Morphisms of reaction networks that couple structure to function

Background The mechanisms underlying complex biological systems are routinely represented as networks. Network kinetics is widely studied, and so is the connection between network structure and behavior. However, similarity of mechanism is better revealed by relationships between network structures....
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Autor*in:	Cardelli, Luca [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2014

Schlagwörter:	Morphisms Chemical reaction networks Influence networks Biological networks

Anmerkung:	© Cardelli; licensee BioMed Central Ltd. 2014

Übergeordnetes Werk:	Enthalten in: BMC systems biology - London : BioMed Central, 2007, 8(2014), 1 vom: 15. Aug.
Übergeordnetes Werk:	volume:8 ; year:2014 ; number:1 ; day:15 ; month:08

Links:	Volltext

DOI / URN:	10.1186/1752-0509-8-84

Katalog-ID:	SPR028418581

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520			\|a Background The mechanisms underlying complex biological systems are routinely represented as networks. Network kinetics is widely studied, and so is the connection between network structure and behavior. However, similarity of mechanism is better revealed by relationships between network structures. Results We define morphisms (mappings) between reaction networks that establish structural connections between them. Some morphisms imply kinetic similarity, and yet their properties can be checked statically on the structure of the networks. In particular we can determine statically that a complex network will emulate a simpler network: it will reproduce its kinetics for all corresponding choices of reaction rates and initial conditions. We use this property to relate the kinetics of many common biological networks of different sizes, also relating them to a fundamental population algorithm. Conclusions Structural similarity between reaction networks can be revealed by network morphisms, elucidating mechanistic and functional aspects of complex networks in terms of simpler networks.
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allfields	10.1186/1752-0509-8-84 doi (DE-627)SPR028418581 (SPR)1752-0509-8-84-e DE-627 ger DE-627 rakwb eng Cardelli, Luca verfasserin aut Morphisms of reaction networks that couple structure to function 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Cardelli; licensee BioMed Central Ltd. 2014 Background The mechanisms underlying complex biological systems are routinely represented as networks. Network kinetics is widely studied, and so is the connection between network structure and behavior. However, similarity of mechanism is better revealed by relationships between network structures. Results We define morphisms (mappings) between reaction networks that establish structural connections between them. Some morphisms imply kinetic similarity, and yet their properties can be checked statically on the structure of the networks. In particular we can determine statically that a complex network will emulate a simpler network: it will reproduce its kinetics for all corresponding choices of reaction rates and initial conditions. We use this property to relate the kinetics of many common biological networks of different sizes, also relating them to a fundamental population algorithm. Conclusions Structural similarity between reaction networks can be revealed by network morphisms, elucidating mechanistic and functional aspects of complex networks in terms of simpler networks. Morphisms (dpeaa)DE-He213 Chemical reaction networks (dpeaa)DE-He213 Influence networks (dpeaa)DE-He213 Biological networks (dpeaa)DE-He213 Enthalten in BMC systems biology London : BioMed Central, 2007 8(2014), 1 vom: 15. Aug. (DE-627)522897126 (DE-600)2265490-2 1752-0509 nnns volume:8 year:2014 number:1 day:15 month:08 https://dx.doi.org/10.1186/1752-0509-8-84 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 8 2014 1 15 08
spelling	10.1186/1752-0509-8-84 doi (DE-627)SPR028418581 (SPR)1752-0509-8-84-e DE-627 ger DE-627 rakwb eng Cardelli, Luca verfasserin aut Morphisms of reaction networks that couple structure to function 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Cardelli; licensee BioMed Central Ltd. 2014 Background The mechanisms underlying complex biological systems are routinely represented as networks. Network kinetics is widely studied, and so is the connection between network structure and behavior. However, similarity of mechanism is better revealed by relationships between network structures. Results We define morphisms (mappings) between reaction networks that establish structural connections between them. Some morphisms imply kinetic similarity, and yet their properties can be checked statically on the structure of the networks. In particular we can determine statically that a complex network will emulate a simpler network: it will reproduce its kinetics for all corresponding choices of reaction rates and initial conditions. We use this property to relate the kinetics of many common biological networks of different sizes, also relating them to a fundamental population algorithm. Conclusions Structural similarity between reaction networks can be revealed by network morphisms, elucidating mechanistic and functional aspects of complex networks in terms of simpler networks. Morphisms (dpeaa)DE-He213 Chemical reaction networks (dpeaa)DE-He213 Influence networks (dpeaa)DE-He213 Biological networks (dpeaa)DE-He213 Enthalten in BMC systems biology London : BioMed Central, 2007 8(2014), 1 vom: 15. Aug. (DE-627)522897126 (DE-600)2265490-2 1752-0509 nnns volume:8 year:2014 number:1 day:15 month:08 https://dx.doi.org/10.1186/1752-0509-8-84 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 8 2014 1 15 08
