Here are some interesting papers to look at for project ideas:
J.J. Blum and
M.C. Reed, A Model for Fast Axonal Transport
S. Coombs,The Effect of Ion Pumps
on the Speed of Travelling Waves in the Fire-Diffuse-Fire Model
of Calcium Release
Leah Edelstein-Keshet and G. Bard
Ermentrout, Models for Spatial Polymerization Dynamics of
Rod-like Polymers
Leah Edelstein, The Propagation
of Fungal Colonies: A Model for Tissue Growth
J.D. Dockery and J.P. Keener, A
Mathematical Model for Quorum Sensing in Pseudoomonas aeruginosa
S.R. McDougall et al.,
Mathematical Modelling of Flow through Vascular Networks:
Implications for Tumour-induced Angiogenesis and Chemotherapy
Strategies
A. Gallegos, B. Mazzag,
and A. Mogilner, Two Continuum Models for the Spreading of
Myxobacteria Swarms
J. Geilen and S. Kranenbarg,
Oxygen Balance for Small Organisms: an Analytical Model