Developing a Novel Method Based on Orthogonal Polynomial Equation to Approximate the Solution of Agent Based Model for the Immune System Simulation

Author(s):  
Xuming Tong ◽  
Meijing Kong ◽  
Edwin Tawanda Mudzingwa ◽  
Le Zhang
2006 ◽  
Vol 244 (2) ◽  
pp. 77-79 ◽  
Author(s):  
V. Baldazzi ◽  
F. Castiglione ◽  
M. Bernaschi

Author(s):  
Ignacio V. Martínez Espinosa ◽  
Enrique J. Gómez Aguilera ◽  
María E. Hernando Pérez ◽  
Ricardo Villares ◽  
José Mario Mellado García

SIMULATION ◽  
2017 ◽  
Vol 93 (8) ◽  
pp. 641-657 ◽  
Author(s):  
Fateme Pourhasanzade ◽  
S.H Sabzpoushan ◽  
Ali Mohammad Alizadeh ◽  
Ebrahim Esmati

Mathematical and computational models are of great help to study and predict phenomena associated with cancer growth and development. These models may lead to introduce new therapies or improve current treatments by discovering facts that may not be easily discovered in clinical experiments. Here, a new two-dimensional (2D) stochastic agent-based model is presented for the spatiotemporal study of avascular tumor growth based on the effect of the immune system. The simple decision-making rules of updating the states of each agent depend not only on its intrinsic properties but also on its environment. Tumor cells can interact with both normal and immune cells in their Moore neighborhood. The effect of hypoxia has been checked off by considering non-mutant proliferative tumor cells beside mutant ones. The recruitment of immune cells after facing a mass of tumor is also considered. Results of the simulations are presented before and after the appearance of immune cells in the studied tissue. The growth fraction and necrotic fraction are used as output parameters along with a 2D graphical growth presentation. Finally, the effect of input parameters on the output parameters generated by the model is discussed. The model is then validated by an in vivo study published in medical articles. The results show a multi-spherical tumor growth before the immune system strongly involved in competition with tumor cells. Besides, considering the immune system in the model shows more compatibility with biological facts. The effect of the microenvironment on the proliferation of cancer and immune cells is also studied.


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