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The optimized formulation was identified and validated for its performance by using numerical optimization technique.
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By analyzing the response surface plots and using numerical optimization method, the optimal levels for concentration of xylan and olive oil, agitation speed and inoculum age were determined as 0.37%, 33.10 mg/L, 42.87 RPM and 21.05 h, respectively.
The first option is using numerical optimization.
The corresponding bound (widehat {sigma }_^{k}) can be obtained using numerical optimization.
Here, a method to correct this problem is developed that obtains maximum-likelihood estimates of the unascertained allele frequency distribution using numerical optimization.
To obtain maximum likelihood estimates of the regression parameters, we maximize equation (6) using numerical optimization techniques.
The optimum conditions for the three variables were obtained using numerical optimization feature of Design-Expert 8.0.7.1.
The fermentation conditions to obtain maximum PUFA production from BRI 35 were predicted using numerical optimization in the software.
Some progress has been made in applying similar variational principles to biological problems, usually in the framework of optimal control theory using numerical optimizations (for example, [ 21, 32]).
The biodegradation experiments were finally validated using numerical optimizations.
We then used numerical optimization to find the optimal NWD for various prevalence values.
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