1. Mathematical modelling and simulation of invadopodia formation due to ligand and transmembrane protein binding.
- Author
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Hamidi, Muhammad Amsyar, Azhuan, Nur Azura Noor, Yaacob, Noorehan, Suzuki, Takashi, and Admon, Mohd Ariff
- Subjects
MEMBRANE proteins ,PROTEIN binding ,MATHEMATICAL models ,LEVEL set methods ,MATRIX metalloproteinases ,EXTRACELLULAR matrix proteins - Abstract
Cancer cells have the ability to infect nearby tissue and spread to other parts of the body. This process is known as metastasis, and it is widely recognised as the primary source of cancer cell invasion and the leading cause of death in cancer patients. We discovered specialised cellular membrane structures in invasive cancer cells that carry out a crucial phase in cancer invasion known as invadopodia. Actin rearrangement, extracellular matrix degradation, signalling transduction via membrane receptors such as the epidermal growth factor receptor and matrix metalloproteinase combination, and distribution to the invading front are all required for the creation of invadopodia. In this study, a mathematical model of invadopodia formation associated with binding of ligand and epidermal growth factor receptor (EGFR) that stimulates signal transduction is investigated. The ligand and signal equations are considered as heat equations with initial and free boundary conditions. The concentrations of signal and ligand are assumed to be equivalent to the concentration of EGFR on the plasma membrane (interface). Furthermore, the EGFR equation is derived from material derivatives of the reaction between ligand and EGFR that occurs at the interface. The EGFR velocity is equivalent to the ligand gradient. To detect the movement of the moving interface, the level set method is highlighted by designating the interface as the zero-level set function. In addition, the regular and nearby points are solved using the second-order centred difference and the ghost fluid with linear extrapolation methods, respectively. The velocity is calculated using the gradient difference between the intracellular signal and the extracellular ligand, which moves the interface. The results demonstrated that protrusions or invadopodia are produced on the plasma membrane using Matlab software. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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