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Equations of motion are developed using the appropriate boundary conditions and then solved exactly.
The solution is obtained using the appropriate boundary conditions at the ionosphere.
This way four ordinary differential equations were solved simultaneously using the appropriate boundary conditions as given in Eq. 19 through Eq. 22.
Equations 13 and 14 are the first-order ordinary differential equations and can be simultaneously solved using the appropriate boundary conditions as given in Eqs. 15 and 16 to obtain the concentration profiles for both the continuous and dispersed phases.
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Maximal aldosterone production was used as the cellular objective function v obj and a minimal medium composition containing glucose and glycerol, as well as a collection of amino acids and fatty acids, was implemented using the appropriate boundaries on the their respective exchange reactions (for further details see Materials and Methods and Supporting Information Additional file 1: Text S1).
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Pre-processing software is used to create the model, generate an appropriate finite element grid, apply the appropriate boundary conditions, and view the total model.
The equations of the piezoelectric bimorph are obtained by using variational formulation involving the appropriate boundary and continuity conditions.
At the second stage we apply the principles of the alternating Schwarz method to the hybrid model by using the interface conditions to define the appropriate boundary conditions and volume constraints exchanged between the PNP and the cDFT subdomains.
Standard numerical methods are then used to solve the equations with the appropriate boundary conditions, which are determined from these inter-region matching conditions.
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