{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,21]],"date-time":"2025-08-21T16:47:00Z","timestamp":1755794820225,"version":"3.37.3"},"reference-count":51,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2016,12,1]],"date-time":"2016-12-01T00:00:00Z","timestamp":1480550400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Journal of Theoretical Biology"],"published-print":{"date-parts":[[2016,12]]},"DOI":"10.1016\/j.jtbi.2016.10.002","type":"journal-article","created":{"date-parts":[[2016,10,16]],"date-time":"2016-10-16T05:18:40Z","timestamp":1476595120000},"page":"92-101","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":7,"special_numbering":"C","title":["Ventilatory oscillations at exercise in hypoxia: A mathematical model"],"prefix":"10.1016","volume":"411","author":[{"given":"Eric","family":"Hermand","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fran\u00e7ois J.","family":"Lhuissier","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nicolas","family":"Voituron","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jean-Paul","family":"Richalet","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/j.jtbi.2016.10.002_bib1","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1016\/j.mbs.2011.08.006","article-title":"Time delay in physiological systems: analyzing and modeling its impact","volume":"234","author":"Batzel","year":"2011","journal-title":"Math. Biosci."},{"key":"10.1016\/j.jtbi.2016.10.002_bib2","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1183\/09031936.06.00075405","article-title":"Enhanced chemo-responsiveness in patients with sleep apnoea and end-stage renal disease","volume":"28","author":"Beecroft","year":"2006","journal-title":"Eur. Respir. J."},{"key":"10.1016\/j.jtbi.2016.10.002_bib3","doi-asserted-by":"crossref","first-page":"36","DOI":"10.1016\/0034-5687(71)90063-6","article-title":"The responses of carotid body chemoreceptors in the cat to sudden changes of hypercapnic and hypoxic stimuli","volume":"13","author":"Black","year":"1971","journal-title":"Respir. Physiol."},{"key":"10.1016\/j.jtbi.2016.10.002_bib4","doi-asserted-by":"crossref","first-page":"2455","DOI":"10.1113\/jphysiol.2010.187211","article-title":"Peripheral chemoreceptors determine the respiratory sensitivity of central chemoreceptors to CO2: peripheral-central chemoreceptor interdependence","volume":"588","author":"Blain","year":"2010","journal-title":"J. Physiol."},{"key":"10.1016\/j.jtbi.2016.10.002_bib5","doi-asserted-by":"crossref","first-page":"9","DOI":"10.1113\/jphysiol.1987.sp016392","article-title":"The effect of exercise on the central-chemoreceptor threshold in man","volume":"383","author":"Casey","year":"1987","journal-title":"J. Physiol."},{"key":"10.1016\/j.jtbi.2016.10.002_bib6","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1113\/expphysiol.2005.032268","article-title":"Mathematical models of periodic breathing and their usefulness in understanding cardiovascular and respiratory disorders","volume":"91","author":"Cherniack","year":"2005","journal-title":"Exp. Physiol."},{"issue":"Suppl. 2","key":"10.1016\/j.jtbi.2016.10.002_bib7","first-page":"S332","article-title":"Respiratory quotient during moderate muscular exercise in hypoxia and normoxia","volume":"61","author":"de Lattre","year":"1969","journal-title":"J. Physiol."},{"key":"10.1016\/j.jtbi.2016.10.002_bib8","doi-asserted-by":"crossref","first-page":"230","DOI":"10.1016\/j.resp.2010.03.010","article-title":"The role of the central chemoreceptors: a modeling perspective","volume":"173","author":"Duffin","year":"2010","journal-title":"Respir. Physiol. Neurobiol."