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Twenty liver biopsies were carried out on 17 patients in our series (mean evolution time, 11.2 years; range, 3 21 years).
Mean evolution time of the infection at the time of biopsy was established in 16 patients (mean: 11.2 years; range: 3 21 years).
As noticed previously [ 43], it is the minimum rather than the mean evolution time that is important for modeling the dynamics of evolution of genomes consisting of many gene families.
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Mean evolution over time of the biological variables is shown in Fig. 1.
Note the considerably different evolution time scales.
T is the evolution time.
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 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.
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.
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.
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