Mathematical Biology

The final project consists of choosing a paper, writing an essay about it and giving a presentation to us all on it. Below you find a list of possible choices. You are free to choose a paper or topic yourself. If you have something specific in mind, or would like us to look for a paper on a subject you are particularly interested in, let us know and we will try to find a paper for you.

Papers to choose from for your final project

Culshaw et al. A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay. J. Math. Biol. 2003. CHOSEN
Marciniak. Receptor-based models with hysteresis for pattern formation in hydra. Math. Biosc. 2006
Mirollo and Strogatz. Synchronization of pulse-coupled biological oscillators. SIAM J. Appl. Math. 1990CHOSEN
Othmer and Stevens. Aggregation, blow-up and collapse: the ABC's of taxis in reinforced random walks. SIAM J. Appl. Math. 1997.CHOSEN
Schreiber and Tobiason The evolution of resource use. J. Math. Biol. 2003 CHOSEN
Geritz. Resident-invader dynamics and the coexistence of similar strategies. J. Math. Biol. 2005.
Grünbaum. Advection-diffusion equations for internal state-mediated random walks. SIAM J. Appl. Math. 2000.
Drobnjak et al. Oscillations in a maturation model of blood cell production. SIAM. J. Appl. Math. 2006. CHOSEN
Boldin and Diekmann. Superinfections can induce evolutionarily stable oexistence of pathogens. J. Math. Biol. 2008. CHOSEN
Heinrich et al. Mathematical analysis of enzymic reaction systems using optimization principles. Eu. J. Biochem. 2005.
Umulis et al. Robustness of Embryonic Spatial Patterning in Drosophila melanogaster. Book chapter (long!).
Boettiger et al. The neural origins of shell structure and pattern in aquatic mollusks. PNAS. 2009 and the mathematical appendix CHOSEN.
Berestycki et al. Can a species keep pace with climate change? Bull. Math. Biol. 2009. CHOSEN
Pachepsky et al. Persistence, spread and the drift paradox. Theor. Pop. Biol. 2005. CHOSEN
Enciso and Sontag. On the stability of a model of testosterone dynamics. J. Math. Biol. 2004.CHOSEN
Trapman and Bootsma. A useful relationship between epidemiology and queueing theory: The distribution of the number of infectives at the moment of the first detection. Math. Biosciences 2009. CHOSEN
Watmough and Edelstein-Keshet. A one-dimensional model of trail propagation by army ants. J. Math. Biol. 1995 CHOSEN.
Metz et al. The dynamics of invasion waves. Bookchapter from The Geometry of Ecological Interactions: Simplifying Spatial Complexity. 2000. CHOSEN
Heinrich and Rapoport. A linear steady-state treatment of enzymatic chains. Eur. J. of Biochem. 1973.