Free boundary problems in biology
Copyright policy )Free boundary problems in biology
In this paper, I review several free boundary problems that arise in the mathematical modelling of biological processes. The biological topics are quite diverse: cancer, wound healing, biofilms, granulomas and atherosclerosis. For each of these topics, I describe the biological background and the mathematical model, and then proceed to state mathematical results, including existence and uniqueness theorems, stability and asymptotic limits, and the behaviour of the free boundary. I also suggest, for each of the topics, open mathematical problems.
- The Ohio State University United States
- THE OHIO STATE UNIVERSITY United States
- The Ohio State University United States
Wound Healing, PDEs in connection with biology, chemistry and other natural sciences, Models, Biological, Medical applications (general), Neoplasms, Animals, Humans, Computer Simulation, Energy Metabolism, General biology and biomathematics, Cell Proliferation, Skin
Wound Healing, PDEs in connection with biology, chemistry and other natural sciences, Models, Biological, Medical applications (general), Neoplasms, Animals, Humans, Computer Simulation, Energy Metabolism, General biology and biomathematics, Cell Proliferation, Skin
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).25 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!