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[cited 31 Jul 2014]. Available: <ext-link xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" ext-link-type=\"uri\" xlink:href=\"http:\/\/www.nice.org.uk\/guidance\/cg36\" xlink:type=\"simple\">http:\/\/www.nice.org.uk\/guidance\/cg36<\/ext-link>"},{"key":"ref2","doi-asserted-by":"crossref","first-page":"542","DOI":"10.1136\/hrt.2006.110791","article-title":"Atrial fibrillation\u2014the growing epidemic","volume":"93","author":"GYH Lip","year":"2007","journal-title":"Heart"},{"key":"ref3","doi-asserted-by":"crossref","first-page":"946","DOI":"10.1161\/01.CIR.98.10.946","article-title":"Impact of atrial fibrillation on the risk of death: the Framingham Heart Study","volume":"98","author":"EJ Benjamin","year":"1998","journal-title":"Circulation"},{"key":"ref4","doi-asserted-by":"crossref","first-page":"1067","DOI":"10.1056\/NEJM200104053441407","article-title":"Atrial Fibrillation","volume":"344","author":"RH Falk","year":"2001","journal-title":"N Engl J Med"},{"key":"ref5","doi-asserted-by":"crossref","first-page":"10N","DOI":"10.1016\/S0002-9149(98)00735-8","article-title":"Etiology and complications of atrial fibrillation: insights from pathology studies","volume":"82","author":"RH Falk","year":"1998","journal-title":"Am J Cardiol"},{"key":"ref6","first-page":"99","article-title":"Cardiac Arrhythmias 1999","author":"F Rigo","year":"2000"},{"key":"ref7","doi-asserted-by":"crossref","first-page":"787","DOI":"10.1016\/S0002-8703(03)00086-3","article-title":"Atrial stunning: determinants and cellular mechanisms","volume":"145","author":"IA Khan","year":"2003","journal-title":"Am Heart J"},{"key":"ref8","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1016\/S0167-5273(03)00107-4","article-title":"Atrial stunning: basics and clinical considerations","volume":"92","author":"IA Khan","year":"2003","journal-title":"Int J Cardiol"},{"key":"ref9","doi-asserted-by":"crossref","first-page":"3157","DOI":"10.1161\/01.CIR.96.9.3157","article-title":"Structural changes of atrial myocardium due to sustained atrial fibrillation in the goat","volume":"96","author":"J Ausma","year":"1997","journal-title":"Circulation"},{"key":"ref10","doi-asserted-by":"crossref","first-page":"428","DOI":"10.1161\/01.RES.85.5.428","article-title":"Atrial L-Type Ca2+ Currents and Human Atrial Fibrillation","volume":"85","author":"DRV van Wagoner","year":"1999","journal-title":"Circ Res"},{"key":"ref11","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1016\/S0008-6363(99)00178-9","article-title":"Ionic mechanisms of electrical remodeling in human atrial fibrillation","volume":"44","author":"RF Bosch","year":"1999","journal-title":"Cardiovasc Res"},{"key":"ref12","doi-asserted-by":"crossref","first-page":"226","DOI":"10.1016\/S0008-6363(01)00380-7","article-title":"The contribution of ionic currents to changes in refractoriness of human atrial myocytes associated with chronic atrial fibrillation","volume":"52","author":"AJ Workman","year":"2001","journal-title":"Cardiovasc Res"},{"key":"ref13","doi-asserted-by":"crossref","first-page":"270","DOI":"10.1016\/S0008-6363(01)00557-0","article-title":"Cardiac gap junctions and connexins: their role in atrial fibrillation and potential as therapeutic targets","volume":"54","author":"HMW van der Velden","year":"2002","journal-title":"Cardiovasc Res"},{"key":"ref14","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1007\/s00395-003-0409-8","article-title":"Remodeling of cardiomyocyte ion channels in human atrial fibrillation","volume":"98","author":"D Dobrev","year":"2003","journal-title":"Basic Res Cardiol"},{"key":"ref15","doi-asserted-by":"crossref","first-page":"2299","DOI":"10.1161\/01.CIR.0000145155.60288.71","article-title":"Role of IKur in controlling action potential shape and contractility in the human atrium: