This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.

Search for Publication

Year(s) from:  to 
Keywords (separated by spaces):

A computational framework for modelling solid tumour growth

Bryn A. Lloyd, Dominik Szczerba, Markus Rudin and Gábor Székely
Philosophical Transactions of the Royal Society A
Vol. 366, No. 1879, pp. 3301-3318, September 2008


The biology of cancer is a complex interplay of many underlying processes, taking place at different scales both in space and time. A variety of theoretical models have been developed, which enable to study certain components of the cancerous growth process. However,most previous approaches only focus on specific aspects of tumour development, largely ignoring the influence of the evolving tumour environment. In this paper we present an integrative framework to simulate tumour growth, including those model components, which are considered to be of major importance. We start by addressing issues at the tissue level, where the phenomena are modelled as continuum partial differential equations. We extend this model with relevant components at the cellular or even sub-cellular level in a vertical fashion.We present an implementation of this framework, covering the major processes and treat the mechanical deformation due to growth, the biochemical response to hypoxia, blood flow, oxygenation and the explicit development of a vascular system in a coupled way. The results demonstrate the feasibility of the approach and its applicability to in silico studies of the influence of different treatment strategies (like the usage of novel anti-cancer drugs) for more effective therapy design.

Link to publisher's page
Download in pdf format
  author = {Bryn A. Lloyd and Dominik Szczerba and Markus Rudin and Gábor Székely},
  title = {A computational framework for modelling solid tumour growth},
  journal = {Philosophical Transactions of the Royal Society A},
  year = {2008},
  month = {September},
  pages = {3301-3318},
  volume = {366},
  number = {1879},
  keywords = {tumour growth, angiogenesis, oxygen transport, mathematical model, simulation}