},{"key":"10.1016\/j.jtbi.2016.10.002_bib9","doi-asserted-by":"crossref","first-page":"2255","DOI":"10.1152\/japplphysiol.00640.2005","article-title":"Role of acid-base balance in the chemoreflex control of breathing","volume":"99","author":"Duffin","year":"2005","journal-title":"J. Appl. Physiol."},{"doi-asserted-by":"crossref","unstructured":"Fan, H.-H., Khoo, M.C.K., 2002. PNEUMA - a comprehensive cardiorespiratory model, in: Engineering in Medicine and Biology, 2002. In: Proceedings of the 24th Annual Conference and the Annual Fall Meeting of the Biomedical Engineering Society EMBS\/BMES Conference, 2002. Proceedings of the Second Joint. Presented at the Engineering in Medi In: Proceedings of the 24th Annual Conference and the Annual Fall Meeting of the Biomedical Engineering Society EMBS\/BMES ring Society EMBS\/BMES Conference, 2002. Proceedings of the Second Joint, pp. 1533\u20131534 vol. 2. \u3008http:\/\/dx.doi.org\/10.1109\/IEMBS.2002.1106522\u3009.","key":"10.1016\/j.jtbi.2016.10.002_bib10","DOI":"10.1109\/IEMBS.2002.1106522"},{"key":"10.1016\/j.jtbi.2016.10.002_bib11","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1007\/BF01057171","article-title":"Mechanoreceptor system of the respiratory center and its contribution to respiratory control","volume":"24","author":"Fenik","year":"1992","journal-title":"Neurophysiology"},{"key":"10.1016\/j.jtbi.2016.10.002_bib12","first-page":"707","article-title":"Periodic breathing during ascent to extreme altitude quantified by spectral analysis of the respiratory volume signal","volume":"2012","author":"Garde","year":"2012","journal-title":"Conf. Proc. IEEE Eng. Med. Biol. Soc."},{"key":"10.1016\/j.jtbi.2016.10.002_bib13","doi-asserted-by":"crossref","first-page":"260","DOI":"10.1152\/jappl.1967.22.2.260","article-title":"Mathematical analysis and digital simulation of the respiratory control system","volume":"22","author":"Grodins","year":"1967","journal-title":"J. Appl. Physiol."},{"key":"10.1016\/j.jtbi.2016.10.002_bib14","doi-asserted-by":"crossref","first-page":"376","DOI":"10.1164\/ajrccm.154.2.8756809","article-title":"Cycle length of periodic breathing in patients with and without heart failure","volume":"154","author":"Hall","year":"1996","journal-title":"Am. J. Respir. Crit. Care Med."},{"key":"10.1016\/j.jtbi.2016.10.002_bib15","first-page":"3","article-title":"Ventilatory oscillations at exercise: effects of hyperoxia, hypercapnia, and acetazolamide","author":"Hermand","year":"2015","journal-title":"Physiol. Rep."},{"key":"10.1016\/j.jtbi.2016.10.002_bib16","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1152\/japplphysiol.00832.2014","article-title":"Periodic breathing in healthy humans at exercise in hypoxia","volume":"118","author":"Hermand","year":"2015","journal-title":"J. Appl. Physiol."},{"key":"10.1016\/j.jtbi.2016.10.002_bib17","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1007\/BF00422485","article-title":"Effects of positive and negative exercise on ventilatory CO2 sensitivity","volume":"47","author":"Hulsbosch","year":"1981","journal-title":"Eur. J. Appl. Physiol. Occup. Physiol."},{"key":"10.1016\/j.jtbi.2016.10.002_bib18","doi-asserted-by":"crossref","first-page":"949","DOI":"10.1056\/NEJM199909233411304","article-title":"A mechanism of central sleep apnea in patients with heart failure","volume":"341","author":"Javaheri","year":"1999","journal-title":"N. Engl. J. Med."