influence of chronic 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Physiol"},{"key":"ref29","doi-asserted-by":"crossref","first-page":"541","DOI":"10.1161\/01.RES.83.5.541","article-title":"Ionic mechanisms of regional action potential heterogeneity in the canine right atrium","volume":"83","author":"J Feng","year":"1998","journal-title":"Circ Res"},{"key":"ref30","first-page":"H643","article-title":"Regional differences in rabbit atrial repolarization: importance of transient outward current","volume":"266","author":"A Qi","year":"1994","journal-title":"Am J Physiol"},{"key":"ref31","first-page":"H301","article-title":"Ionic mechanisms underlying human atrial action potential properties: insights from a mathematical model","volume":"275","author":"M Courtemanche","year":"1998","journal-title":"Am J Physiol"},{"key":"ref32","doi-asserted-by":"crossref","first-page":"1105","DOI":"10.1007\/s11517-013-1090-1","article-title":"In-silico modeling of atrial repolarization in normal and atrial fibrillation remodeled state","volume":"51","author":"MW 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Myocardial electrophysiological, contractile and metabolic properties of hypertrophic cardiomyopathy: Insights from modelling. Computing in Cardiology Conference (CinC), 2014. 2014. pp. 1037\u20131040."},{"key":"ref39","first-page":"78","article-title":"Abnormal calcium homeostasis in heart failure with preserved ejection fraction is related to both reduced contractile function and incomplete relaxation: An electromechanically detailed biophysical modelling study","volume":"6","author":"I Adeniran","year":"2015","journal-title":"Card Electrophysiol"},{"key":"ref40","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1007\/s10974-005-9005-x","article-title":"Myosin heavy chain composition and the economy of contraction in healthy and diseased human myocardium","volume":"26","author":"NA Narolska","year":"2005","journal-title":"J Muscle Res Cell Motil"},{"key":"ref41","doi-asserted-by":"crossref","first-page":"4249","DOI":"10.1113\/jphysiol.2013.254987","article-title":"Pro-arrhythmogenic effects of atrial fibrillation-induced electrical remodelling: insights from the three-dimensional virtual human 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patterns of excitation, repolarization and action potential duration with cardiac Bidomain and Monodomain models","volume":"197","author":"P Colli Franzone","year":"2005","journal-title":"Math Biosci"},{"key":"ref46","doi-asserted-by":"crossref","first-page":"2425","DOI":"10.1109\/TBME.2006.880875","article-title":"A comparison of monodomain and bidomain reaction-diffusion models for action potential propagation in the human heart","volume":"53","author":"M Potse","year":"2006","journal-title":"IEEE Trans Biomed Eng"},{"key":"ref47","article-title":"Mathematical Physiology: II: Systems Physiology","author":"J Keener","year":"2008"},{"key":"ref48","doi-asserted-by":"crossref","first-page":"501","DOI":"10.1016\/j.pbiomolbio.2004.01.016","article-title":"Electromechanical model of excitable tissue to study reentrant cardiac arrhythmias","volume":"85","author":"MP Nash","year":"2004","journal-title":"Prog Biophys Mol Biol"},{"key":"ref49","doi-asserted-by":"crossref","first-page":"860","DOI":"10.1007\/s10439-009-9663-8","article-title":"A numerical method for cardiac mechanoelectric simulations","volume":"37","author":"P Pathmanathan","year":"2009","journal-title":"Ann Biomed Eng"},{"key":"ref50","doi-asserted-by":"crossref","first-page":"2199","DOI":"10.1007\/s11538-007-9213-1","article-title":"Soft tissue modelling of cardiac fibres for use in coupled mechano-electric simulations","volume":"69","author":"JP Whiteley","year":"2007","journal-title":"Bull Math Biol"},{"key":"ref51","doi-asserted-by":"crossref","first-page":"E25","DOI":"10.1161\/01.RES.87.7.e25","article-title":"A