Catastrophe theory model for decelerations of fetal heart rate.
BACKGROUND
Decelerations of fetal heart rate (FHR) are the results of many pathophysiological factors that modulate the intrinsic rate of the heart. FHR change is a complex phenomenon and can be viewed as a type of nonlinear dynamic system. This paper presents a qualitative model of FHR decelerations based on catastrophe theory, especially to account for abrupt heart rate changes seen in variable decelerations.


METHODS
One of the elementary catastrophes, the cusp catastrophe, was used to model FHR changes seen in variable, late, and early decelerations.


RESULTS
Catastrophe theory describes typical variable decelerations as an abrupt response to a slowly changing force of attack (uterine contraction) and physiological defense. Because of its three-dimensionality and topological features, the cusp catastrophe model provides a qualitatively satisfying description of FHR decelerations.


CONCLUSIONS
The organized complexity of living systems offers the best hope for the application of catastrophe theory. The nature of the elementary catastrophes will be essential knowledge in the mathematical analysis of biology.
Kikuchi
Akihiko
A
Department of Obstetrics, Center for Perinatal Medicine, Nagano Children's Hospital, Nagano, Japan. dr-kiku@yj8.so-net.ne.jp
Unno
Nobuya
N
Horikoshi
Tsuguhiro
T
Kozuma
Shiro
S
Taketani
Yuji
Y
D005260:Female; D006340:Heart Rate, Fetal / Q000502:physiology*; D006801:Humans; D008432:Mathematical Computing; D008954:Models, Biological; D017711:Nonlinear Dynamics; D011247:Pregnancy