Jasmine Foo

Stochastic evolutionary models of cancer, mathematical and systems biology, uncertainty quantification, stochastic spectral methods, numerical PDEs, computational mechanics, scientific computing.

• Development, analysis and application of numerical methods for partial differential equations with stochastic parameters or forcing. Applications that I have studied include modeling the effects of uncertain material properties and loading on 3D elastic structures and the effect of uncertain initial conditions and reaction rates in systems biology.
• Numerical studies of fluid flow past rigid cylinders subject to vortex-induced vibrations (VIV) at low mass-damping parameter. Specific considerations include vortex mode selection in the wake, correlation length and force phasing.
• Development and implementation of a hybrid particle/continuum method for Burgers' equation with a stochastic forcing term. This algorithm couples an asymmetric excluded random walk model with a viscous Burgers' equation that represents the mean field approximation to the dynamics. (summer work at LBNL)

• Foo, J. and Karniadakis, G. `Multi-Element Probabilistic Collocation in High Dimensions,' (in press, Journal of Computational Physics, 2009).


• Foo, J. and Michor, F. `Evolution of resistance to targeted anti-cancer therapies during general dosing schedules,' (in revision, Journal of Theoretical Biology, 2009).


• Foo, J. and Michor, F. `Evolution of resistance to targeted anti-cancer therapies during continuous and pulsed administration strategies,' (in press, PLoS Computational Biology, 2009).


• Foo, J., Drummond, M., Clarkson, B., Holyoake, T., and Michor, F. `Eradication of Chronic Myeloid Leukemia Stem Cells: A Novel Mathematical Model Predicts No Therapeutic Benefit of Adding G-CSF to Imatinib,' (in press, PLoS Computational Biology, 2009).


• Foo, J., Sindi, S., and Karniadakis, G. `Using the Multi-Element Probabilistic Collocation Method for Sensitivity Analysis in Cellular Signaling Networks.' Systems Biology (2009) Vol 3(4):239-254.


• Foo, J., Wan, X., Karniadakis, G. `A Multi-Element Probabilistic Collocation Method for PDEs with Parametric Uncertainty: Error Analysis and Applications' Journal of Computational Phyiscs (2008) Vol 227: 9572-9595


• Foo, J., Yosibash, Z., Karniadakis, G. `Stochastic Simulation of Riser-Sections with Uncertain Measured Pressure Loads and/or Uncertain Material Properties.' Computer Methods in Applied Mechanics and Engineering (2007) Vol 196: 4250-4271.


• Bell, J., Foo, J., and Garcia, A. `Algorithm Refinement for the Stochastic Burgers Equation.' Journal of Computational Physics (2007) Vol 223 : 451-468.


• Lucor, D., Foo, J., and Karniadakis, G. `Vortex mode selection of a rigid cylinder subject to VIV at low mass-damping.' Journal of Fluids and Structures (2005) Vol 20: 485-503.


• Lucor, D., Foo, J., and Karniadakis, G. `Correlation Length and Force Phasing of a Rigid Cylinder Subject to VIV of Fully Coupled Fluid Structure Interactions.' in Fluid Mechanics and its Applications (2004) Vol 75 : 187-199.

Curriculum Vitae