computer model of normal conduction in the human atria","volume":"87","author":"D Harrild","year":"2000","journal-title":"Circ Res"},{"key":"ref52","doi-asserted-by":"crossref","first-page":"249","DOI":"10.1161\/01.CIR.72.2.249","article-title":"Atrial flutter: A synthesis of concepts","volume":"72","author":"JP Boineau","year":"1985","journal-title":"Circulation"},{"key":"ref53","article-title":"Mathematical Foundations of Elasticity","author":"JE Marsden","year":"1994"},{"key":"ref54","article-title":"Nonlinear Solid Mechanics: A Continuum Approach for Engineering","author":"GA Holzapfel","year":"2000"},{"key":"ref55","first-page":"345","article-title":"Computational Biology of the Heart","author":"PJ Hunter","year":"1997"},{"key":"ref56","doi-asserted-by":"crossref","first-page":"1233","DOI":"10.1098\/rsta.2001.0828","article-title":"Modelling cardiac mechanical properties in three dimensions","volume":"359","author":"KD Costa","year":"2001","journal-title":"Philos Trans R Soc Lond Ser Math Phys Eng Sci"},{"key":"ref57","doi-asserted-by":"crossref","first-page":"90","DOI":"10.1016\/j.pbiomolbio.2007.08.001","article-title":"An improved numerical method for strong coupling of excitation and contraction models in the heart","volume":"96","author":"SA Niederer","year":"2008","journal-title":"Prog Biophys Mol Biol"},{"key":"ref58","doi-asserted-by":"crossref","first-page":"605","DOI":"10.1137\/100788379","article-title":"Electromechanical Coupling in Cardiac Dynamics: The Active Strain Approach","volume":"71","author":"D Ambrosi","year":"2011","journal-title":"SIAM J Appl Math"},{"key":"ref59","doi-asserted-by":"crossref","first-page":"52","DOI":"10.1002\/cnm.1468","article-title":"An active strain electromechanical model for cardiac tissue","volume":"28","author":"F Nobile","year":"2012","journal-title":"Int J Numer Methods Biomed Eng"},{"key":"ref60","article-title":"Thermodynamically consistent orthotropic activation model capturing ventricular systolic wall thickening in cardiac electromechanics","author":"S Rossi","journal-title":"Eur J Mech\u2014ASolids"},{"key":"ref61","doi-asserted-by":"crossref","first-page":"1743","DOI":"10.1016\/j.compstruc.2006.05.003","article-title":"Modeling and estimation of the cardiac electromechanical activity","volume":"84","author":"J Sainte-Marie","year":"2006","journal-title":"Comput Struct"},{"key":"ref62","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1007\/s10659-011-9351-4","article-title":"Active Stress vs. Active Strain in Mechanobiology: Constitutive Issues","volume":"107","author":"D Ambrosi","year":"2011","journal-title":"J Elast"},{"key":"ref63","doi-asserted-by":"crossref","first-page":"375","DOI":"10.1093\/qjmam\/hbq014","article-title":"Cardiac Electromechanics: The Effect of Contraction Model on the Mathematical Problem and Accuracy of the Numerical Scheme","volume":"63","author":"P Pathmanathan","year":"2010","journal-title":"Q J Mech Appl Math"},{"key":"ref64","unstructured":"Lions JL, Ciarlet PG. Handbook of numerical analysis; Vol.3, Techniques of scientific computing (part 1); Numerical methods for solids (part 1); Solution of equations in R(n) (part 2) [Internet]. London: North-Holland; 1994. Available: <ext-link xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" ext-link-type=\"uri\" xlink:href=\"http:\/\/catalogue.library.manchester.ac.uk\/items\/815424\" xlink:type=\"simple\">http:\/\/catalogue.library.manchester.ac.uk\/items\/815424<\/ext-link>"},{"key":"ref65","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511755446","article-title":"Nonlinear Continuum Mechanics for Finite Element Analysis","author":"J Bonet","year":"2008"},{"key":"ref66","doi-asserted-by":"crossref","first-page":"562","DOI":"10.1016\/j.pbiomolbio.2008.02.001","article-title":"An electromechanical model of cardiac