Explicit solutions and exact model reduction of mass action systems
(2016) In Master's Theses in Mathematical Sciences FMA820 20152Mathematics (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:
http://lup.lub.lu.se/student-papers/record/8567332
- author
- Sartorius, Carolina LU
- supervisor
- organization
- course
- FMA820 20152
- year
- 2016
- 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
- 2021-01-27 12:54:05
@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}}, 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}}, }