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Explicit solutions and exact model reduction of mass action systems

Sartorius, Carolina LU (2016) In Master's Theses in Mathematical Sciences FMA820 20152
Mathematics (Faculty of Engineering)
Abstract
This thesis concerns steady state equations of mass action systems and methods for solving them symbolically in Matlab.

We study two different methods for solving such systems with slightly different applicability. One that is fast but limited, the other one is slower but more general.

We also study the question of parameter dependence of solutions and model reduction. The parameter dependence is done both for all concentrations and for specific outputs.

We apply these methods to a biochemical system arising in neuroscience with the goal of making computations on the system faster and to better understand the behaviour of the system.
Please use this url to cite or link to this publication:
author
Sartorius, Carolina LU
supervisor
organization
course
FMA820 20152
year
type
H2 - Master's Degree (Two Years)
subject
keywords
Mass action system, chemical reaction network, model reduction, parameter dependence, linear algebra, explicit solution, Matlab, symbolic solution
publication/series
Master's Theses in Mathematical Sciences
report number
LUTFMA-3285-2016
ISSN
1404-6342
other publication id
2016:E1
language
English
id
8567332
date added to LUP
2016-04-12 16:52:18
date last changed
2016-04-12 16:52:18
@misc{8567332,
  abstract     = {This thesis concerns steady state equations of mass action systems and methods for solving them symbolically in Matlab. 

We study two different methods for solving such systems with slightly different applicability. One that is fast but limited, the other one is slower but more general. 

We also study the question of parameter dependence of solutions and model reduction. The parameter dependence is done both for all concentrations and for specific outputs. 

We apply these methods to a biochemical system arising in neuroscience with the goal of making computations on the system faster and to better understand the behaviour of the system.},
  author       = {Sartorius, Carolina},
  issn         = {1404-6342},
  keyword      = {Mass action system,chemical reaction network,model reduction,parameter dependence,linear algebra,explicit solution,Matlab,symbolic solution},
  language     = {eng},
  note         = {Student Paper},
  series       = {Master's Theses in Mathematical Sciences},
  title        = {Explicit solutions and exact model reduction of mass action systems},
  year         = {2016},
}