### Abstract

An organism persists only if it satisfies internal and external constraints. Within the organism networks of processes meet the constraints. In such networks a principle of matching often obtains: the pattern of coupling among processes matches the correlation among constraints. That is, a module-a cluster of coupled processes-meets a constraint. Dissociable modules meet dissociàble constraints. A hierarchy of modules meets a hierarchy of constraints. We have inquired whether such matching is predicted by an optimality criterion in a simple example. We find that in an ensemble of networks with unreliable processes, the networks that meet the constraints with highest reliability obey the principle of matching. The difference in reliability between modular and nonmodular networks that meet the same constraints is a function of the probability of success per process. Our results suggest that this difference is maximal at a probability of success that increases monotonically with the number of processes in the network.

Original language | English (US) |
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Pages (from-to) | 1-20 |

Number of pages | 20 |

Journal | Bulletin of Mathematical Biology |

Volume | 54 |

Issue number | 1 |

DOIs | |

State | Published - Jan 1992 |

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### ASJC Scopus subject areas

- Neuroscience(all)
- Immunology
- Mathematics(all)
- Biochemistry, Genetics and Molecular Biology(all)
- Environmental Science(all)
- Pharmacology
- Agricultural and Biological Sciences(all)
- Computational Theory and Mathematics

### Cite this

*Bulletin of Mathematical Biology*,

*54*(1), 1-20. https://doi.org/10.1007/BF02458617

**Modularity and reliability in the organization of organisms.** / Clarke, Bertrand S.; Mittenthal, Jay E.

Research output: Contribution to journal › Article

*Bulletin of Mathematical Biology*, vol. 54, no. 1, pp. 1-20. https://doi.org/10.1007/BF02458617

}

TY - JOUR

T1 - Modularity and reliability in the organization of organisms

AU - Clarke, Bertrand S.

AU - Mittenthal, Jay E.

PY - 1992/1

Y1 - 1992/1

N2 - An organism persists only if it satisfies internal and external constraints. Within the organism networks of processes meet the constraints. In such networks a principle of matching often obtains: the pattern of coupling among processes matches the correlation among constraints. That is, a module-a cluster of coupled processes-meets a constraint. Dissociable modules meet dissociàble constraints. A hierarchy of modules meets a hierarchy of constraints. We have inquired whether such matching is predicted by an optimality criterion in a simple example. We find that in an ensemble of networks with unreliable processes, the networks that meet the constraints with highest reliability obey the principle of matching. The difference in reliability between modular and nonmodular networks that meet the same constraints is a function of the probability of success per process. Our results suggest that this difference is maximal at a probability of success that increases monotonically with the number of processes in the network.

AB - An organism persists only if it satisfies internal and external constraints. Within the organism networks of processes meet the constraints. In such networks a principle of matching often obtains: the pattern of coupling among processes matches the correlation among constraints. That is, a module-a cluster of coupled processes-meets a constraint. Dissociable modules meet dissociàble constraints. A hierarchy of modules meets a hierarchy of constraints. We have inquired whether such matching is predicted by an optimality criterion in a simple example. We find that in an ensemble of networks with unreliable processes, the networks that meet the constraints with highest reliability obey the principle of matching. The difference in reliability between modular and nonmodular networks that meet the same constraints is a function of the probability of success per process. Our results suggest that this difference is maximal at a probability of success that increases monotonically with the number of processes in the network.

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UR - http://www.scopus.com/inward/citedby.url?scp=0001154886&partnerID=8YFLogxK

U2 - 10.1007/BF02458617

DO - 10.1007/BF02458617

M3 - Article

C2 - 25665658

AN - SCOPUS:0001154886

VL - 54

SP - 1

EP - 20

JO - Bulletin of Mathematical Biology

JF - Bulletin of Mathematical Biology

SN - 0092-8240

IS - 1

ER -