1,283
Views
8
CrossRef citations to date
0
Altmetric
Research Paper

Discrete dynamics of contagious social diseases: Example of obesity

, &
Pages 129-140 | Received 02 Apr 2015, Accepted 09 Aug 2015, Published online: 19 Dec 2015

References

  • Rosen J, Myers A. Obesity stigmatization and coping: relation to mental health symptoms, body image, and self-esteem. Int J Obesity Relat Metab Disord 1999; 23:221-230; PMID:10193866; http://dx.doi.org/10.1038/sj.ijo.0800765
  • Tunstall-Pedoe H, Project M. World's largest study of heart disease, stroke, risk factors, and population trends 1979-2002. Int J Epidemiol, WHO, Geneva, 2003.
  • ObEpi-Roche. Enquête épidémiologique nationale sur le surpoids et l'obésité. International Obesity Task Force Prevalence Data, Roche, Paris, 2009 and 2012.
  • Maillard G, Charles M, Thibault N, Forhan A, Sermet C, Basdevant A, Eschwege E. Trends in the prevalence of obesity in the French adult population between 1980 and 1991. Int J Obesity Relat Metab Disord 1999; 23:389-394; PMID:10340817; http://dx.doi.org/10.1038/sj.ijo.0800831
  • Barth J. What should we do about the obesity epidemic?. Pract Diab Inter 2002; 19:119-122; http://dx.doi.org/10.1002/pdi.341
  • de Saint-Pol, T. Obésité et milieux sociaux en France : les inégalités augmentent, Bulletin Epidémiologique Hebdomadaire 2008; 20:175-179
  • Laitinen J, Power C, Jarvelin M. Family social class, maternal body mass index, childhood body mass index, and age at menarche as predictors of adult obesity. Am J Clin Nutrit 2001; 74:287-294; PMID:11522550
  • Scharoun-Lee M, Adair L, Kaufman J, Gordon-Larsen P. Obesity, race/ethnicity and the multiple dimensions of socio-economic status during the transition to adulthood: A factor analysis approach. Social Sci Med 2009; 6:708-716; PMID:19136186; http://dx.doi.org/10.1016/j.socscimed.2008.12.009
  • Christakis N, Fowler J. The spread of obesity in a large social network over 32 years. New Eng J Med 2006; 17:77-82.
  • Cohen-Cole, AM, Fletcher, J. Is obesity contagious? Social networks vs. environmental factors in the obesity epidemic. J Health Economics 2008; 27:1382-1387; PMID:18571258; http://dx.doi.org/10.1016/j.jhealeco.2008.04.005
  • Demongeot J, Amor HB, Elena A, Gillois P, Noual M, Sené S. Robustness of regulatory networks. a generic approach with applications at different levels: physiologic, metabolic and genetic. Inter J Mol Sci 2009; 10:4437-4473; PMID:20057955; http://dx.doi.org/10.3390/ijms10104437
  • Demongeot J, Elena A, Noual M, Sené S, Thuderoz F. Immunetworks, intersecting circuits and dynamics. J Theoretical Biol 2011; 280:19-33; PMID:21439971; http://dx.doi.org/10.1016/j.jtbi.2011.03.023
  • Demongeot J, Goles E, Morvan M, Noual M, Sené S. Attraction basins as gauges of environmental robustness in biological complex systems. PloS One 2010; 5, e11793; PMID:20700525; http://dx.doi.org/10.1371/journal.pone.0011793
  • Demongeot J, Noual M, Sené S. Combinatorics of Boolean automata circuits dynamics. Dis Appl Mathe 2012; 160:398-415; http://dx.doi.org/10.1016/j.dam.2011.11.005
  • MINSAL. Encuesta nacional de salud. 2010 http://web.minsal.cl/portal/url/item/bcb03d7bc28b64dfe040010165012d23.pdf
  • Fruchterman T, Reingold E. Graph drawing by force-directed placement. Software: Practice and Exp 1991; 21:1129-1164.
  • Gaymu J, Festy P, Poulain M, Beets G. From elderly population projections to policy implications, in: Future elderly living conditions in Europe (Felicie). Les cahiers de l'INED 2008; 162:267-290.
