title: [Study of mutual synchronization of self-oscillations of cellular density in skin lesions caused by psoriasis based on paracrine regulation of epidermal proliferation with participation of T-lymphocytes].
abstract: This paper represents the results of research of mutual synchronization of self-oscillations of epidermal cellular density in skin lesions caused by psoriasis under strong limited noise conditions by the method of computing experiment. As an initial model the system of three ordinary nonlinear differential equations, presumably describing principles of paracrine regulation of epidermal proliferation with participation of populations functionally activated by CD4+/CD8+ T-lymphocytes is used. The results of research have shown, that if epidermal proliferation is considered as an attribute determining pathomorphologic features of dermatoses, synchronization can appear to be responsible for development of linear, annular, arcuate, geographical, and also the limited and common forms of disease. It is shown, that strong noise is capable of providing different duration for clinical manifestation of ensembles of synchronously connected lesions of psoriatic skin within several days, as to phase slip - it is up to several tens of days, and distinction of physical parameters - it is from several hours up to about several days.
authors.forename: M V
authors.initials: MV
authors.lastname: Laptev
authors.forename: N K
authors.initials: NK
authors.lastname: Nikulin
mesh_terms: D015496:CD4-Positive T-Lymphocytes / Q000502:physiology; D018414:CD8-Positive T-Lymphocytes / Q000502:physiology; D002450:Cell Communication; D049109:Cell Proliferation; D000078404:Epidermal Cells; D004817:Epidermis / Q000503:physiopathology; D006801:Humans; D015603:Keratinocytes; D008213:Lymphocyte Activation / Q000502:physiology; D008962:Models, Theoretical; D019899:Paracrine Communication / Q000502:physiology; D011565:Psoriasis / Q000503:physiopathology*; D012867:Skin / Q000166:cytology / Q000503:physiopathology