## Detail Information

### Publications

- Examples of mathematical modeling: tales from the cryptMatthew D Johnston

Centre for Mathematical Biology, Mathematical Institute, University of Oxford, Oxford, UK*Cell Cycle*6:2106-12. 2007..We use the model to argue why tumorigenesis is observed to occur in stages with long lag phases between periods of rapid growth, and we identify the key parameters... - Mathematical modeling of cell population dynamics in the colonic crypt and in colorectal cancerMatthew D Johnston

Centre for Mathematical Biology, Mathematical Institute, University of Oxford, 24 29 St Giles, Oxford OX1 3LB, United Kingdom*Proc Natl Acad Sci U S A*104:4008-13. 2007..The second model can be used to explain the long lag phases in tumor growth, during which new, higher equilibria are reached, before unlimited growth in cell numbers ensues... - On the proportion of cancer stem cells in a tumourMatthew D Johnston

Centre for Mathematical Biology, Mathematical Institute, University of Oxford, 24 29 St Giles, Oxford OX1 3LB, UK*J Theor Biol*266:708-11. 2010..We show that CSCs may comprise any possible proportion of the tumour, and that the higher the proportion the more aggressive the tumour is likely to be...