A Mechanistic, Stochastic Model Helps Understand Multiple Sclerosis Course and Pathogenesis

Heritable and nonheritable factors play a role in multiple sclerosis, but their effect size appears too small, explaining relatively little about disease etiology. Assuming that the factors that trigger the onset of the disease are, to some extent, also those that generate its remissions and relapse...

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Main Authors: Isabella Bordi, Renato Umeton, Vito A. G. Ricigliano, Viviana Annibali, Rosella Mechelli, Giovanni Ristori, Francesca Grassi, Marco Salvetti, Alfonso Sutera
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:International Journal of Genomics
Online Access:http://dx.doi.org/10.1155/2013/910321
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author Isabella Bordi
Renato Umeton
Vito A. G. Ricigliano
Viviana Annibali
Rosella Mechelli
Giovanni Ristori
Francesca Grassi
Marco Salvetti
Alfonso Sutera
author_facet Isabella Bordi
Renato Umeton
Vito A. G. Ricigliano
Viviana Annibali
Rosella Mechelli
Giovanni Ristori
Francesca Grassi
Marco Salvetti
Alfonso Sutera
author_sort Isabella Bordi
collection DOAJ
description Heritable and nonheritable factors play a role in multiple sclerosis, but their effect size appears too small, explaining relatively little about disease etiology. Assuming that the factors that trigger the onset of the disease are, to some extent, also those that generate its remissions and relapses, we attempted to model the erratic behaviour of the disease course as observed on a dataset containing the time series of relapses and remissions of 70 patients free of disease-modifying therapies. We show that relapses and remissions follow exponential decaying distributions, excluding periodic recurrences and confirming that relapses manifest randomly in time. It is found that a mechanistic model with a random forcing describes in a satisfactory manner the occurrence of relapses and remissions, and the differences in the length of time spent in each one of the two states. This model may describe how interactions between “soft” etiologic factors occasionally reach the disease threshold thanks to comparably small external random perturbations. The model offers a new context to rethink key problems such as “missing heritability” and “hidden environmental structure” in the etiology of complex traits.
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spelling doaj-art-7c6876a8adc0411b8e3936b3cc4ed0a12025-02-03T05:58:18ZengWileyInternational Journal of Genomics2314-436X2314-43782013-01-01201310.1155/2013/910321910321A Mechanistic, Stochastic Model Helps Understand Multiple Sclerosis Course and PathogenesisIsabella Bordi0Renato Umeton1Vito A. G. Ricigliano2Viviana Annibali3Rosella Mechelli4Giovanni Ristori5Francesca Grassi6Marco Salvetti7Alfonso Sutera8Department of Physics, Sapienza University of Rome, Piazzale Aldo Moro 2, 00185 Rome, ItalyCentre for Experimental Neurological Therapies (CENTERS), Neurology and Department of Neurosciences, Mental Health and Sensory Organs, S. Andrea Hospital, Sapienza University of Rome, via di Grottarossa 1035-1039, 00189 Rome, ItalyCentre for Experimental Neurological Therapies (CENTERS), Neurology and Department of Neurosciences, Mental Health and Sensory Organs, S. Andrea Hospital, Sapienza University of Rome, via di Grottarossa 1035-1039, 00189 Rome, ItalyCentre for Experimental Neurological Therapies (CENTERS), Neurology and Department of Neurosciences, Mental Health and Sensory Organs, S. Andrea Hospital, Sapienza University of Rome, via di Grottarossa 1035-1039, 00189 Rome, ItalyCentre for Experimental Neurological Therapies (CENTERS), Neurology and Department of Neurosciences, Mental Health and Sensory Organs, S. Andrea Hospital, Sapienza University of Rome, via di Grottarossa 1035-1039, 00189 Rome, ItalyCentre for Experimental Neurological Therapies (CENTERS), Neurology and Department of Neurosciences, Mental Health and Sensory Organs, S. Andrea Hospital, Sapienza University of Rome, via di Grottarossa 1035-1039, 00189 Rome, ItalyDepartment of Physiology and Pharmacology, Sapienza University of Rome, Piazzale Aldo Moro 5, 00185 Rome, ItalyCentre for Experimental Neurological Therapies (CENTERS), Neurology and Department of Neurosciences, Mental Health and Sensory Organs, S. Andrea Hospital, Sapienza University of Rome, via di Grottarossa 1035-1039, 00189 Rome, ItalyDepartment of Physics, Sapienza University of Rome, Piazzale Aldo Moro 2, 00185 Rome, ItalyHeritable and nonheritable factors play a role in multiple sclerosis, but their effect size appears too small, explaining relatively little about disease etiology. Assuming that the factors that trigger the onset of the disease are, to some extent, also those that generate its remissions and relapses, we attempted to model the erratic behaviour of the disease course as observed on a dataset containing the time series of relapses and remissions of 70 patients free of disease-modifying therapies. We show that relapses and remissions follow exponential decaying distributions, excluding periodic recurrences and confirming that relapses manifest randomly in time. It is found that a mechanistic model with a random forcing describes in a satisfactory manner the occurrence of relapses and remissions, and the differences in the length of time spent in each one of the two states. This model may describe how interactions between “soft” etiologic factors occasionally reach the disease threshold thanks to comparably small external random perturbations. The model offers a new context to rethink key problems such as “missing heritability” and “hidden environmental structure” in the etiology of complex traits.http://dx.doi.org/10.1155/2013/910321
spellingShingle Isabella Bordi
Renato Umeton
Vito A. G. Ricigliano
Viviana Annibali
Rosella Mechelli
Giovanni Ristori
Francesca Grassi
Marco Salvetti
Alfonso Sutera
A Mechanistic, Stochastic Model Helps Understand Multiple Sclerosis Course and Pathogenesis
International Journal of Genomics
title A Mechanistic, Stochastic Model Helps Understand Multiple Sclerosis Course and Pathogenesis
title_full A Mechanistic, Stochastic Model Helps Understand Multiple Sclerosis Course and Pathogenesis
title_fullStr A Mechanistic, Stochastic Model Helps Understand Multiple Sclerosis Course and Pathogenesis
title_full_unstemmed A Mechanistic, Stochastic Model Helps Understand Multiple Sclerosis Course and Pathogenesis
title_short A Mechanistic, Stochastic Model Helps Understand Multiple Sclerosis Course and Pathogenesis
title_sort mechanistic stochastic model helps understand multiple sclerosis course and pathogenesis
url http://dx.doi.org/10.1155/2013/910321
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