},{"key":"10.1016\/j.jtbi.2016.10.002_bib19","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1016\/0034-5687(90)90074-9","article-title":"Hypoxic depression of ventilation in humans: alternative models for the chemoreflexes","volume":"81","author":"Khamnei","year":"1990","journal-title":"Respir. Physiol."},{"key":"10.1016\/j.jtbi.2016.10.002_bib20","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1016\/S0034-5687(00)00157-2","article-title":"Determinants of ventilatory instability and variability","volume":"122","author":"Khoo","year":"2000","journal-title":"Respir. Physiol."},{"key":"10.1016\/j.jtbi.2016.10.002_bib21","doi-asserted-by":"crossref","first-page":"644","DOI":"10.1152\/jappl.1982.53.3.644","article-title":"Factors inducing periodic breathing in humans: a general model","volume":"53","author":"Khoo","year":"1982","journal-title":"J. Appl. Physiol."},{"key":"10.1016\/j.jtbi.2016.10.002_bib22","doi-asserted-by":"crossref","first-page":"458","DOI":"10.1111\/j.1600-0838.2011.01403.x","article-title":"Acclimatization improves submaximal exercise economy at 5533m","volume":"23","author":"Latshang","year":"2013","journal-title":"Scand. J. Med. Sci. Sports"},{"key":"10.1016\/j.jtbi.2016.10.002_bib23","doi-asserted-by":"crossref","first-page":"566","DOI":"10.1152\/japplphysiol.00906.2011","article-title":"Ventilatory and cardiac responses to hypoxia at submaximal exercise are independent of altitude and exercise intensity","volume":"112","author":"Lhuissier","year":"2012","journal-title":"J. Appl. Physiol."},{"key":"10.1016\/j.jtbi.2016.10.002_bib24","doi-asserted-by":"crossref","first-page":"311","DOI":"10.1016\/0034-5687(82)90026-3","article-title":"Sleep apnea considered as a control system instability","volume":"50","author":"Longobardo","year":"1982","journal-title":"Respir. Physiol."},{"key":"10.1016\/j.jtbi.2016.10.002_bib25","doi-asserted-by":"crossref","first-page":"539","DOI":"10.1113\/jphysiol.1992.sp019393","article-title":"Dynamics of the ventilatory response in man to step changes of end-tidal carbon dioxide and of hypoxia during exercise","volume":"457","author":"MacFarlane","year":"1992","journal-title":"J. Physiol."},{"key":"10.1016\/j.jtbi.2016.10.002_bib26","doi-asserted-by":"crossref","first-page":"84","DOI":"10.1152\/jappl.1988.64.1.84","article-title":"Single breath of CO2 as a clinical test of the peripheral chemoreflex","volume":"64","author":"McClean","year":"1988","journal-title":"J. Appl. Physiol."},{"year":"2014","author":"Milton","series-title":"Mathematics as a Laboratory Tool - Dynamics, Delays and Noise","key":"10.1016\/j.jtbi.2016.10.002_bib27"},{"key":"10.1016\/j.jtbi.2016.10.002_bib28","doi-asserted-by":"crossref","first-page":"1370","DOI":"10.1152\/japplphysiol.00573.2009","article-title":"Cerebral blood flow during exercise: mechanisms of regulation","volume":"107","author":"Ogoh","year":"2009","journal-title":"J. Appl. Physiol."},{"key":"10.1016\/j.jtbi.2016.10.002_bib29","doi-asserted-by":"crossref","first-page":"168","DOI":"10.1089\/ham.2012.1111","article-title":"Dead space mask eliminates central apnea at altitude","volume":"14","author":"Patz","year":"2013","journal-title":"High Alt. Med. Biol."},{"key":"10.1016\/j.jtbi.2016.10.002_bib30","doi-asserted-by":"crossref","first-page":"1527","DOI":"10.1113\/JP271901","article-title":"The peripheral-central chemoreflex interaction: where do we stand and what is the next step?","volume":"594","author":"Paula-Ribeiro","year":"2016","journal-title":"J. Physiol."},{"key":"10.1016\/j.jtbi.2016.10.002_bib31","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1111\/j.1469-7793.1999.00273.x","article-title":"Identification of fast and slow ventilatory responses to carbon dioxide under hypoxic and hyperoxic conditions in humans","volume":"521","author":"Pedersen","year":"1999","journal-title":"J. Physiol."