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Hjärnans biofluidmekanik: modellering av flödet genom cerebrala akvedukten
Karlstad University, Faculty of Health, Science and Technology (starting 2013).
2020 (Swedish)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesisAlternative title
Fluidmechanics of the human brain: a flow model of the cerebral aqueduct (English)
Abstract [sv]

För att utveckla kunskapen om cirkulerande vätskor i människans kropp krävs kunskap om flödesdynamik för att undgå att utföra komplicerade mätningar i kroppens känsliga områden. Med magnetisk resonanstomografi (MR) kan cere- brospinalvätskans hastighet läsas av och sedan kan användas för att modellera trycket i denna vätska. I detta arbete var syftet att göra en förenklad matema- tisk modell över hur flödet och trycket förändras över den cerebrala akvedukten. För att ha data att koppla modellen till, applicerades den på ett experiment där en glasmodell skulle motsvara akvedukten. Den matematiska modellen byggdes med hjälp av Womersleys och Frys lösning för flöde i ett rörliknande system och kopplades sedan till el-lära. Lösningen bygger på analogin till en el-krets och är en lumpad modell, vilket innebär att modellan bara kollar på vissa viktiga punkter men förlorar rumsupplösning. I detta arbete tas inte övergångarna med och resul- tatet visar att tryckskillnaden som sker på grund av växelströmmen är framförallt i avsmalningen medan delen när radien ökar visar sig ha mindre betydelse.

Abstract [en]

To extend the knowledge about circulating fluids in the human body, information about fluid mechanics is necessary to avoid complicated measurement in sensitive parts of the body. With magnetic resonance imaging (MRI) the velocity of the cerebrospinal fluid can be measured. The velocity can then be used for modeling the pressure of the fluid. In this bachelor’s thesis the purpose was to create a simplified mathematical model for the change of flow and pressure over the cerebral aqueduct. The mathematical model was constructed with the help of Womersley’s and Fry’s solutions of flow in pipe-like systems. It was then related to electrical theory, and the solution is built on the analogy to an electrical circuit. It is a lumped parameter model, which means that the model can estimate specific points of interest, but it loses spatial resolution. The mathematical model was also applied to an experiment, where the flow of water through a glass-model simulated the aqueduct. In this work the radial transitions of the aqueduct were not considered. The result showed that the pressure difference that occurred due to the alternating current was mainly caused by the decrease of the radius going into the aqueduct, while the increased radius going out of the aqueduct turned out to be of less significance.

Place, publisher, year, edition, pages
2020. , p. 36
Keywords [sv]
Medicinsk fysik, Womersley, Fry, Elkrets, Cerebrala akvedukten
National Category
Medical and Health Sciences Engineering and Technology
Identifiers
URN: urn:nbn:se:kau:diva-77049OAI: oai:DiVA.org:kau-77049DiVA, id: diva2:1396161
External cooperation
Umeå universitet
Subject / course
Physics
Educational program
Engineering: Engineering Physics (300 ECTS credits)
Supervisors
Examiners
Available from: 2020-02-27 Created: 2020-02-25 Last updated: 2020-02-27Bibliographically approved

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