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OCD Therapeutic Dynamics: Markovian Based Simulations

Up to 3 percent of the population suffers from a mental disorder known as Obsessive-Compulsive Disorder(OCD). Although full understanding of this disorder still eludes scientists, there is a general consensus on district methods of treatment including Selective Serotonin Re-uptake Inhibitors, various types of group therapy, and individual therapy. This paper uses finite Continuous Time Markov Chains (CTMC) to model the treatment dynamics of Obsessive-Compulsive individuals. The models proposed herein include factors such as access to group or individual therapy and health insurance constraints, and are modified to include prescribed treatment regimens. Naturally, added realism moves out of the "neatness" inherent in CTMC models. Realistic extensions in the CTMC models are therefore addressed by numerical means (simulations). To minimize time and cost, we establish necessary conditions between the recruitment rate of individual therapy and the recruitment rate for the group therapy. These conditions depend on the magnitude of the recovery rate for group therapy.

  • Poster session award recipient at the 2006 MIE Research Symposium in San Juan, PR
  • Poster session award recipient at the 2006 SACNAS National Convention  in Tampa, FL

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Ricardo Cordero-Sodo, Universidad Metropolitana
Karla Hernandez, Universidad de Colima
Daniel RĂ­os-Doria, CUNY College of Staten Island
Kehinde Salau, St. Mary's College of Maryland
Christopher Kribs Zabeta
David Murillo, Arizona State University