World Mental Health Day – The Mathematics of Psychiatry

Mental health is increasingly studied with mathematical tools: network analysis (symptom networks), machine learning (predicting relapse), and time series analysis (mood fluctuations). The ‘bi‑factor model’ of psychopathology uses linear algebra (factor analysis) to identify common causes of mental disorders. Suicide risk prediction uses logistic regression. Mathematics does not replace empathy, but it can identify at‑risk groups and optimise treatment allocation. Data‑driven approaches are transforming psychiatry, for better or worse.