4 papers
On a Mathematical Model Describing Chemotherapeutic Drug Treatment for Tumor Cells
Xiaoqin Liu, Hong-Ming Yin
In this paper, we study a semilinear parabolic PDE system which describes the interaction of normal cells, tumor cells, immune cells, with a chemotherapeutic drug. The model extend…
On a cross-diffusion hybrid model: Cancer Invasion Tissue with Normal Cell Involved
Guanjun Pan, Hong-Ming Yin
In this paper, we study a well-posedness problem on a new mathematical model for cancer invasion within the plasminogen activation system, which explicitly incorporates cooperation…
On a Modified Mathematical Model Arising from a Trojan Y Chromosome Strategy
Hong-Ming Yin
In this paper, we investigate a modified Trojan Y chromosome (TYC) strategy aimed at eradicating invasive species from natural habitats. The proposed mathematical model enhances th…
Existence, Stability and Optimal Drug Dosage for a Reaction-Diffusion System Arising in a Cancer Treatment
Jeff Morgan, Bao Quoc Tang, Hong-Ming Yin
In this paper, a reaction-diffusion system modeling injection of a chemotherapeutic drug on the surface of a living tissue during a treatment for cancer patients is studied. The sy…