David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Acta Biotheoretica 48 (2):95-105 (2000)
We have developed a simple mathematical model with three physiologically significant states to describe the changes in intrauterine pressure associated with a contraction during human parturition. The myometrium is modelled as a set of smooth muscle cells, each of which is in one of three states (quiescent, contracted, refractory) at a given time. These states are occupied according to a cycle governed by three temporal parameters. The solutions of the equations describing the model show an oscillatory behavior for particular values of these parameters, which is very similar to the time dependant development of intrauterine pressure during labor. Due to its non-linear terms, our model could lead to chaotic oscillations (in the mathematical sense), whose clinical counterpart may occur in cases of dystocia. Despite its simplicity, this model appears to be a useful guide to further investigations of the oscillatory behavior of the myometrium, or other smooth muscles, in normal and pathological situations.
|Keywords||Philosophy Philosophy of Biology Evolutionary Biology|
|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
Michael J. White (1992). The Continuous and the Discrete: Ancient Physical Theories From a Contemporary Perspective. Oxford University Press.
Michael Heidelberger (2006). Applying Models in Fluid Dynamics. International Studies in the Philosophy of Science 20 (1):49 – 67.
Etienne Roux, Penelope J. Noble, Jean-Marc Hyvelin & Denis Noble (2001). Modelling of Ca2+-Activated Chloride Current in Tracheal Smooth Muscle Cells. Acta Biotheoretica 49 (4):291-300.
Brian Hill (2008). Towards a “Sophisticated” Model of Belief Dynamics. Part I: The General Framework. Studia Logica 89 (1):81 - 109.
E. Bernard-Weil, F. Mikol, M. F. Monge-Strauss & P. Jung (1999). As Well as Physiological States, Pathological States and Therapeutical Problems May Be a Gushing Spring for Biological Theory - and Conversely. Acta Biotheoretica 47 (3-4):281-307.
S. Khirani, L. Biot, A. Eberhard & P. Baconnier (2001). Positive End Expiratory Pressure and Expiratory Flow Limitation: A Model Study. Acta Biotheoretica 49 (4):277-290.
F. Talin, C. Tolla, C. Rabouille & J. C. Poggiale (2003). Relations Between Bacterial Biomass and Carbon Cycle in Marine Sediments: An Early Diagenetic Model. Acta Biotheoretica 51 (4):295-315.
Valère Calaud & Yvan Lagadeuc (2005). Structural Stability of a Stage Structured Model of Fish: The Case of the Anchovy (Engraulis Encrasicolus L.) in the Bay of Biscay. Acta Biotheoretica 53 (4):341-358.
Christian Brière (1994). Dynamics of the Goodwin-Trainor Mechanochemical Model. Acta Biotheoretica 42 (2-3):137-146.
Christian Vauge, Thérèse-Marie Mignot, Brigitte Paris, Michelle Breuiller-Fouché, Charles Chapron, Michel Attoui & Françoise Ferré (2003). A Mathematical Model for the Spontaneous Contractions of the Isolated Uterine Smooth Muscle From Patients Receiving Progestin Treatment. Acta Biotheoretica 51 (1):19-34.
Added to index2009-01-28
Total downloads5 ( #359,367 of 1,725,237 )
Recent downloads (6 months)4 ( #167,147 of 1,725,237 )
How can I increase my downloads?