Process equation as a model for the development of cells

This paper proposes a behavioral model for cells that shows their different dynamics from a high pluripotent stem cell to any distinct cell fate. The proposed model considers a cell as a black-box for a living system and tries to depict the presumed behaviors of the system. The model is a multistabl...

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Bibliographic Details
Published in:The European physical journal. ST, Special topics Special topics, 2020-03, Vol.229 (6-7), p.921-927
Main Authors: Nazarimehr, Fahimeh, Hosseini, Seyedeh Sanaz, Khalaf, Abdul Jalil M., Jafari, Sajad, Sprott, Julien C.
Format: Article
Language:English
Subjects:
Atomic
Attractors (mathematics)
Classical and Continuum Physics
Condensed Matter Physics
Embryos
Initial conditions
Materials Science
Measurement Science and Instrumentation
Molecular
Optical and Plasma Physics
Physics
Physics and Astronomy
Regular Article
Special Chaotic Systems
Stem cells
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Summary:This paper proposes a behavioral model for cells that shows their different dynamics from a high pluripotent stem cell to any distinct cell fate. The proposed model considers a cell as a black-box for a living system and tries to depict the presumed behaviors of the system. The model is a multistable iterated map with sensitive dependence on initial conditions. It indicates various stages of cell evolution in strict order from stem cells in embryos to differentiated cells functioning in an organ. The results show that the dynamical system inters to a situation with an infinite number of coexisting attractors by decreasing the parameter g . In the first stages of division, the system has a more complex dynamic, and so the model has chaotic attractor. Passing the time in the division process results in stronger cell-cell interactions and so the dynamic of the system becomes more ordered and simpler. Finally, at the end of the division process, the system has the simplest dynamic, which is an equilibrium in the model.
ISSN:1951-6355
1951-6401
DOI:10.1140/epjst/e2020-900089-7