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. 2023 Feb 16;20(4):3525.
doi: 10.3390/ijerph20043525.

A Markov Chain Model for Mental Health Interventions

Affiliations

A Markov Chain Model for Mental Health Interventions

David Claudio et al. Int J Environ Res Public Health. .

Abstract

Poor mental health affects nearly one billion people worldwide and can end in suicide if not treated. Unfortunately, stigma and a lack of mental healthcare providers are barriers to receiving needed care. We developed a Markov chain model to determine whether decreasing stigma or increasing available resources improves mental health outcomes. We mapped potential steps in the mental health care continuum with two discrete outcomes: getting better or committing suicide. Using a Markov chain model, we calculated probabilities of each outcome based on projected increases in seeking help or availability of professional resources. Modeling for a 12% increase in awareness of mental health concerns yielded a 0.39% reduction in suicide. A 12% increase in access to professional help yielded a 0.47% reduction in suicide rate. Our results show that expanding access to professional services has a higher impact on reducing suicide rates than creating awareness. Any intervention towards awareness or access positively impacts reducing suicide rates. However, increased access results in a higher reduction in suicide rates. We have made progress in increasing awareness. Awareness campaigns help to increase recognition of mental health needs. However, focusing efforts on increasing access to care may have a higher impact on reducing suicide rates.

Keywords: Markov chains; absorbing chains; mental health.

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Conflict of interest statement

The authors declare no conflict of interest.

Figures

Figure 1
Figure 1
Flowchart describing how the actions of an individual determine the potential outcomes.
Figure 2
Figure 2
Markov chain for any mental illness with two absorbing states: get better and commit suicide.
Figure 3
Figure 3
Generalized P matrix for any mental illness (AMI).
Figure 4
Figure 4
Canonical form of an absorbing Markov chain probability matrix [21].
Figure 5
Figure 5
Current state Markov chain model for any mental illness. * Statistic obtained directly from the literature; + Calculated from statistics obtained from the literature.
Figure 6
Figure 6
Current state P matrix.
Figure 7
Figure 7
Q matrix (current state).
Figure 8
Figure 8
R matrix (current state).
Figure 9
Figure 9
Fundamental matrix (current state).
Figure 10
Figure 10
Absorbing matrix (current state).
Figure 11
Figure 11
Reductions in suicide rates when increasing awareness, access, and both by 4, 8, and 12%.
Figure 12
Figure 12
Additional improvements in suicide rates for every 4% increase in awareness and/or access.

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