From energy to cellular forces in the Cellular Potts Model: An algorithmic approach.
Single and collective cell dynamics, cell shape changes, and cell migration can be conveniently represented by the Cellular Potts Model, a computational platform based on minimization of a Hamiltonian. Using the fact that a force field is easily derived from a scalar energy (F = -∇H), we develop a s...
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| Format: | Article |
| Language: | English |
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Public Library of Science (PLoS)
2019-12-01
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| Series: | PLoS Computational Biology |
| Online Access: | https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1007459&type=printable |
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| author | Elisabeth G Rens Leah Edelstein-Keshet |
| author_facet | Elisabeth G Rens Leah Edelstein-Keshet |
| author_sort | Elisabeth G Rens |
| collection | DOAJ |
| description | Single and collective cell dynamics, cell shape changes, and cell migration can be conveniently represented by the Cellular Potts Model, a computational platform based on minimization of a Hamiltonian. Using the fact that a force field is easily derived from a scalar energy (F = -∇H), we develop a simple algorithm to associate effective forces with cell shapes in the CPM. We predict the traction forces exerted by single cells of various shapes and sizes on a 2D substrate. While CPM forces are specified directly from the Hamiltonian on the cell perimeter, we approximate the force field inside the cell domain using interpolation, and refine the results with smoothing. Predicted forces compare favorably with experimentally measured cellular traction forces. We show that a CPM model with internal signaling (such as Rho-GTPase-related contractility) can be associated with retraction-protrusion forces that accompany cell shape changes and migration. We adapt the computations to multicellular systems, showing, for example, the forces that a pair of swirling cells exert on one another, demonstrating that our algorithm works equally well for interacting cells. Finally, we show forces exerted by cells on one another in classic cell-sorting experiments. |
| format | Article |
| id | doaj-art-d5e6f1d111bc4273b20d27974db71635 |
| institution | OA Journals |
| issn | 1553-734X 1553-7358 |
| language | English |
| publishDate | 2019-12-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS Computational Biology |
| spelling | doaj-art-d5e6f1d111bc4273b20d27974db716352025-08-20T02:00:38ZengPublic Library of Science (PLoS)PLoS Computational Biology1553-734X1553-73582019-12-011512e100745910.1371/journal.pcbi.1007459From energy to cellular forces in the Cellular Potts Model: An algorithmic approach.Elisabeth G RensLeah Edelstein-KeshetSingle and collective cell dynamics, cell shape changes, and cell migration can be conveniently represented by the Cellular Potts Model, a computational platform based on minimization of a Hamiltonian. Using the fact that a force field is easily derived from a scalar energy (F = -∇H), we develop a simple algorithm to associate effective forces with cell shapes in the CPM. We predict the traction forces exerted by single cells of various shapes and sizes on a 2D substrate. While CPM forces are specified directly from the Hamiltonian on the cell perimeter, we approximate the force field inside the cell domain using interpolation, and refine the results with smoothing. Predicted forces compare favorably with experimentally measured cellular traction forces. We show that a CPM model with internal signaling (such as Rho-GTPase-related contractility) can be associated with retraction-protrusion forces that accompany cell shape changes and migration. We adapt the computations to multicellular systems, showing, for example, the forces that a pair of swirling cells exert on one another, demonstrating that our algorithm works equally well for interacting cells. Finally, we show forces exerted by cells on one another in classic cell-sorting experiments.https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1007459&type=printable |
| spellingShingle | Elisabeth G Rens Leah Edelstein-Keshet From energy to cellular forces in the Cellular Potts Model: An algorithmic approach. PLoS Computational Biology |
| title | From energy to cellular forces in the Cellular Potts Model: An algorithmic approach. |
| title_full | From energy to cellular forces in the Cellular Potts Model: An algorithmic approach. |
| title_fullStr | From energy to cellular forces in the Cellular Potts Model: An algorithmic approach. |
| title_full_unstemmed | From energy to cellular forces in the Cellular Potts Model: An algorithmic approach. |
| title_short | From energy to cellular forces in the Cellular Potts Model: An algorithmic approach. |
| title_sort | from energy to cellular forces in the cellular potts model an algorithmic approach |
| url | https://journals.plos.org/ploscompbiol/article/file?id=10.1371/journal.pcbi.1007459&type=printable |
| work_keys_str_mv | AT elisabethgrens fromenergytocellularforcesinthecellularpottsmodelanalgorithmicapproach AT leahedelsteinkeshet fromenergytocellularforcesinthecellularpottsmodelanalgorithmicapproach |