Corticotropin-releasing hormone effects on human pregnant vs. nonpregnant myometrium explants estimated from a mathematical model of uterine contraction.

In this paper, we applied a new theoretical model of uterine contraction to a large panel of human pregnant and nonpregnant myometrial strips, treated or not by corticotrophin-releasing hormone (CRH). This model is based on a fine analysis of the contraction curves. This analysis yielded four mathematical parameters (beta, theta, tau 1, and tau 2) related to excitability, duration of plateau phase, and time constants for relaxation describing, respectively, the different portions of the contraction cycle. This leads to specific differences in spontaneous contractile activity between pregnant and nonpregnant states. The relaxing effect of CRH in the pregnant state is presumably correlated with the origin of the strips (the lower uterine segment). Besides our observation of a specific receptor-dependent relaxing effect of CRH in both pregnant and nonpregnant myometrium, we could identify highly significant effects at given CRH concentration for beta in nonpregnant myometrium and for theta, tau 1, and tau 2 in pregnant myometrium. In addition, highly significant differences were found between pregnant and nonpregnant myometrium. Also, we discovered a strong correlation between theta and tau 1, specifically in the pregnant state. Although the biochemical signification of these results remains to be elucidated, they contribute to emphasize the complex network of CRH action at the myometrial level. Furthermore, our approach could pave the way toward a better analysis of the efficacy of the uterine contractile behavior.

A mathematical model for the spontaneous contractions of the isolated uterine smooth muscle from patients receiving progestin treatment.

The in vitro spontaneous contractions of human myometrium samples can be described using a phenomenological model involving different cell states and adjustable parameters. In patients not receiving hormone treatment, the dynamic behavior could be described using a three-state model similar to the one we have already used to explain the oscillations of intrauterine pressure during parturition. However, the shape of the spontaneous contractions of myometrium from patients on progestin treatment was different, due to a two-step relaxation regime including a latched phase which cannot be simulated using the previous model without introducing an ad hoc mechanism to account for the extra energy involved in this sustained contraction. One way to do this is to introduce an anomalous rate of ATP consumption, the biochemical reasons for which have not yet been elucidated and which cannot be mathematically simulated using our experimental data. An alternative explanation is the reduced cycling rate of actin-myosin cross-bridges known to occur during the latch-phase. Our experimental findings suggest a third possibility, namely a sol-gel transition with a specific relaxation time constant, which would maintain a significant part of the cell population in the contracted-state until the intracellular-medium returns to its normal fluid behavior.