Sweta Sinha

A numerical investigation of nonlinear age-structured tumor with bidirectional proliferative and quiescent phase transitions

Sweta Sinha, Paramjeet Singh

The study investigates a nonlinear model that describes the dynamics of populations of tumor cells, with a specific emphasis on the phases of cell proliferation and quiescence. The formulation of the model is determined by the age of the cells and time …

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Optimal Control for Biphasic Chemotaxis Model of Tumour Growth Under Chemotherapy

Sweta Sinha, Paramjeet Singh

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Mathematical and Numerical Modelling of Interference of Immune Cells in the Tumour Environment

Sweta Sinha, Paramjeet Singh, Mehmet Emir Köksal

In this article, the behaviour of tumour growth and its interaction with the immune system have been studied using a mathematical model in the form of partial differential equations. However, the development of tumours and how they interact with the immune system …

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Mathematical modeling and simulation of mechano-chemical effect on two-phase avascular tumor

Sweta Sinha, Paramjeet Singh

In this paper, we derive the mathematical model that allows chemotaxis in avascular tumor growth in a two-phase medium. The two phases are the viscous cell phase and the inviscid fluid phase. The conservation of mass–momentum is incorporated in each phase, and …

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