Related Experiment Video
Updated: Aug 4, 2025

A 3D Spheroid Model as a More Physiological System for Cancer-Associated Fibroblasts Differentiation and Invasion In Vitro Studies
Published on: August 8, 2019
The three-dimensionality of the hiPSC-CM spheroid contributes to the variability of the field potential
Minki Hwang1, Su-Jin Lee2, Chul-Hyun Lim1
1AI Medic, Inc., Seoul, Republic of Korea.
Insights
Three-dimensional computational models of human induced pluripotent stem cell-derived cardiomyocyte spheroids accurately simulate field potential signals, aiding drug safety testing by complementing in vitro data.
Area of Science:
- Computational biology
- Cardiovascular research
- Pharmacology
Background:
- Field potential (FP) signals from human induced pluripotent stem cell-derived cardiomyocyte (hiPSC-CM) spheroids differ from action potential (AP) signals and require multi-electrode array (MEA) expertise for drug safety testing.
- Existing methods for preclinical drug safety assessment using hiPSC-CM spheroids present challenges in signal interpretation.
Purpose of the Study:
- To develop and validate three-dimensional (3-D) in silico models of hiPSC-CM spheroids for simulating field potential (FP) measurements.
- To compare in silico simulation results with in vitro experimental data, specifically under the influence of drugs E-4031 and nifedipine.
Main Methods:
- Construction of 3-D in silico models of hiPSC-CM spheroids in spherical and discoidal shapes with tetrahedral meshes.
- Numerical solution of the monodomain reaction-diffusion equation to simulate action potential propagation.
- Calculation of extracellular potentials and FPs using an electrical electrode model, with drug effects simulated by matching in vitro data.
Main Results:
- Simulated FPs from 3-D hiPSC-CM spheroid models showed high variability in shape, dependent on stimulation and measurement locations, mirroring in vitro observations.
- Calculated IC50 values for E-4031 and nifedipine, derived from matching simulated FP durations with experimental data, aligned with literature values.
Conclusions:
- The developed 3-D in silico models successfully generated variable FPs consistent with in vitro experimental findings.
- These computational models offer a valuable tool to aid in the interpretation of FP signals obtained from in vitro hiPSC-CM spheroid experiments.
Abstract:
Background: Field potential (FP) signals from human induced pluripotent stem cell-derived cardiomyocyte (hiPSC-CM) spheroid which are used for drug safety tests in the preclinical stage are different from action potential (AP) signals and require working knowledge of the multi-electrode array (MEA) system. In this study, we developed in silico three-dimensional (3-D) models of hiPSC-CM spheroids for the simulation of field potential measurement. We compared our model simulation results against in vitro experimental data under the effect of drugs E-4031 and nifedipine. Methods: In silico 3-D models of hiPSC-CM spheroids were constructed in spherical and discoidal shapes. Tetrahedral meshes were generated inside the models, and the propagation of the action potential in the model was obtained by numerically solving the monodomain reaction-diffusion equation. An electrical model of electrode was constructed and FPs were calculated using the extracellular potentials from the AP propagations. The effects of drugs were simulated by matching the simulation results with in vitro experimental data. Results: The simulated FPs from the 3-D models of hiPSC-CM spheroids exhibited highly variable shapes depending on the stimulation and measurement locations. The values of the IC50 of E-4031 and nifedipine calculated by matching the simulated FP durations with in vitro experimental data were in line with the experimentally measured ones reported in the literature. Conclusion: The 3-D in silico models of hiPSC-CM spheroids generated highly variable FPs similar to those observed in in vitro experiments. The in silico model has the potential to complement the interpretation of the FP signals obtained from in vitro experiments.
Related Concept Videos
Gauss's Law: Spherical Symmetry
Spherical and Cylindrical Capacitor
Conventionally, considering the symmetry, the electric field between the concentric shells of a spherical capacitor is directed radially outward. The magnitude of the field,...
Calculations of Electric Potential I
The ring is divided into infinitesimal small arcs such that point M is equidistant from all the arcs. Here, the cylindrical coordinate system is used to calculate the electric potential at point M. A general element of the arc between angles θ and θ + dθ is of the...
Gauss's Law: Cylindrical Symmetry

