Synchronization of oscillations of proliferation of keratinocytes in psoriatic skin by external periodic force: A mathematical model Export

@article{citeulike:2271613, abstract = {A mathematical model of mitotic activity of epidermis in normal skin and skin afflicted with psoriasis is presented as a system of two autonomous nonlinear differential equations. Its qualitative analysis was carried out and numerical solutions were obtained at the parameter values corresponding to these states. It was shown that in the norm, a single stable equilibrium of a "focus" type exists in the system; whereas in psoriasis, owing to an increase in the growing fraction, hyperproliferation, and enhanced migration of interacting keratinocytes, a stable limit cycle arises from the state of unstable focus. In this paper we also report on the results of computer modeling of synchronization of self-excited oscillations of keratinocyte population density in psoriatic lesions by an external periodic force. This synchronization is viewed as a possible mechanism of the clinically observed dependence of psoriasis course on some natural factors of cyclic nature.}, author = {Laptev, M. V. and Nikulin, N. K.}, citeulike-article-id = {2271613}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/j.jtbi.2005.02.002}, citeulike-linkout-1 = {http://www.sciencedirect.com/science/article/B6WMD-4FS23KJ-2/2/34e13ae9ae2f5075f8f5a800e601365b}, day = {21}, doi = {10.1016/j.jtbi.2005.02.002}, journal = {Journal of Theoretical Biology}, keywords = {synchronization}, month = {August}, number = {4}, pages = {485--494}, posted-at = {2008-01-22 05:20:25}, priority = {2}, title = {Synchronization of oscillations of proliferation of keratinocytes in psoriatic skin by external periodic force: A mathematical model}, url = {http://dx.doi.org/10.1016/j.jtbi.2005.02.002}, volume = {235}, year = {2005} }

TY - JOUR ID - citeulike:2271613 L3 - citeulike-article-id:2271613 N2 - A mathematical model of mitotic activity of epidermis in normal skin and skin afflicted with psoriasis is presented as a system of two autonomous nonlinear differential equations. Its qualitative analysis was carried out and numerical solutions were obtained at the parameter values corresponding to these states. It was shown that in the norm, a single stable equilibrium of a "focus" type exists in the system; whereas in psoriasis, owing to an increase in the growing fraction, hyperproliferation, and enhanced migration of interacting keratinocytes, a stable limit cycle arises from the state of unstable focus. In this paper we also report on the results of computer modeling of synchronization of self-excited oscillations of keratinocyte population density in psoriatic lesions by an external periodic force. This synchronization is viewed as a possible mechanism of the clinically observed dependence of psoriasis course on some natural factors of cyclic nature. IS - 4 JF - Journal of Theoretical Biology EP - 494 TI - Synchronization of oscillations of proliferation of keratinocytes in psoriatic skin by external periodic force: A mathematical model VL - 235 SP - 485 KW - synchronization AU - Laptev, MV AU - Nikulin, NK PY - 2005/08/21/ UR - http://dx.doi.org/10.1016/j.jtbi.2005.02.002 ER -