Evolution of language driven by social dynamics

The survival of endangered languages in complex language competition depends on socio-cultural status and honour endowed (by itself and by the other) among them. The restriction in the endorsement of this honour leads to language extinction of one language, and rise of the other. Endorsing proper mutual honour each other trigger the co-existence of language speakers and can save both languages from extinction. The lost of respect to each other drives the death of both languages. We found a minimal or critical mutual honour (a=0.9635) which protects the two languages from extinction. The increase in mutual honour from this minimal value allows increase in the populations of the two languages speakers. The state of co-existence of competing languages abolishes the concept of minority and majority in language competition which can be obtained by mutual honour. Further, excess biased honour to a particular language (minority or majority) force the language to extinct. In mean-field approximation of language competition, magnetization parameter can be taken as an indicator of survival of a language.Comment: 5 pages, 4 figure

Bifurcation in cell cycle dynamics regulated by p53

We study the regulating mechanism of p53 on the properties of cell cycle dynamics in the light of the proposed model of interacting p53 and cell cycle networks via p53. Irradiation (IR) introduce to p53 compel p53 dynamics to suffer different phases, namely oscillating and oscillation death (stabilized) phases. The IR induced p53 dynamics undergo collapse of oscillation with collapse time \Delta t which depends on IR strength. The stress p53 via IR drive cell cycle molecular species MPF and cyclin dynamics to different states, namely, oscillation death, oscillations of periods, chaotic and sustain oscillation in their bifurcation diagram. We predict that there could be a critical \Delta t_c induced by p53 via IR_c, where, if \Delta t < \Delta t_c the cell cycle may come back to normal state, otherwise it will go to cell cycle arrest (apoptosis)