The Open Biology Journal

2019, 7 : 14-20
Published online 2019 May 31. DOI: 10.2174/1874196701907010014
Publisher ID: TOBIOJ-7-14

RESEARCH ARTICLE
Gompertz’ Hazard Law as a Network Principle of Aging

Jakob Korf 1, * and Arthur A. Sas2
1Center of Psychiatry, University of Groningen, UMC Groningen, 9700 RB Groningen, The Netherlands
2Department of Epidemiology, Unit of Genetic Epidemiology and Bioinformatics, University of Groningen, UMC Groningen, The Netherlands

*Address correspondence to this author at the Department of Biological Psychiatry. University of Groningen UMCG, 9700 RB Groningen, The Netherlands; Tel: 031 592 541974; Email: j-korf@home.nl

ABSTRACT

Background:

Life-spanning population survivorship curves (the number of survivors versus age) are conventionally regarded as a demographic issue. Most often, the term hazard, the relative mortality per age-interval, is used as a typical survivorship parameter. Population survivorship curves are construed from cross-sectional data (single event per individual; here, mortality).

Objective:

We tested (quantitatively) how Gompertz’ law describes the mortality pattern of a wide variety of organisms, some of them fed with lifespan affecting diets. Moreover, we tested (semi-quantitatively) whether Gompertz’ law describes the disintegration of a (biological) small-world network.

Methods:

The Gompertz tests, explored in demographic data of humans (male/female) and 4 animal species (mice, honeybees, fruit flies, houseflies), were analyzed with conventional software. The Gompertz law was examined in a small-world network model.

Results:

Gompertz' law applies to all cohorts; thus, with or without exposure to experimental conditions. It describes in all cohorts old-age slowing of mortality. Gompertz’ law is compatible with a gradual and random increase of connections in the network model.

Conclusion:

Old-age deceleration of mortality is a characteristic of many populations. Aging has to be understood as a lifetime increasing of excitatory or, alternatively, of decreasing inhibitory (biological) connections, thereby facilitating pathogenic mechanisms.

Keywords:

Aging, Animal species, Deceleration of mortality, Gompertz’ hazard law, Modeling, Small-world network.