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Fig. 7 | Advanced Modeling and Simulation in Engineering Sciences

Fig. 7

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

Fig. 7

Solutions of the concentrations, from top to bottom: \(\mathrm {GLC}\), \(\mathrm {ATP}\), \(\mathrm {ADP}\), \(\mathrm {GLY}\), \(\mathrm {PYR}\) and \(\mathrm {LAC}\), at time \(t=5\) in a circular domain solved with FEM (Left), CutFEM (Center) and CutFEM in a perturbed boundary (Right). The source term of \(\mathrm {GLC}\) is no longer active, and the quantity of \(\mathrm {GLC}\) is spreading through the domain and participating into the reaction \(\mathrm {HXK}\). \(\mathrm {ATP}\) and \(\mathrm {ADP}\) show that in the region where \(\mathrm {HXK}\), \(\mathrm {PYRK}\) and \(\mathrm {act}\) are located, when one is consumed the other is produced. We can notice production of \(\mathrm {GLY}\), \(\mathrm {PYR}\) and \(\mathrm {LAC}\). Comparing the results in the three domain, they are extremely close to each other and visually not distinguishable

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