Univariable associations between ZCTA-level COVID-19 risk and potential predictors in the Greater St. Louis Area, Missouri (USA).

Univariable associations between ZCTA-level COVID-19 risk and potential predictors in the Greater St. Louis Area, Missouri (USA).</p

Model output with constant dose of exogenous hormone.

(black curve) or (full green curve) is the hormone H model output in case of 20 pg/mL per day of exogenous E2 or 1.4 ng/mL per day of exogenous P4 is administered for 28 days, respectively. The stipulated red curve represents the data for the 28-day normal cycle extracted from Welt et al. [15]. The addition of exogenous E2 or P4 reduces the peak of each of the five hormones.</p

S1 Data -

(CSV)</p

Varying dose.

The vertical axes in (A) and (B) present the maximum (full black curve) and minimum (full red curve) values over a 28-day cycle reached by LH and P4, respectively, when the corresponding amount of exogenous E2 is given. Panel (B) is similar to (A) but shows that increasing dosage of causes decreasing amplitude of the variation in P4 level. Anovulation is attained when pg/mL.</p

Maximum progesterone level throughout a menstrual cycle caused by the indicated total dose of the optimal exogenous hormone.

Maximum progesterone level throughout a menstrual cycle caused by the indicated total dose of the optimal exogenous hormone.</p

Supplementary information file.

This file presents the data used in our study, model parameters, standard deviation of model parameters, result of the sensitivity analysis performed on the model, effect of various weights on the optimal control results, optimal control results from different forms of the objective function, and computation time and optimal cost for the optimal control simulations. (PDF)</p

Model diagram.

The diagram (adapted from [13]) shows the 13 states (RPLH, RPFSH, LH, FSH, RcF, GrF, DomF, Sc1, Sc2, Lut1, Lut2, Lut3, Lut4) in the menstrual cycle model. H+ denotes stimulation by hormone H while H− denotes inhibition. The red arrow presents the release of the pituitary hormone from the reserve pool to the blood. The black arrow indicates the influence of the pituitary system on the ovarian system while the orange arrow denotes the ovary’s feedback. The green dashed arrow denotes inhibition of P4 in the RcF stage. The blue arrow describes the transition of a follicle from one ovarian stage to the next. The gold dashed arrow denotes the state contributing to the ovarian hormone production. The pink arrow represents the infusion of exogenous hormone to the ovarian system.</p

Geographically varying coefficients of local geographically weighted negative binomial model of COVID-19 risks in the Greater St. Louis Area, Missouri (USA).

Geographically varying coefficients of local geographically weighted negative binomial model of COVID-19 risks in the Greater St. Louis Area, Missouri (USA).</p

S2 Data -

(XLSX)</p

Results of assessment of stationarity of the coefficients of the predictors of the COVID-19 risks in the Greater St. Louis Area, Missouri.

Results of assessment of stationarity of the coefficients of the predictors of the COVID-19 risks in the Greater St. Louis Area, Missouri.</p