mathematical model of blood, cerebrospinal fluid and brain dynamics
Using first principles of fluid and solid mechanics a comprehensive model of human intracranial dynamics is proposed. Blood, cerebrospinal fluid (CSF) and brain parenchyma as well as the spinal canal are included. The compartmental model predicts intracranial pressure gradients, blood and CSF flows...
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| Veröffentlicht in: | Journal of mathematical biology 2009-12, Vol.59 (6), p.729-759 |
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| container_title | Journal of mathematical biology |
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| creator | Linninger, Andreas A Xenos, Michalis Sweetman, Brian Ponkshe, Sukruti Guo, Xiaodong Penn, Richard |
| description | Using first principles of fluid and solid mechanics a comprehensive model of human intracranial dynamics is proposed. Blood, cerebrospinal fluid (CSF) and brain parenchyma as well as the spinal canal are included. The compartmental model predicts intracranial pressure gradients, blood and CSF flows and displacements in normal and pathological conditions like communicating hydrocephalus. The system of differential equations of first principles conservation balances is discretized and solved numerically. Fluid-solid interactions of the brain parenchyma with cerebral blood and CSF are calculated. The model provides the transitions from normal dynamics to the diseased state during the onset of communicating hydrocephalus. Predicted results were compared with physiological data from Cine phase-contrast magnetic resonance imaging to verify the dynamic model. Bolus injections into the CSF are simulated in the model and found to agree with clinical measurements. |
| doi_str_mv | 10.1007/s00285-009-0250-2 |
| format | Article |
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Blood, cerebrospinal fluid (CSF) and brain parenchyma as well as the spinal canal are included. The compartmental model predicts intracranial pressure gradients, blood and CSF flows and displacements in normal and pathological conditions like communicating hydrocephalus. The system of differential equations of first principles conservation balances is discretized and solved numerically. Fluid-solid interactions of the brain parenchyma with cerebral blood and CSF are calculated. The model provides the transitions from normal dynamics to the diseased state during the onset of communicating hydrocephalus. Predicted results were compared with physiological data from Cine phase-contrast magnetic resonance imaging to verify the dynamic model. Bolus injections into the CSF are simulated in the model and found to agree with clinical measurements.</description><identifier>ISSN: 0303-6812</identifier><identifier>EISSN: 1432-1416</identifier><identifier>DOI: 10.1007/s00285-009-0250-2</identifier><identifier>PMID: 19219605</identifier><language>eng</language><publisher>Berlin/Heidelberg: Berlin/Heidelberg : Springer-Verlag</publisher><subject>Algorithms ; Animals ; Applications of Mathematics ; Biomechanical Phenomena ; Blood Pressure - physiology ; Brain - physiology ; Brain - physiopathology ; cerebrospinal fluid ; Cerebrospinal Fluid - physiology ; Cerebrovascular Circulation - physiology ; Communicating hydrocephalus ; Computational fluid dynamics ; Computer Simulation ; Hemodynamics ; Humans ; Hydrocephalus - physiopathology ; Intracranial pressure ; Intracranial Pressure - physiology ; Magnetic Resonance Imaging, Cine ; Mathematical and Computational Biology ; mathematical models ; Mathematics ; Mathematics and Statistics ; Models, Biological ; Models, Cardiovascular ; Rheology ; Spinal Cord - physiology</subject><ispartof>Journal of mathematical biology, 2009-12, Vol.59 (6), p.729-759</ispartof><rights>Springer-Verlag 2009</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c491t-e77c717e1164d7486b721cb22c49ab1fa49af02f45195cd9069854803f1f03823</citedby><cites>FETCH-LOGICAL-c491t-e77c717e1164d7486b721cb22c49ab1fa49af02f45195cd9069854803f1f03823</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s00285-009-0250-2$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s00285-009-0250-2$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/19219605$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Linninger, Andreas A</creatorcontrib><creatorcontrib>Xenos, Michalis</creatorcontrib><creatorcontrib>Sweetman, Brian</creatorcontrib><creatorcontrib>Ponkshe, Sukruti</creatorcontrib><creatorcontrib>Guo, Xiaodong</creatorcontrib><creatorcontrib>Penn, Richard</creatorcontrib><title>mathematical model of blood, cerebrospinal fluid and brain dynamics</title><title>Journal of mathematical biology</title><addtitle>J. Math. Biol</addtitle><addtitle>J Math Biol</addtitle><description>Using first principles of fluid and solid mechanics a comprehensive model of human intracranial dynamics is proposed. Blood, cerebrospinal fluid (CSF) and brain parenchyma as well as the spinal canal are included. The compartmental model predicts intracranial pressure gradients, blood and CSF flows and displacements in normal and pathological conditions like communicating hydrocephalus. The system of differential equations of first principles conservation balances is discretized and solved numerically. Fluid-solid interactions of the brain parenchyma with cerebral blood and CSF are calculated. The model provides the transitions from normal dynamics to the diseased state during the onset of communicating hydrocephalus. Predicted results were compared with physiological data from Cine phase-contrast magnetic resonance imaging to verify the dynamic model. Bolus injections into the CSF are simulated in the model and found to agree with clinical measurements.</description><subject>Algorithms</subject><subject>Animals</subject><subject>Applications of Mathematics</subject><subject>Biomechanical Phenomena</subject><subject>Blood Pressure - physiology</subject><subject>Brain - physiology</subject><subject>Brain - physiopathology</subject><subject>cerebrospinal fluid</subject><subject>Cerebrospinal Fluid - physiology</subject><subject>Cerebrovascular Circulation - physiology</subject><subject>Communicating hydrocephalus</subject><subject>Computational fluid dynamics</subject><subject>Computer Simulation</subject><subject>Hemodynamics</subject><subject>Humans</subject><subject>Hydrocephalus - physiopathology</subject><subject>Intracranial pressure</subject><subject>Intracranial Pressure - physiology</subject><subject>Magnetic Resonance Imaging, Cine</subject><subject>Mathematical and Computational Biology</subject><subject>mathematical models</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Models, Biological</subject><subject>Models, Cardiovascular</subject><subject>Rheology</subject><subject>Spinal Cord - 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Academic</collection><jtitle>Journal of mathematical biology</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Linninger, Andreas A</au><au>Xenos, Michalis</au><au>Sweetman, Brian</au><au>Ponkshe, Sukruti</au><au>Guo, Xiaodong</au><au>Penn, Richard</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>mathematical model of blood, cerebrospinal fluid and brain dynamics</atitle><jtitle>Journal of mathematical biology</jtitle><stitle>J. 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| identifier | ISSN: 0303-6812 |
| ispartof | Journal of mathematical biology, 2009-12, Vol.59 (6), p.729-759 |
| issn | 0303-6812 1432-1416 |
| language | eng |
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| subjects | Algorithms Animals Applications of Mathematics Biomechanical Phenomena Blood Pressure - physiology Brain - physiology Brain - physiopathology cerebrospinal fluid Cerebrospinal Fluid - physiology Cerebrovascular Circulation - physiology Communicating hydrocephalus Computational fluid dynamics Computer Simulation Hemodynamics Humans Hydrocephalus - physiopathology Intracranial pressure Intracranial Pressure - physiology Magnetic Resonance Imaging, Cine Mathematical and Computational Biology mathematical models Mathematics Mathematics and Statistics Models, Biological Models, Cardiovascular Rheology Spinal Cord - physiology |
| title | mathematical model of blood, cerebrospinal fluid and brain dynamics |
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