chemart / rna-folding-ac
View on GitHubRNA-folding ribozyme artificial chemistry — The most physically real chemistry in the catalog. Molecules are RNA sequences, and each one is folded by actual free-energy minimisation into a secondary structure; the structure's largest loop is then read as the react…
chemistry
official · built in
systems-biology
fidelity: reconstructed
constructive
#banzhaf-yamamoto
hub:
repo_type: generator
builtin: rna-folding-ac
tags:
- banzhaf-yamamoto
chemistries:
- id: rna-folding-ac
name: RNA-folding ribozyme artificial chemistry
intuition: 'The most physically real chemistry in the catalog. Molecules are RNA sequences, and each
one is folded by actual free-energy minimisation into a secondary structure; the structure''s largest
loop is then read as the reaction that molecule catalyses. So genotype determines phenotype determines
function, with the middle step done by thermodynamics rather than by a lookup table. It also exhibits
the property that makes RNA landscapes special: vast neutral networks, where many mutations leave
the fold and hence the function unchanged.
'
aliases:
- Ullrich-Flamm ribozyme metabolism
- sequence-to-function map for ribozyme-catalyzed metabolisms
origin: Ullrich & Flamm, 2008
book: 18.1.1
refs:
- '[873]'
- '[874]'
- '[875]'
- '[876]'
- '[280]'
- '[349]'
- '[389]'
- '[390]'
- '[300]'
- '[103]'
family: systems-biology
kind: generator
constructive: true
S:
repr: RNA sequences over AUGC, each folded by free-energy minimisation (Vienna RNA) into a secondary
structure in dot-bracket notation; Species.structure holds 'sequence dot-bracket'
definition: implicit
R:
definition: implicit
arity:
- 2
- 3
scheme: 'Two-step genotype->phenotype->function map: sequence -> MFE structure -> catalytic function
read off the longest loop, interpreted as the imaginary transition structure (ITS) of the catalysed
reaction. A mono-cyclic ITS of size 2n alternates n broken and n formed bonds, so only even loop
cycles are catalytic; one stem (hairpin) gives cleavage E + X -> E + Y + Z, two stems (interior/bulge)
give ligation E + Y + Z -> E + X. The ribozyme binds the Watson-Crick reverse complement of its
loop sequence.
'
A:
reactor:
- well-stirred-multiset
- graph-rewrite
dilution: closure mode is cut off by max_species; the well-stirred run optionally dilutes back to
the initial population size
params:
- name: seq_length
type: int
default: 30
min: 8
max: 120
role: structural
meaning: length of each RNA sequence in the initial pool
range: Flamm et al. (2010) use tRNA-size genes of 100 nt carried on a 5000 nt genome
- name: pool
type: int
default: 8
min: 1
max: 200
role: population
meaning: number of random RNA sequences the run starts from
range: well-stirred mode needs at least 3; paper-scale runs hold tens of ribozymes per cell
- name: mode
type: enum
default: closure
choices:
- closure
- well-stirred
role: structural
meaning: 'closure: every reaction reachable from the pool; well-stirred: the reactions that fired
in a multiset run, with counts'
- name: max_species
type: int
default: 60
min: 2
max: 5000
role: structural
meaning: species budget for the closure; the network is reported as truncated when it is reached
- name: steps
type: int
default: 500
min: 1
max: 200000
role: population
meaning: number of collisions in the well-stirred run
- name: dilution
type: enum
default: none
choices:
- none
- constant
role: population
meaning: whether the well-stirred population is diluted back to its initial size after every reaction
- name: its_min
type: int
default: 4
min: 2
max: 200
role: structural
meaning: smallest ITS size (longest-loop cycle length) that is catalytic
- name: its_max
type: int
default: 12
min: 2
max: 200
role: structural
meaning: largest ITS size that is catalytic; larger loops are treated as composite transition structures
- name: min_recognition
type: int
default: 3
min: 1
max: 50
role: structural
meaning: length of the recognition word read off the loop sequence (level 4 of the ITS hierarchy,
the atom types)
- name: min_fragment
type: int
default: 2
min: 1
max: 50
role: structural
meaning: shortest fragment a cleavage may produce
provides:
- topology
- stoichiometry
- catalysts
- energies
- mass-conservation
- initial-state
- sequence-structure-function
fidelity: reconstructed
sources:
- 'Flamm, C., Ullrich, A., Ekker, H., Mann, M., Hogerl, D., Rohrschneider, M., Sauer, S., Scheuermann,
G., Klemm, K., Hofacker, I.L. & Stadler, P.F. (2010). Evolution of metabolic networks: a computational
frame-work. Journal of Systems Chemistry 1:4. Open access, https://doi.org/10.1186/1759-2208-1-4 -
sections ''Ribozyme Catalysis'' and ''Artificial Molecular Biology'' are the specification used here.'
