Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 

 

Dynamic modeling of behavior change


Authors: H. T. Banks, Keri L. Rehm, Karyn L. Sutton, Christine Davis, Lisa Hail, Alexis Kuerbis and Jon Morgenstern
Journal: Quart. Appl. Math. 72 (2014), 209-251
MSC (2010): Primary 91E10, 34K29, 62G10
DOI: https://doi.org/10.1090/S0033-569X-2014-01296-3
Published electronically: February 10, 2014
MathSciNet review: 3186233
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Abstract: We consider a conceptual and quantitative modeling approach for investigating dynamic behavior change. While the approach is applicable to behavior change in eating disorders, smoking, substance abuse and other behavioral disorders, here we present our novel dynamical systems modeling approach to understand the processes governing an individual's behavior in the context of problem drinking. Recent advances in technology have resulted in large intensive longitudinal data sets which are particularly well suited for study within such frameworks. However, the lack of previous work in this area (specifically, on the inter- and intra-personal factors governing the drinking behavior of individuals) renders this a daunting and unique challenge. As a result, issues which are typically routine in mathematical modeling require considerable effort such as the determination of key quantities of interest, and the timescale on which to represent them. We discuss the construction of an initial mathematical model for two starkly distinct individuals and make a case for the potential for such efforts to help in understanding the underlying mechanisms responsible for behavior change in problem drinkers.


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Additional Information

H. T. Banks
Address at time of publication: Center for Research in Scientific Computation, Center for Quantitative Science in Biomedicine, North Carolina State University, Raleigh, North Carolina 27695-8212

Keri L. Rehm
Address at time of publication: Center for Research in Scientific Computation, Center for Quantitative Science in Biomedicine, North Carolina State University, Raleigh, North Carolina 27695-8212

Karyn L. Sutton
Address at time of publication: Center for Research in Scientific Computation, Center for Quantitative Science in Biomedicine, North Carolina State University, Raleigh, North Carolina 27695-8212

Christine Davis
Address at time of publication: Substance Abuse Services, Department of Psychiatry, Columbia University Medical Center, 180 Fort Washington Avenue HP-240, New York, New York 10032

Lisa Hail
Address at time of publication: Substance Abuse Services, Department of Psychiatry, Columbia University Medical Center, 180 Fort Washington Avenue HP-240, New York, New York 10032

Alexis Kuerbis
Address at time of publication: Substance Abuse Services, Department of Psychiatry, Columbia University Medical Center, 180 Fort Washington Avenue HP-240, New York, New York 10032

Jon Morgenstern
Address at time of publication: Substance Abuse Services, Department of Psychiatry, Columbia University Medical Center, 180 Fort Washington Avenue HP-240, New York, New York 10032

DOI: https://doi.org/10.1090/S0033-569X-2014-01296-3
Keywords: Mathematical psychology, inverse problems, delay differential equations, behavior change, model comparison
Received by editor(s): October 25, 2011
Published electronically: February 10, 2014
Article copyright: © Copyright 2014 Brown University
The copyright for this article reverts to public domain 28 years after publication.


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