Numerical simulation of avascular tumor growth based on p27 gene regulation

殷雅俊,; 李颖,; 杨帆,; 范钦珊,

doi:10.1007/s10483-013-1673-6

Cited by 3 publications

(1 citation statement)

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“…Subsequent series-hybrid models of tumor growth were proposed based on Anderson's model[ 3 – 6 ]. Recently, Zhou et al[ 7 ] presented a multiscale continuum-discrete model to simulate avascular tumor growth, based on the effects of p27 gene. Additionally, Lyu et al[ 8 ] built a hybrid model of tumor growth considering static capillary points.…”

Section: Introductionmentioning

confidence: 99%

Coupled Hybrid Continuum-Discrete Model of Tumor Angiogenesis and Growth

et al. 2016

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The processes governing tumor growth and angiogenesis are codependent. To study the relationship between them, we proposed a coupled hybrid continuum-discrete model. In this model, tumor cells, their microenvironment (extracellular matrixes, matrix-degrading enzymes, and tumor angiogenic factors), and their network of blood vessels, described by a series of discrete points, were considered. The results of numerical simulation reveal the process of tumor growth and the change in microenvironment from avascular to vascular stage, indicating that the network of blood vessels develops gradually as the tumor grows. Our findings also reveal that a tumor is divided into three regions: necrotic, semi-necrotic, and well-vascularized. The results agree well with the previous relevant studies and physiological facts, and this model represents a platform for further investigations of tumor therapy.

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Section: Introductionmentioning

confidence: 99%

Coupled Hybrid Continuum-Discrete Model of Tumor Angiogenesis and Growth

et al. 2016

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Transient analysis of multiple interface cracks between two dissimilar functionally graded magneto-electro-elastic layers

Milan

Ayatollahi

2020

Arch Appl Mech

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Dynamics of a multiplex neural network with delayed couplings

Mao

Ding

et al. 2021

Appl. Math. Mech.-Engl. Ed.

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Multiplex networks have drawn much attention since they have been observed in many systems, e.g., brain, transport, and social relationships. In this paper, the nonlinear dynamics of a multiplex network with three neural groups and delayed interactions is studied. The stability and bifurcation of the network equilibrium are discussed, and interesting neural activities of the network are explored. Based on the neuron circuit, transfer function circuit, and time delay circuit, a circuit platform of the network is constructed. It is shown that delayed couplings play crucial roles in the network dynamics, e.g., the enhancement and suppression of the stability, the patterns of the synchronization between networks, and the generation of complicated attractors and multi-stability coexistence.

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Numerical simulation of avascular tumor growth based on p27 gene regulation

Cited by 3 publications

References 10 publications

Coupled Hybrid Continuum-Discrete Model of Tumor Angiogenesis and Growth

Coupled Hybrid Continuum-Discrete Model of Tumor Angiogenesis and Growth

Transient analysis of multiple interface cracks between two dissimilar functionally graded magneto-electro-elastic layers

Dynamics of a multiplex neural network with delayed couplings

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