Fractal and stochastic geometry inference for breast cancer: a case study with random fractal models and Quermass-interaction process

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F15%3A00233762" target="_blank" >RIV/68407700:21230/15:00233762 - isvavai.cz</a>

Alternative codes found

RIV/60076658:12510/15:43888568

Result on the web

<a href="http://dx.doi.org/10.1002/sim.6497" target="_blank" >http://dx.doi.org/10.1002/sim.6497</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/sim.6497" target="_blank" >10.1002/sim.6497</a>

Result language

angličtina

Original language name

Fractal and stochastic geometry inference for breast cancer: a case study with random fractal models and Quermass-interaction process

Original language description

Fractals are models of natural processes with many applications in medicine. The recent studies in medicine show that fractals can be applied for cancer detection and the description of pathological architecture of tumors. This fact is not surprising, asdue to the irregular structure, cancerous cells can be interpreted as fractals. Inspired by Sierpinski carpet, we introduce a flexible parametric model of random carpets. Randomization is introduced by usage of binomial random variables. We provide an algorithm for estimation of parameters of the model and illustrate theoretical and practical issues in generation of Sierpinski gaskets and Hausdorff measure calculations. Stochastic geometry models can also serve as models for binary cancer images. Recently, a Boolean model was applied on the 200 images of mammary cancer tissue and 200 images of mastopathic tissue. Here, we describe the Quermass-interaction process, which can handle much more variations in the cancer data, and we apply i

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GAP201%2F10%2F0472" target="_blank" >GAP201/10/0472: Stochastic geometry - inhomogeneity, marking, dynamics and stereology</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2015

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Statistics in Medicine

ISSN

0277-6715

e-ISSN

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Volume of the periodical

34

Issue of the periodical within the volume

18

Country of publishing house

US - UNITED STATES

Number of pages

26

Pages from-to

2636-2661

UT code for WoS article

000357428500004

EID of the result in the Scopus database

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