Fractals in pathology

SS Cross - The Journal of Pathology: A Journal of the …, 1997 - Wiley Online Library
Many natural objects, including most objects studied in pathology, have complex structural
characteristics and the complexity of their structures, for example the degree of branching of …

[HTML][HTML] Fractal nature of human gastrointestinal system: Exploring a new era

F Grizzi, M Spadaccini, M Chiriva-Internati… - World journal of …, 2023 - ncbi.nlm.nih.gov
The morphological complexity of cells and tissues, whether normal or pathological, is
characterized by two primary attributes: Irregularity and self-similarity across different scales …

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 …

The modified box-counting method: analysis of some characteristic parameters

S Buczkowski, S Kyriacos, F Nekka, L Cartilier - Pattern Recognition, 1998 - Elsevier
One of the most popular ways of estimating fractal dimension (Df) is the box-counting
method (BCM). The major problem with this method is that it leads to results with a very high …

[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 …

Fractals in dentistry

I Sánchez, G Uzcátegui - Journal of dentistry, 2011 - Elsevier
OBJECTIVES: To systematically review applications of fractal geometry in different aspects
of dental practice. In this first part of the review, we present a short introduction to fractals …

[PDF][PDF] Mathematical law of chaotic cardiac dynamics: Predictions for clinical application

J Rodríguez - J Med Med Sci, 2011 - researchgate.net
The purpose of this study was to develop a new diagnostic methodology for cardiac
dynamics. A mathematical deduction of Box-Counting equation was made, to determine the …

[PDF][PDF] Geometric diagnosis of erythrocyte morphophysiology

C Correa, J Rodríguez, S Prieto, L Álvarez… - J Med Med …, 2012 - researchgate.net
Fractal geometry allows the unbiased characterization of objects irregularity. Fractal
dimension has been applied to different diagnostic images in order to differentiate normality …

How important is tumour shape? Quantification of the epithelial–connective tissue interface in oral lesions using local connected fractal dimension analysis

G Landini, JW Rippin - The Journal of pathology, 1996 - Wiley Online Library
Quantification of the local complexity of the epithelial–connective tissue interface (ECTI) in
normal mucosa, epithelial dysplasia, and squamous cell carcinoma of the floor of the mouth …

Nuclear patterns of human breast cancer cells during apoptosis: characterisation by fractal dimension and co-occurrence matrix statistics

GA Losa, C Castelli - Cell and tissue research, 2005 - Springer
An analytical strategy combining fractal geometry and grey-level co-occurrence matrix
(GLCM) statistics was devised to investigate ultrastructural changes in oestrogen-insensitive …