### Abstract

Our approach to the development of an appropriate formalism for organizationally complex systems has been to search for a general formalism that would retain the essential nonlinear features (at least in approximate form) and yet would be amenable to mathematical analysis. The power-law formalism, described in detail elsewhere, leads naturally to a system of nonlinear differential equations, which is called an "S-system" because it captures the saturable and synergistic properties intrinsic to biological and other organizationally complex systems. Some of the advantages of this formalism and its implications for complex systems are discussed. Although the power-law formalism was originally developed as an "approximation", there are now several examples of "exact" representation by S-systems. In fact, a wide range of nonlinear equations can be recast in the form of S-systems. Such recasting and the use of algorithms optimized for S-systems greatly improves the efficiency of solution over that obtainable with conventional algorithms.

Original language | English (US) |
---|---|

Pages (from-to) | 839-844 |

Number of pages | 6 |

Journal | Biomedica Biochimica Acta |

Volume | 44 |

Issue number | 6 |

State | Published - 1985 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Biochemistry

### Cite this

*Biomedica Biochimica Acta*,

*44*(6), 839-844.

**Mathematics of organizationally complex systems.** / Savageau, M. A.

Research output: Contribution to journal › Article

*Biomedica Biochimica Acta*, vol. 44, no. 6, pp. 839-844.

}

TY - JOUR

T1 - Mathematics of organizationally complex systems.

AU - Savageau, M. A.

PY - 1985

Y1 - 1985

N2 - Our approach to the development of an appropriate formalism for organizationally complex systems has been to search for a general formalism that would retain the essential nonlinear features (at least in approximate form) and yet would be amenable to mathematical analysis. The power-law formalism, described in detail elsewhere, leads naturally to a system of nonlinear differential equations, which is called an "S-system" because it captures the saturable and synergistic properties intrinsic to biological and other organizationally complex systems. Some of the advantages of this formalism and its implications for complex systems are discussed. Although the power-law formalism was originally developed as an "approximation", there are now several examples of "exact" representation by S-systems. In fact, a wide range of nonlinear equations can be recast in the form of S-systems. Such recasting and the use of algorithms optimized for S-systems greatly improves the efficiency of solution over that obtainable with conventional algorithms.

AB - Our approach to the development of an appropriate formalism for organizationally complex systems has been to search for a general formalism that would retain the essential nonlinear features (at least in approximate form) and yet would be amenable to mathematical analysis. The power-law formalism, described in detail elsewhere, leads naturally to a system of nonlinear differential equations, which is called an "S-system" because it captures the saturable and synergistic properties intrinsic to biological and other organizationally complex systems. Some of the advantages of this formalism and its implications for complex systems are discussed. Although the power-law formalism was originally developed as an "approximation", there are now several examples of "exact" representation by S-systems. In fact, a wide range of nonlinear equations can be recast in the form of S-systems. Such recasting and the use of algorithms optimized for S-systems greatly improves the efficiency of solution over that obtainable with conventional algorithms.

UR - http://www.scopus.com/inward/record.url?scp=0021777396&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0021777396&partnerID=8YFLogxK

M3 - Article

C2 - 4038284

AN - SCOPUS:0021777396

VL - 44

SP - 839

EP - 844

JO - Biomedica Biochimica Acta

JF - Biomedica Biochimica Acta

SN - 0232-766X

IS - 6

ER -