Sur l'interprétation de la loi logistique de croissance: Une re-lecture de la relation entre autocatalyse et croissance on the interpretation of the logistic law of growth: A new reading of the relationships between autocatalysis and growth
Acta Biotheoretica 45 (3-4) (1997)
| Abstract | The logistic function now constitutes the most widely used model for there presentation of growth kinetics of the continuous monotonous type in biological systems (populations, organisms, organs, ...). This ubiquity led to consider logistics from a phenomenological rather than mechanistic viewpoint. Whence the question : can logistics be given an interpretation, a signification which confers the rank of an "explicative" model to it? This Note presents some critical comments on the relationships between logistics and three types of biological systems : population demography, environmental resources, autocatalyzed reactions. The so-called functional (in the mathematical meaning) interpretation, which is then discussed, is based upon a variational principle : the occurrence of a minimum of a function associated with the logistic law. Its present limitation to the only simple logistics of Verhulst and the difficulties of its expression in biological terms are then pointed out. | |||||||||
| Keywords | No keywords specified (fix it) | |||||||||
| Categories | ||||||||||
| Options |
|
|||||||||
Download options| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,679 |
| External links |
 |
| Through your library | Configure |
Similar books and articlesWilly Feller (1940). On the Logistic Law of Growth and its Empirical Verifications in Biology. Acta Biotheoretica 5 (2).
Roger Buis, Henri Barthou, Christian Brière & Joëlle Gefflaut (1995). Leaf Dissymmetry and Vein Growth Field. Acta Biotheoretica 43 (1-2).
John N. Phillips (1972). Degrees of Interpretation. Philosophy of Science 39 (3):315-321.
Cécile Lambert, Roger Buis & Marie-Thérèse L'Hardy-Halos (1992). Kinetics of Pleuridial Growth in Antithamnion Plumula (Rhodophyceae). Acta Biotheoretica 40 (2-3).
Gérard Cusset (1991). Les modeLes Sigmoides En Biologie Vegetale. Acta Biotheoretica 39 (3-4).
Roger Buis (1993). Growth Activity and Structure at Various Organization Levels in Plants. Acta Biotheoretica 41 (3).
F. Kozusko & M. Bourdeau (2011). Trans-Theta Logistics: A New Family of Population Growth Sigmoid Functions. Acta Biotheoretica 59 (3):273-289.
Roger Buis (1991). On the Generalization of the Logistic Law of Growth. Acta Biotheoretica 39 (3-4).
Analytics
Monthly downloads
Sorry, there are not enough data points to plot this chart.
|
Added to index2009-01-28Total downloads2 ( #232,501 of 549,088 )Recent downloads (6 months)0How can I increase my downloads? |
My notes
Discussion
