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The purpose of this study is to repeat the regularity analysis including second-generation antipsychotics as well as traditional mood stabilizers.
Methods for carrying out this regularity analysis for linear systems, have been devised and the response of integrate and fire neurons (with linear accumulation) to a cyclic input has been analyzed [SIAM J. Appl. Math. 41 (3) (1981) 503].
Using qualitative analysis we prove theorems on which we base a new method of regularity analysis of the firing map, that, contrasting with methods previously reported in the literature, does not requires analytic knowledge of the solutions of the differential equation and therefore it is also applicable to non-linear integrate and fire systems.
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The new thinking related to empirical regularities analysis, experimental design, and longitudinal empirical research further suggests that these approaches can be tailored for rapid acquisition of big data sets.
This paper acquires material ageing regularity by theoretical analysis and experimental confirmation.
The main difficulty in proving (C^{1,1}) regularity is the analysis of points where the gradient of the function vanishes.
If the coefficients are Hölder continuous, the ACF method does not directly apply and under the stronger assumption that (inf lambda _1>0) and (inf -lambda _2>0), Edquist, Lindgren, Shahgholian [12] obtained the (C^{1,1}) regularity via an analysis of blow-up limits and a classification of global solutions (see also [12, Remark 1.3]).
No other medications (e.g., antihistamines, analgesics, antihypertensives) were used with a frequency or regularity that permitted analysis or modeling and were considered essentially as part of the inherent variability in any human study.
To verify that the above ingredients imply (C^{1,1}) regularity, we split the analysis into two cases.
The analysis of regularity in daily medication dosage was described previously (Bauer et al. 2013b) and is summarized here.
Thirty-six of the 144 patients were not included in our prior analysis of regularity in daily mood stabilizer dosage (Bauer et al. 2013b).
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