The inverse geometric approach to the modeling of the growth of circular objects revealing required features, such as the velocity of the growth and fractal behavior of their contours, is presented. It enables to reproduce some of the recent findings in morphometry of tumors with the possible implications for cancer research. The technique is based on cellular automata paradigm with the transition rules selected by optimization procedure performed by the genetic algorithms
The recent discovery of cancer stem cells (CSCs), or tumor initiating cells (TICs), in a variety of ...
Cancer cells display characteristic traits acquired in a step-wise manner during carcinogenesis. Som...
summary:We study a class of parabolic-ODE systems modeling tumor growth, its mathematical modeling a...
The subject of this work is the development and implementation of algorithms which accelerate the si...
In the lecture we describe some elements of mathematical modeling of tumor growth. We present determ...
AbstractThe desire to understand tumor complexity has given rise to mathematical models to describe ...
Tumor growth is a complex process that requires mathematical modeling approaches for studying real-l...
The design of accurate in silico cancer models capable of quantitatively predicting tumor growth is ...
MAJC and CKM gratefully acknowledge support of EPSRC grant no. EP/N014642/1 (EPSRC Centre for Multis...
International audienceIn this paper, we present a mathematical model for avascular tumor growth and ...
In this paper, we present two mathematical models related to different aspects and scales of cancer ...
Multiscale phenomena play an important role in our current society. In biological contexts, we can m...
We present a hybrid cellular automata–partial differential equation model of moderate complexity to ...
AbstractBased on the literature data from HT-29 cell monolayers, we develop a model for its growth, ...
In this paper, two types of cellular automata are studied in order to describe the 2-dimensional fre...
The recent discovery of cancer stem cells (CSCs), or tumor initiating cells (TICs), in a variety of ...
Cancer cells display characteristic traits acquired in a step-wise manner during carcinogenesis. Som...
summary:We study a class of parabolic-ODE systems modeling tumor growth, its mathematical modeling a...
The subject of this work is the development and implementation of algorithms which accelerate the si...
In the lecture we describe some elements of mathematical modeling of tumor growth. We present determ...
AbstractThe desire to understand tumor complexity has given rise to mathematical models to describe ...
Tumor growth is a complex process that requires mathematical modeling approaches for studying real-l...
The design of accurate in silico cancer models capable of quantitatively predicting tumor growth is ...
MAJC and CKM gratefully acknowledge support of EPSRC grant no. EP/N014642/1 (EPSRC Centre for Multis...
International audienceIn this paper, we present a mathematical model for avascular tumor growth and ...
In this paper, we present two mathematical models related to different aspects and scales of cancer ...
Multiscale phenomena play an important role in our current society. In biological contexts, we can m...
We present a hybrid cellular automata–partial differential equation model of moderate complexity to ...
AbstractBased on the literature data from HT-29 cell monolayers, we develop a model for its growth, ...
In this paper, two types of cellular automata are studied in order to describe the 2-dimensional fre...
The recent discovery of cancer stem cells (CSCs), or tumor initiating cells (TICs), in a variety of ...
Cancer cells display characteristic traits acquired in a step-wise manner during carcinogenesis. Som...
summary:We study a class of parabolic-ODE systems modeling tumor growth, its mathematical modeling a...