Fractals and cancer.
نویسندگان
چکیده
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, for yielding insights into the mechanisms of tumor growth and angiogenesis that complement those obtained by modern molecular methods. This article outlines the basic methods of fractal geometry and discusses the value and limitations of applying this new tool to cancer research.
منابع مشابه
Self-similar fractals and arithmetic dynamics
The concept of self-similarity on subsets of algebraic varieties is defined by considering algebraic endomorphisms of the variety as `similarity' maps. Self-similar fractals are subsets of algebraic varieties which can be written as a finite and disjoint union of `similar' copies. Fractals provide a framework in which, one can unite some results and conjectures in Diophantine g...
متن کاملAn Analysis of Fractal Properties in the Iranian Exchange Rate Behavior
The behavior of exchange rate in various exchange markets is not seemingly predictable, while there are different forecasting methods to do so. One of these methods is to use fractals to identify exchange rate behavior. This paper has made attempts to explore the properties of fractals in Iranâs exchange market in order to it can predict and analyze the trend of exchange rate. Accordingly, th...
متن کاملAntenna Miniaturization Using Fractals (RESEARCH NOTE)
Antenna Miniaturization Using Fractals Richa Garg, AP ECE Deptt., [email protected], J.C.D.C.O.E., Sirsa ABSTRACTThe use of fractal geometry in designing antenna has been a resent topic of interest. Fractal shape has their own unique characteristics that the improved antenna performance can be achieved without degrading the antenna properties. Modern telecommunication system requires antenn...
متن کاملFrom Newton Fractals to Zhang Fractals Yielded via Solving nonlinear equations in Complex Domain
A novel type of fractals (i.e., Zhang fractals) is yielded via solving time-varying or static nonlinear equations in complex domain by discrete-time complex-valued Zhang dynamics (DTCVZD). The DTCVZD model that uses different types of activation functions can generate various Zhang fractals. These fractals are different from the conventional Newton fractals discovered 30 years ago (since 1983) ...
متن کاملPreferences, Descriptions, and Response Latency to Fractal Images Among Individuals With and Without Schizophrenia
Background: Early simple, low-cost diagnosis of schizophrenia may accelerate the beginning of the treatment process. Here, utilizing the projective tools, including fractal images, are some of the diagnostic aids. Objectives: This study aimed to compare the preferences, descriptions, and response latency to fractal images between schizophrenic and healthy individuals. Materials & Methods: In ...
متن کاملA Formal Treatment of Deterministic Fractals
We explore in depth the theory behind deterministic fractals by investigat ing transformations on metric spaces and the contraction mapping theorem. In doing so we introduce the notion of the Hausdorff distance metric and its connection to the space of fractals. In order to understand how deterministic fractals are generated, we develop the concept of an iterated function system (IFS) and what...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Cancer research
دوره 60 14 شماره
صفحات -
تاریخ انتشار 2000