Applications of mathematical analysis to tumour acidity modelling by Mcgillen, J, Martin, N, Robey, I, Gaffney, E, Maini, P

A simple mechanistic model of sprout spacing in tumour-associated angiogenesis. by Addison-Smith, B, McElwain, D, Maini, P

“…The model is based on corneal pocket experiments, and provides a mathematical analysis of the initial spacing of angiogenic sprouts.…”

A simple mechanistic model of sprout spacing in tumour-associated angiogenesis by Addison-Smith, B, McElwain, D, Maini, P

“…The model is based on corneal pocket experiments, and provides a mathematical analysis of the initial spacing of angiogenic sprouts.…”

Analysis of stationary droplets in a generic Turing reaction-diffusion system. by Woolley, T, Baker, R, Maini, P, Aragón, J, Barrio, R

“…We compare the results of our mathematical analysis with numerical simulations and show good agreement in the region where the assumptions hold.…”

A model of primitive streak initiation in the chick embryo by Page, K, Maini, P, Monk, N, Stern, C

“…A key component of the model is a travelling wave of inhibition. We present a mathematical analysis of the speed of such waves in both diffusive and juxtacrine relay systems. …”

Analysis of stationary droplets in a generic Turing reaction-diffusion system by Woolley, T, Baker, R, Maini, P, Aragón, J, Barrio, R

“…We compare the results of our mathematical analysis with numerical simulations and show good agreement in the region where the assumptions hold.…”

A model of primitive streak initiation in the chick embryo. by Page, K, Maini, P, Monk, N, Stern, C

“…A key component of the model is a travelling wave of inhibition. We present a mathematical analysis of the speed of such waves in both diffusive and juxtacrine relay systems. …”

The effect of sampling rate on observed statistics in a correlated random walk by Rosser, G, Fletcher, A, Maini, P, Baker, R

“…We employ stochastic simulations to study the effect of sampling on the distributions of apparent speeds and angle changes, and present novel mathematical analysis in the case of rapid sampling. Our investigation elucidates the complex nature of sampling effects for sampling intervals ranging over many orders of magnitude. …”