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Patterns in complex systems store hidden information of the system which isneeded to be explored. We present a simple model of cytokine and T-cellsinteraction and studied the model within stochastic framework by constructingMaster equation of the system and solving it. The solved probabilitydistribution function of the model show classical Poisson pattern in the largepopulation limit $M,Z\rightarrow large$ indicating the system has the tendencyto attract a large number small-scale random processes of the cytokinepopulation towards the basin of attraction of the system by segregating fromnonrandom processes. Further, in the large $\langle Z\rangle$ limit, thepattern transform to classical Normal pattern, where, uncorrelated small-scalefluctuations are wiped out to form a regular but memoryless spatiotemporalaggregated pattern. The estimated noise using Fano factor shows clearly thatthe cytokine dynamics is noise induced process driving the system far away fromequilibrium.

Stochastic approach to study the properties of the complex patterns observed in cytokine and T-cells interaction process