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The Thomas model parameters (k Th, q Th) can be assigned from the plot of C e/C 0 against t using nonlinear regression analysis (Thomas 1944).

The Marquardt inversion method (formulated in the space of the model parameters themselves (h, k, a, and θ)) produced negative values to the inverse model parameters k and h (which are positive real numbers in theory) when applied to the same SP data using "Initial guess 2".

The importance of the model parameters k (and h to a lesser degree, Figure 2) in constraining network changes may shed light on the rate of turnover of sex determination systems.

The ANOVA analysis showed that there were clear differences in model parameters (k and R 1) among the three forest soils (Figs. 3 and 4).

Using the measured activity in the ROI (C M (t)) and in blood (C B (t)), least square estimation of the five model parameters (K 1, k 2, k 3, V A, V B ) leads to problems of numerical unidentifiability.

Four model parameters (K d for three tissues and N bc ) were determined through a trial-and-error process that adjusted the parameter values to match the model to experimental data (Figs. 6, and 7; Table  3).

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Since the likelihood for model parameter k = 2 was much higher than k = 1 and comparable with k = 3 or higher, we chose k = 2 and generated a Q matrix from 75 SNPs.

STRUCTURE analysis with 134 SSR molecular markers showed that the log-likelihood increased with the increase of the model parameter K, so a suitable number of K could not be determined.

The variation in the response of signaling molecules/steps, x i (t), was analyzed when a small variation of each model parameter k j was applied.

For each fixed dose of tamoxifen, for each model parameter K j, we calculated the PRCC index, that represents a standardized sensitivity metric of correlation between the value of the model readout (pˉ ) and model parameter K j.To reduce the influence of nonlinearity, the correlation was calculated based upon ranks rather than absolute values.

Then, by providing a mathematic model of suitability parameters k, V A, and V TH, a complete mathematical model is presented.

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