umu.sePublikationer
Ändra sökning
RefereraExporteraLänk till posten
Permanent länk

Direktlänk
Referera
Referensformat
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Annat format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annat språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf
Effects of Physiological Variations
Umeå universitet, Teknisk-naturvetenskapliga fakulteten, Institutionen för matematik och matematisk statistik.
2006 (Engelska)Självständigt arbete på grundnivå (kandidatexamen), 10 poäng / 15 hpStudentuppsats (Examensarbete)
Abstract [en]

Heart ischemia, the precursor to an infarction, is one of the most common diseases in the western world. Today, the electrocardiogram or ECG is the most widely used tool to diagnose the disease. However, it often fails to detect the ischemia or to give an adequate picture of the size and location.

Therefore, the potential of increasing knowledge obtained through mathe- matical models is very high. In this thesis the bidomain model is used to describe the electrical activity in the heart and body with ischemia incorporated into the model. To solve the equations set up by the bidomain model, the finite element method is used. Different physiological variations have been made to the body, these include changing the location of the heart and varying the conductivities in the body. The solution to the equations is then studied at the body surface. The main question asked is whether it is possible to detect the location and size of different types of ischemia by analyzing the solution.

The methods used for this have been Singular Value Decomposition and Su- pervised learning. The different vectors obtained from the decomposition are used to distinguish the location and size of the ischemia for different physiolog- ical variations.

The results show that it is possible to distinguish the location of the ischemia but that it probably will be more difficult to find the correct size since the change in size is harder to separate from other physiological variations, such as the conductivity of the body.

Although relatively simple methods have been used, they indicate that, with further development, they can be used for the purpose of detecting the different ischemia. 

Ort, förlag, år, upplaga, sidor
2006. , s. 43
Nationell ämneskategori
Matematik
Identifikatorer
URN: urn:nbn:se:umu:diva-51310OAI: oai:DiVA.org:umu-51310DiVA, id: diva2:478990
Uppsök
fysik/kemi/matematik
Tillgänglig från: 2012-03-01 Skapad: 2012-01-17 Senast uppdaterad: 2012-03-01Bibliografiskt granskad

Open Access i DiVA

fulltext(978 kB)107 nedladdningar
Filinformation
Filnamn FULLTEXT01.pdfFilstorlek 978 kBChecksumma SHA-512
470143573a01f5a9a46dd3532f75054fdc77d14084538767806c273a04dc37fc8d297bc18eb3231ee5c4a3ba5dd80240b51178de2881040c9a9a6058afd2049a
Typ fulltextMimetyp application/pdf

Av organisationen
Institutionen för matematik och matematisk statistik
Matematik

Sök vidare utanför DiVA

GoogleGoogle Scholar
Totalt: 107 nedladdningar
Antalet nedladdningar är summan av nedladdningar för alla fulltexter. Det kan inkludera t.ex tidigare versioner som nu inte längre är tillgängliga.

urn-nbn

Altmetricpoäng

urn-nbn
Totalt: 420 träffar
RefereraExporteraLänk till posten
Permanent länk

Direktlänk
Referera
Referensformat
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Annat format
Fler format
Språk
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Annat språk
Fler språk
Utmatningsformat
  • html
  • text
  • asciidoc
  • rtf