor reported against time for an initial spherical membrane of 30 nm radius. fluctuates around 1. 0 (i.e., the value of a perfect sphere).
In the presence of an osmotic buffer B, the fluctuations of the core volume decrease as the buffer concentration increases and this enlarges size range for cell stability.
The average volume fluctuations are reported against buffer concentration
Osmotic buffer effect on the core volume fluctuations: [B]E=
[B]C=0.005M.
[B] = 0.05
5.8E+04
6.2E+04
6.6E+04
7.0E+04
7.4E+04
0.0 500.0 1000.0 1500.0 2000.0 2500.0 3000.0
Vo
lum
e n
m3
Osmotic Buffer effect on 25nm size Membrane
[B] = 0.005
5.8E+04
6.2E+04
6.6E+04
7.0E+04
7.4E+04
0.0 500.0 1000.0 1500.0 2000.0 2500.0 3000.0
Vo
lum
e n
m3
Osmotic buffer effect on membrane stability
0.0E+00
1.0E+03
2.0E+03
3.0E+03
4.0E+03
5.0E+03
1.0E-04 1.0E-03 1.0E-02 1.0E-01 1.0E+00
Buffer Concentration
Avera
ge V
olu
me F
luctu
ati
on
nm
3
Osmotic buffer effect on the core volume fluctuations: [B]E=
[B]C=0.05M.
aL = 0.5 nm2 DL, = 1.0M-1t-1 vL = 1.0 nm3 DL = 0.001M-1t-1
Reproducing real experimental data: swollen vs. deflated protocell competition dynamics
[Mavelli & Ruiz-Mirazo (2008): BIOCOMP’08 Proceedings]
Parameters Oleic Acid POPC
kin 7.6 103s-1M-1nm-2 7.6 103s-1M-1nm-2
kout 7.6 10-2 s-1 7.6 10-7 s-1
[L]Eq (=1) 6.667 M 2.857 10-10M
0.3 nm2 0.7 nm2
0.6 nm3 1.3 nm3
0.21 0.59 [Chen et al. (2004): Science 305]
Proto-Chemotons with different initial radius
0.8
1.0
1.2
1.4
0.0E+00 2.5E+03 5.0E+03 7.5E+03 1.0E+04
time (a.u.)
30 nm
45 nm
40 nm
60 nm
50 nm
Proto-Chemotons with different capability of throw out waste
0.8
1.0
1.2
1.4
0.0E+00 2.5E+03 5.0E+03 7.5E+03 1.0E+04
time (a.u.)
kW = 0.001
kW = 0.1
kW = 0.01
Dw
Dw
Dw
A critical size was found to overcome an eventual osmotic crisis. As much bigger is the size as higher are the stability and growth rate
The permeability coefficient to waste results to be a fundamental parameter to guarantee the stability of the cell.
[ Mavelli & Ruiz-Mirazo: Phil Trans. B (2007) ]
A ‘proliferating microsphere’? [Ganti T. 1975; 2002]
[Piedrafita et al. 2009 ECAL Proc. ]
Two-lipid membranes: FROM ‘SELF-ASSEMBLY’ TO ‘SELF-PRODUCTION’
[Ruiz-Mirazo et al. 2010 AEMB, Springer Series]
L
A1
A3
A2A
4
XA
1
W
L
B
k1
k
k’ 1
k’ 3 k’2
k’ 4
X
k3
k4
k 2k
L
kL
L
A1
A3
A2A
4
XA
1
W
L
B
k1
k
k’ 1
k’ 3 k’2
k’ 4
X
k3
k4
k 2
L
W
L
A4
L
A 1
A3
A 2
XA 1
W
P
B
B
X
k1
DW
k’1
k’3
k’
k’
DX
k3
k4
k2
k
24
5A5
k5
k’
P
P
PN
Laq L
L LaqL Laq
Laq Lk
kk
DW
P PaqPaq P
Pm
+
n+mP
(1, 2, 3,…N)P
n
kk
1
PPaq Pk
P Paqk
k
PN
1 1 1
P P P Paq aq
P P P Paq aq
L L L Laq aq
L L L Laq aq
k k
in outk k
k k
in outk k
P P P
L L L
Cell Metabolic Network
2,3 3,4 4,5 5,1
3,2 4,3 5,4 1,5
2,1
1,2
1.0
0.1
0.1
1.0
k k k k
k k k k
k
k
3
4
1.0 10
1.0 10
aq aq
aq aq
L L L L
P P P P
k k
k k
1,2
2,1
2,3
3,2
3,4
4,3
4,5
5,4
5,1
1,5
1 2
2 3
3 4
4 5
5 12
k
k
k
k
k
k
k
k
k
k
A X A
A A W
A A P
A A L
A A
Membrane Molecular Uptake and Release
Molecular Transport Processes
40
4
400
X
W
W
D
D
D
100 50P Pk k
Membrane Reactions
,
,
G
B
k n m
n m n mk n mP P P
/
/
0 if 20,
if 20
100 0.1
G BG B
G B
n mk n m
k n m
k k
20P
P
k
kP
( 1)
X
W
W
D
Env Core
D
Env Core
D
Env Core
X X
W W
W W
Modelling minimal self-(re-)producing
‘lipid-peptide’ cells (+ osmotic regulation)
[Ruiz-Mirazo & Mavelli (2007): ECAL Proceedings]
[Ruiz-Mirazo & Mavelli (2008): BioSystems 91(2)]
Chiang et al. 2003
www.dur.ac.uk/.../science/peptide_lipid/pl.html
Aromatic residues of actual membrane proteins:
typically located in the transition zone between the low dielectric lipid interior and the polar lipid head
groups
Thank you!