title: Mathematical principles of cell division.
abstract: The report given here is an attempt of the mathematical formulations to solve a problem concerning cell division and the control of mass and volume of the nucleus and cytoplasm. The study of the interaction forces on the nucleus and the vibrational frequencies during cell division are analyzed in detail. Lastly, the vibrations of a cell and the coalescence of the vacuoles inside a living plant cell are discussed theoretically.
mesh_terms: D000818:Animals; D002453:Cell Cycle; D002455:Cell Division; D002467:Cell Nucleus / Q000648:ultrastructure; D003593:Cytoplasm / Q000648:ultrastructure; D004261:DNA Replication; D005057:Eukaryotic Cells; D008433:Mathematics; D059828:Plant Cells; D012270:Ribosomes / Q000378:metabolism; D013312:Stress, Physiological; D014617:Vacuoles; D014732:Vibration