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

DOI: 10.1155/2013/910321

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Abstract:

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. 1. Introduction Multiple sclerosis (MS) is an immune-mediated disease of the central nervous system with a relapsing-remitting course in the majority of the early stages of the disease [1]. As for other multifactorial diseases, there is no comprehensive overview of the events that lead to the disease. This limits the opportunities provided by the advancements in genetics, immunology, and neurobiology since it is difficult to contextualize each single discovery. The uncertainties in the interpretation of genome-wide association studies (GWAS) reflect, to some extent, this problem. These studies carried the expectation to define the heritable component in multifactorial diseases and, through this, also sketch the nonheritable (environmental) contribution to the phenotype. As largely witnessed by the debate about “missing heritability” in multifactorial diseases, also this powerful approach appears to be in need of interpretative keys as neither genes nor the environment seem to harbour factors that, alone or jointly, are strong enough to explain the disease etiology [2, 3]. Likewise situations are rather common in the physics of nonlinear systems; here the observed large variations are explained through the effects induced by small random perturbations [4–6]. An example is the theory of the Earth’s climate: the cooperative effect of a small stochastic perturbation

References

[1]  A. Compston and A. Coles, “Multiple sclerosis,” The Lancet, vol. 372, no. 9648, pp. 1502–1517, 2008.
[2]  T. A. Manolio, F. S. Collins, N. J. Cox et al., “Finding the missing heritability of complex diseases,” Nature, vol. 461, no. 7265, pp. 747–753, 2009.
[3]  E. E. Eichler, J. Flint, G. Gibson et al., “Missing heritability and strategies for finding the underlying causes of complex disease,” Nature Reviews Genetics, vol. 11, no. 6, pp. 446–450, 2010.
[4]  G. E. P. Box and G. M. Jenkins, Time Series Analysis: Forecasting and Control, Holden-Day, San Francisco, Calif, USA, 1970.
[5]  A. Sutera, “On stochastic perturbation and long-term climate behaviour,” Quarterly Journal, Royal Meteorological Society, vol. 107, no. 451, pp. 137–151, 1981.
[6]  R. Benzi, G. Parisi, A. Sutera, and A. Vulpiani, “A theory of stochastic resonance in climatic change,” SIAM Journal on Applied Mathematics, vol. 43, no. 3, pp. 565–578, 1983.
[7]  I. Bordi and A. Sutera, “Stochastic perturbation in meteorology,” Waves in Random Media, vol. 10, no. 3, pp. R1–R30, 2000.
[8]  A. Raj and A. van Oudenaarden, “Nature, nurture, or chance: stochastic gene expression and its consequences,” Cell, vol. 135, no. 2, pp. 216–226, 2008.
[9]  A. Raj, S. A. Rifkin, E. Andersen, and A. van Oudenaarden, “Variability in gene expression underlies incomplete penetrance,” Nature, vol. 463, no. 7283, pp. 913–918, 2010.
[10]  D. Fraser and M. K?rn, “A chance at survival: gene expression noise and phenotypic diversification strategies,” Molecular Microbiology, vol. 71, no. 6, pp. 1333–1340, 2009.
[11]  A. Eldar and M. B. Elowitz, “Functional roles for noise in genetic circuits,” Nature, vol. 467, no. 7312, pp. 167–173, 2010.
[12]  N. Maheshri and E. K. O'Shea, “Living with noisy genes: how cells function reliably with inherent variability in gene expression,” Annual Review of Biophysics and Biomolecular Structure, vol. 36, pp. 413–434, 2007.
[13]  I. Bordi and A. Sutera, “Drought variability and its climatic implications,” Global and Planetary Change, vol. 40, no. 1-2, pp. 115–127, 2004.
[14]  G. A. Schumacher, G. Beebe, R. F. Kibler, et al., “Problems of experimental trials of therapy in multiple sclerosis: report by the panel on the evaluation of experimental trials of therapy in multiple sclerosis,” Annals of the New York Academy of Sciences, vol. 122, pp. 552–568, 1965.
