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The biology and mathematical modelling of glioma invasion: a review
Adult gliomas are aggressive brain tumours associated with low patient survival rates and
limited life expectancy. The most important hallmark of this type of tumour is its invasive …
limited life expectancy. The most important hallmark of this type of tumour is its invasive …
Cellular potts modeling of tumor growth, tumor invasion, and tumor evolution
Despite a growing wealth of available molecular data, the growth of tumors, invasion of
tumors into healthy tissue, and response of tumors to therapies are still poorly understood …
tumors into healthy tissue, and response of tumors to therapies are still poorly understood …
Nonlinear modelling of cancer: bridging the gap between cells and tumours
Despite major scientific, medical and technological advances over the last few decades, a
cure for cancer remains elusive. The disease initiation is complex, and including initiation …
cure for cancer remains elusive. The disease initiation is complex, and including initiation …
'Go or grow': the key to the emergence of invasion in tumour progression?
Uncontrolled proliferation and abnormal cell migration are two of the main characteristics of
tumour growth. Of ultimate importance is the question what are the mechanisms that trigger …
tumour growth. Of ultimate importance is the question what are the mechanisms that trigger …
Three-dimensional multispecies nonlinear tumor growth—I: model and numerical method
This is the first paper in a two-part series in which we develop, analyze, and simulate a
diffuse interface continuum model of multispecies tumor growth and tumor-induced …
diffuse interface continuum model of multispecies tumor growth and tumor-induced …
Radiomic MRI signature reveals three distinct subtypes of glioblastoma with different clinical and molecular characteristics, offering prognostic value beyond IDH1
The remarkable heterogeneity of glioblastoma, across patients and over time, is one of the
main challenges in precision diagnostics and treatment planning. Non-invasive in vivo …
main challenges in precision diagnostics and treatment planning. Non-invasive in vivo …
[کتاب][B] Mathematical modeling of biological pattern formation
A Deutsch, S Dormann, A Deutsch, S Dormann - 2017 - Springer
The application of mathematical models to explain the dynamics of biological pattern
formation started with the work of D'Arcy Thompson who showed that mathematics cannot …
formation started with the work of D'Arcy Thompson who showed that mathematics cannot …
[کتاب][B] Multiscale modeling of cancer: an integrated experimental and mathematical modeling approach
V Cristini, J Lowengrub - 2010 - books.google.com
Mathematical modeling, analysis and simulation are set to play crucial roles in explaining
tumor behavior, and the uncontrolled growth of cancer cells over multiple time and spatial …
tumor behavior, and the uncontrolled growth of cancer cells over multiple time and spatial …
[کتاب][B] Reaction-transport systems: mesoscopic foundations, fronts, and spatial instabilities
V Mendez, S Fedotov, W Horsthemke - 2010 - books.google.com
This book is an introduction to the dynamics of reaction-diffusion systems, with a focus on
fronts and stationary spatial patterns. Emphasis is on systems that are non-standard in the …
fronts and stationary spatial patterns. Emphasis is on systems that are non-standard in the …
Three-dimensional multispecies nonlinear tumor growth—II: tumor invasion and angiogenesis
We extend the diffuse interface model developed in Wise et al.(2008) to study nonlinear
tumor growth in 3-D. Extensions include the tracking of multiple viable cell species …
tumor growth in 3-D. Extensions include the tracking of multiple viable cell species …