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The above equations can be handled by the method of moments. Estimation theory and the mathematical particulars necessary to evaluate this method of moments solution are explained in the supplementary material.
"In these equations, A is a constant that controls the strength of the oscillation in the quantity s(t), and o is the frequency of oscillation. Per our assumptions, of the phase n(t) = at + w(t), the probability distribution in Figure 2(a) for the estimate of n(t) is:
This is an example of a low SNR situation that is used in the analysis of many PLL design questions. "In these operations, f is the frequency to be tracked. A is a constant that determines the strength of the oscillation in the quantity s(t) = A cos(2π√2ft). The probability density function for the estimate, n(t), satisfies:
Several elegant studies have linked activation of autoimmunity with nervous system and nervous system diseases [23,24]. We have observed changes in the serotonergic system in SIV/HIV infected patients and SIV infected animals [25,26]. In this study, we investigated whether SIV infection altered the serotonergic system in the nervous system of the infected animals. 5-HT levels were not different between the ART treated and untreated SIV/HIV infected monkeys, and the levels were not different from the uninfected monkeys. These findings are consistent with recent report that ART did not alter 5-HT levels in HIV infected patients [27]. The results suggest that SIV infection did not alter the serotonergic system, which might explain why 5-HT levels are not altered by SIV infection in the ART treated monkeys who had HIV infection for years with undetectable viral loads. SIV infection might induce neurodegenerative diseases via other pathogenic mechanisms. d2c66b5586