Mathematical Biology

The effect of vaccination on influenza’s rate of antigenic drift

Speaker: 
Katia Koelle
Date: 
Thu, Jan 17, 2013
Location: 
PIMS, University of British Columbia
Conference: 
Disease Dynamics 2013
Abstract: 

The effect of vaccination on influenza’s rate of antigenic drif

Class: 
Scientific
Subject: 
Mathematics
Mathematical Biology

Optimizing Influenza Vaccine Allocation

Speaker: 
Jan Medlock
Date: 
Thu, Jan 17, 2013
Location: 
PIMS, University of British Columbia
Conference: 
Disease Dynamics 2013
Abstract: 

Optimizing Influenza Vaccine Allocation

Class: 
Scientific
Subject: 
Mathematics
Mathematical Biology

Mathematical Modeling: The View from Public Health Practice

Speaker: 
David Patrick
Date: 
Thu, Jan 17, 2013
Location: 
PIMS, University of British Columbia
Conference: 
Disease Dynamics 2013
Abstract: 

Mathematical Modeling: The View from Public Health Practice

Class: 
Scientific
Subject: 
Mathematics
Mathematical Biology

Disease Dynamics 2013 (Photos)

Conference: 
Disease Dynamics 2013
Date: 
Fri, Jan 18, 2013
Class: 
Scientific
Subject: 
Mathematical Biology

Alan Turing and the Patterns of Life

Speaker: 
Przemysław Prusinkiewicz
Date: 
Tue, Oct 9, 2012 to Wed, Oct 10, 2012
Location: 
PIMS, University of Calgary
Conference: 
Alan Turing Year
Abstract: 

In 1952, Turing published his only paper spanning chemistry and biology: "The chemical basis of morphogenesis". In it, he proposed a hypothetical mechanism for the emergence of complex patterns in chemical reactions, called reaction-diffusion. He also predicted the use of computational models as a tool for understanding patterning. Sixty years later, reaction-diffusion is a key concept in the study of patterns and forms in nature. In particular, it provides a link between molecular genetics and developmental biology. The presentation will review the concept of reaction-diffusion, the tumultuous path towards its acceptance, and its current place in biology.

Class: 
Scientific
Subject: 
Mathematics
Mathematical Biology

2012 IGTC Summit: Prof. Steve Krone (Part II)

Author: 
Prof. Steve Krone
Date: 
Sun, Oct 14, 2012
Location: 
Naramata Centre
Abstract: 

Spontaneous pattern formation in spatial populations with cyclic dynamics

There are many examples in nature where a system goes through a succession of states that are cyclically related. Examples include ecological succession in a forest and SIRS models of epidemics. When such populations are spatially arranged (as are *all* populations to some degree), these cyclic dynamics can sometimes lead to the spontaneous formation of spatial patterns such as spiral waves. We will explore this phenomenon via interacting particle system models and related differential equations.

Notes: 
PDF icon krone_Naramata_cyclic_2012.pdf
Class: 
Scientific
Subject: 
Mathematics
Mathematical Biology

2012 IGTC Summit: Prof. Steve Krone (Part I)

Author: 
Prof. Steve Krone
Date: 
Sat, Oct 13, 2012
Location: 
Naramata Centre
Abstract: 

Individual-based stochastic spatial models and population biology

These talks will provide an introduction to individual-based stochastic spatial models (sometimes called interacting particle systems or stochastic cellular automata). We will proceed from very simple basic models to more elaborate ones, illustrating the ideas with examples of spatial biological population dynamics. We will compare these models and results with analogous differential equations (ODE and PDE) and see how they are connected. Biological topics will include spatial population growth and spread, epidemics, evolution of pathogens, and antibiotic resistance plasmids. Throughout, we will point out situations in which spatial structure can dramatically influence the ecology and evolution of populations.

Notes: 
PDF icon krone_Naramata_symp_Oct2012.pdf
Class: 
Scientific
Subject: 
Mathematics
Mathematical Biology

IGTC 2012 Math Bio Summit

2012 IGTC Summit in Naramata
Lecture notes from Prof. Krone are available at http://www.mathtube.org/date/lecture_notes/2012.

Conference: 
IGTC 2012 Summit
Date: 
Fri, Oct 12, 2012
Class: 
Scientific
Subject: 
Mathematics
Mathematical Biology

Mathematical Cell Biology Summer Course Student Lecture 11

Speaker: 
Hildur Knutsdottir
Date: 
Fri, May 18, 2012
Location: 
PIMS, University of British Columbia
Conference: 
Mathematical Cell Biology Summer Course
Abstract: 

Cell-cell signaling between macrophages and mammary tumor cells

Class: 
Scientific
Subject: 
Mathematics
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: 
Scientific
Subject: 
Mathematics
Mathematical Biology

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