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We model the mean time evolution of n-gene repressilator by the following system of ODEs: where p0 is equivalent to p n.
The trimmed mean time evolution trajectory index is presented for the top three candidate temporal genes in each bone healing system.
To this end, PEDI uses the time series sample average of the mRNA and makes a linear assumption to estimate the mean time evolution of each protein level.
Exploiting the structure commonly found in gene circuit models, this framework decomposes a system of coupled rate equations into individual ones and efficiently integrates them separately to reconstruct the mean time evolution of the gene products.
To estimate the mean time evolution of m i, we once again use the time-integral form in Equation (3) and apply the trapezoidal rule to approximate the integration of the rate equation of.
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The mean time of transplant evolution to the time of reduction was 9.9 ± 11.8 months.
Dissipativity means that the eventual time evolution of solutions is confined to a bounded absorbing set.
We then took the mean of c i (t) over each week and compared the time evolution of this mean channel activity using a Wilcoxon rank sum test in each week.
We describe the corresponding procedure, analyze sensitivity of the method to different uncertainties that are inherent to the corresponding experimental conditions, and compare the dynamics of the mean sarcomere length time evolutions obtained from different methods: the method of current work and two methods based on discrete ACF and Fourier spectrum analysis, respectively.
Open image in new window Figure 2 Time evolution of estimated mean of OH mass fraction.
Open image in new window Figure 5 Time evolution of estimated mean of CO mass fraction.
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average time evolution
mean time trends
represent time evolution
mean time trend
mean time consuming
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mean strain evolution
mean temperature evolution
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averages time evolution
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