Mathematical Biology

Mechanical Simulations of Cell Motility

Speaker: 
Leah Edelstein-Keshet
Date: 
Fri, May 25, 2012
Location: 
PIMS, University of British Columbia
Conference: 
Mathematical Cell Biology Summer Course
Abstract: 

Here I survey a broad range of recent computational models for 2D and 3D cell motility. Some of these models depict chemical activation on the perimeter of a (static or deforming) domain. Others consider fluid and/or mechanical elements and/or biochemical signalling on the interior of a deforming 2D region
representing a cell. Examples of platforms include the immersed-boundary method and level set methods. I describe some of the computational challenges and how these have been addressed by various researchers.

Class: 

Polymer Size Distributions (continued)

Speaker: 
Leah Edelstein-Keshet
Date: 
Wed, May 9, 2012
Location: 
PIMS, University of British Columbia
Conference: 
Mathematical Cell Biology Summer Course
Abstract: 

We continue the discussion from last time, and solve the polymer size distribution equations, which are linear in the case of constant monomer level.
In a distinct case, when monomer is depleted, we show that the size distribution evolves in two phases, where in the first, the entire distribution appears to satisfy a transport equation, and then, later on, once monomer is at its critical level, the process of length adjustment appears to be governed by
an effective diffusion (in size-class). Next, I introduce the problem of determining features of polymer assembly from experimental
polymerization versus time data. (Based on work by Flybjerg et al, this leads to an extended homework exercise carried out by the students.) Finally, I revisit microtubule growth and shrinking by discussing the Dogterom-Leibler equations and their steady state exponential solutions. I illustrate the use of XPP software to solve several problems in this lecture.

Class: 

Mathematical Cell Biology Summer Course Student Lecture 10

Speaker: 
Amanda Swan
Date: 
Wed, May 30, 2012
Location: 
PIMS, University of British Columbia
Conference: 
Mathematical Cell Biology Summer Course
Abstract: 

Diffusion of receptors on a cell membrane

Class: 

Mathematical Cell Biology Summer Course Student Lecture 9

Speaker: 
Brendan Thrasher
Date: 
Wed, May 30, 2012
Location: 
PIMS, University of British Columbia
Conference: 
Mathematical Cell Biology Summer Course
Abstract: 

Size regulation in cell organelles

Class: 

Mathematical Cell Biology Summer Course Student Lecture 7

Speaker: 
Jia Guo
Date: 
Wed, May 30, 2012
Location: 
PIMS, University of British Columbia
Conference: 
Mathematical Cell Biology Summer Course
Abstract: 

Transport of early endosomes on microtubules

Class: 

Mathematical Cell Biology Summer Course Student Lecture 6

Speaker: 
Tenghu Wu
Date: 
Wed, May 30, 2012
Location: 
PIMS, University of British Columbia
Conference: 
Mathematical Cell Biology Summer Course
Abstract: 

Reaction diffusion patterns

Class: 

Mathematical Cell Biology Summer Course Student Lecture 5

Speaker: 
May Ann Mata
Date: 
Wed, May 30, 2012
Location: 
PIMS, University of British Columbia
Abstract: 

Glucose, Insulin, and beta cell dynamics

Class: 

Mathematical Cell Biology Summer Course Student Lecture 4

Speaker: 
Laura Liao
Date: 
Wed, May 30, 2012
Location: 
PIMS, University of British Columbia
Abstract: 

Positional information and gradients

Class: 

Mathematical Cell Biology Summer Course Student Lecture 3

Speaker: 
Meghan Dutot
Date: 
Wed, May 30, 2012
Location: 
PIMS, University of British Columbia
Conference: 
Mathematical Cell Biology Summer Course
Abstract: 

Local Pulse Analysis applied to polarization models

Class: 

Mathematical Cell Biology Summer Course Student Lecture 2

Speaker: 
Rebecca Hiller
Date: 
Wed, May 30, 2012
Location: 
PIMS, University of British Columbia
Conference: 
Mathematical Cell Biology Summer Course
Abstract: 

Spindle Assembly checkpoint

Class: 

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