Conservation Laws in Biology: Two New Applications

Matan Mussel, Marshall Slemrod

Research output: Contribution to journalArticlepeer-review


This paper provides two new applications of conservation laws in biology. The first is the application of the van der Waals fluid formalism for action potentials. The second is the application of the conservation laws of differential geometry (Gauss– Codazzi equations) to produce non-smooth surfaces representing Endoplasmic Reticulum sheets.

Original languageEnglish
Pages (from-to)479-492
Number of pages14
JournalQuarterly of Applied Mathematics
Issue number3
StatePublished - Sep 2021
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2021 Brown University


  • Gauss–Codazzi equations
  • Hodgkin-Huxley system
  • action potentials
  • endoplasmic reticulum sheets
  • isometric embedding
  • phase transition
  • van der Waals fluid

ASJC Scopus subject areas

  • Applied Mathematics


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