scholarly journals Nonlinear Modeling and Simulation of Tumor Growth

2008 ◽  
pp. 1-69 ◽  
Author(s):  
Vittorio Cristini ◽  
Hermann B. Frieboes ◽  
Xiaongrong Li ◽  
John S. Lowengrub ◽  
Paul Macklin ◽  
...  
Keyword(s):  
Tumor Growth ◽  
Modeling And Simulation ◽  
Nonlinear Modeling

scholarly journals Tissue-scale, personalized modeling and simulation of prostate cancer growth

2016 ◽  
Vol 113 (48) ◽  
pp. E7663-E7671 ◽  
Author(s):  
Guillermo Lorenzo ◽  
Michael A. Scott ◽  
Kevin Tew ◽  
Thomas J. R. Hughes ◽  
Yongjie Jessica Zhang ◽  
...  
Keyword(s):  
Prostate Cancer ◽  
Tumor Growth ◽  
Modeling And Simulation ◽  
Specific Antigen ◽  
Growth Patterns ◽  
Diffusion Reaction ◽  
Patient Specific ◽  
Cancer Growth ◽  
Major Health Problem ◽  
Computed Tomography Images

Recently, mathematical modeling and simulation of diseases and their treatments have enabled the prediction of clinical outcomes and the design of optimal therapies on a personalized (i.e., patient-specific) basis. This new trend in medical research has been termed “predictive medicine.” Prostate cancer (PCa) is a major health problem and an ideal candidate to explore tissue-scale, personalized modeling of cancer growth for two main reasons: First, it is a small organ, and, second, tumor growth can be estimated by measuring serum prostate-specific antigen (PSA, a PCa biomarker in blood), which may enable in vivo validation. In this paper, we present a simple continuous model that reproduces the growth patterns of PCa. We use the phase-field method to account for the transformation of healthy cells to cancer cells and use diffusion−reaction equations to compute nutrient consumption and PSA production. To accurately and efficiently compute tumor growth, our simulations leverage isogeometric analysis (IGA). Our model is shown to reproduce a known shape instability from a spheroidal pattern to fingered growth. Results of our computations indicate that such shift is a tumor response to escape starvation, hypoxia, and, eventually, necrosis. Thus, branching enables the tumor to minimize the distance from inner cells to external nutrients, contributing to cancer survival and further development. We have also used our model to perform tissue-scale, personalized simulation of a PCa patient, based on prostatic anatomy extracted from computed tomography images. This simulation shows tumor progression similar to that seen in clinical practice.

THE ROAST: NONLINEAR MODELING and SIMULATION

1989 ◽  
Vol 11 (1) ◽  
pp. 17-42 ◽  
Author(s):  
M.A. TOWNSEND ◽  
S. GUPTA ◽  
W.H. PITTS
Keyword(s):  
Modeling And Simulation ◽  
Nonlinear Modeling

Nonlinear modeling and simulation of spur gear with defected bearings

2012 ◽  
Vol 8 (2) ◽  
pp. 197-212 ◽  
Author(s):  
Mohamed Taoufik Khabou ◽  
Taissir Hentati ◽  
Mohamed Slim Abbes ◽  
Fakher Chaari ◽  
Mohamed Haddar
Keyword(s):  
Modeling And Simulation ◽  
Nonlinear Modeling ◽  
Spur Gear
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