tissue: constitutive issues and electrophysiological effects","volume":"97","author":"C Cherubini","year":"2008","journal-title":"Prog Biophys Mol Biol"},{"key":"ref67","doi-asserted-by":"crossref","first-page":"42","DOI":"10.1115\/1.2894084","article-title":"Passive material properties of intact ventricular myocardium determined from a cylindrical model","volume":"113","author":"JM Guccione","year":"1991","journal-title":"J Biomech Eng"},{"key":"ref68","doi-asserted-by":"crossref","first-page":"1219","DOI":"10.1109\/TBME.2011.2112359","article-title":"Efficient computational methods for strongly coupled cardiac electromechanics","volume":"59","author":"S Land","year":"2012","journal-title":"IEEE Trans Biomed Eng"},{"key":"ref69","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1016\/j.mbs.2005.01.001","article-title":"An operator splitting method for solving the bidomain equations coupled to a volume conductor model for the torso","volume":"194","author":"J Sundnes","year":"2005","journal-title":"Math Biosci"},{"key":"ref70","article-title":"Finite Element Analysis: From Concepts to Applications","author":"DS Burnett","year":"1987"},{"key":"ref71","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511618635","article-title":"Finite Elements: Theory, Fast Solvers, and Applications in Solid Mechanics","author":"D Braess","year":"2007"},{"key":"ref72","article-title":"Softcover reprint of hardcover","author":"SC Brenner","year":"2008"},{"key":"ref73","article-title":"Softcover reprint of hardcover","author":"A Ern","year":"2004"},{"key":"ref74","doi-asserted-by":"crossref","first-page":"389","DOI":"10.1109\/TBME.1978.326270","article-title":"A practical algorithm for solving dynamic membrane equations","volume":"25","author":"S Rush","year":"1978","journal-title":"IEEE Trans Biomed Eng"},{"key":"ref75","first-page":"138","article-title":"C Computers in Physics","author":"S Cohen","year":"1996"},{"key":"ref76","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1145\/1089014.1089020","article-title":"Hindmarsh PNB. SUNDIALS: Suite of nonlinear and differential\/algebraic equation solvers","volume":"31","author":"C Alan","year":"2005","journal-title":"ACM Trans Math Softw"},{"key":"ref77","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-23099-8","article-title":"Automated Solution of Differential Equations by the Finite Element Method: The FEniCS Book","author":"A Logg","year":"2012"},{"key":"ref78","doi-asserted-by":"crossref","first-page":"9:1","DOI":"10.1145\/2566630","article-title":"Unified Form Language: A Domain-specific Language for Weak Formulations of Partial Differential Equations","volume":"40","author":"MS Alnaes","year":"2014","journal-title":"ACM Trans Math Softw"},{"key":"ref79","doi-asserted-by":"crossref","first-page":"664","DOI":"10.1016\/j.compstruc.2010.02.007","article-title":"Comparison of the performance of some finite element discretizations for large deformation elasticity problems","volume":"88","author":"\u00ed Chamberland","year":"2010","journal-title":"Comput Struct"},{"key":"ref80","doi-asserted-by":"crossref","first-page":"1507","DOI":"10.1002\/nag.1062","article-title":"On the causes of pressure oscillations in low-permeable and low-compressible porous media","volume":"36","author":"JB Haga","year":"2012","journal-title":"Int J Numer Anal Methods Geomech"},{"key":"ref81","article-title":"The Finite Element Method: Linear Static and Dynamic Finite Element Analysis","author":"TJR Hughes","year":"2000"},{"key":"ref82","unstructured":"Balay S, Abhyankar S, Adams MF, Brown J, Brune P, Buschelman K, et al. PETSc: Home Page [Internet]. [cited 10 Aug 2015]. Available: <ext-link xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" ext-link-type=\"uri\" xlink:href=\"http:\/\/www.mcs.anl.gov\/petsc\/index.html\" xlink:type=\"simple\">http:\/\/www.mcs.anl.gov\/petsc\/index.html<\/ext-link>"},{"key":"ref83","first-page":"163","article-title":"Modern