A OneDimensional Model For Neuronal Growth
(2013) In Master's Theses in Mathematical Sciences 2013:E10 FMA820 20122Mathematics (Faculty of Engineering)
 Abstract
 A mathematical model for neuronal growth is presented, describing the process of axonal elongation. The main construction material is a protein called tubulin, which is produced in the soma (core body of the cell), and transported inside the axon to a structure known as the growth cone on its tip, where the construction process occurs. The concentration of tubulin is modelled by a convectiondiffusion PDE along the axon and by an ODE in the small tip. The length of the axon as a function of time is given by another ODE which models the building process in the growth cone. The entire model constitutes a coupled movingboundary problem for which a numerical method is described and investigated. Simulation are also presented with parameter... (More)
 A mathematical model for neuronal growth is presented, describing the process of axonal elongation. The main construction material is a protein called tubulin, which is produced in the soma (core body of the cell), and transported inside the axon to a structure known as the growth cone on its tip, where the construction process occurs. The concentration of tubulin is modelled by a convectiondiffusion PDE along the axon and by an ODE in the small tip. The length of the axon as a function of time is given by another ODE which models the building process in the growth cone. The entire model constitutes a coupled movingboundary problem for which a numerical method is described and investigated. Simulation are also presented with parameter values from literature in the case of the squid (Loligo pealeii). (Less)
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/studentpapers/record/3563796
 author
 Perna, Stefano ^{LU}
 supervisor

 Stefan Diehl ^{LU}
 organization
 course
 FMA820 20122
 year
 2013
 type
 H2  Master's Degree (Two Years)
 subject
 publication/series
 Master's Theses in Mathematical Sciences 2013:E10
 report number
 LUTFMA32412013
 ISSN
 14046342
 other publication id
 2013:E10
 language
 English
 id
 3563796
 date added to LUP
 20130529 14:55:09
 date last changed
 20130529 14:55:09
@misc{3563796, abstract = {A mathematical model for neuronal growth is presented, describing the process of axonal elongation. The main construction material is a protein called tubulin, which is produced in the soma (core body of the cell), and transported inside the axon to a structure known as the growth cone on its tip, where the construction process occurs. The concentration of tubulin is modelled by a convectiondiffusion PDE along the axon and by an ODE in the small tip. The length of the axon as a function of time is given by another ODE which models the building process in the growth cone. The entire model constitutes a coupled movingboundary problem for which a numerical method is described and investigated. Simulation are also presented with parameter values from literature in the case of the squid (Loligo pealeii).}, author = {Perna, Stefano}, issn = {14046342}, language = {eng}, note = {Student Paper}, series = {Master's Theses in Mathematical Sciences 2013:E10}, title = {A OneDimensional Model For Neuronal Growth}, year = {2013}, }