title: On a model of pattern regeneration based on cell memory.
abstract: We present here a new model of the cellular dynamics that enable regeneration of complex biological morphologies. Biological cell structures are considered as an ensemble of mathematical points on the plane. Each cell produces a signal which propagates in space and is received by other cells. The total signal received by each cell forms a signal distribution defined on the cell structure. This distribution characterizes the geometry of the cell structure. If a part of this structure is removed, the remaining cells have two signals. They keep the value of the signal which they had before the amputation (memory), and they receive a new signal produced after the amputation. Regeneration of the cell structure is stimulated by the difference between the old and the new signals. It is stopped when the two signals coincide. The algorithm of regeneration contains certain rules which are essential for its functioning, being the first quantitative model of cellular memory that implements regeneration of complex patterns to a specific target morphology. Correct regeneration depends on the form and the size of the cell structure, as well as on some parameters of regeneration.
authors.affiliation: Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, 199178 Saint Petersburg, Russia.
authors.forename: Nikolai
authors.initials: N
authors.lastname: Bessonov
authors.affiliation: Department of Biology, Tufts Center for Regenerative & Developmental Biology, Tufts University, Medford, MA 02155, USA.
authors.forename: Michael
authors.initials: M
authors.lastname: Levin
authors.affiliation: Laboratoire Epigénétique et Cancer, CNRS FRE 3377, CEA, 91191 Saclay, France; Institut des Hautes Etudes Scientiques, 91440 Bures-sur-Yvette, France.
authors.forename: Nadya
authors.initials: N
authors.lastname: Morozova
authors.affiliation: Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, 199178 Saint Petersburg, Russia.
authors.forename: Natalia
authors.initials: N
authors.lastname: Reinberg
authors.affiliation: Institut des Hautes Etudes Scientiques, 91440 Bures-sur-Yvette, France.
authors.forename: Alen
authors.initials: A
authors.lastname: Tosenberger
authors.affiliation: Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, 69622 Villeurbanne, France.
authors.forename: Vitaly
authors.initials: V
authors.lastname: Volpert
mesh_terms: D008954:Models, Biological; D012038:Regeneration / Q000502:physiology*; D015398:Signal Transduction