Rights statement: © 2013 Gatherer and Galpin; licensee BioMed Central Ltd. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Final published version, 1.73 MB, PDF document
Available under license: CC BY
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
}
TY - JOUR
T1 - Rosen's (M,R) system in process algebra
AU - Gatherer, Derek
AU - Galpin, Vashti
N1 - © 2013 Gatherer and Galpin; licensee BioMed Central Ltd. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
PY - 2013/11/17
Y1 - 2013/11/17
N2 - Robert Rosen's Metabolism-Replacement, or (M,R), system can be represented as a compact network structure with a single source and three products derived from that source in three consecutive reactions. (M,R) has been claimed to be non-reducible to its components and algorithmically non-computable, in the sense of not being evaluable as a function by a Turing machine. If (M,R)-like structures are present in real biological networks, this suggests that many biological networks will be non-computable, with implications for those branches of systems biology that rely on in silico modelling for predictive purposes.
AB - Robert Rosen's Metabolism-Replacement, or (M,R), system can be represented as a compact network structure with a single source and three products derived from that source in three consecutive reactions. (M,R) has been claimed to be non-reducible to its components and algorithmically non-computable, in the sense of not being evaluable as a function by a Turing machine. If (M,R)-like structures are present in real biological networks, this suggests that many biological networks will be non-computable, with implications for those branches of systems biology that rely on in silico modelling for predictive purposes.
KW - Robert Rosen
KW - (M,R)
KW - Metabolism-replacement
KW - Metabolism-repair
KW - Relational biology
KW - Process algebra
KW - Bio-PEPA
KW - Computability
KW - Turing machine
U2 - 10.1186/1752-0509-7-128
DO - 10.1186/1752-0509-7-128
M3 - Journal article
C2 - 24237684
VL - 7
JO - BMC Systems Biology
JF - BMC Systems Biology
SN - 1752-0509
IS - 1
M1 - 128
ER -