  • Duée M, Rebillard C. La dépendance des personnes âgées: une projection en 2040. Données sociales - La société française, INSEE, Paris, 2006.
  • Légaré J, Décarie Y. Using statistics Canada life paths micro-simulation model to project the health status of Canadian elderly. SEDAP Research Paper 227, SEDAP, Hamilton, 2008.
  • World Bank. http://web.worldbank.org/WBSITE/EXTERNAL/DATASTATISTICS/, Washington, 2009
  • Harati H, Hadaegh F, Saadat N, Azizi F. Population-based incidence of type 2 diabetes and its associated risk factors: results from a six-year cohort study in Iran. BMC Public Health 2009; 9, 186; PMID:19531260; http://dx.doi.org/10.1186/1471-2458-9-186
  • Hosseinpanah F, Barzin M, Eskandary P, Mirmiran P, Azizi F. Trends of obesity and abdominal obesity in Tehranian adults: a cohort study. BMC Public Health 2009; 9, 429; PMID:19930668; http://dx.doi.org/10.1186/1471-2458-9-429
  • Dauphinot V, Wolff H, Naudin F, Gueguen R, Sermet C, Gaspoz J, Kossovsky M. New obesity body mass index threshold for self-reported data. J Epidemiol Com Health 2009; 63:128-132; PMID:18801799; http://dx.doi.org/10.1136/jech.2008.077800
  • Bergman R, Stefanovski D, Buchanan T, Sumner A, Reynolds J, Sebring N, Xiang A, Watanabe R. A better index of body adiposity. Obesity 2011; 19:1083-1089; PMID:21372804; http://dx.doi.org/10.1038/oby.2011.38
  • Baranova A, Collantes R, Gowder S, Elariny H, Schlauch K, Younoszai SKA, Randhawa M, Pusulury S, Alsheddi T, Ong J, Martin L, Chandhoke V, Younossi ZM. Obesity-related differential gene expression in the visceral adipose tissue. Obesity Surgery 2005; 15:58-65; PMID:15768482; http://dx.doi.org/10.1381/0960892054222876
  • Demetrius L, Coy J, Tuszynski J. Cancer proliferation and therapy: the Warburg effect and quantum metabolism. Theoret Biol Med Mod 2010; 7, 2; PMID:20085650; http://dx.doi.org/10.1186/1742-4682-7-2
  • Demetrius L, Tuszynski J. Quantum metabolism explains the allometric scaling of metabolic rates. J. Royal Soc. Interface 2010; 7:507-514; PMID:19734187; http://dx.doi.org/10.1098/rsif.2009.0310
  • Delhumeau C, Demongeot J, Langlois F, Taramasco C. Modelling the hospital length of stay in diagnosis related groups data bases. in: IEEE ARES-CISIS'09 IEEE Press, Piscataway:955-960, 2009.
  • Myers A, Rosen J. Obesity stigmatization and coping: relation to mental health symptoms, body image, and self-esteem. Int J Obes Relat Metab Disord 1999; 23:221-230; PMID:10193866; http://dx.doi.org/10.1038/sj.ijo.0800765
  • Demongeot J, Hansen O, Hessami H, Jannot A, Mintsa J, Rachdi M, Taramasco C. Random modelling of contagious diseases. Acta Biotheoretica 2013; 61:141-172; PMID:23525763; http://dx.doi.org/10.1007/s10441-013-9176-6
  • Bernoulli D. Essai d'une nouvelle analyse de la mortalité causée par la petite vérole, et des avantages de l'inoculation pour la prévenir. Mém. Acad. Roy. Sci., Paris, 1760.
  • d'Alembert J. Onzième mémoire : sur l´application du calcul des probabilités à l´inoculation de la petite vérole ; notes sur le mémoire précédent ; théorie mathématique de l´inoculation, in: Opuscules mathématiques, David, Paris. 26-95, 1761.
  • Hamer W. The Milroy lectures on epidemic disease in England: the evidence of variability and persistency of type. Bedford Press, London. 733-739, 1906.
  • Ross R. Prevention of malaria. John Murray, London, 1910.
