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A one-dimensional m...
A one-dimensional model of a false aneurysm
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- Berntsson, Fredrik, 1971- (författare)
- Linköpings universitet,Beräkningsmatematik,Tekniska fakulteten
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- Karlsson, Matts (författare)
- Linköpings universitet,Mekanisk värmeteori och strömningslära,Tekniska fakulteten
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- Kozlov, Vladimir (författare)
- Linköpings universitet,Matematik och tillämpad matematik,Tekniska fakulteten
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- Nazarov, Sergey A. (författare)
- St Petersburg State University, St Petersburg State Polytechnical University, and Institute of Problems of Mechanical Engineering RAS, Russia.
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(creator_code:org_t)
- IJRES, 2017
- 2017
- Engelska.
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Ingår i: International Journal of Research in Engineering and Science (IJRES). - : IJRES. - 2320-9356 .- 2320-9364. ; 5:6, s. 61-73
- Relaterad länk:
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http://ijres.org/vol...
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https://liu.diva-por... (primary) (Raw object)
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https://urn.kb.se/re...
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Abstract
Ämnesord
Stäng
- A false aneurysm is a hematoma, i.e. collection ofblood outside of a blood vessel, that forms due to a hole in the wall of an artery . This represents a serious medical condition that needs to be monitored and, under certain conditions, treatedurgently. In this work a one-dimensional model of a false aneurysm isproposed. The new model is based on a one-dimensional model of anartery previously presented by the authors and it takes into accountthe interaction between the hematoma and the surrounding musclematerial. The model equations are derived using rigorous asymptoticanalysis for the case of a simplified geometry. Even though the model is simple it still supports a realisticbehavior for the system consisting of the vessel and the hematoma. Using numerical simulations we illustrate the behavior ofthe model. We also investigate the effect of changing the size of the hematoma. The simulations show that ourmodel can reproduce realistic solutions. For instance we show thetypical strong pulsation of an aneurysm by blood entering the hematoma during the work phase of the cardiac cycle, and the blood returning tothe vessel during the resting phase. Also we show that the aneurysmgrows if the pulse rate is increased due to, e.g., a higher work load.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
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