2012/03/22 by Jason M. Graham, Graham, Jason M., Bruce P. Ayati +1
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #Cell Behavior (q-bio.CB) #Cellular Mechanics and Interactions #FOS: Biological sciences #Gene Regulatory Network Analysis #Mathematical Biology Tumor Growth #Monoclonal and Polyclonal Antibodies Research #Quantitative Methods (q-bio.QM)
paper · pdf · doi:10.48550/arxiv.1203.4993
openalex publication_date 2012/03/22 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28
In this paper we develop mathematical models for collective cell motility.\nInitially we develop a model using a linear diffusion-advection type equation\nand fit the parameters to data from cell motility assays. This approach is\nhelpful in classifying the results of cell motility assay experiments. In\nparticular, this model can determine degrees of directed versus undirected\ncollective cell motility. Next we develop a model using a nonlinear diffusion\nterm that is able capture in a unified way directed and undirected collective\ncell motility. Finally we apply the nonlinear diffusion approach to a problem\nin tumor cell invasion, noting that neither chemotaxis or haptotaxis are\npresent in the system under consideration in this article.\n