  • Brownlee J. On the curve of the epidemic. Br Med J, 1915; 1:799-800; PMID:20767626; http://dx.doi.org/10.1136/bmj.1.2836.799
  • Ross R. Some a priori pathometric equations. Br Med J 1915; 1:546-547; PMID:20767555; http://dx.doi.org/10.1136/bmj.1.2830.546
  • Ross R. An application of the theory of probabilities to the study of a priori pathometry. part I. Proc Royal Soc London Series A 1916; 92:204-230; http://dx.doi.org/10.1098/rspa.1916.0007
  • Gibson M. Sir Ronald Ross and his contemporaries. J Royal Society of Medicine 1978; 71:611-618; PMID:20894263
  • Kermack W, McKendrick A. A contribution to the mathematical theory of epidemics. Proc Royal Soc London, Series A 1927; 115:700-712; PMID:23797790; http://dx.doi.org/10.1098/rspa.1927.0118
  • Kermack W, McKendrick A. Contributions to the mathematical theory of epidemics. iii. further studies of the problem of endemicity. Proc Royal Soc London Series A 1933; 121:141-194.
  • Delbrück M. Statistical fluctuations in autocatalytic reactions. J Chem Phys 1940; 8:120-124; http://dx.doi.org/10.1063/1.1750549
  • Bartholomay A. On the linear birth and death processes of biology as Markov chains. Bull Math Biophys 1958; 20:97-118; http://dx.doi.org/10.1007/BF02477571
  • Bartholomay A. Stochastic models for chemical reactions: I. theory of the uni-molecular reaction process. Bull Math Biophys 1958; 20:175-190; http://dx.doi.org/10.1007/BF02478297
  • Bartholomay A. Stochastic models for chemical reactions: II. the unimolecular rate constant Bull Math Biophys 1959; 21:363-373; http://dx.doi.org/10.1007/BF02477895
  • McQuarrie D. Kinetics of small systems I. J Chem Phys 1963; 38:433-436; http://dx.doi.org/10.1063/1.1733676
  • McQuarrie D, Jachimowski C, Russell M. Kinetics of small systems. II. J Chem Phys 1964; 40:2914-2921; http://dx.doi.org/10.1063/1.1724926
  • Jachimowski C, McQuarrie D, Russell M. A stochastic approach to enzyme-substrate reactions. Biochem 1964; 3:1732-1736; PMID:14235340; http://dx.doi.org/10.1021/bi00899a025
  • McQuarrie D. Stochastic approach to chemical kinetics. J Appl Probab 1967; 4:413-478; http://dx.doi.org/10.2307/3212214
  • Hoare M. Molecular Markov processes. Nature 1970; 226:599-603; PMID:16057421; http://dx.doi.org/10.1038/226599a0
  • Bailey N. The simple stochastic epidemic: A complete solution in terms of known functions. Biometrika 1963; 50:235-240; http://dx.doi.org/10.1093/biomet/50.3-4.235
  • Dietz K. Epidemics and rumors: A survey. J Royal Stat Soc. Series A (General) 1967; 130:505-528; http://dx.doi.org/10.2307/2982521
  • Demongeot J. A stochastic model for the cellular metabolism. in: Recent Developments in statistics, North Holland, Amsterdam:655-662, 1977.
  • Allen L. An introduction to stochastic epidemic models. Math Epidemiol 2008; 1945:81-130; http://dx.doi.org/10.1007/978-3-540-78911-6_3
  • Rhodes C, Demetrius L. Evolutionary entropy determines invasion success in emergent epidemics. PLoS One 2010; 5, e12951; PMID:20886082; http://dx.doi.org/10.1371/journal.pone.0012951
  • Britton T. Stochastic epidemic models: a survey. Math Biosci 2010; 225:24-35; PMID:20102724; http://dx.doi.org/10.1016/j.mbs.2010.01.006
  • Gillespie D. A general method for numerically simulating the stochastic time evolution of coupled chemical reactions. J Comput Phys 1970; 22:403-434; http://dx.doi.org/10.1016/0021-9991(76)90041-3
  • Magal P, Ruan S. Susceptible-infectious- recovered models revisited: From the individual level to the population level. Math Biosci 2014; 250:26-40; PMID:24530806; http://dx.doi.org/10.1016/j.mbs.2014.02.001
  • Taramasco C, Impact de l'obésité sur les structures sociales et impact des structures sociales sur l'obésité ? Facteurs individuels et environnementaux, PhD thesis, Ecole Polytechnique, Paris 2011.
