Matches in SemOpenAlex for { <https://semopenalex.org/work/W2899604812> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W2899604812 abstract "In this thesis we investigate a sequence of important inverse problems associated with the bio-heat transient flow equation which models the heat transfer within the human body. Given the physical importance of the blood perfusion coefficient that appears in the bio-heat equation, attention is focused on the inverse problems concerning the accurate recovery of this information when exact and noisy measurements are considered in terms of the mass, flux, or temperature, which we sampled over the specific regions of the media under investigation. Five different cases are considered for the retrieval of the perfusion coefficient, namely when this parameter is assumed to be either constant, or dependent on time, space, temperature, or on both space and time. Theanalytica:l and numerical techniques that arc used to investigate the existence and uniqueness of the solution for this inverse coefficient identification are embedded in an extensiveu computational approach for the retrieval of the perfusion coefficient. Boundary integral methods, for the constant and the time-dependent cases, or Crank-Nicolson-type global schemes or local methods based on solutions of the first-kind integral equations, in the space, temperature, or space and time cases, are used in conjunction either with Gaussian mollification or with Tikhonov regularization methods, which arc coupled with optimization techniques. Analytically, a number of uniqueness and existence criteria and structural results are formulated and proved." @default.
- W2899604812 created "2018-11-16" @default.
- W2899604812 creator A5061227044 @default.
- W2899604812 date "2009-06-01" @default.
- W2899604812 modified "2023-09-26" @default.
- W2899604812 title "Inverse problems for blood perfusion identification" @default.
- W2899604812 hasPublicationYear "2009" @default.
- W2899604812 type Work @default.
- W2899604812 sameAs 2899604812 @default.
- W2899604812 citedByCount "0" @default.
- W2899604812 crossrefType "dissertation" @default.
- W2899604812 hasAuthorship W2899604812A5061227044 @default.
- W2899604812 hasConcept C110342517 @default.
- W2899604812 hasConcept C121332964 @default.
- W2899604812 hasConcept C134306372 @default.
- W2899604812 hasConcept C135252773 @default.
- W2899604812 hasConcept C152442038 @default.
- W2899604812 hasConcept C154945302 @default.
- W2899604812 hasConcept C159188206 @default.
- W2899604812 hasConcept C182310444 @default.
- W2899604812 hasConcept C2776135515 @default.
- W2899604812 hasConcept C2777021972 @default.
- W2899604812 hasConcept C28826006 @default.
- W2899604812 hasConcept C33923547 @default.
- W2899604812 hasConcept C41008148 @default.
- W2899604812 hasConcept C50517652 @default.
- W2899604812 hasConcept C57879066 @default.
- W2899604812 hasConceptScore W2899604812C110342517 @default.
- W2899604812 hasConceptScore W2899604812C121332964 @default.
- W2899604812 hasConceptScore W2899604812C134306372 @default.
- W2899604812 hasConceptScore W2899604812C135252773 @default.
- W2899604812 hasConceptScore W2899604812C152442038 @default.
- W2899604812 hasConceptScore W2899604812C154945302 @default.
- W2899604812 hasConceptScore W2899604812C159188206 @default.
- W2899604812 hasConceptScore W2899604812C182310444 @default.
- W2899604812 hasConceptScore W2899604812C2776135515 @default.
- W2899604812 hasConceptScore W2899604812C2777021972 @default.
- W2899604812 hasConceptScore W2899604812C28826006 @default.
- W2899604812 hasConceptScore W2899604812C33923547 @default.
- W2899604812 hasConceptScore W2899604812C41008148 @default.
- W2899604812 hasConceptScore W2899604812C50517652 @default.
- W2899604812 hasConceptScore W2899604812C57879066 @default.
- W2899604812 hasLocation W28996048121 @default.
- W2899604812 hasOpenAccess W2899604812 @default.
- W2899604812 hasPrimaryLocation W28996048121 @default.
- W2899604812 hasRelatedWork W1968027003 @default.
- W2899604812 hasRelatedWork W1985801356 @default.
- W2899604812 hasRelatedWork W2031970307 @default.
- W2899604812 hasRelatedWork W2054957389 @default.
- W2899604812 hasRelatedWork W2063698021 @default.
- W2899604812 hasRelatedWork W2105979940 @default.
- W2899604812 hasRelatedWork W2140665767 @default.
- W2899604812 hasRelatedWork W2149349551 @default.
- W2899604812 hasRelatedWork W2170966503 @default.
- W2899604812 hasRelatedWork W2290912966 @default.
- W2899604812 hasRelatedWork W2379248519 @default.
- W2899604812 hasRelatedWork W2518445013 @default.
- W2899604812 hasRelatedWork W2570635307 @default.
- W2899604812 hasRelatedWork W2588803570 @default.
- W2899604812 hasRelatedWork W2613147528 @default.
- W2899604812 hasRelatedWork W2740855040 @default.
- W2899604812 hasRelatedWork W2795084757 @default.
- W2899604812 hasRelatedWork W2896707173 @default.
- W2899604812 hasRelatedWork W3186037764 @default.
- W2899604812 hasRelatedWork W1606735938 @default.
- W2899604812 isParatext "false" @default.
- W2899604812 isRetracted "false" @default.
- W2899604812 magId "2899604812" @default.
- W2899604812 workType "dissertation" @default.