Conservation Laws in Biology: Two New Applications

Matan Mussel; Marshall Slemrod

doi:10.1090/qam/1590

Conservation Laws in Biology: Two New Applications

Matan Mussel, Marshall Slemrod

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Pages (from-to)	479-492
Number of pages	14
Journal	Quarterly of Applied Mathematics
Volume	79
Issue number	3
DOIs	https://doi.org/10.1090/qam/1590
State	Published - Sep 2021
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2021 Brown University

Keywords

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

Access to Document

10.1090/qam/1590

Cite this

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Conservation Laws in Biology: Two New Applications

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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