Many important biological systems consist of moving interfaces that separate system components spatially. Interfaces vary across spatial scales and include the cell membrane, nucleus, intracellular organelles, and tissue. Examples of systems that involve interfaces include protein signaling on the membrane, cell motility, and tissue morphogenesis. Mathematically, such problems are typically described by partial differential equations. Given the complexity of the governing equations, analytical solutions are often intractable; simulating such models requires state-of-the-art numerical methods.
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.
Many important biological systems consist of moving interfaces that separate system components spatially. Interfaces vary across spatial scales and include the cell membrane, nucleus, intracellular organelles, and tissue. Examples of systems that involve interfaces include protein signaling on the membrane, cell motility, and tissue morphogenesis. Mathematically, such problems are typically described by partial differential equations. Given the complexity of the governing equations, analytical solutions are often intractable; simulating such models requires state-of-the-art numerical methods.
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.
