About this Research Topic
In this Research Topic, we welcome papers that consider numerical simulations of interface problems in biology which can be described by partial differential equations. The numerical techniques to describe the interface may include interface tracking methods (e.g. immersed boundary, ALE) as well as interface capturing methods (e.g. phase-field, level-set).
The scope of this Research Topic includes a broad variety of interface problems
- Free boundary problems, i.e. biological systems given in a time-evolving domain
- Models of biological processes on complex or moving surfaces
- Coupled systems of bulk and surface equations on evolving geometries
Contributions may include the development of novel mathematical models to describe interface problems in biology, numerical analysis of well-known governing equations, as well as contributions from scientific computing that apply numerical techniques to gain insight into such systems. Interdisciplinary research with experimental results are encouraged. Reviews of the above topics would also be appropriate for submission.
Keywords: free boundary problems, computational biology, numerical simulation, surfaces, membranes
Important Note: All contributions to this Research Topic must be within the scope of the section and journal to which they are submitted, as defined in their mission statements. Frontiers reserves the right to guide an out-of-scope manuscript to a more suitable section or journal at any stage of peer review.