TY - JOUR
T1 - Modeling the growth and invasion of gliomas, from simple to complex
T2 - The goldie locks paradigm
AU - Rockne, Russell
AU - Alvord, Ellsworth C.
AU - Reed, P. J.
AU - Swanson, Kristin R.
PY - 2008/4/1
Y1 - 2008/4/1
N2 - As with all mathematical modeling, the scope of the question to be explored determines the scope of the most appropriate model. The case is no different for the modeling of primary brain tumors (gliomas), ranging from too simple, not accounting for the major feature of gliomas (extensive invasion), to too complicated, with too many variables and no easy way to translate from culture media in vitro to brain tissue in vivo. We settle on a "just right" approach which utilizes currently available magnetic resonance imaging (MRI) to estimate two defining characteristics, net rates of proliferation (ρ) and diffusion (D). Most importantly, these parameters are predictive of clinical behavior, and can be tailored to individual patients in vivo and in real time. These two rates combine to generate a linear radial growth pattern of the MRI visible portion of each glioma. Further, we introduce a novel method for the calculation of glioma invasion through grey and white matter.
AB - As with all mathematical modeling, the scope of the question to be explored determines the scope of the most appropriate model. The case is no different for the modeling of primary brain tumors (gliomas), ranging from too simple, not accounting for the major feature of gliomas (extensive invasion), to too complicated, with too many variables and no easy way to translate from culture media in vitro to brain tissue in vivo. We settle on a "just right" approach which utilizes currently available magnetic resonance imaging (MRI) to estimate two defining characteristics, net rates of proliferation (ρ) and diffusion (D). Most importantly, these parameters are predictive of clinical behavior, and can be tailored to individual patients in vivo and in real time. These two rates combine to generate a linear radial growth pattern of the MRI visible portion of each glioma. Further, we introduce a novel method for the calculation of glioma invasion through grey and white matter.
KW - Gliomas
KW - Gompertzian growth models
KW - Tissue environment
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U2 - 10.1142/s1793048008000642
DO - 10.1142/s1793048008000642
M3 - Article
AN - SCOPUS:51449104738
SN - 1793-0480
VL - 3
SP - 111
EP - 123
JO - Biophysical Reviews and Letters
JF - Biophysical Reviews and Letters
IS - 1-2
ER -