From Single Cells to Continua:

Micro-scale to Macro-scale Modelling

A Workshop to be held at ICMS, Edinburgh, 22-25 March 1999

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

Participants, Abstracts and Timetable

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]