allfields_unstemmed	10.1186/1752-0509-8-84 doi (DE-627)SPR028418581 (SPR)1752-0509-8-84-e DE-627 ger DE-627 rakwb eng Cardelli, Luca verfasserin aut Morphisms of reaction networks that couple structure to function 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Cardelli; licensee BioMed Central Ltd. 2014 Background The mechanisms underlying complex biological systems are routinely represented as networks. Network kinetics is widely studied, and so is the connection between network structure and behavior. However, similarity of mechanism is better revealed by relationships between network structures. Results We define morphisms (mappings) between reaction networks that establish structural connections between them. Some morphisms imply kinetic similarity, and yet their properties can be checked statically on the structure of the networks. In particular we can determine statically that a complex network will emulate a simpler network: it will reproduce its kinetics for all corresponding choices of reaction rates and initial conditions. We use this property to relate the kinetics of many common biological networks of different sizes, also relating them to a fundamental population algorithm. Conclusions Structural similarity between reaction networks can be revealed by network morphisms, elucidating mechanistic and functional aspects of complex networks in terms of simpler networks. Morphisms (dpeaa)DE-He213 Chemical reaction networks (dpeaa)DE-He213 Influence networks (dpeaa)DE-He213 Biological networks (dpeaa)DE-He213 Enthalten in BMC systems biology London : BioMed Central, 2007 8(2014), 1 vom: 15. Aug. (DE-627)522897126 (DE-600)2265490-2 1752-0509 nnns volume:8 year:2014 number:1 day:15 month:08 https://dx.doi.org/10.1186/1752-0509-8-84 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 8 2014 1 15 08
allfieldsGer	10.1186/1752-0509-8-84 doi (DE-627)SPR028418581 (SPR)1752-0509-8-84-e DE-627 ger DE-627 rakwb eng Cardelli, Luca verfasserin aut Morphisms of reaction networks that couple structure to function 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Cardelli; licensee BioMed Central Ltd. 2014 Background The mechanisms underlying complex biological systems are routinely represented as networks. Network kinetics is widely studied, and so is the connection between network structure and behavior. However, similarity of mechanism is better revealed by relationships between network structures. Results We define morphisms (mappings) between reaction networks that establish structural connections between them. Some morphisms imply kinetic similarity, and yet their properties can be checked statically on the structure of the networks. In particular we can determine statically that a complex network will emulate a simpler network: it will reproduce its kinetics for all corresponding choices of reaction rates and initial conditions. We use this property to relate the kinetics of many common biological networks of different sizes, also relating them to a fundamental population algorithm. Conclusions Structural similarity between reaction networks can be revealed by network morphisms, elucidating mechanistic and functional aspects of complex networks in terms of simpler networks. Morphisms (dpeaa)DE-He213 Chemical reaction networks (dpeaa)DE-He213 Influence networks (dpeaa)DE-He213 Biological networks (dpeaa)DE-He213 Enthalten in BMC systems biology London : BioMed Central, 2007 8(2014), 1 vom: 15. Aug. (DE-627)522897126 (DE-600)2265490-2 1752-0509 nnns volume:8 year:2014 number:1 day:15 month:08 https://dx.doi.org/10.1186/1752-0509-8-84 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 8 2014 1 15 08
allfieldsSound	10.1186/1752-0509-8-84 doi (DE-627)SPR028418581 (SPR)1752-0509-8-84-e DE-627 ger DE-627 rakwb eng Cardelli, Luca verfasserin aut Morphisms of reaction networks that couple structure to function 2014 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Cardelli; licensee BioMed Central Ltd. 2014 Background The mechanisms underlying complex biological systems are routinely represented as networks. Network kinetics is widely studied, and so is the connection between network structure and behavior. However, similarity of mechanism is better revealed by relationships between network structures. Results We define morphisms (mappings) between reaction networks that establish structural connections between them. Some morphisms imply kinetic similarity, and yet their properties can be checked statically on the structure of the networks. In particular we can determine statically that a complex network will emulate a simpler network: it will reproduce its kinetics for all corresponding choices of reaction rates and initial conditions. We use this property to relate the kinetics of many common biological networks of different sizes, also relating them to a fundamental population algorithm. Conclusions Structural similarity between reaction networks can be revealed by network morphisms, elucidating mechanistic and functional aspects of complex networks in terms of simpler networks. Morphisms (dpeaa)DE-He213 Chemical reaction networks (dpeaa)DE-He213 Influence networks (dpeaa)DE-He213 Biological networks (dpeaa)DE-He213 Enthalten in BMC systems biology London : BioMed Central, 2007 8(2014), 1 vom: 15. Aug. (DE-627)522897126 (DE-600)2265490-2 1752-0509 nnns volume:8 year:2014 number:1 day:15 month:08 https://dx.doi.org/10.1186/1752-0509-8-84 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 8 2014 1 15 08
