{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,12]],"date-time":"2024-09-12T19:55:12Z","timestamp":1726170912020},"reference-count":16,"publisher":"Hindawi Limited","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100006204","name":"Buhl-Strohmaier-Stiftung","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100006204","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computational and Mathematical Methods in Medicine"],"published-print":{"date-parts":[[2014]]},"abstract":"Impaired cerebral autoregulation leads to fluctuations in cerebral blood flow, which can be especially dangerous for immature brain of preterm newborns. In this paper, two mathematical models of cerebral autoregulation are discussed. The first one is an enhancement of a vascular model proposed by Piechnik et al. We extend this model by adding a polynomial dependence of the vascular radius on the arterial blood pressure and adjusting the polynomial coefficients to experimental data to gain the autoregulation behavior. Moreover, the inclusion of a Preisach hysteresis operator, simulating a hysteretic dependence of the cerebral blood flow on the arterial pressure, is tested. The second model couples the blood vessel system model by Piechnik et al. with an ordinary differential equation model of cerebral autoregulation by Ursino and Lodi. An optimal control setting is proposed for a simplified variant of this coupled model. The objective of the control is the maintenance of the autoregulatory function for a wider range of the arterial pressure. The control can be interpreted as the effect of a medicament changing the cerebral blood flow by, for example, dilation of blood vessels. Advanced numerical methods developed by the authors are applied for the numerical treatment of the control problem.<\/jats:p>","DOI":"10.1155\/2014\/965275","type":"journal-article","created":{"date-parts":[[2014,7,13]],"date-time":"2014-07-13T21:08:01Z","timestamp":1405285681000},"page":"1-9","source":"Crossref","is-referenced-by-count":17,"title":["Mathematical Modelling of Cerebral Blood Circulation and Cerebral Autoregulation: Towards Preventing Intracranial Hemorrhages in Preterm Newborns"],"prefix":"10.1155","volume":"2014","author":[{"ORCID":"http:\/\/orcid.org\/0000-0002-1016-0249","authenticated-orcid":true,"given":"Ren\u00e9e","family":"Lampe","sequence":"first","affiliation":[{"name":"Research Unit of Buhl-Strohmaier-Foundation for Children Orthopedics and Cerebral Palsy, Department of Orthopaedics, Clinic \u201cRechts der Isar\u201d, Technische Universit\u00e4t M\u00fcnchen, 81675 M\u00fcnchen, Germany"}]},{"given":"Nikolai","family":"Botkin","sequence":"additional","affiliation":[{"name":"Chair of Mathematical Modelling, Center for Mathematics, Technische Universit\u00e4t M\u00fcnchen, 85748 Garching, Germany"}]},{"ORCID":"http:\/\/orcid.org\/0000-0002-6613-3311","authenticated-orcid":true,"given":"Varvara","family":"Turova","sequence":"additional","affiliation":[{"name":"Research Unit of Buhl-Strohmaier-Foundation for Children Orthopedics and Cerebral Palsy, Department of Orthopaedics, Clinic \u201cRechts der Isar\u201d, Technische Universit\u00e4t M\u00fcnchen, 81675 M\u00fcnchen, Germany"}]},{"ORCID":"http:\/\/orcid.org\/0000-0002-6997-5952","authenticated-orcid":true,"given":"Tobias","family":"Blumenstein","sequence":"additional","affiliation":[{"name":"Research Unit of Buhl-Strohmaier-Foundation for Children Orthopedics and Cerebral Palsy, Department of Orthopaedics, Clinic \u201cRechts der Isar\u201d, Technische Universit\u00e4t M\u00fcnchen, 81675 M\u00fcnchen, Germany"}]},{"given":"Ana","family":"Alves-Pinto","sequence":"additional","affiliation":[{"name":"Research Unit of Buhl-Strohmaier-Foundation for Children Orthopedics and Cerebral Palsy, Department of Orthopaedics, Clinic \u201cRechts der Isar\u201d, Technische Universit\u00e4t M\u00fcnchen, 81675 M\u00fcnchen, Germany"}]}],"member":"98","reference":[{"issue":"3","key":"1","first-page":"H1089","volume":"277","year":"1999","journal-title":"American Journal of Physiology: Heart and Circulatory Physiology"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.2174\/1874230001206010042"},{"issue":"2","key":"3","first-page":"R611","volume":"282","year":"2002","journal-title":"The American Journal of Physiology: Regulatory Integrative and Comparative Physiology"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1002\/fld.1606"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1152\/ajpheart.00303.2012"},{"issue":"4","key":"6","doi-asserted-by":"crossref","first-page":"1256","DOI":"10.1152\/jappl.1997.82.4.1256","volume":"82","year":"1997","journal-title":"Journal of Applied Physiology"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1016\/j.neuroimage.2007.08.022"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1203\/01.pdr.0000182180.80645.0c"},{"issue":"8","key":"9","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1542\/neo.3-8-e145","volume":"3","year":"2002","journal-title":"Neoreviews"},{"key":"10","year":"2008"},{"key":"11"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1089\/neu.2008.0784"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1161\/HYPERTENSIONAHA.110.152066"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1161\/STROKEAHA.106.473462"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1137\/100801068"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1524\/anly.2011.1122"}],"container-title":["Computational and Mathematical Methods in Medicine"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/cmmm\/2014\/965275.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/cmmm\/2014\/965275.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/cmmm\/2014\/965275.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,12]],"date-time":"2019-08-12T19:16:12Z","timestamp":1565637372000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/cmmm\/2014\/965275\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":16,"alternative-id":["965275","965275"],"URL":"https:\/\/doi.org\/10.1155\/2014\/965275","relation":{},"ISSN":["1748-670X","1748-6718"],"issn-type":[{"value":"1748-670X","type":"print"},{"value":"1748-6718","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014]]}}}