Principal Organiser: Jonathan Sherratt (Heriot-Watt University)
Scientific Committee: Mark Chaplain (Dundee), Philip Maini
(Oxford) and Hans Othmer (Utah)
Biological cells are discrete objects, yet most mathematical models for cell populations neglect this discreteness and use continuum averages. Although such models have been highly successful at predicting a wide range of biological and medical phenomena, it is increasingly clear that in a number of biomedical contexts discrete cellularity plays a crucial role.
This four-day interdisciplinary workshop will bring together mathematicians and biologists to examine the various discrete modelling approaches now in use in cell biology, and their connection with more established continuum frameworks. The workshop will highlight the wide range of biological phenomena that depend on cellularity and will identify the key challenges for theoreticians in this exciting new area of mathematical biology.
Each of the four days will be organised around a specific area of application, namely: Bacterial Motion and Biofilms, Aggregation in Cellular Slime Moulds, Developmental Dynamics, and Applications of Micro-Scale Modelling.
Places on the workshop are limited and anyone interested in attending should contact Jonathan Sherratt at jas@ma.hw.ac.uk
Where abstracts are available they can be reached by clicking on the highlighted word under the title of the talk. The timetable of the workshop can be reached from here.
Sandy Anderson, University of Dundee
Mathematical modelling of tumour invasion and metastasis
Abstract
Steve Baigent, University College London
GapNet - combining mathematical modelling and experiment to explore
the role of gap junctions in Xenopus development
(with Anne Warner)
Abstract
Mark Chaplain, University of Dundee
Continuous and discrete mathematical models for tumour-induced
angiogenesis
Robert Clother, University of Leeds
A chemostat model with stochastic cellular growth rates
Abstract
John Dallon, Heriot-Watt University
1) Natural spiral formation in slime mould
Abstract
2) Discrete modelling in wound healing Abstract
Fordyce Davidson, University of Dundee
Modelling the large scale response of fungal mycelia to patchy
nutrient resources
Abstract
Robert Dillon, Washington State University
Modelling biofilm processes with the immersed boundary method
Abstract
Eamonn Gaffney
Modelling cell mitosis during corneal epithelial wound healing and
juxtacrine signalling
Shea Gardner, NERC Center for Population Biology, Imperial
college at Silverwood Park
How does the method of drug application and pharmacokinetics
affect cell kill and resistance evolution in tumors
Abstract
Thomas Hoefer, Humboldt University Berlin
Calcium waves and oscillations in networks of glial cells
Abstract
Pauline Hogeweg, Utrecht University
Long range and multi process coordination in a two scale cellular
automata model of cells
Abstract
Mel Holmes, University of Leeds
A mathematical model of tumour angiogenesis incorporating cellular
traction and visco-elastic effects
Abstract
Hilary Lappin-Scott, Exeter University
The biology and structure of biofilms
David Lewis, University of Cambridge
Predation in a turbulent environment
Abstract
Julian Lewis, Vertebrate Development Laboratory, ICRF
Delta-Notch signalling: the ultimate discontinuity generator
Abstract
Philip Maini, Mathematical Institute, Oxford
Cellular responses to multiple signalling cues: applications to
embryology and wound healing
Abstract
Stan Maree, University of Utrecht
Slug motion and tactic orientation in a cell-oriented model of
Dictyostelium discoideum
Abstract
Hans Othmer, University of Utah
Signal transduction and motor control in bacteria: microscopic models
and macroscopic behaviour
Abstract
David Rand, University of Warwick
From spatial individuals and populations to correlation equations
Abstract
Jem Rashbass, Cambridge University Clinical School
In silico experimental systems for cell biologists
Abstract
Pej Rohani, University of Cambridge
Comparative spatial dynamics of childhood infections
Abstract
Nick Savill
Discrete interactions in a continuous model: multiple scales in
eco-evolutionary systems
Jonathan Sherratt, Heriot Watt University
Pattern formation by juxtacrine induction
(with Helen Wearing)
Abstract
Brian Sleeman, University of Leeds
Mathematical modelling of the onset of capillary formation
initiating angiogenesis
Abstract
Angela Stevens, Universitaet Heidelberg
When population size tends to infinity
Abstract
Anne Warner, University College London
GapNet - combining mathematical modelling and experiment to explore
the role of gap junctions in Xenopus development
(with Steve Baigent)
Abstract
Helen Wearing, Heriot Watt University
Pattern formation by juxtacrine induction
(with Jonathan Sherratt)
Abstract
Cornelis Weijer, University of Dundee
The control of cell movement during Dictyostelium morphogenesis
Julian Wimpenny
Discrete modelling of microbial aggregates
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[These pages last updated 16th March 1999]