Software Tools for Scientific Computing","author":"S Balay","year":"1997"},{"key":"ref84","doi-asserted-by":"crossref","DOI":"10.7208\/chicago\/9780226764320.001.0001","article-title":"Navier-Stokes Equations","author":"P Constantin","year":"1988"},{"key":"ref85","doi-asserted-by":"crossref","first-page":"1747","DOI":"10.1161\/01.CIR.93.9.1747","article-title":"Atrial contractile dysfunction after short-term atrial fibrillation is reduced by verapamil but increased by BAY K8644","volume":"93","author":"E Leistad","year":"1996","journal-title":"Circulation"},{"key":"ref86","doi-asserted-by":"crossref","first-page":"230","DOI":"10.1016\/S0008-6363(02)00258-4","article-title":"Electrical, contractile and structural remodeling during atrial fibrillation","volume":"54","author":"M Allessie","year":"2002","journal-title":"Cardiovasc Res"},{"key":"ref87","doi-asserted-by":"crossref","first-page":"2551","DOI":"10.1161\/hc4601.099466","article-title":"Molecular Basis of Downregulation of G-Protein\u2014Coupled Inward Rectifying K+ Current (IK,ACh) in Chronic Human Atrial Fibrillation Decrease in GIRK4 mRNA Correlates With Reduced IK,ACh and Muscarinic Receptor\u2014Mediated Shortening of Action Potentials","volume":"104","author":"D Dobrev","year":"2001","journal-title":"Circulation"},{"key":"ref88","first-page":"309","article-title":"Cardiac Electrophysiology: From Cell to Bedside","author":"SV Pandit","year":"2014"},{"key":"ref89","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1161\/CIRCULATIONAHA.113.006641","article-title":"Cellular and molecular mechanisms of atrial arrhythmogenesis in patients with paroxysmal atrial fibrillation","volume":"129","author":"N Voigt","year":"2014","journal-title":"Circulation"},{"key":"ref90","doi-asserted-by":"crossref","first-page":"1055","DOI":"10.1161\/CIRCRESAHA.111.253955","article-title":"Human atrial action potential and Ca2+ model: sinus rhythm and chronic atrial fibrillation","volume":"109","author":"E Grandi","year":"2011","journal-title":"Circ Res"},{"key":"ref91","first-page":"S667","article-title":"Abstract 2630: Cellular and Molecular Determinants of Altered Atrial Ca2+ Signaling in Patients With Chronic Atrial Fibrillation","volume":"120","author":"N Voigt","year":"2009","journal-title":"Circulation"},{"key":"ref92","doi-asserted-by":"crossref","first-page":"691","DOI":"10.1161\/01.CIR.103.5.691","article-title":"Cellular mechanisms of depressed atrial contractility in patients with chronic atrial fibrillation","volume":"103","author":"U Schotten","year":"2001","journal-title":"Circulation"},{"key":"ref93","article-title":"Electromechanical Modeling of the Human Atria","author":"T Fritz","year":"2013","journal-title":"Biomed Tech (Berl)"},{"key":"ref94","doi-asserted-by":"crossref","first-page":"2749","DOI":"10.1142\/S0218202513500450","article-title":"A surface-based electrophysiology model relying on asymptotic analysis and motivated by cardiac atria modeling","volume":"23","author":"D Chapelle","year":"2013","journal-title":"Math Models Methods Appl Sci"},{"key":"ref95","first-page":"352","article-title":"Functional Imaging and Modeling of the Heart","author":"A Collin","year":"2013"},{"key":"ref96","article-title":"A two layers monodomain model of cardiac electrophysiology of the atria","author":"Y Coudi\u00e8re","year":"2015","journal-title":"J Math Biol"},{"key":"ref97","first-page":"M\u201361","article-title":"Multi-Scale Heart Simulation for Diagnostic and Therapy","volume":"51","author":"S Sugiura","year":"2013","journal-title":"BME"},{"key":"ref98","doi-asserted-by":"crossref","first-page":"1911","DOI":"10.1002\/cnm.1443","article-title":"A massively parallel computational electrophysiology model of the heart","volume":"27","author":"M V\u00e1zquez","year":"2011","journal-title":"Int J Numer Methods Biomed Eng"},{"key":"ref99","doi-asserted-by":"crossref","unstructured":"Lafortune, Aris R, V\u00e1zquez M, Houzeaux G. Coupled Electromechanical Model of the Heart: Parallel Finite Element formulation [Internet]. 