Abstract
An output function of any dynamical system is returned in such a way that the fluctuations in the output decrease, and a negative feedback takes place in the system. Stability of any system is usually endorsed by negative feedback approach. Negative feedback control mechanism has a significant effect on the disease dynamics like Psoriasis. With the help of a negative feedback control which is comparable to the introduction of a therapeutic drug regime, a stable control mechanism to the growth of Keratinocytes concentration can be easily furnished. This feedback strategy reduces the functioning response of cytokines and decreases activation and proliferation of Keratinocytes. As a mathematical understanding of this chapter, we have tried to expose the activation of Keratinocyte cells due to T-Cells-mediated cytokines, that is the causal effect of excessive growth of Keratinocyte cell population.
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References
J.S. Griffith, Mathematics of celluar control processes I. Negative feedback to one gene. J. Theor. Biol. 20, 202–208 (1968)
A.S. Perelson, A.U. Neuman, J.M. Leonard, D.D. Ho, HIV 1 dynamics in Vivo: viron clearence rate, infected cell life span and viral generation time. Science 271, 1582–1586 (1996)
P.K. Roy, J. Bhadra, B. Chattopadhyay, Mathematical modeling on immunopathogenesis in chronic plaque of psoriasis: a theoritical study, World Congress Engineering, vol. 1, Lecture Notes in Engineering and Computer Science (2010), pp. 550–555
J.E. Gudjonsson, A. Johnston, H. Sigmundsdottir, H. Valdimarsson, Immunopathogenic mechanisms in psoriasis 135(1), 1–8 (2003)
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Roy, P.K., Datta, A. (2019). Regulating Growth of Keratinocytes through Feedback Mechanism with Delay Effect in Psoriatic System. In: Mathematical Models for Therapeutic Approaches to Control Psoriasis. SpringerBriefs in Applied Sciences and Technology(). Springer, Singapore. https://doi.org/10.1007/978-981-13-9020-3_4
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DOI: https://doi.org/10.1007/978-981-13-9020-3_4
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