Title Information
Title
Determining Tumor Blood Flow Parameters Using Dynamic Imaging Data
Name: Personal
Name Part
Libertini, Jessica Meade
Role
Role Term: Text
creator
Origin Information
Copyright Date (keyDate="yes", encoding="w3cdtf")
2008
Physical Description
Extent
xiii, 57 p.
digitalOrigin
born digital
Note
Thesis (Ph.D.) -- Brown University (2008)
Name: Personal
Name Part
Gottlieb, David
Role
Role Term: Text
director
Name: Personal
Name Part
Don, Wai-Sun
Role
Role Term: Text
reader
Name: Personal
Name Part
Shu, Chi-Wang
Role
Role Term: Text
reader
Name: Corporate
Name Part
Brown University. Applied Mathematics
Role
Role Term: Text
sponsor
Genre (aat)
theses
Abstract
This thesis discusses two topics, both related to the goal of determining tumor blood flow parameters from time-sequenced contrast-enhanced medical imaging data in an effort to quickly measure the efficacy of cancer treatments. This work builds upon existing work in the radiology field by using a commonly accepted two-compartment model. In this model, the blood flow parameters are represented as four constant coefficients: perfusion, permeability surface area product, and relative volumes of the two compartments. For the purposes of the testing the ideas presented in this thesis, computational baseline data is used; although not actual patient data, this baseline was developed to emulate real patient data. The first major topic is a parametric study. Since the application of this work is in the form of an inverse problem, i.e., the coefficients are unknown, it is important to understand the effects of each of the four coefficients on the overall signal intensity of the medical images. Therefore, a set of numerical experiments was designed to explore these effects. The results of these experiments are presented along with a discussion of how the numerical results relate to the physiological system being modeled. The second major topic has two parts. In the first part, questions are raised and explored involving the validity of a model simplification in the existing literature. The second part proposes new methods for computing two of the coefficients; these alternative methods do not require the use of the simplification in question. This simplification arises from a difficulty in measuring the time-dependent outflow of contrast agent. The assumption leading to this simplification is explored, and the existence of the error is verified through calculations. The beginning stages of alternative methods that do not require the use of the erroneous simplification are also presented. Two of the four coefficients are recovered with high accuracy through numerical experiments. A method for determining the missing boundary condition is also presented. To demonstrate the robustness of these methods in the presence of low image frequency, only subsets of baseline analytical data are passed as input to the computations.
Subject (Local)
Topic
dynamic imaging
Subject (Local)
Topic
angiogensis
Subject (Local)
Topic
blood flow parameters
Subject (Local)
Topic
tumor growth
Subject (FAST) (authorityURI="http://id.worldcat.org/fast", valueURI="http://id.worldcat.org/fast/1158769")
Topic
Tumors--Growth
Record Information
Record Content Source (marcorg)
RPB
Record Creation Date (encoding="iso8601")
20091218
Language
Language Term: Code (ISO639-2B)
eng
Language Term: Text
English
Identifier: DOI
10.7301/Z02R3PZ7
Access Condition: rights statement (href="http://rightsstatements.org/vocab/InC/1.0/")
In Copyright
Access Condition: restriction on access
Collection is open for research.
Type of Resource (primo)
dissertations