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	American 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

Keywords

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

All Science Journal Classification (ASJC) codes

Applied Mathematics

Access to Document

10.1090/qam/1590

Cite this

@article{0f61513672a64876b86c51fcc811ec24,

title = "Conservation Laws in Biology: Two New Applications",

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.",

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

author = "Matan Mussel and Marshall Slemrod",

note = "Publisher Copyright: {\textcopyright} 2021 Brown University",

year = "2021",

month = sep,

doi = "10.1090/qam/1590",

language = "American English",

volume = "79",

pages = "479--492",

journal = "Quarterly of Applied Mathematics",

issn = "0033-569X",

publisher = "American Mathematical Society",

number = "3",

}

TY - JOUR

T1 - Conservation Laws in Biology

T2 - Two New Applications

AU - Mussel, Matan

AU - Slemrod, Marshall

PY - 2021/9

Y1 - 2021/9

N2 - 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.

AB - 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.

KW - Gauss–Codazzi equations

KW - Hodgkin-Huxley system

KW - action potentials

KW - endoplasmic reticulum sheets

KW - isometric embedding

KW - phase transition

KW - van der Waals fluid

UR - http://www.scopus.com/inward/record.url?scp=85108520853&partnerID=8YFLogxK

U2 - 10.1090/qam/1590

DO - 10.1090/qam/1590

M3 - Article

SN - 0033-569X

VL - 79

SP - 479

EP - 492

JO - Quarterly of Applied Mathematics

JF - Quarterly of Applied Mathematics

IS - 3

ER -

Conservation Laws in Biology: Two New Applications

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this