},{"key":"10.1016\/j.jtbi.2016.10.002_bib32","doi-asserted-by":"crossref","first-page":"360","DOI":"10.1007\/BF00865034","article-title":"Change in the peripheral CO2 chemoreflex from rest to exercise","volume":"70","author":"Pianosi","year":"1995","journal-title":"Eur. J. Appl. Physiol. Occup. Physiol."},{"key":"10.1016\/j.jtbi.2016.10.002_bib33","doi-asserted-by":"crossref","first-page":"544","DOI":"10.1161\/hc3101.093699","article-title":"Peripheral chemoreceptor hypersensitivity: an ominous sign in patients with chronic heart failure","volume":"104","author":"Ponikowski","year":"2001","journal-title":"Circulation"},{"key":"10.1016\/j.jtbi.2016.10.002_bib34","doi-asserted-by":"crossref","first-page":"20","DOI":"10.1111\/imj.1967.16.1.20","article-title":"A clinical method for assessing the ventilatory response to carbon dioxide","volume":"16","author":"Read","year":"1967","journal-title":"Austral. Ann. Med."},{"unstructured":"Richalet, J., 1991. Pratique de l'identification. Herm\u00e8s: Paris.","key":"10.1016\/j.jtbi.2016.10.002_bib35"},{"key":"10.1016\/j.jtbi.2016.10.002_bib36","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1016\/S0022-5193(80)81041-1","article-title":"A breathing model of the respiratory system; the controlled system","volume":"84","author":"Saunders","year":"1980","journal-title":"J. Theor. Biol."},{"key":"10.1016\/j.jtbi.2016.10.002_bib37","doi-asserted-by":"crossref","first-page":"4225","DOI":"10.1113\/JP270114","article-title":"Peripheral chemoreceptors determine the respiratory sensitivity of central chemoreceptors to CO2: role of carotid body CO2","volume":"593","author":"Smith","year":"2015","journal-title":"J. Physiol."},{"key":"10.1016\/j.jtbi.2016.10.002_bib38","doi-asserted-by":"crossref","first-page":"152","DOI":"10.1016\/j.tins.2012.11.004","article-title":"Brainstem respiratory networks: building blocks and microcircuits","volume":"36","author":"Smith","year":"2013","journal-title":"Trends Neurosci."},{"key":"10.1016\/j.jtbi.2016.10.002_bib39","doi-asserted-by":"crossref","first-page":"202","DOI":"10.1007\/BF02425477","article-title":"Hypoxic ventilatory response during rest and exercise after a Himalayan expedition","volume":"73","author":"Steinacker","year":"1996","journal-title":"Eur. J. Appl. Physiol. Occup. Physiol."},{"key":"10.1016\/j.jtbi.2016.10.002_bib40","doi-asserted-by":"crossref","first-page":"1798","DOI":"10.1152\/jappl.2001.90.5.1798","article-title":"Carbon dioxide pressure-concentration relationship in arterial and mixed venous blood during exercise","volume":"90","author":"Sun","year":"2001","journal-title":"J. Appl. Physiol."},{"key":"10.1016\/j.jtbi.2016.10.002_bib41","doi-asserted-by":"crossref","first-page":"359","DOI":"10.1016\/0034-5687(82)90029-9","article-title":"Dynamics of brain extracellular fluid pH and phrenic nerve activity in cats after end-tidal CO2 forcing","volume":"50","author":"Teppema","year":"1982","journal-title":"Respir. Physiol."},{"unstructured":"Thamrin, H., Murray-Smith, D.J., 2009. A mathematical model of the human respiratory system during exercise [WWW Document]. URL (accessed 06.30.15).","key":"10.1016\/j.jtbi.2016.10.002_bib42"},{"key":"10.1016\/j.jtbi.2016.10.002_bib43","doi-asserted-by":"crossref","first-page":"41","DOI":"10.5665\/sleep.2298","article-title":"Obstructive sleep apnea is associated with increased chemoreflex sensitivity in patients with metabolic syndrome","volume":"36","author":"Trombetta","year":"2013","journal-title":"Sleep"},{"key":"10.1016\/j.jtbi.2016.10.002_bib44","doi-asserted-by":"crossref","first-page":"465","DOI":"10.1046\/j.1365-2281.2001.00350.x","article-title":"An integrated model of the human ventilatory control system: the response to hypoxia","volume":"21","author":"Ursino","year":"2001","journal-title":"Clin. Physiol."