Mathematical Modeling of Biofilms: Theory, Numerics and Applications
(2006) In Doctoral Theses in Mathematical Sciences Abstract
 A biofilm is a complex and diverse aggregation of microorganisms at surface comprised of among different things a protective adhesive matrix of extracellular polymeric substance. Biofilm research represents a broad range of sciences joining efforts within an interdisciplinary field of research. This thesis deals with the modeling of biofilms using the most fundamental laws of physics; the conservation laws of mass and momentum for fluids. Common to all parts of this work is an aim to develop robust and general mathematical models readily applicable for computational use.
Two new biofilm models for growth are derived in this thesis; one describing and combining an individual description of microbial particles with a... (More)  A biofilm is a complex and diverse aggregation of microorganisms at surface comprised of among different things a protective adhesive matrix of extracellular polymeric substance. Biofilm research represents a broad range of sciences joining efforts within an interdisciplinary field of research. This thesis deals with the modeling of biofilms using the most fundamental laws of physics; the conservation laws of mass and momentum for fluids. Common to all parts of this work is an aim to develop robust and general mathematical models readily applicable for computational use.
Two new biofilm models for growth are derived in this thesis; one describing and combining an individual description of microbial particles with a continuum representation of the biofilm matrix, and one a model based solely on a continuum framework of partial differential equations. The latter is applied in a bottomup approach as a mass balance model for a Moving Bed biofilm process. Finally, an attempt of capturing the conservation of momentum for both water and biomass is presented. This will allow for viscoelastic and other constitutive properties to influence biomass structure (through growth or fluid shear stresses) as well as erosion and sloughing detachment; under basic laws of physics. All models are applied and demonstrated in silico; for examples such as growth, deformation and detachment under fluid shear stress. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/25603
 author
 Alpkvist, Erik ^{LU}
 supervisor

 Anders Heyden ^{LU}
 opponent

 Professor Dockery, Jack D., Department of Mathematical Sciences, Montana State University, Bozeman
 organization
 publishing date
 2006
 type
 Thesis
 publication status
 published
 subject
 keywords
 mathematical modeling, Mathematics, conservation laws, biofilm, Matematik
 in
 Doctoral Theses in Mathematical Sciences
 pages
 185 pages
 publisher
 Centre for Mathematical Sciences, Lund University
 defense location
 Ubåtshallen, U301, Malmö Högskola
 defense date
 20061208 10:15:00
 ISSN
 14040034
 ISBN
 9789162865122
 language
 English
 LU publication?
 yes
 id
 70cbd970b75b4a898b93089db9b44f7d (old id 25603)
 date added to LUP
 20160401 17:05:47
 date last changed
 20190521 13:42:45
@phdthesis{70cbd970b75b4a898b93089db9b44f7d, abstract = {A biofilm is a complex and diverse aggregation of microorganisms at surface comprised of among different things a protective adhesive matrix of extracellular polymeric substance. Biofilm research represents a broad range of sciences joining efforts within an interdisciplinary field of research. This thesis deals with the modeling of biofilms using the most fundamental laws of physics; the conservation laws of mass and momentum for fluids. Common to all parts of this work is an aim to develop robust and general mathematical models readily applicable for computational use.<br/><br> <br/><br> Two new biofilm models for growth are derived in this thesis; one describing and combining an individual description of microbial particles with a continuum representation of the biofilm matrix, and one a model based solely on a continuum framework of partial differential equations. The latter is applied in a bottomup approach as a mass balance model for a Moving Bed biofilm process. Finally, an attempt of capturing the conservation of momentum for both water and biomass is presented. This will allow for viscoelastic and other constitutive properties to influence biomass structure (through growth or fluid shear stresses) as well as erosion and sloughing detachment; under basic laws of physics. All models are applied and demonstrated in silico; for examples such as growth, deformation and detachment under fluid shear stress.}, author = {Alpkvist, Erik}, isbn = {9789162865122}, issn = {14040034}, language = {eng}, publisher = {Centre for Mathematical Sciences, Lund University}, school = {Lund University}, series = {Doctoral Theses in Mathematical Sciences}, title = {Mathematical Modeling of Biofilms: Theory, Numerics and Applications}, year = {2006}, }