S E Eikenberry

Summary

Affiliation: Arizona State University
Country: USA

Publications

  1. ncbi request reprint The dynamics of a delay model of hepatitis B virus infection with logistic hepatocyte growth
    Steffen Eikenberry
    Department of Mathematics and Statistics, Arizona State University, Tempe, AZ 85287, United States
    Math Biosci Eng 6:283-99. 2009
  2. pmc Tumor-immune interaction, surgical treatment, and cancer recurrence in a mathematical model of melanoma
    Steffen Eikenberry
    Department of Mathematics and Statistics, Arizona State University, Tempe, Arizona, USA
    PLoS Comput Biol 5:e1000362. 2009
  3. pmc The evolutionary impact of androgen levels on prostate cancer in a multi-scale mathematical model
    Steffen E Eikenberry
    Department of Mathematics and Statistics, Arizona State University, Tempe, AZ 85287, USA
    Biol Direct 5:24. 2010
  4. doi request reprint Virtual glioblastoma: growth, migration and treatment in a three-dimensional mathematical model
    S E Eikenberry
    Department of Mathematics and Statistics, Arizona State University, Tempe, AZ 85287, USA
    Cell Prolif 42:511-28. 2009
  5. pmc A tumor cord model for doxorubicin delivery and dose optimization in solid tumors
    Steffen Eikenberry
    Department of Mathematics and Statistics, Arizona State University, Tempe, AZ 85287, USA
    Theor Biol Med Model 6:16. 2009
  6. doi request reprint Rich dynamics of a hepatitis B viral infection model with logistic hepatocyte growth
    Sarah Hews
    Department of Mathematics and Statistics, Arizona State University, Tempe, AZ, 85287, USA
    J Math Biol 60:573-90. 2010

Collaborators

Detail Information

Publications6

  1. ncbi request reprint The dynamics of a delay model of hepatitis B virus infection with logistic hepatocyte growth
    Steffen 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...
  2. pmc Tumor-immune interaction, surgical treatment, and cancer recurrence in a mathematical model of melanoma
    Steffen 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...
  3. pmc The evolutionary impact of androgen levels on prostate cancer in a multi-scale mathematical model
    Steffen 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...
  4. doi request reprint Virtual glioblastoma: growth, migration and treatment in a three-dimensional mathematical model
    S 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...
  5. pmc A tumor cord model for doxorubicin delivery and dose optimization in solid tumors
    Steffen 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...
  6. doi request reprint Rich dynamics of a hepatitis B viral infection model with logistic hepatocyte growth
    Sarah 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...