Geodesic
Coalescing stochastic processes in retrival from semantic memory
Mathematica Applicanda, Tome 43 (2015) no. 2, pp. 187-224.

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Semantic memory retrieval is one of the most fundamental cognitive functions in humans. It is not fully understood and researchers from various fields of science struggle to find a model that would correlate well with experimental results and help understanding the complex background processes involved. To study such a phenomenon we need a relevant experimental protocol which can isolate the basic cognitive functions of interest from other perturbations. A variety of existing medical tests can provide such information, and the one we analyze is the Category Fluency Test (CFT). It was originally designed to measure frontal brain lobe damages in injured patients, and it tests directly the semantic memory retrieval, which is affected in cases of injury but can be also influenced by dementia, Alzheimer syndrome, or just aging. This paper introduces a new paradigm in analysis of the temporal structure of CFT responses by utilizing coalescent stochastic process model. We believe that this particular model is relevant to how this cognitive function operates and can lead to a better understanding of the background processes. The method turns out to be better at separating the two cognitively different groups studied here than the Weibull model from our previous paper Meyer et al.(2012), and could potentially be used for early diagnostics of dementia or Alzheimer's disease. Two other models, one based on the concept of Levy processes, and one related to the fractional Poisson model, are also explored.
DOI : 10.14708/ma.v43i2.821
Classification : 60G51,60G22
Mots-clés : Coalescent stochastic process, Kingman coalescent, Category Fluency Test, semantic memory, cognitive impairment, Alzheimer's disease, Levy process, fractional Poisson process 
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Pierre-Yves Queau; Wojbor A. Woyczyński; Alan J. Lerner. Coalescing stochastic processes in retrival from semantic memory. Mathematica Applicanda, Tome 43 (2015) no. 2, pp.  187-224. doi : 10.14708/ma.v43i2.821. http://geodesic.mathdoc.fr/articles/10.14708/ma.v43i2.821/

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