Dr Christian Yates
Below is a brief list of my current research interests. If you are interested in any of these areas and would like to collaborate or are interested in pursuing a D.Phil. (Ph.D.) with me in Oxford then please email me on email@example.com
I work in collaboration with experimentalists in Edinburgh on a gene called Kit! Mutations in Kit can cause slower migration of melanocyte neural crest cells leading to non-pigmented areas of skin.
I work on linking two different modelling paradigms (discrete stochastic and deterministic continuum) for cell migration and exploiting their complementary advantages when modelling a biological system.
Stochastic simulation methodologies
With a variety of collaborators and DPhil students I work on the development of efficient stochastic simulation
algorithms. In part I work on developing general methodologies for stochastic simulation
(Multi-level for continuous time Markov processes, recycling random numbers in the SSA, avoiding negative populations
in tau-leaping). I also work on the development of simulation algorithms specifically designed to speed up the
simulation of spatially extended systems (hybrid methods, adaptive mesh refinement for position-jump processes).
Sleeping sickness In collaboration with experimentalists from Nottingham and Oxford I work on modelling the methods by which the causative parasites in the disease sleeping sickness are able to effectively evade the immune system.
Nematode dynamics I model the interaction dynamics between migrating nematode worms and more sedentary bacteria which act as food for the worms. We use cellular automaton/PDE hybrid models informed by experimental data.
The evolution of pleitropy I model the potential for the evolution of pleitropy as a mechanism by which cheating is regulated in bacterial communities. We use experimental data to inform our stochastic evolution models.
Collective motion I model the collective migration of locusts (and other animal) swarms using self-propelled particle models.In collaboration with scientists in Slovakia I have also started modelling decision making in ants.
Egg patterning In collaboration with experimental biologists in Harvard and Yale I contrive computer models which are able to investigate the possible mechanisms by which egg patterns form.
Cell Tracking Tracking free-swimming bacteria under the microscope is a highly non-trivial problem. In collaboration with biochemists and mathematicians I have helped to develop a tracking algorithm which is capable of achieving this task very efficiently. We currently have a patent pending on the method.