},{"key":"10.1016\/j.jtbi.2016.10.002_bib45","doi-asserted-by":"crossref","first-page":"719","DOI":"10.1249\/00005768-199106000-00011","article-title":"Ventilatory response to sustained hypoxia during exercise","volume":"23","author":"Ward","year":"1991","journal-title":"Med. Sci. Sports Exerc."},{"key":"10.1016\/j.jtbi.2016.10.002_bib46","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1152\/jappl.1967.22.1.71","article-title":"Interaction of physiological mechanisms during exercise","volume":"22","author":"Wasserman","year":"1967","journal-title":"J. Appl. Physiol."},{"key":"10.1016\/j.jtbi.2016.10.002_bib47","doi-asserted-by":"crossref","first-page":"1061","DOI":"10.1172\/JCI106322","article-title":"Hypoxic ventilatory drive in normal man","volume":"49","author":"Weil","year":"1970","journal-title":"J. Clin. Investig."},{"key":"10.1016\/j.jtbi.2016.10.002_bib48","doi-asserted-by":"crossref","first-page":"2003","DOI":"10.1007\/s10439-007-9361-3","article-title":"A mathematical model of human respiration at altitude","volume":"35","author":"Wolf","year":"2007","journal-title":"Ann. Biomed. Eng."},{"key":"10.1016\/j.jtbi.2016.10.002_bib49","doi-asserted-by":"crossref","first-page":"431","DOI":"10.1111\/j.1600-0838.2006.00577.x","article-title":"Moderate exercise in hypoxia induces a greater arterial desaturation in trained than untrained men","volume":"17","author":"Woorons","year":"2007","journal-title":"Scand. J. Med. Sci. Sports"},{"key":"10.1016\/j.jtbi.2016.10.002_bib50","doi-asserted-by":"crossref","first-page":"918","DOI":"10.1152\/jappl.1997.82.3.918","article-title":"Effects of inhaled CO2 and added dead space on idiopathic central sleep apnea","volume":"82","author":"Xie","year":"1997","journal-title":"J. Appl. Physiol."},{"key":"10.1016\/j.jtbi.2016.10.002_bib51","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1007\/978-94-007-4584-1_19","article-title":"Shifting from hypoxia to hyperoxia to assess the peripheral chemosensory drive of ventilation","volume":"758","author":"Zapata","year":"2012","journal-title":"Adv. Exp. Med. Biol."}],"container-title":["Journal of Theoretical Biology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0022519316303241?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0022519316303241?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2024,6,19]],"date-time":"2024-06-19T23:39:30Z","timestamp":1718840370000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0022519316303241"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,12]]},"references-count":51,"alternative-id":["S0022519316303241"],"URL":"https:\/\/doi.org\/10.1016\/j.jtbi.2016.10.002","relation":{},"ISSN":["0022-5193"],"issn-type":[{"type":"print","value":"0022-5193"}],"subject":[],"published":{"date-parts":[[2016,12]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Ventilatory oscillations at exercise in hypoxia: A mathematical model","name":"articletitle","label":"Article Title"},{"value":"Journal of Theoretical Biology","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.jtbi.2016.10.002","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2016 Elsevier Ltd. All rights reserved.","name":"copyright","label":"Copyright"}]}}