- Banzhaf, W. & Yamamoto, L. (2015). Artificial Chemistries, section 18.1.1 and table 18.1 (MIT Press).
- Ullrich, A. & Flamm, C. (2008). Functional evolution of ribozyme-catalyzed metabolisms in a graph-based
toy-universe. CMSB, LNCS 5307:28-43. https://doi.org/10.1007/978-3-540-88562-7_7 (abstract and introduction
only; the full chapter is paywalled).
- Ullrich, A. & Flamm, C. (2009). A sequence-to-function map for ribozyme-catalyzed metabolisms. ECAL,
LNCS 5778:19-26. https://doi.org/10.1007/978-3-642-21314-4_3 (abstract and introduction only; the
full chapter is paywalled).
- Fujita, S. (1986). Description of organic reactions based on imaginary transition structures. J. Chem.
Inf. Comput. Sci. 26(4):205-230 - the ITS cycle alternates broken and formed bonds, hence the even-size
criterion.
- Hofacker, I.L., Fontana, W., Stadler, P.F., Bonhoeffer, S., Tacker, M. & Schuster, P. (1994). Fast
folding and comparison of RNA secondary structures. Monatshefte fur Chemie 125:167-188 - the folding
routines (ViennaRNA 2.7.2 is used here).
decisions:
- 'The book describes this AC in prose only. The model is reconstructed from Flamm et al. (2010), which
states the map verbatim: sequence -> MFE structure (Vienna RNA) -> the longest loop read as the ITS,
with the ITS size given by the loop length, the stems fixing the arrangement of the electron re-ordering,
and the sequence inside the loop fixing the atom types.'
- 'Loop length is implemented as the length of the loop cycle in the structure graph: unpaired bases
plus the two bases of every delimiting pair. This is the cycle whose size Fujita counts as the number
of atoms in the electron re-ordering; the exterior loop is not a cycle and is excluded.'
- 'Catalytic criterion: a mono-cyclic ITS of size 2n breaks n and forms n bonds alternately (Fujita
1986), so only even cycle sizes are catalytic, within [its_min, its_max]. Multiloops (three or more
stems) are composite transition structures and are inert here.'
- 'Which concrete reaction each ITS class denotes is specified in Ullrich''s Leipzig PhD thesis and
in the paywalled CMSB/ECAL chapters, none of which could be obtained. Chemart therefore fixes the
two canonical ribozyme reactions by stem count: hairpin loops (one stem) cleave, interior and bulge
loops (two stems) ligate. This is Chemart''s choice, not a published rule.'
- 'The original model rewrites ToyChem metabolite graphs and derives rate constants from activation
energies (QSPR). ToyChem''s extended-Huckel chemistry is out of scope here, so the ribozymes act on
RNA sequences themselves: the recognition site is the Watson-Crick reverse complement of the first
min_recognition bases of the loop sequence, cleavage cuts immediately 3'' of that site, and ligation
joins two molecules whose junction spells it. No rate constants are published that this implementation
could reproduce, so every reaction carries rate None.'
- Defaults are small (30 nt, 4 seed sequences, 60 species) so that the closure folds in well under a
second; the paper's scale (100 nt genes, 5000 nt genomes, 100-1000 generations) is recorded in the
params' range fields.
- Book table 18.1 gives two 60 nt sequences with their RNAfold structures. ViennaRNA 2.7.2 reproduces
the second exactly (-7.10 kcal/mol); for the first it returns a different structure at -10.90 kcal/mol,
while the book's structure evaluates to -9.80 and appears in the 1.5 kcal/mol suboptimal ensemble.
The book's first structure is therefore suboptimal under current Turner parameters (identical under
Turner 1999 and 2004); the tests record both facts.
reference_impl: Graph Grammar Library (GGL), http://www.tbi.univie.ac.at/software.html - the original
toolchain (ToyChem + GGL), not ported here
phenomena:
- 'large neutral networks in genotype space: a large fraction of point mutants fold to the same structure,
so the map is simultaneously robust and evolvable'
- a variety of alternative functions is reachable within a short distance in sequence space
- small-world connectivity with highly connected hub metabolites in large evolved networks
- 'phased evolution: forward extension of pathways that break food molecules down first, enzyme recruitment
and specialisation later'
notes: 'The most ''realistic'' generator in the book: real thermodynamic folding driving the genotype-phenotype
map. Chemart implements the folding and the sequence-to-function map faithfully and substitutes RNA
cleavage/ligation for the ToyChem graph rewriting, so the network is a ribozyme chemistry on sequences
rather than on metabolite graphs.
'