Modeling endocrine regulation of the menstrual cycle using delay differential equations.

摘要: Abstract This article reviews an effective mathematical procedure for modeling hormonal regulation of the menstrual cycle adult women. The captures effects hormones secreted by several glands over multiple time scales. specific model described here consists 13 nonlinear, delay, differential equations with 44 parameters and correctly predicts blood levels ovarian pituitary found in biological literature normally cycling In addition to this normal cycle, exhibits another stable which may describe a biologically feasible “abnormal” condition such as polycystic syndrome. Model simulations illustrate how one can be perturbed other cycle. Perturbations due exogenous administration each hormone are examined. used test therapies on abnormally women well compounds Sensitive identified bifurcations behavior respect parameter changes discussed. Modeling various aspects should helpful predicting successful therapies, studying phenomenon synchronization understanding many factors affecting aging female reproductive endocrine system.