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Advanced Modeling and Simulation in Engineering Sciences
Fig. 6 | Advanced Modeling and Simulation in Engineering Sciences

Fig. 6

From: A cut finite element method for spatially resolved energy metabolism models in complex neuro-cell morphologies with minimal remeshing

Fig. 6

a The chosen location of the chemical reactions Eqs. (1)–(5) and of the influx of \(\mathrm {GLC}\) are shown to compare FEM and CutFEMresults in a circular domain. b In the y-axis is plot the integral over the domain at each time step using Eq. (23), giving us the average concentration, of CutFEM and FEM in a circular domain and CutFEM solved in a circular domain with perturbed boundary. The average concentration of each species of FEM (blue line) and CutFEM (red line) are equivalent while the CutFEM solutions of the perturbed domain (black line) share the same results for concentrations \(\mathrm {ATP}\), \(\mathrm {GLY}\), \(\mathrm {PYR}\), \(\mathrm {LAC}\) and differs but show the same trend for \(\mathrm {GLC}\) and \(\mathrm {ADP}\)

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