Add to ORKGThe Cellular Potts Model (CPM) has been used for simulating various biological phenomena such as differential adhesion, fruiting body formation of the slime mold Dictyostelium discoideum, angiogenesis, cancer invasion, chondrogenesis in embryonic vertebrate limbs, and many others. In this paper, we derive continuous limit of discrete one dimensional CPM with the chemotactic interactions between cells in the form of a Fokker-Planck equation for the evolution of the cell probability density function. This equation is then reduced to the classical macroscopic Keller-Segel model. In particular, all coefficients of the Keller-Segel model are obtained from parameters of the CPM. Theoretical results are verified numerically by comparing Monte Carl...
In this paper an alternative derivation and interpretation are presented of the classical Keller-Seg...
Mathematical modeling is an essential approach for the understanding of complex multicellular behavi...
This paper deals with the derivation of macroscopic tissue models from the underlying description de...
The cellular Potts model (CPM) has been used for simulating various biological phenomena such as dif...
In the development of multiscale biological models it is crucial to establish a connection between d...
Cellular Potts models (CPMs) are used as a modeling framework to elucidate mechanisms of biological ...
Multiscale problems are ubiquitous and fundamental in all biological phenomena that emerge naturally...
Multiscale problems are ubiquitous and fundamental in all biological phenomena that emerge naturally...
In the last decade, the cellular Potts model has been extensively used to model interacting cell sys...
In the last decade, the cellular Potts model has been extensively used to model interacting cell sys...
In the last decade, the cellular Potts model has been extensively used to model interacting cell sys...
Abstract. With the aim of developing simulated multicellular organisms that develop, reproduce, and ...
Multiscale problems are ubiquitous in all biological phenomena, which emerge from the complex inter...
In this paper an alternative derivation and interpretation are presented of the classical Keller-Seg...
In this paper an alternative derivation and interpretation are presented of the classical Keller-Seg...
In this paper an alternative derivation and interpretation are presented of the classical Keller-Seg...
Mathematical modeling is an essential approach for the understanding of complex multicellular behavi...
This paper deals with the derivation of macroscopic tissue models from the underlying description de...
The cellular Potts model (CPM) has been used for simulating various biological phenomena such as dif...
In the development of multiscale biological models it is crucial to establish a connection between d...
Cellular Potts models (CPMs) are used as a modeling framework to elucidate mechanisms of biological ...
Multiscale problems are ubiquitous and fundamental in all biological phenomena that emerge naturally...
Multiscale problems are ubiquitous and fundamental in all biological phenomena that emerge naturally...
In the last decade, the cellular Potts model has been extensively used to model interacting cell sys...
In the last decade, the cellular Potts model has been extensively used to model interacting cell sys...
In the last decade, the cellular Potts model has been extensively used to model interacting cell sys...
Abstract. With the aim of developing simulated multicellular organisms that develop, reproduce, and ...
Multiscale problems are ubiquitous in all biological phenomena, which emerge from the complex inter...
In this paper an alternative derivation and interpretation are presented of the classical Keller-Seg...
In this paper an alternative derivation and interpretation are presented of the classical Keller-Seg...
In this paper an alternative derivation and interpretation are presented of the classical Keller-Seg...
Mathematical modeling is an essential approach for the understanding of complex multicellular behavi...
This paper deals with the derivation of macroscopic tissue models from the underlying description de...