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- Publications
- Influence

A mathematical model of glioma growth: the effect of chemotherapy on spatio‐temporal growth

- P. Tracqui, G. Cruywagen, D. E. Woodward, G. Bartoo, J. D. Murray, E. Alvord
- Biology, Medicine
- Cell proliferation
- 1 January 1995

During the past two decades computerized tomography (CT) and magnetic resonance imaging (MRI) have permitted the detection of tumours at much earlier stages in their development than was previously… Expand

A mathematical model of glioma growth: the effect of extent of surgical resection

- D. E. Woodward, J. Cook, P. Tracqui, G. Cruywagen, J. D. Murray, E. Alvord
- Biology, Medicine
- Cell proliferation
- 1 June 1996

Abstract. We have developed a mathematical model based on proliferation and infiltration of neoplastic cells that allows predictions to be made concerning the life expectancies following various… Expand

THE MODELLING OF DIFFUSIVE TUMOURS

- G. C. Cruywagen, D. E. Woodward, P. Tracqui, G. T. Bartoo, J. D. Murray, E. Alvord
- Biology
- 1 December 1995

The mathematical modelling of diffusive tumours is investigated. We argue that diffusive tumours can be modelled by adding diffusion to simple multipopulation solid tumour models, such as the… Expand

On the effect of temperature-dependent sex determination on sex ratio and survivorship in crocodilians

- D. E. Woodward, J. D. Murray
- Biology
- Proceedings of the Royal Society of London…
- 22 May 1993

The sex ratio of alligators and crocodiles is strongly biased towards females, often as high as 10 females to 1 male. Skewed sex ratios (that is, ratios other than 1:1) are commonly found in species… Expand

A MECHANICAL MODEL FOR FIBROBLAST-DRIVEN WOUND HEALING

- P. Tracqui, D. E. Woodward, G. C. Cruywagen, J. Cook, J. D. Murray
- Biology
- 1 December 1995

We present a mathematical model for the contraction and relaxation phases of healing dermal wounds based upon the extracellular control of the traction forces exerted by the migrating fibroblastic… Expand

Estimation of variable coefficients in the Fokker-Planck equations using moving node finite elements

- H. T. Banks, H. Tran, D. E. Woodward
- Mathematics
- 1 December 1993

Inverse problems are considered for the estimation of temporally and spatially varying coefficients in the Fokker–Planck or forward Kolmogorov equation that often arise in size/age structured… Expand

DIMENSIONLESS UNIT HYDROGRAPH FOR THE DELMARVA PENINSULA

- P. I. Welle, D. E. Woodward
- Engineering
- 1989

The Soil Conservation Service uses a dimensionless unit hydrograph to develop storm hydrographs for hydrologic evaluation of small watersheds and for hydrologic design of conservation measures. An… Expand

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The portable parallel implementation of two novel mathematical biology algorithms in ZPL

- M. Dikaiakos, Daphne Manoussaki, C. Lin, D. E. Woodward
- Computer Science
- ICS '95
- 3 July 1995

This paper shows that mathematical models of biological pattern formation are ideally suited to data parallelism. We present two new algorithms, one for simulating the dynamic structure of… Expand

Synthesis of phase-locking patterns in networks with cyclic group symmetries

- D. E. Woodward
- Mathematics
- 1 June 1990

A theoretical model for the circular arrays of neurons that are found in cortical barrel structures is presented. If the connection stencil is permutation invariant, then the network has cyclic group… Expand

Optimal pricing, use and exploration of uncertain natural resources

- P. Hagan, D. E. Woodward, R. Caflisch, J. B. Keller
- Economics
- 1 September 1994

We consider Arrow's model for an economy engaged in consuming a randomly distributed natural resource, and in exploring previously unexplored land to find more of the resource. After modifying the… Expand