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Table 2 Nomenclature

From: Applying a general systems theory framework in mental health treatment pathways: the case of the Hellenic Center of Mental Health and Research

Variable

Description

Units

\({y}_{0}\)

Starting of the current timeframe

Week

\({y}_{52}\)

Ending of the previous timeframe

Week

\({t}_{n}, where n=[\mathrm{1,51}]\)

Present timeframe

Week(s)

\({t}_{n-1}\)

time of a previous situation

Week(s)

\(NC({t}_{n})\)

Number of new cases for a given timeframe

Positive Integer

\({P}_{x}, where x=\{i,d,tr,oc\}\)

Population of interest, diagnosed, in-treatment and open-case

Positive integer

\({S}_{{t}_{n}}^{{P}_{x}}, where x=\{i,d,tr,oc\}\)

Status of a population at a timeframe

Positive integer

\({d}_{1}=\{\mathrm{2,3},4\}\)

Transition timeframe of moving from \({P}_{i}\to {P}_{d}\)

Weeks

\({d}_{2}=\{\mathrm{1,2}\}\)

Transition timeframe of moving from \({P}_{d}\to {P}_{tr}\)

Weeks

\({d}_{3}\le 52\)

Transition timeframe of moving from \({P}_{tr}\to {P}_{oc}\)

Weeks