Fractal analysis in a systems biology approach to cancer

M Bizzarri, A Giuliani, A Cucina, F D'Anselmi… - Seminars in cancer …, 2011 - Elsevier
Cancer is a highly complex disease due to the disruption of tissue architecture. Thus,
tissues, and not individual cells, are the proper level of observation for the study of …

A systems biology approach to cancer: fractals, attractors, and nonlinear dynamics

S Dinicola, F D'Anselmi, A Pasqualato… - Omics: a journal of …, 2011 - liebertpub.com
Cancer begins to be recognized as a highly complex disease, and advanced knowledge of
the carcinogenic process claims to be acquired by means of supragenomic strategies …

Fractals and cancer

JW Baish, RK Jain - Cancer research, 2000 - AACR
Recent studies have shown that fractal geometry, a vocabulary of irregular shapes, can be
useful for describing the pathological architecture of tumors and, perhaps more surprisingly …

Fractals in pathology: are they really useful?

GA Losa - Pathologica, 1995 - europepmc.org
Through several examples selected from functional and pathological cells and tissues,
including surface, cytoplasmic and nuclear membranes one will focus on the application of …

[PDF][PDF] Fractal analysis in human pathology

P Luzi, G Bianciardi, C Miracco… - Annals of the New …, 1999 - academia.edu
Living structures may be described as being in a self-organizing, fluctuating steady-state far
from equilibrium. 1 Self-organization and a state far from equilibrium are characteristics of …

[图书][B] Fractals in Biology and Medicine: III

GA Losa, TF Nonnenmacher, ER Weibel - 1994 - books.google.com
This volume highlights the growing power and efficacy of the fractal geometry in
understanding how to analyze living phenomena and complex shapes. In March 2000 …

Self-similarity and fractal irregularity in pathologic tissues.

GA Losa, TF Nonnenmacher - … pathology: an official journal of the …, 1996 - europepmc.org
The irregularity and self-similarity under scale changes are the main attributes of the
morphologic complexity of cells and tissues, either normal or pathologic. In other words, the …

[PDF][PDF] The fractal geometry of life.

GA Losa - Biology Forum/Rivista di Biologia, 2009 - researchgate.net
The extension of the concepts of Fractal Geometry (Mandelbrot [1983]) toward the life
sciences has led to significant progress in understanding complex functional properties and …

Cancer systems biology: a network modeling perspective

PK Kreeger, DA Lauffenburger - Carcinogenesis, 2010 - academic.oup.com
Cancer is now appreciated as not only a highly heterogenous pathology with respect to cell
type and tissue origin but also as a disease involving dysregulation of multiple pathways …

On the modification of fractal self-space during cell differentiation or tumor progression

P Waliszewski, J Konarski, M Molski - Fractals, 2000 - World Scientific
A novel parameter called expansion coefficient has been defined to measure both
connectivity and collectivity in a population of cells conquering the available space and self …