Titlebook: Methods of Mathematical Oncology; Fusion of Mathematic Takashi Suzuki,Clair Poignard,Vito Quaranta Conference proceedings 2021 Springer Nat

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Constitutive Modelling of Soft Biological Tissue from Ex Vivo to in Vivo: Myocardium as an Examplee is a critical need for accurate quantification of the biomechanical homeostasis in soft tissue through mathematical modelling, which is critically dependent on constitutive models, the mathematical descriptions that approximate the mechanical behaviours of material under specific conditions by con

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Mathematical Modeling of Gastro-Intestinal Metastasis Resistance to Tyrosine Kinase Inhibitors first-line treatment is a specific tyrosine kinase inhibitor (TKI), with a cytotoxic effect, that induces direct cell death. The second-line treatment is a multi-targeted TKI, with both cytotoxic and anti-angiogenic effect. The model is a coupled hyperbolic/elliptic system based on mass balance equ

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Mathematical Modeling for Angiogenesisstand complex movements of endothelial cells and molecular processes that drive angiogenic morphogenesis, time-lapse live imaging of dynamic collective cell migration and mathematical modeling have proven highly informative. This paper focuses on recent mathematical models for the dynamics of endoth

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Free Boundary Problem of Cell Deformation and Invasionnvasion of cell involving the interaction across plasma membrane is considered. The formation is formulated by Stefan problem approach which is known as free boundary problem where the boundary membrane is priori unknown. Changes in cell membrane will lead to protrusions of cell membrane. A normal g

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