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- Publications
- Influence

Pattern formation by lateral inhibition with feedback: a mathematical model of delta-notch intercellular signalling.

- J. Collier, N. Monk, P. Maini, J. Lewis
- Medicine, Biology
- Journal of theoretical biology
- 1 December 1996

In many developing tissues, adjacent cells diverge in character so as to create a fine-grained pattern of cells in contrasting states of differentiation. It has been proposed that such patterns can… Expand

Cyclic dermal BMP signalling regulates stem cell activation during hair regeneration

- Maksim V. Plikus, J. A. Mayer, +4 authors C. Chuong
- Medicine, Biology
- Nature
- 17 January 2008

In the age of stem cell engineering it is critical to understand how stem cell activity is regulated during regeneration. Hairs are mini-organs that undergo cyclic regeneration throughout adult life,… Expand

A cellular automaton model for tumour growth in inhomogeneous environment.

- T. Alarcón, H. Byrne, P. Maini
- Medicine, Biology
- Journal of theoretical biology
- 21 November 2003

Most of the existing mathematical models for tumour growth and tumour-induced angiogenesis neglect blood flow. This is an important factor on which both nutrient and metabolite supply depend. In this… Expand

Mathematical Models of Avascular Tumor Growth

- T. Roose, S. Chapman, P. Maini
- Computer Science, Mathematics
- SIAM Review
- 1 April 2007

This review will outline a number of illustrative mathematical models describing the growth of avascular tumors. The aim of the review is to provide a relatively comprehensive list of existing models… Expand

Inherent noise can facilitate coherence in collective swarm motion

- C. Yates, R. Erban, +5 authors D. Sumpter
- Medicine, Biology
- Proceedings of the National Academy of Sciences
- 7 April 2009

Among the most striking aspects of the movement of many animal groups are their sudden coherent changes in direction. Recent observations of locusts and starlings have shown that this directional… Expand

On the spatial spread of the grey squirrel in Britain

- A. Okubo, P. Maini, M. H. Williamson, J. D. Murray
- Biology, Medicine
- Proceedings of the Royal Society of London. B…
- 22 November 1989

We present a diffusion–competition model to describe the interaction between the externally introduced grey squirrel and the indigenous red squirrel in Britain. We estimate the model parameters from… Expand

Chaste: A test-driven approach to software development for biological modelling

- J. Pitt-Francis, P. Pathmanathan, +16 authors D. Gavaghan
- Computer Science
- Comput. Phys. Commun.
- 1 December 2009

Chaste (‘Cancer, heart and soft-tissue environment’) is a software library and a set of test suites for computational simulations in the domain of biology. Current functionality has arisen from… Expand

Reaction and diffusion on growing domains: Scenarios for robust pattern formation

- E. Crampin, E. Gaffney, P. Maini
- Medicine, Mathematics
- Bulletin of mathematical biology
- 1 October 1999

We investigate the sequence of patterns generated by a reaction—diffusion system on a growing domain. We derive a general evolution equation to incorporate domain growth in reaction—diffusion models… Expand

Traveling wave model to interpret a wound-healing cell migration assay for human peritoneal mesothelial cells.

- P. Maini, D. McElwain, D. Leavesley
- Biology, Medicine
- Tissue engineering
- 9 July 2004

The critical determinants of the speed of an invading cell front are not well known. We performed a "wound-healing" experiment that quantifies the migration of human peritoneal mesothelial cells over… Expand

Enzyme kinetics at high enzyme concentration

- S. Schnell, P. Maini
- Mathematics, Medicine
- Bulletin of mathematical biology
- 1 May 2000

We re-visit previous analyses of the classical Michaelis-Menten substrate-enzyme reaction and, with the aid of the reverse quasi-steady-state assumption, we challenge the approximation d[C]/dt ≈ 0… Expand