Equilibrium states and oscillations for localized two-enzyme kinetics: A model for circadian rhythms

Howard D. Thames; Allen D. Elster

doi:10.1016/0022-5193(76)90180-6

Equilibrium states and oscillations for localized two-enzyme kinetics: A model for circadian rhythms

Howard D. Thames, Allen D. Elster

Section of Neuroradiology

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

11 Scopus citations

Abstract

Two models of localized catalysis are presented. In Problem I we study cooperatively coupled enzymes bound to membranes separated from each other. In Problem II the interaction of a membrane bound with a soluble (homogeneously distributed on a finite interval) enzyme is considered, with non-linearity in the bulk solution. One of the models is developed to describe cellular circadian rhythms at the molecular level.

Original language	English
Pages (from-to)	415-427
Number of pages	13
Journal	Journal of Theoretical Biology
Volume	59
Issue number	2
DOIs	https://doi.org/10.1016/0022-5193(76)90180-6
State	Published - Jul 7 1976

Keywords

Bistability
Circadian Rhythms
Membranes
Oscillations

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10.1016/0022-5193(76)90180-6

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title = "Equilibrium states and oscillations for localized two-enzyme kinetics: A model for circadian rhythms",

abstract = "Two models of localized catalysis are presented. In Problem I we study cooperatively coupled enzymes bound to membranes separated from each other. In Problem II the interaction of a membrane bound with a soluble (homogeneously distributed on a finite interval) enzyme is considered, with non-linearity in the bulk solution. One of the models is developed to describe cellular circadian rhythms at the molecular level.",

keywords = "Bistability, Circadian Rhythms, Membranes, Oscillations",

author = "Thames, {Howard D.} and Elster, {Allen D.}",

note = "Funding Information: The authors gratefully acknowledge the support of the facilities of the Biomathematics Department. This work was partially funded by grant CA11430 from the National Cancer Institute.",

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T2 - A model for circadian rhythms

AU - Thames, Howard D.

AU - Elster, Allen D.

N1 - Funding Information: The authors gratefully acknowledge the support of the facilities of the Biomathematics Department. This work was partially funded by grant CA11430 from the National Cancer Institute.

PY - 1976/7/7

Y1 - 1976/7/7

N2 - Two models of localized catalysis are presented. In Problem I we study cooperatively coupled enzymes bound to membranes separated from each other. In Problem II the interaction of a membrane bound with a soluble (homogeneously distributed on a finite interval) enzyme is considered, with non-linearity in the bulk solution. One of the models is developed to describe cellular circadian rhythms at the molecular level.

AB - Two models of localized catalysis are presented. In Problem I we study cooperatively coupled enzymes bound to membranes separated from each other. In Problem II the interaction of a membrane bound with a soluble (homogeneously distributed on a finite interval) enzyme is considered, with non-linearity in the bulk solution. One of the models is developed to describe cellular circadian rhythms at the molecular level.

KW - Bistability

KW - Circadian Rhythms

KW - Membranes

KW - Oscillations

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U2 - 10.1016/0022-5193(76)90180-6

DO - 10.1016/0022-5193(76)90180-6

M3 - Article

C2 - 957698

AN - SCOPUS:0017076164

SN - 0022-5193

VL - 59

SP - 415

EP - 427

JO - Journal of Theoretical Biology

JF - Journal of Theoretical Biology

IS - 2

ER -

Equilibrium states and oscillations for localized two-enzyme kinetics: A model for circadian rhythms

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Keywords

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