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Discrete and Continuous Dynamical Systems - Series B (DCDS-B)
 

Volume 4,Number 1,     February 2004

Mathematical Models in Cancer

A special issue based on the Cancer Workshop at Vanderbilt University 2002
Guest Editors: Mary Ann Horn and Glenn Webb

This special issue is featured in Economist, one of the most influential publications

1

Inside mathematical modeling: building models in the context of wound healing in bone   Pages : 1 - 24

John A. Adam

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2

Growth kinetics of cancer cells prior to detection and treatment: An alternative view   Pages : 25 - 28

Evans K. Afenya and Calixto P. Calderón

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3

Hopf point analysis for angiogenesis models   Pages : 29 - 38

Zvia Agur,  L. Arakelyan,  P. Daugulis and Y. Ginosar

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4

A mathematical model of tumor-immune evasion and siRNA treatment   Pages : 39 - 58

J.C. Arciero,  T.L. Jackson and D.E. Kirschner

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5

From a class of kinetic models to the macroscopic equations for multicellular systems in biology   Pages : 59 - 80

N. Bellomo and A. Bellouquid

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6

Macrophage-tumour interactions: In vivo dynamics   Pages : 81 - 98

H.M. Byrne,  S.M. Cox and C.E. Kelly

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7

A mathematical model of BCR-ABL autophosphorylation, signaling through the CRKL pathway, and Gleevec dynamics in chronic myeloid leukemia   Pages : 99 - 114

Pep Charusanti,  Xiao Hu,  Luonan Chen,  Daniel Neuhauser and Joseph J. DiStefano III

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8

The steady state of a maturity structured tumor cord cell population   Pages : 115 - 134

Janet Dyson,  Rosanna Villella-Bressan and G.F. Webb

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9

Optimal control applied to immunotherapy   Pages : 135 - 146

Thalya Burden,  Jon Ernstberger and K. Renee Fister

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10

A hierarchy of cancer models and their mathematical challenges   Pages : 147 - 159

Avner Friedman

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11

Modelling cell populations with spatial structure: Steady state and treatment-induced evolution   Pages : 161 - 186

Alessandro Bertuzzi,  Alberto d'Onofrio,  Antonio Fasano and Alberto Gandolfi

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12

A mathematical model of prostate tumor growth and androgen-independent relapse   Pages : 187 - 201

T.L. Jackson

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13

On the stability of homogeneous solutions to some aggregation models   Pages : 203 - 220

R. Kowalczyk,  A. Gamba and L. Preziosi

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14

Biological stoichiometry of tumor dynamics: Mathematical models and analysis   Pages : 221 - 240

Yang Kuang,  John D. Nagy and James J. Elser

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15

A model of tumor and lymphocyte interactions   Pages : 241 - 266

Amy H. Lin

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16

Modeling the role of angiogenesis in epidermal wound healing   Pages : 267 - 273

Sophia A. Maggelakis

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17

Evaluation of a discrete dynamic systems approach for modeling the hierarchical relationship between genes, biochemistry, and disease susceptibility   Pages : 275 - 287

Jason H. Moore and Lance W. Hahn

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18

Dynamics of a model for brain tumors reveals a small window for therapeutic intervention   Pages : 289 - 295

Kristin R. Swanson,  Ellsworth C. Alvord, Jr and J. D. Murray

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19

Stochastic modeling of carcinogenesis: State space models and estimation of parameters   Pages : 297 - 322

W. Y. Tan,  L.-J. Zhang and C.W. Chen

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20

Unraveling the complexity of cell cycle effects of anticancer drugs in cell populations   Pages : 323 - 335

Paolo Ubezio

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21

A free boundary problem model of ductal carcinoma in situ   Pages : 337 - 348

Yongzhi Xu

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