{"title":"Periodic breathing at high altitude.","authors":"Andrew C Fowler, G P Kalamangalam","doi":"","DOIUrl":null,"url":null,"abstract":"<p><p>Periodic breathing is often associated with heart disease or stroke, and commonly Cheyne-Stokes breathing has a period of about a minute. Periodic breathing also commonly occurs in healthy subjects at high altitude, and here the periods may be much shorter, of the order of 15-20 s. In this paper we study such periodic breathing using the classical model of Grodins et al. (1967, J. Appl. Physiol. 22, 260-276), together with a prescription for the dependence of ventilation on the blood CO2 concentration, modulated by the reduced oxygen pressure (the 'Oxford fan'). The model focusses on the fast dynamics of the arterial blood CO2, and differs in this respect from our previous work which emphasised the brain CO2 concentration; in this sense our model is in fact a generalization of the conceptually simpler Mackey-Glass model.</p>","PeriodicalId":77168,"journal":{"name":"IMA journal of mathematics applied in medicine and biology","volume":"19 4","pages":"293-313"},"PeriodicalIF":0.0000,"publicationDate":"2002-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IMA journal of mathematics applied in medicine and biology","FirstCategoryId":"1085","ListUrlMain":"","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Periodic breathing is often associated with heart disease or stroke, and commonly Cheyne-Stokes breathing has a period of about a minute. Periodic breathing also commonly occurs in healthy subjects at high altitude, and here the periods may be much shorter, of the order of 15-20 s. In this paper we study such periodic breathing using the classical model of Grodins et al. (1967, J. Appl. Physiol. 22, 260-276), together with a prescription for the dependence of ventilation on the blood CO2 concentration, modulated by the reduced oxygen pressure (the 'Oxford fan'). The model focusses on the fast dynamics of the arterial blood CO2, and differs in this respect from our previous work which emphasised the brain CO2 concentration; in this sense our model is in fact a generalization of the conceptually simpler Mackey-Glass model.
周期性呼吸通常与心脏病或中风有关,通常Cheyne-Stokes呼吸的周期约为一分钟。周期性呼吸也常见于高海拔地区的健康受试者,但周期可能短得多,约为15-20秒。在本文中,我们使用Grodins et al. (1967, J. appll .)的经典模型来研究这种周期性呼吸。《物理学报》,22,260-276页),同时还有一个处方,说明通气依赖于血液中的二氧化碳浓度,由降低的氧气压力(“牛津风扇”)调节。该模型侧重于动脉血液二氧化碳的快速动态,在这方面不同于我们之前强调大脑二氧化碳浓度的工作;从这个意义上说,我们的模型实际上是概念上更简单的麦基-格拉斯模型的推广。