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author	Cardelli, Luca
spellingShingle	Cardelli, Luca misc Morphisms misc Chemical reaction networks misc Influence networks misc Biological networks Morphisms of reaction networks that couple structure to function
authorStr	Cardelli, Luca
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topic_title	Morphisms of reaction networks that couple structure to function Morphisms (dpeaa)DE-He213 Chemical reaction networks (dpeaa)DE-He213 Influence networks (dpeaa)DE-He213 Biological networks (dpeaa)DE-He213
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topic_unstemmed	misc Morphisms misc Chemical reaction networks misc Influence networks misc Biological networks
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title	Morphisms of reaction networks that couple structure to function
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title_full	Morphisms of reaction networks that couple structure to function
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title_sort	morphisms of reaction networks that couple structure to function
title_auth	Morphisms of reaction networks that couple structure to function
abstract	Background The mechanisms underlying complex biological systems are routinely represented as networks. Network kinetics is widely studied, and so is the connection between network structure and behavior. However, similarity of mechanism is better revealed by relationships between network structures. Results We define morphisms (mappings) between reaction networks that establish structural connections between them. Some morphisms imply kinetic similarity, and yet their properties can be checked statically on the structure of the networks. In particular we can determine statically that a complex network will emulate a simpler network: it will reproduce its kinetics for all corresponding choices of reaction rates and initial conditions. We use this property to relate the kinetics of many common biological networks of different sizes, also relating them to a fundamental population algorithm. Conclusions Structural similarity between reaction networks can be revealed by network morphisms, elucidating mechanistic and functional aspects of complex networks in terms of simpler networks. © Cardelli; licensee BioMed Central Ltd. 2014
abstractGer	Background The mechanisms underlying complex biological systems are routinely represented as networks. Network kinetics is widely studied, and so is the connection between network structure and behavior. However, similarity of mechanism is better revealed by relationships between network structures. Results We define morphisms (mappings) between reaction networks that establish structural connections between them. Some morphisms imply kinetic similarity, and yet their properties can be checked statically on the structure of the networks. In particular we can determine statically that a complex network will emulate a simpler network: it will reproduce its kinetics for all corresponding choices of reaction rates and initial conditions. We use this property to relate the kinetics of many common biological networks of different sizes, also relating them to a fundamental population algorithm. Conclusions Structural similarity between reaction networks can be revealed by network morphisms, elucidating mechanistic and functional aspects of complex networks in terms of simpler networks. © Cardelli; licensee BioMed Central Ltd. 2014
abstract_unstemmed	Background The mechanisms underlying complex biological systems are routinely represented as networks. Network kinetics is widely studied, and so is the connection between network structure and behavior. However, similarity of mechanism is better revealed by relationships between network structures. Results We define morphisms (mappings) between reaction networks that establish structural connections between them. Some morphisms imply kinetic similarity, and yet their properties can be checked statically on the structure of the networks. In particular we can determine statically that a complex network will emulate a simpler network: it will reproduce its kinetics for all corresponding choices of reaction rates and initial conditions. We use this property to relate the kinetics of many common biological networks of different sizes, also relating them to a fundamental population algorithm. Conclusions Structural similarity between reaction networks can be revealed by network morphisms, elucidating mechanistic and functional aspects of complex networks in terms of simpler networks. © Cardelli; licensee BioMed Central Ltd. 2014
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title_short	Morphisms of reaction networks that couple structure to function
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