  • Aldana M, Cluzel P. A natural class of robust networks. Proc Natl Acad Sci USA 2003; 100:8710-8714; PMID:12853565; http://dx.doi.org/10.1073/pnas.1536783100
  • Demongeot J, Elena A, Sené S. Robustness in neural and genetic networks. Acta Biotheoretica 2008; 56:27-49; PMID:18379883; http://dx.doi.org/10.1007/s10441-008-9029-x
  • Amor HB, Demongeot J, Elena A, Sené S. Structural sensitivity of neural and genetic networks. Lecture Notes Comp Sci 2008; 5317:973-986; http://dx.doi.org/10.1007/978-3-540-88636-5_92
  • Elena A, Demongeot J. Interaction motifs in regulatory networks and structural robustness. in: IEEE ARES-CISIS'08, IEEE Press, Piscataway:682-686, 2008.
  • Elena A, Ben-Amor H, Glade N, Demongeot J. Motifs in regulatory networks and their structural robustness. in: IEEE BIBE'08, IEEE Press, Piscataway:234-242, 2008.
  • Elena A, Robustesse des réseaux d´automates à seuil, PhD thesis, Université Joseph-Fourier, Grenoble, 2009.
  • Demongeot J, Elena A, Noual M, Sené S. Random Boolean networks and attractors of their intersecting circuits. in: Proceedings IEEE AINA'11, IEEE Proceedings, Piscataway:483-487, 2011.
  • Glade N, Elena A, Fanchon N, Demongeot J, Amor HB. Determination, optimization and taxonomy of regulatory networks. the example of Arabidopsis thaliana flower morphogenesis. in: IEEE AINA'11, IEEE Press, Piscataway:488-494, 2011.
  • Demongeot J, Waku J. Robustness in genetic regulatory networks II, application to genetic threshold Boolean random regulatory networks (getbren). Comptes Rendus Mathématique, 2012; 350:225-228; http://dx.doi.org/10.1016/j.crma.2012.01.019
  • Demongeot J, Waku J. Robustness in genetic regulatory networks IV, application to genetic networks controlling the cell cycle. Comptes Rendus Mathématique 2012; 350:293-298; http://dx.doi.org/10.1016/j.crma.2012.02.005
  • Demongeot J, Drouet E, Moreira A, Rechoum Y, Sené S. Micro-RNAs: viral genome and robustness of the genes expression in host. Phil Trans Royal Soc A 2009; 367:4941-4965; PMID:19884188; http://dx.doi.org/10.1098/rsta.2009.0176
  • Koopman J, Longini I. The ecological effects of individual exposures and nonlinear disease dynamics in populations. Am J Public Health 1994; 84:836-842; PMID:8179058; http://dx.doi.org/10.2105/AJPH.84.5.836
  • Kretzschmar M. Measures of concurrency in networks and the spread of infectious disease. Math Biosci 1996; 133:165-195; PMID:8718707; http://dx.doi.org/10.1016/0025-5564(95)00093-3
  • Sathik M, Rasheed A. Social network analysis in an online blogosphere. Inter J Eng Sci Technol 2011; 3:117-121,
  • Gaudart J, Giorgi R, Poudiougou B, Ranque S, Doumbo O, Demongeot J. Spatial cluster detection: principle and application of different general methods. Rev Epid Santé Pub 2007; 55:297-306; http://dx.doi.org/10.1016/j.respe.2007.04.003
  • Gaudart J, Touré O, Dessay N, Dicko A, Ranque S, Forest L, Demongeot J, Doumbo O. Modelling malaria incidence with environmental dependency in a locality of Sudanese savannah area, Mali. Malaria J 2009; 8, 61; PMID:19361335; http://dx.doi.org/10.1186/1475-2875-8-61
  • Gaudart J, Ghassani M, Mintsa J, Rachdi M, Waku J, Demongeot J. Demography and diffusion in epidemics: Malaria and black death spread. Acta Biotheoretica 2010; 58:277-305; PMID:20706773; http://dx.doi.org/10.1007/s10441-010-9103-z
