Research Topics
| S E EikenberrySummaryAffiliation: Arizona State University Country: USA Publications
| Collaborators |
Detail Information
Publications
The dynamics of a delay model of hepatitis B virus infection with logistic hepatocyte growthSteffen Eikenberry
Department of Mathematics and Statistics, Arizona State University, Tempe, AZ 85287, United States
Math Biosci Eng 6:283-99. 2009..Therefore, the often sudden onset of liver failure in chronic HBV patients can be explained as a switch in stability caused by the gradual evolution of parameters representing the disease state...
Tumor-immune interaction, surgical treatment, and cancer recurrence in a mathematical model of melanomaSteffen Eikenberry
Department of Mathematics and Statistics, Arizona State University, Tempe, Arizona, USA
PLoS Comput Biol 5:e1000362. 2009..These results are in line with clinical case studies involving resection of a primary melanoma followed by recurrence in local metastases...
The evolutionary impact of androgen levels on prostate cancer in a multi-scale mathematical modelSteffen E Eikenberry
Department of Mathematics and Statistics, Arizona State University, Tempe, AZ 85287, USA
Biol Direct 5:24. 2010..We formulate a mathematical model of androgen regulated prostate growth to study the effects of abnormal androgen levels on selection for pre-malignant phenotypes in early prostate cancer development...
Virtual glioblastoma: growth, migration and treatment in a three-dimensional mathematical modelS E Eikenberry
Department of Mathematics and Statistics, Arizona State University, Tempe, AZ 85287, USA
Cell Prolif 42:511-28. 2009..Clinically, we predict patterns of tumour recurrence following various modes of therapeutic intervention...
A tumor cord model for doxorubicin delivery and dose optimization in solid tumorsSteffen Eikenberry
Department of Mathematics and Statistics, Arizona State University, Tempe, AZ 85287, USA
Theor Biol Med Model 6:16. 2009..I model the delivery of a soluble drug from the vasculature to a solid tumor using a tumor cord model and examine the penetration of doxorubicin under different dosage regimes and tumor microenvironments...
Rich dynamics of a hepatitis B viral infection model with logistic hepatocyte growthSarah Hews
Department of Mathematics and Statistics, Arizona State University, Tempe, AZ, 85287, USA
J Math Biol 60:573-90. 2010..We characterize parameter regions for all three situations, identify a Hopf and a homoclinic bifurcation point, and show how they depend on the basic reproduction number and the intrinsic growth rate of hepatocytes...