[15]  C. M. Poser, D. W. Paty, L. Scheinberg, et al., “New diagnostic criteria for multiple sclerosis: guidelines for research protocols,” Annals of Neurology, vol. 13, no. 3, pp. 227–231, 1983.
[16]  N. Wiener, “Differential-space,” Journal of Mathematics and Physics, vol. 2, pp. 131–174, 1923.
[17]  J. K. Douglass, L. Wilkens, E. Pantazelou, and F. Moss, “Noise enhancement of information transfer in crayfish mechanoreceptors by stochastic resonance,” Nature, vol. 365, no. 6444, pp. 337–340, 1993.
[18]  R. Rouse, S. Han, and J. E. Lukens, “Flux amplification using stochastic superconducting quantum interference devices,” Applied Physics Letters, vol. 66, no. 1, pp. 108–110, 1995.
[19]  F.-G. Zeng, Q.-J. Fu, and R. Morse, “Human hearing enhanced by noise,” Brain Research, vol. 869, no. 1-2, pp. 251–255, 2000.
[20]  F. Moss, L. M. Ward, and W. G. Sannita, “Stochastic resonance and sensory information processing: a tutorial and review of application,” Clinical Neurophysiology, vol. 115, no. 2, pp. 267–281, 2004.
[21]  C. C. Goodnow, “Multistep pathogenesis of autoimmune disease,” Cell, vol. 130, no. 1, pp. 25–35, 2007.
[22]  J. H. Cho and P. K. Gregersen, “Genomics and the multifactorial nature of human autoimmune disease,” The New England Journal of Medicine, vol. 365, no. 17, pp. 1612–1623, 2011.
[23]  L. Menard, D. Saadoun, I. Isnardi et al., “The PTPN22 allele encoding an R620W variant interferes with the removal of developing autoreactive B cells in humans,” The Journal of Clinical Investigation, vol. 121, no. 9, pp. 3635–3644, 2011.
[24]  J. F. Kurtzke, “Multiple sclerosis: changing times,” Neuroepidemiology, vol. 10, no. 1, pp. 1–8, 1991.
[25]  A. E. Handel, G. Giovannoni, G. C. Ebers, and S. V. Ramagopalan, “Environmental factors and their timing in adult-onset multiple sclerosis,” Nature Reviews Neurology, vol. 6, no. 3, pp. 156–166, 2010.
[26]  C. H. Polman, S. C. Reingold, B. Banwell et al., “Diagnostic criteria for multiple sclerosis: 2010 revisions to the McDonald criteria,” Annals of Neurology, vol. 69, no. 2, pp. 292–302, 2011.
[27]  S. Sawcer, G. Hellenthal, M. Prinen et al., “Genetic risk and a primary role for cell-mediated immune mechanisms in multiple sclerosis,” Nature, vol. 476, no. 7359, pp. 214–219, 2011.
[28]  A. D. Sadovnick, I. M. Yee, C. Guimond, J. Reis, D. A. Dyment, and G. C. Ebers, “Age of onset in concordant twins and other relative pairs with multiple sclerosis,” American Journal of Epidemiology, vol. 170, no. 3, pp. 289–296, 2009.
[29]  G. Ristori, S. Cannoni, M. A. Stazi et al., “Multiple sclerosis in twins from continental Italy and Sardinia: a nationwide study,” Annals of Neurology, vol. 59, no. 1, pp. 27–34, 2006.
[30]  M. Debouverie, S. Pittion-Vouyovitch, S. Louis, and F. Guillemin, “Natural history of multiple sclerosis in a population-based cohort,” European Journal of Neurology, vol. 15, no. 9, pp. 916–921, 2008.
[31]  M. P. Amato, G. Ponziani, M. L. Bartolozzi, and G. Siracusa, “A prospective study on the natural history of multiple sclerosis: clues to the conduct and interpretation of clinical trials,” Journal of the Neurological Sciences, vol. 168, no. 2, pp. 96–106, 1999.
[32]  D. Miller, F. Barkhof, X. Montalban, A. Thompson, and M. Filippi, “Clinically isolated syndromes suggestive of multiple sclerosis—part I: natural history, pathogenesis, diagnosis, and prognosis,” The Lancet Neurology, vol. 4, no. 5, pp. 281–288, 2005.
[33]  A. Degenhardt, S. V. Ramagopalan, A. Scalfari, and G. C. Ebers, “Clinical prognostic factors in multiple sclerosis: a natural history review,” Nature Reviews Neurology, vol. 5, no. 12, pp. 672–682, 2009.
[34]  A. Scalfari, A. Neuhaus, A. Degenhardt et al., “The natural history of multiple sclerosis, a geographically based study 10: relapses and long-term disability,” Brain, vol. 133, no. 7, pp. 1914–1929, 2010.
[35]  R. Losick and C. Desplan, “Stochasticity and cell fate,” Science, vol. 320, no. 5872, pp. 65–68, 2008.

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