The Swelling of Mitochondria: Degenerate Diffusion

Messoud Efendiev
Additional contact information
Messoud Efendiev: Helmholtz Center Munich, Institute of Computational Biology

Chapter Chapter 6 in Mathematical Modeling of Mitochondrial Swelling, 2018, pp 187-206 from Springer

Abstract: Abstract This chapter consists of two subsections, and we consider the effect of degenerate diffusion on mitochondria swelling behavior. In Sect. 6.1 we study the well posedness of solutions under homogeneous Dirichlet boundary conditions. Note that we cannot apply the methods developed in the previous chapters for nondegenerate diffusion and new methods have been developed in order to study both well posedness and asymptotic behavior of solutions. In this section we show that the calcium ion concentration will tend to zero and that, in general, complete swelling will not take place as time goes to infinity in the case of degenerate diffusion. Section 6.2 gives numerical simulations.

Date: 2018
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-99100-9_6

Ordering information: This item can be ordered from
http://www.springer.com/9783319991009

DOI: 10.1007/978-3-319-99100-9_6

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().