2012.","DOI":"10.1002\/cnm.1494"},{"key":"ref100","doi-asserted-by":"crossref","first-page":"20120091","DOI":"10.1098\/rsfs.2012.0091","article-title":"Towards an interactive electromechanical model of the heart","volume":"3","author":"H Talbot","year":"2013","journal-title":"Interface Focus"},{"key":"ref101","doi-asserted-by":"crossref","first-page":"4","DOI":"10.1016\/j.jcp.2012.09.015","article-title":"Patient-specific models of cardiac biomechanics","volume":"244","author":"A Krishnamurthy","year":"2013","journal-title":"J Comput Phys"},{"key":"ref102","doi-asserted-by":"crossref","first-page":"e60287","DOI":"10.1371\/journal.pone.0060287","article-title":"Effects of Mechano-Electric Feedback on Scroll Wave Stability in Human Ventricular Fibrillation","volume":"8","author":"Y Hu","year":"2013","journal-title":"PLoS ONE"},{"key":"ref103","doi-asserted-by":"crossref","first-page":"829","DOI":"10.1007\/s10237-014-0639-8","article-title":"A high-resolution computational model of the deforming human heart","volume":"14","author":"V Gurev","year":"2015","journal-title":"Biomech Model Mechanobiol"},{"key":"ref104","doi-asserted-by":"crossref","first-page":"427","DOI":"10.1016\/j.ijcard.2005.11.041","article-title":"Atrial stunning as predictor of early relapse into atrial fibrillation after cardioversion","volume":"110","author":"V Climent","year":"2006","journal-title":"Int J Cardiol"},{"key":"ref105","doi-asserted-by":"crossref","first-page":"20120067","DOI":"10.1098\/rsfs.2012.0067","article-title":"A novel computational sheep atria model for the study of atrial fibrillation","volume":"3","author":"TD Butters","year":"2013","journal-title":"Interface Focus"},{"key":"ref106","doi-asserted-by":"crossref","first-page":"2","DOI":"10.1016\/j.pbiomolbio.2010.03.002","article-title":"Cardiac cell modelling: observations from the heart of the cardiac physiome project","volume":"104","author":"M Fink","year":"2011","journal-title":"Prog Biophys Mol Biol"},{"key":"ref107","doi-asserted-by":"crossref","first-page":"486","DOI":"10.1113\/expphysiol.2008.044610","article-title":"A meta-analysis of cardiac electrophysiology computational models","volume":"94","author":"MF S A Niederer","year":"2009","journal-title":"Exp Physiol"},{"key":"ref108","article-title":"Personalized Multi-Scale Modeling of the Atria: Heterogeneities, Fiber Architecture, Hemodialysis and Ablation Therapy","author":"MW Krueger","year":"2012"},{"key":"ref109","doi-asserted-by":"crossref","first-page":"192","DOI":"10.1016\/S0008-6363(01)00453-9","article-title":"Atrial fibrillation-induced atrial contractile dysfunction: a tachycardiomyopathy of a different sort","volume":"53","author":"U Schotten","year":"2002","journal-title":"Cardiovasc Res"}],"container-title":["PLOS ONE"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/dx.plos.org\/10.1371\/journal.pone.0142397","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,5,27]],"date-time":"2022-05-27T05:15:46Z","timestamp":1653628546000},"score":1,"resource":{"primary":{"URL":"https:\/\/dx.plos.org\/10.1371\/journal.pone.0142397"}},"subtitle":[],"editor":[{"given":"Alexander V","family":"Panfilov","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"editor"}]}],"short-title":[],"issued":{"date-parts":[[2015,11,25]]},"references-count":109,"journal-issue":{"issue":"11","published-online":{"date-parts":[[2015,11,25]]}},"URL":"https:\/\/doi.org\/10.1371\/journal.pone.0142397","relation":{},"ISSN":["1932-6203"],"issn-type":[{"value":"1932-6203","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,11,25]]}}}