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Table 2 Measures of withdrawal severity for the four alcohol dependence profiles tested

From: A control system analysis of the dynamic response of N-methyl-D-aspartate glutamate receptors to alcoholism and alcohol withdrawal

Alcohol profile

Withdrawal profile

Area under curve

Unblocked max

Equation #15

\( \left\{\begin{array}{c}\hfill t\ge 500\hfill \\ {}\hfill A(t)=0\hfill \end{array}\right\} \)

2893

107.77

A(t) = 0.0025t

\( \left\{\begin{array}{c}\hfill t\ge 500\hfill \\ {}\hfill A(t)=0\hfill \end{array}\right\} \)

2743

107.77

\( \left\{\begin{array}{c}\hfill A\left(t=0\right)=0\hfill \\ {}\hfill Incremental\ increase\ of\hfill \\ {}\hfill 0.125\ every\ 50\ hours\hfill \end{array}\right\} \)

\( \left\{\begin{array}{c}\hfill t\ge 500\hfill \\ {}\hfill A(t)=0\hfill \end{array}\right\} \)

2743

107.77

\( \left\{\begin{array}{c}\hfill p\le 0.1\ A(t)=A\left(t-1\right)+0.1\hfill \\ {}\hfill p>0.1\ A(t)=A\left({t}_{last}\right){e}^{-0.01\Big({t}_{last}-t}\hfill \end{array}\ \right\} \) Where p is a randomly generated probability and t last is the time alcohol was last consumed.

\( \left\{\begin{array}{c}\hfill t\ge 500\hfill \\ {}\hfill A(t)=0\hfill \end{array}\right\} \)

2680

107.77

  1. The corresponding dynamic responses are shown in Figure 4.