Skip to main content
Advanced Modeling and Simulation in Engineering Sciences
Fig. 5 | Advanced Modeling and Simulation in Engineering Sciences

Fig. 5

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

Fig. 5

a The locations of the chemical reactions Eqs. (1)–(5) and the influx of \(\mathrm {GLC}\) are shown in the circular domain in order to prove the convergence of the PDEs solutions to the ODEs. Note, the chemical reactions \(\mathrm {LDH}\) Eq. (3) and \(\mathrm {Mito}\) Eq. (4) have been placed in the same location. b The solutions of the PDEs obtained using CutFEM and integrated over the domain (red line) are plot in comparison with the asymptotic solutions of the ODEs for each concentration (blue line) and with the ODEs solved using scipy. The convergence of the PDEs to the ODEs solutions is reached for \(t>200\)

Back to article page