Mathematical modelling of tumour acidity (2008)
Smallbone, K., Gatenby, R.A., Maini, P.K.
Acid-mediated tumour invasion is receiving increasing experimental and clinical attention. Previous models proposed to describe this phenomenon failed to capture key properties of the system, such as...
Mathematical modelling of tumour acidity (2008)
Smallbone, K, Gatenby, R A, Maini, P K
Acid-mediated tumour invasion is receiving increasing experimental and clinical attention. Previous models proposed to describe this phenomenon failed to capture key properties of the system, such as...
Mathematical modelling of tumour acidity (2008)
Smallbone, K., Gatenby, R. A., Maini, P. K.
Acid-mediated tumour invasion is receiving increasing experimental and clinical attention. Previous models proposed to describe this phenomenon failed to capture key properties of the system, such as...
Metabolic changes during carcinogenesis: Potential impact on invasiveness (2007)
Smallbone, K, Gatenby, R A, Gillies, R J, Maini, P K, Gavaghan, D J
Successful adaptation to varying microenvironmental constraints plays a crucial role during carcinogenesis. We develop a hybrid cellular automation approach to investigate the...
Cellular adaptations to hypoxia and acidosis during somatic evolution of breast cancer (2007)
Gatenby, R A, Smallbone, K, Maini, P K, Rose, F, Averill, J, Nagle, R B, ...
Conceptual models of carcinogenesis typically consist of an evolutionary sequence of heritable changes in genes controlling proliferation, apoptosis, and senescence. We propose that these steps are...
Metabolic changes during carcinogenesis: Potential impact on invasiveness (2007)
Smallbone, K., Gatenby, R. A., Gillies, R. J., Maini, P. K., Gavaghan, D. J.
Successful adaptation to varying microenvironmental constraints plays a crucial role during carcinogenesis. We develop a hybrid cellular automation approach to investigate the...
Cellular adaptations to hypoxia and acidosis during somatic evolution of breast cancer (2007)
Gatenby, R. A., Smallbone, K., Maini, P. K., Rose, F., Averill, J., Nagle, R. B., ...
Conceptual models of carcinogenesis typically consist of an evolutionary sequence of heritable changes in genes controlling proliferation, apoptosis, and senescence. We propose that these steps are...
The role of acidity in solid tumour growth and invasion (2005)
Smallbone, K, Gavaghan, D J, Gatenby, R A, Maini, P K
Acidic pH is a common characteristic of human tumours. It has a significant impact on tumour progression and response to therapies. In this paper, we develop a simple model of three-dimensional...
The role of acidity in solid tumour growth and invasion (2005)
Smallbone, K., Gavaghan, D. J., Gatenby, R. A., Maini, P. K.
Acidic pH is a common characteristic of human tumours. It has a significant impact on tumour progression and response to therapies. In this paper, we develop a simple model of three-dimensional...
Gatenby, R A, Maini, P K, Gawlinski, E T
We use a novel “inverse problem” technique to construct a basic mathematical model of the interacting populations at the tumor-host interface. This approach assumes that invasive cancer is a...
Gatenby, R. A., Maini, P. K., Gawlinski, E. T.
We use a novel “inverse problem” technique to construct a basic mathematical model of the interacting populations at the tumor-host interface. This approach assumes that invasive cancer is a...
Cellular adaptations to hypoxia and acidosis during somatic evolution of breast cancer
Gatenby, R A, Smallbone, K, Maini, P K, Rose, F, Averill, J, Nagle, R B, ...
Conceptual models of carcinogenesis typically consist of an evolutionary sequence of heritable changes in genes controlling proliferation, apoptosis, and senescence. We propose that these steps are...