Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Simulation of stochastic reaction-diffusion processes on lower dimensional manifolds with application in molecular biology
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology.
2012 (English)Independent thesis Advanced level (degree of Master (Two Years)), 30 credits / 45 HE creditsStudent thesis
Abstract [la]

In this thesis, we simulate stochastically the reaction-diffusion processes in a living cell. The simulation is done in three dimension (3D) by MATLAB. The one dimensional (1D) polymers are embedded in the 3D space. The reaction and diffusion events occur both in the space and on the polymers. There is also a possibility for the molecule to jump between the 3D space and 1D polymers. Two simulation levels are used: mesoscopic and microscopic. An accurate and efficient algorithm is developed for the mesoscopic simulation. The corresponding microscopic Smoluchowski equation is solved numerically by a finite difference method in a specific coordinate system adapted to its boundary conditions. The comparison between the result of the mesoscopic simulation and the solution of the microscopic Smoluchowski equation is provided. Good agreement is observed in the experiments.

Place, publisher, year, edition, pages
2012.
Series
IT, 12 045
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:uu:diva-181613OAI: oai:DiVA.org:uu-181613DiVA: diva2:557115
Educational program
Master Programme in Computational Science
Uppsok
Technology
Supervisors
Examiners
Available from: 2012-09-27 Created: 2012-09-27 Last updated: 2012-09-27Bibliographically approved

Open Access in DiVA

fulltext(2471 kB)320 downloads
File information
File name FULLTEXT01.pdfFile size 2471 kBChecksum SHA-512
41f6d0df1daec24608c524c12011481ec967b12542e704d016fb57e0f0e02a6f2a16d6ffa274df64eda13615a7de4f0d3a4a48b30ac4941c938a67a706d5ae95
Type fulltextMimetype application/pdf

By organisation
Department of Information Technology
Engineering and Technology

Search outside of DiVA

GoogleGoogle Scholar
Total: 320 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

urn-nbn

Altmetric score

urn-nbn
Total: 536 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf