首页> 外文会议>Cellular Automata; Lecture Notes in Computer Science; 4173 >Combination of the Cellular Potts Model and Lattice Gas Cellular Automata for Simulating the Avascular Cancer Growth
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Combination of the Cellular Potts Model and Lattice Gas Cellular Automata for Simulating the Avascular Cancer Growth

机译:细胞Potts模型和格子气体细胞自动机的组合,用于模拟无血管癌的生长

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The advantage of Cellular Potts Model (CPM) is due to its ability for introducing cell-cell interaction based on the well known statistical model I.e. the Potts model. On the other hand, Lattice gas Cellular Automata (LGCA) can simulate movement of cell in a simple and correct physical way. These characters of CPM and LGCA have been combined in a reaction-diffusion frame to simulate the dynamic of avascular cancer growth on a more physical basis.The cellular automaton is evolved on a square lattice on which in the diffusion step tumor cells ? and necrotic cells (N) propagate in two dimensions and in the reaction step every cell can proliferate, be quiescent or die due to the apoptosis and the necrosis depending on its environment. The transition probabilities in the reaction step have been calculated by the Glauber algorithm and depend on the K_(CC), K_(NC), and A_(NN) (cancer-cancer, necrotic cancer, and necrotic-necrotic couplings respectively). It is shown the main feature of the cancer growth depends on the choice of magnitude of couplings and the advantage of this method compared to other methods is due to the fact that it needs only three parameters K_(CC), K_(NC) and K_(NN) which are based on the well known physical ground I.e. the Potts model.
机译:细胞盆栽模型(CPM)的优势是由于其具有基于众所周知的统计模型即细胞-细胞相互作用的能力。 Potts模型。另一方面,莱迪思气体细胞自动机(LGCA)可以以简单且正确的物理方式模拟细胞的运动。 CPM和LGCA的这些特征在反应扩散框架中结合在一起,可以在更物理的基础上模拟无血管癌的生长动态。坏死细胞(N)会二维传播,并且在反应步骤中,每个细胞都会因凋亡和坏死而增殖,静止或死亡,具体取决于其环境。反应步骤中的转移概率已通过Glauber算法计算出,并取决于K_(CC),K_(NC)和A_(NN)(分别是癌症,坏死性癌症和坏死性坏死偶联)。结果表明,癌症生长的主要特征取决于耦合程度的选择,与其他方法相比,该方法的优势在于它仅需要三个参数K_(CC),K_(NC)和K_ (NN)基于众所周知的物理基础Potts模型。

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