  • Demongeot J, Gaudart J, Mintsa J, Rachdi M. Demography in epidemics modelling. Commun Pure Appl Analysis 2012; 11:61-82; http://dx.doi.org/10.3934/cpaa.2012.11.61
  • Demongeot J, Gaudart J, Lontos A, Promayon E, Mintsa J, Rachdi M. Least diffusion zones in morphogenesis and epidemiology. Int J Bifurcat Chaos 2012; 22: 50028; http://dx.doi.org/10.1142/S0218127412500289
  • Demongeot J, Ghassani M, Rachdi M, Ouassou I, Taramasco C. Archimedean copula and contagion modelling in epidemiology. Networks and Heterogeneous Media 2013; 8:149-170; http://dx.doi.org/10.3934/nhm.2013.8.149
  • Amarasekare P. Interactions between local dynamics and dispersal: insights from single species models. Theoret Populat Biol 1998; 53:44-59; PMID:9500910; http://dx.doi.org/10.1006/tpbi.1997.1340
  • Filipe J, Gibson G. Comparing approximations to spatio-temporal models for epidemics with local spread. Bull Math Biol 2001; 63:603-624; PMID:11497160; http://dx.doi.org/10.1006/bulm.2001.0234
  • Demongeot J, Laurent M. Sigmoidicity in allosteric models. Mathematical Biosciences 1983; 67:1-17; http://dx.doi.org/10.1016/0025-5564(83)90015-9
  • Demongeot J, Kellershohn N. Glycolytic oscillations : an attempt to an “in vitro” reconstitution of the higher part of glycolysis. Lectures Notes in Biomaths 1983; 49:17-31; http://dx.doi.org/10.1007/978-3-642-46475-1_2
  • Demongeot J, Sené S. The singular power of the environment on nonlinear Hopfield networks. in: CMSB´11, ACM Proceedings, New York:55-64, 2011.
  • Demongeot J, Fricot J. Random fields and renewal potentials. NATO ASI Serie F 1986; 20:71-84.
  • Barthélemy M, Nadal J, Berestycki H. Disentangling collective trends from local dynamics. Proc Natl Acad Sci USA 2010; 107:7629-7634; PMID:Can't; http://dx.doi.org/10.1073/pnas.0910259107
  • Garmendia M, Ruiz P, Uauy R. Obesidad y cáncer en Chile: estimación de las fracciones atribuibles poblacionales. Revista Médica de Chile 2013; 141:987-994; PMID:Can't; http://dx.doi.org/10.4067/S0034-98872013000800004
  • Fried M, Hainer V, Basdevant A, Buchwald H, Deitel M, Finer N, Willem J, Greve JW, Horber F, Mathus Vliegen E, Scopinaro N, Steffen R, Tsigos C, Weiner R, Widhalm K. Interdisciplinary European guidelines for surgery for severe (morbid) obesity. Obesity Surgery 2007; 17:260-270; PMID:17476884; http://dx.doi.org/10.1007/s11695-007-9025-2
  • Demongeot J, Elena A, Taramasco C, Vuillerme N. Serious games and personalization of the therapeutic education. Lecture Notes in Comp Sci 2015; 9102:270-281; http://dx.doi.org/10.1007/978-3-319-19312-0_22
  • Finkelstein E, Khavjou O, Thompson H, Trogdon J, Pan L, Sherry B, Dietz W. Obesity and severe obesity forecasts through 2030. Am J Prevent Med 2012; 42:563-570; PMID:22608371; http://dx.doi.org/10.1016/j.amepre.2011.10.026
  • Lipnowski S, LeBlanc C. Canadian Paediatric Society, healthy active living and sports medicine committee. healthy active living: Physical activity guidelines for children and adolescents. Paediatrics and Child Health 2012; 17:209-210; PMID:23543633

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.