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

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

Steve Baigent, University College London
GapNet - combining mathematical modelling and experiment to explore the role of gap junctions in Xenopus development
(with Anne Warner)

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

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

Robert Dillon, Washington State University
Modelling biofilm processes with the immersed boundary method

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

Thomas Hoefer, Humboldt University Berlin
Calcium waves and oscillations in networks of glial cells

Pauline Hogeweg, Utrecht University
Long range and multi process coordination in a two scale cellular automata model of cells

Mel Holmes, University of Leeds
A mathematical model of tumour angiogenesis incorporating cellular traction and visco-elastic effects

Hilary Lappin-Scott, Exeter University
The biology and structure of biofilms

David Lewis, University of Cambridge
Predation in a turbulent environment

Julian Lewis, Vertebrate Development Laboratory, ICRF
Delta-Notch signalling: the ultimate discontinuity generator

Philip Maini, Mathematical Institute, Oxford
Cellular responses to multiple signalling cues: applications to embryology and wound healing

Stan Maree, University of Utrecht
Slug motion and tactic orientation in a cell-oriented model of Dictyostelium discoideum

Hans Othmer, University of Utah
Signal transduction and motor control in bacteria: microscopic models and macroscopic behaviour

David Rand, University of Warwick
From spatial individuals and populations to correlation equations

Jem Rashbass, Cambridge University Clinical School
In silico experimental systems for cell biologists

Pej Rohani, University of Cambridge
Comparative spatial dynamics of childhood infections

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)

Brian Sleeman, University of Leeds
Mathematical modelling of the onset of capillary formation initiating angiogenesis

Angela Stevens, Universitaet Heidelberg
When population size tends to infinity

Anne Warner, University College London
GapNet - combining mathematical modelling and experiment to explore the role of gap junctions in Xenopus development
(with Steve Baigent)

Helen Wearing, Heriot Watt University
Pattern formation by juxtacrine induction
(with Jonathan Sherratt)

Cornelis Weijer, University of Dundee
The control of cell movement during Dictyostelium morphogenesis

Julian Wimpenny
Discrete modelling of microbial aggregates


[These pages last updated 16th March 1999]