English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
  Dynamical properties of models for the Calvin cycle

Rendall, A. D., & Velazquez, J. J. L. (2014). Dynamical properties of models for the Calvin cycle. Journal of dynamics and differential equations, 26, 673-705. doi:10.1007/s10884-014-9385-y.

Item is

Basic

show hide
Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000E-EB07-A Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0024-3AD3-B
Genre: Journal Article

Files

show Files
hide Files
:
1303.3621 (Preprint), 357KB
Name:
1303.3621
Description:
File downloaded from arXiv at 2013-03-26 11:22
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
-

Locators

show

Creators

show
hide
 Creators:
Rendall, Alan D.1, Author              
Velazquez, Juan J. L., Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

Content

show
hide
Free keywords: Quantitative Biology, Molecular Networks, q-bio.MN,Mathematics, Dynamical Systems, math.DS
 Abstract: Modelling the Calvin cycle of photosynthesis leads to various systems of ordinary differential equations and reaction-diffusion equations. They differ by the choice of chemical substances included in the model, the choices of stoichiometric coefficients and chemical kinetics and whether or not diffusion is taken into account. This paper studies the long-time behaviour of solutions of several of these systems, concentrating on the ODE case. In some examples it is shown that there exist two positive stationary solutions. In several cases it is shown that there exist solutions where the concentrations of all substrates tend to zero at late times and others (runaway solutions) where the concentrations of all substrates increase without limit. In another case, where the concentration of ATP is explicitly included, runaway solutions are ruled out.

Details

show
hide
Language(s):
 Dates: 2013-03-1420132014
 Publication Status: Published in print
 Pages: 38 pages
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1303.3621
DOI: 10.1007/s10884-014-9385-y
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: Journal of dynamics and differential equations
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: New York : Plenum Press
Pages: - Volume / Issue: 26 Sequence Number: - Start / End Page: 673 - 705 Identifier: ISSN: 1040-7294
CoNE: /journals/resource/958480168421