Mathematical Analysis of Patient Screening Results to Predict Preeclampsia
https://doi.org/10.1134/S2304487X20050041
Abstract
The screening of pregnant women in the Moscow region has been performed jointly by mathematicians and doctors to detect prognostic signs of pre-eclampsia, which is a very serious complication of pregnancy, often resulting in the death of the mother and fetus. The mathematical analysis of preliminary experimental data is carried out. As signs (markers) of a possible complication, the angio- and anti-angiogenic proteins PlGF (placental vascular growth factor) and sFlt-1 (a factor inhibiting vascular growth), as well as their ratio, have been considered. Depending on the gestational age, sliding standards have been obtained for patients with a successful pregnancy for each of the factors. The method of logical symptoms has been used to seek prognostic rules. The symptom list contains the concentrations of the indicated proteins in the blood serum and their ratios, expressed on a percentile scale and obtained at different pregnancy periods. A mask of “the class of successful patients versus the class with the most severe form of preeclampsia” has been constructed. The indistinguishability values of logical vectors from the mask have been calculated for each patient. Two boundaries have been obtained for the indistinguishability u. It has been shown that u ≲ 0.348 indicates a risk of developing preeclampsia, and the patients require further monitoring. At u ≲ 0.18, preeclampsia will almost certainly develop.
Keywords
Supporting agencies: The work was supported by the program Increasing the competitiveness of NRNU MEPhI
About the Authors
V. M. Guryeva
Moscow Regional Research Institute of Obstetrics and Gynecology
Russian Federation
Russian Federation
101000
Moscow
Yu. B. Kotov
Keldysh Institute of Applied Mathematics, Russian Academy of Sciences
Russian Federation
Russian Federation
125047
Moscow
M. O. Matveev
Moscow Regional Research Institute of Obstetrics and Gynecology
Russian Federation
Russian Federation
101000
Moscow
T. A. Semenova
National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
Russian Federation
Russian Federation
115409
Moscow
A. A. Travkina
Moscow Regional Research Institute of Obstetrics and Gynecology
Russian Federation
Russian Federation
101000
Moscow
T. S. Budykina
Moscow Regional Research Institute of Obstetrics and Gynecology
Russian Federation
Russian Federation
101000
Moscow
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Review
For citations:
Guryeva V.M., Kotov Yu.B., Matveev M.O., Semenova T.A., Travkina A.A., Budykina T.S. Mathematical Analysis of Patient Screening Results to Predict Preeclampsia. Vestnik natsional'nogo issledovatel'skogo yadernogo universiteta "MIFI". 2020;9(6):567-576. (In Russ.) https://doi.org/10.1134/S2304487X20050041
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