David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
Acta Biotheoretica 42 (4):245-262 (1994)
Lacker (1981) and Lacker & Akin (1988) developed a mathematical model of follicular maturation and ovulation; this model of only four parameters accounts for a large number of results obtained over the past decade or more on the control of follicular growth and ovulation in mammals. It establishes a single law of maturation for each follicle which describes the interactions between growing follicles. The function put forward is sufficient to explain the constancy of the number of ovulations or large follicles in a female as well as the variability of this number among strains or species and for either induced or spontaneous ovulators. According to the model, the number of ovulations or large follicles lies between two limits that are themselves simple functions of two parameters of the model. Moreover, Lacker's model exhibits interesting characteristics in agreement with results obtained by physiologists: in particular, it predicts that the number of ovulating or large follicles is independent of:1. the total number of maturing follicles, 2. the process of recruitment of newly maturing follicles towards the terminal maturation (Poisson or other), 3. the form of the LH or FSH secretion curves as functions of the systemic level of oestradiol. The model further predicts that 4. selection and dominance of follicles result from the feedback between the ovary and the hypophysis through the interactions between follicles; these interactions are expressed by the maturation function of the model. 5. recovery from atresia is possible for a follicle: from decreasing, the rate of secretion of oestradiol may increase. 6. the revised model suggests a renewal of follicles during the sexual cycle, as waves of follicular growth. Lacker's model is a model of strict dominance; it maintains a hierarchy of the follicles as soon as they start their final maturation to the ovulations as that is observed in bird or reptile ovary. Such a strict hierarchy is possible but it is probably not a general situation in all mammals. We therefore modified the maturing function of the follicle in order to make it compatible with the observations of physiologists: follicles always interact as in the initial model but they individually become old, the hierarchy of follicles can be modified with time and the largest follicles do not indefinitely grow as in the initial model.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
R. Mchich, P. Auger & N. Raïssi (2000). The Dynamics of a Fish Stock Exploited in Two Fishing Zones. Acta Biotheoretica 48 (3-4):207-218.
Sorinel A. Oprisan & Ana Oprisan (2006). A Computational Model of Oncogenesis Using the Systemic Approach. Axiomathes 16 (1-2):155-163.
A. Lasotal, K. Loskot & M. C. Mackey (1991). Stability Properties of Proliferatively Coupled Cell Replication Models. Acta Biotheoretica 39 (1):1-14.
Peter Antonelli & Pierre Auger (1995). Corals and Starfish Devastation of the Great Barrier Reef: Aggregation Methods. Acta Biotheoretica 43 (4):481-493.
J.-C. Poggiale, P. Auger, D. Nérini, C. Manté & F. Gilbert (2005). Global Production Increased by Spatial Heterogeneity in a Population Dynamics Model. Acta Biotheoretica 53 (4):359-370.
Herbert Blau (2009). Performing in the Chaosmos : Farts, Follicles, Mathematics and Delirium in Deleuze. In Laura Cull (ed.), Deleuze and Performance. Edinburgh University Press
Pierre Auger, Peter Dörmer & Joachim W. Ellwart (1992). Growth Factors and Cell Kinetics: A Mathematical Model Applied to Il-3 Deprivation on Leukemic Cell Lines. Acta Biotheoretica 40 (2-3):147-159.
Stanley A. Mulaik (2001). The Curve-Fitting Problem: An Objectivist View. Philosophy of Science 68 (2):218-241.
Lisa Campo-Engelstein & Sarah B. Rodriguez (2011). Two Chicks in a Lab with Eggs. Hastings Center Report 41 (3):21-23.
Added to index2009-01-28
Total downloads9 ( #374,854 of 1,911,611 )
Recent downloads (6 months)2 ( #321,691 of 1,911,611 )
How can I increase my downloads?