http://biomathematics.shis.uth.tmc.edu Most recent publications for Paul Macklin's cancer research Science/cancer/computational oncology/predictive oncology/Paul Macklin http://biomathematics.shis.uth.tmc.edu/images/PaulsNewBannerResized.png http://biomathematics.shis.uth.tmc.edu 1440 en-us Copyright 2007 Paul Macklin pmacklin@math.uci.edu (Paul Macklin) pmacklin@math.uci.edu (Paul Macklin) Fri, 23 Mar 2007 08:00:00 GMT http://biomathematics.shis.uth.tmc.edu/Publications.php#FrieboesEtAl:NeuroImage_Glioblastoma_Simulations_2007 DOI: 10.1016/j.neuroimage.2007.03.008

Abstract: Despite major advances in the study of glioma, the quantitative links between intratumor molecular/cellular properties, clinically observable properties such as morphology, and critical tumor behaviors such as growth and invasiveness remain unclear, hampering more effective coupling of tumor physical characteristics with implications for prognosis and therapy. Although molecular biology, histopathology, and radiological imaging are employed in this endeavor, studies are severely challenged by the multitude of different physical scales involved in tumor growth, i.e., from molecular nanoscale to cell microscale and finally to tissue centimeter scale. [...]]]> http://biomathematics.shis.uth.tmc.edu/Publications.php#FrieboesEtAl:NeuroImage_Glioblastoma_Simulations_2007 Fri, 01 Jun 2007 07:00:00 GMT http://biomathematics.shis.uth.tmc.edu/Publications.php#Macklin:PhD_Dissertation_2007
Abstract: In this dissertation, we present three increasingly sophisticated mathematical models of solid tumor growth and new numerical techniques for accurately and efficiently solving these models. In the first model, we simulate necrotic tumor growth into perfectly-vascularized, homogeneous tissue. [...]]]> http://biomathematics.shis.uth.tmc.edu/Publications.php#Macklin:PhD_Dissertation_2007 Sat, 21 Apr 2007 08:00:00 GMT http://biomathematics.shis.uth.tmc.edu/Publications.php#MacklinLowengrub:JTB_Microenvironment_2007 DOI: 10.1016/j.jtbi.2006.12.004

Abstract: In this paper, we present and investigate a model for solid tumor growth that incorporates features of the tumor microenvironment. Using analysis and nonlinear numerical simulations, we explore the effects of the interaction between the genetic characteristics of the tumor and the tumor microenvironment on the resulting tumor progression and morphology. [...]]]> http://biomathematics.shis.uth.tmc.edu/Publications.php#MacklinLowengrub:JTB_Microenvironment_2007 Sat, 1 Jul 2006 07:00:00 GMT http://biomathematics.shis.uth.tmc.edu/Publications.php#MacklinLowengrub:JCP_Curvature_Letter_2006 DOI: 10.1016/j.jcp.2005.11.016

Abstract: An advantage of using level set methods for moving boundary problems is that geometric quantities such as curvature can be readily calculated from the level set function. However, in topologically challenging cases (e.g., when two interfaces are in close contact), level set functions develop singularities that yield inaccurate curvatures when using traditional discretizations. [...]]]> http://biomathematics.shis.uth.tmc.edu/Publications.php#MacklinLowengrub:JCP_Curvature_Letter_2006