Forces in a biological context
Armond, Jonathan W. (2010) Forces in a biological context. PhD thesis, University of Warwick.
WRAP_THESIS_Armond_2010.pdf - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Official URL: http://webcat.warwick.ac.uk/record=b2482004~S15
Theoretical modelling of the microtubule-Dam1-ring force generation mechanism
and the pulling of tubes from surface-supported lipid bilayers are presented and
discussed. Atomic force microscopy (AFM) force data of tube pulling experiments
is analysed and compared with theoretical predictions.
Featurescommonto recent computational models are simplified and examined
independently where possible. In particular, the steric confinement of the Dam1
ring on a microtubule (MT) by protofilaments (PFs), the powerstroke produced by
curling PFs, the depolymerisation of the MT, and the binding attraction between
Dam1 and the MT are modelled. Model parameters are fitted to data. Functional
force generation is equally demonstrated when attachment is maintained by steric
confinement alone (protofilament model) or by a binding attraction alone (binding
model). Moreover, parameters amenable to experimental modification are shown
to induce differences between the protofilament model and the binding model.
Changing the depolymerisation rate of MTs, the diffusion coefficient of the Dam1
ring, or applying an oscillating load force will allow discrimination of these two
different mechanisms of force generation and kinetochore attachment.
A previously described theoretical model of pulling lipid bilayer tubes from
vesicles is modified for the case of pulling tubes from surface-supported lipid
bilayers. A shape equation for axisymmetric membranes is derived variationally
and solved numerically for zero pressure. Free energy profiles and force curves
are calculated for various AFM probe sizes and compared to experimental data
where a ground flat AFM probe is used to pull tubes from surface-supported lipid
bilayers. The predicted force curves partially fit the experimental data, although
not at short distances, and estimates of the bilayer surface tension are given.
Pressure and volume profiles are calculated for the extension of the model to the
nonzero pressure case.
|Item Type:||Thesis or Dissertation (PhD)|
|Subjects:||Q Science > QA Mathematics
Q Science > QH Natural history
|Library of Congress Subject Headings (LCSH):||Microtubules -- Mathematical models, Bilayer lipid membranes -- Mathematical models, Atomic force microscopy|
|Official Date:||September 2010|
|Institution:||University of Warwick|
|Theses Department:||Molecular Organisation and Assembly in Cells|
|Supervisor(s)/Advisor:||Turner, Matthew S. ; Macpherson, Julie V.|
|Sponsors:||Engineering and Physical Sciences Research Council (EPSRC)|
|Extent:||149 p. : ill., charts|
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