Cells are highly sensitive to mechanical cues in their microenvironment, which play a fundamental role in regulating orientation, cytoskeletal organization, and growth dynamics. In particular, cells and neurons seeded on cyclically stretched substrates have been shown to reorient toward well-defined equilibrium angles with respect to the principal strain direction \cite{lucci:review}
Cell...
Linking models to experimental data is a common challenge in mathematical biology. Several techniques have been developed to parameterize theoretical frameworks, including maximum likelihood estimation and Approximate Bayesian Computation. Previous work established that combining these approaches with spatial data analysis, specifically with statistics known as pairwise correlation functions...
Chimeric antigen receptor (CAR) T-cell therapy has shown remarkable clinical success in the treatment of B-cell malignancies. Numerous mathematical models have been developed to describe the interactions between CAR T cells and malignant B cells at the tumor site \cite{LT21, S25}; however, these approaches often neglect the systemic trafficking of CAR T cells across physiological compartments,...
Cancer invasion and metastasis are multiscale processes driven by complex interactions between cancer cells and the tumour microenvironment. A key mechanism underlying cancer heterogeneity is the Epithelial-to-Mesenchymal Transition (EMT), through which proliferative epithelial-like cancer cells (ECCs), forming the bulk of solid tumours, progressively acquire migratory and invasive...
Cell migration is involved in many developmental process such as embryogenesis, morphogenesis, angiogenesis or cancer invasion and critically depends on the mechanical properties of the extra-cellular matrix (ECM). Indeed, in the mesenchymal migration mode, cells tend to follow ECM stiffness gradient. This durotaxis (\cite{Durotaxis}) is explained by the ability of the cell to probe its...
Motivated by variational models for heterogeneous biological membranes such as those described by the Canham-Helfrich functional, we study closed planar elastic curves whose bending stiffness depends on an additional scalar density. The resulting energy can be seen as the one-dimensional analogue of 2D membrane models.
Previous work on the static problem include \cite{bjss2023}, where the...
Cell-extracellular matrix interaction and the mechanical properties of the cell nucleus have been demonstrated to play a fundamental role in cell movement across fibrous networks, micro-channels, basal membranes, and confining environment in general. So, their study is important on one hand in oncology to understand the spread of cancer metastases and on the other hand in tissue engineering to...
Cell migration plays a central role in key physiological and pathological contexts, including embryonic development, immune responses, tissue repair, and tumour invasion. It arises from the coordinated interplay of mechanisms acting across multiple spatial and temporal scales: from subcellular events - cytoskeletal remodelling, nuclear deformation, polarization, intracellular signalling - to...
