Mathematical Biology

Mathematical Cell Biology Summer Course Lecture 5

Speaker: 
Raibatak (Dodo) Das
Date: 
Thu, May 3, 2012
Location: 
PIMS, University of British Columbia
Conference: 
Mathematical Cell Biology Summer Course
Abstract: 
  • Cell biology imaging techniques
    • 1. Introduction: Basic optics | Phase contrast | DIC | Mechanism of fluorescence | Fluorophores
    • 2. Fluorescence microscopy: Fluorescent labelling biological samples |
      Epifluorescence microscopy |
      Confocal fluorescence microscopy
    • 3. Advanced techniques: FRAP | FRET | TIRF | Super-resolution imaging
      (time permitting)
    • 4. FRAP data and modelling integrin dynamics
Class: 
Scientific
Subject: 
Mathematics
Mathematical Biology

Simple biochemical motifs (1, 2, & 3)

Speaker: 
Leah Edelstein-Keshet
Date: 
Wed, May 2, 2012
Location: 
PIMS, University of British Columbia
Conference: 
Mathematical Cell Biology Summer Course
Abstract: 

This triplet of introductory lectures summarizes a few of the most basic biochemical models with the simple rate equations that they satisfy. I describe production-decay, with Michaelis-Menten and sigmoidal terms, showing how the latter can lead to bistable behaviour and hysteresis. I describe two bistable genetic circuits: the toggle switch by Gardner et al (2000) Nature 403, and the phage-lambda gene by Hasty et al (2000) PNAs 97. The idea of bifurcations is discussed. Finally, I introduce
phosphorylation cycles, and show that sharp responses can arise when the enzymes responsible (kinase and phosphatase) operate near saturation. (This is the so called Goldbeter-Koshland ultrasensitivity).

Class: 
Scientific
Subject: 
Mathematics
Mathematical Biology

Mathematical Cell Biology Summer Course Lecture 3

Speaker: 
Raibatak (Dodo) Das
Date: 
Wed, May 2, 2012
Location: 
PIMS, University of British Columbia
Conference: 
Mathematical Cell Biology Summer Course
Abstract: 
  • Cell biology imaging techniques
    • 1. Introduction: Basic optics | Phase contrast | DIC | Mechanism of fluorescence | Fluorophores
    • 2. Fluorescence microscopy: Fluorescent labelling biological samples |
      Epifluorescence microscopy |
      Confocal fluorescence microscopy
    • 3. Advanced techniques: FRAP | FRET | TIRF | Super-resolution imaging
      (time permitting)
    • 4. FRAP data and modelling integrin dynamics
Class: 
Scientific
Subject: 
Mathematics
Mathematical Biology

Mathematical Cell Biology Summer Course Lecture 2

Speaker: 
Raibatak (Dodo) Das
Date: 
Tue, May 1, 2012
Location: 
PIMS, University of British Columbia
Conference: 
Mathematical Cell Biology Summer Course
Abstract: 
  • Cell biology imaging techniques
    • 1. Introduction: Basic optics | Phase contrast | DIC | Mechanism of fluorescence | Fluorophores
    • 2. Fluorescence microscopy: Fluorescent labelling biological samples |
      Epifluorescence microscopy |
      Confocal fluorescence microscopy
    • 3. Advanced techniques: FRAP | FRET | TIRF | Super-resolution imaging
      (time permitting)
    • 4. FRAP data and modelling integrin dynamics
Class: 
Scientific
Subject: 
Mathematics
Mathematical Biology

Introduction

Speaker: 
Leah Edelstein-Keshet
Date: 
Tue, May 1, 2012
Location: 
PIMS, University of British Columbia
Conference: 
Mathematical Cell Biology Summer Course
Abstract: 

This opening lecture lists some of the questions and issues propelling current research in Cell Biology and modelling in this field. I introduce basic features of eukaryotic cells that can crawl, and explain briefly the role of the actin cytoskeleton in cell motility. I also introduce the biochemical signalling that regulates the cytoskeleton and the concept of cell polarization. By simplifying the
enormously complex signalling networks, and applying tools of mathematics (nonlinear dynamics, scaling, bifurcations), we can hope to get some understanding of a few of the basic mechanisms that areresponsible for symmetry breaking, robustness, pattern formation, self-assembly, and other cell-level phenomena.

Class: 
Scientific
Subject: 
Mathematics
Mathematical Biology

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