Bob Guy Associate Professor Mathematics Department University of California Davis 530-754-9201

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Teaching

Fall 2011	Math 221A
Spring 2011	Math 228C
Winter 2011	Math 228B
Fall 2010	Math 228A

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Research
My research interests include:

• Mathematical Biology
• Mathematical Modeling
• Newtonian and non-Newtonian Fluid Mechanics
• Scientific Computation and Numerical Analysis

    Publications

• J. Du, J.P. Keener, R.D. Guy, and A.L. Fogelson, "Low Reynolds number swimming in viscous two-phase fluids", Physical Review E, Vol 85, 036304 (2012). pdf
• W. Strychalski and R.D. Guy, "A Computational Model of Bleb Formation", To Appear in Math. Med. Biol. pdf
• W. Strychalski and R.D. Guy, "Viscoelastic Immersed Boundary Methods for Zero Reynolds Number Flow", Communications in Computational Physics, Vol 12, 462-478 (2012). pdf
  
• R.D. Guy and B. Philip, "A multigrid method for a model of the implicit immersed boundary equations", Communications in Computational Physics, Vol 12, 378-400 (2012). pdf
  
• G.B. Wright, R.D. Guy, J. Du, A.L. Fogelson, "A high-resolution finite-difference method for simulating two-fluid, viscoelastic gel dynamics", Journal of Non-Newtonian Fluid Mechanics, Vol. 166, 1137-1157 (2011). pdf
• R.D. Guy, T. Nakagaki, and G.B. Wright, "Flow-induced channel formation in the cytoplasm of motile cells", Physical Review E, Vol. 84, 016310 (2011) . pdf
• N.G. Cogan and R.D. Guy, "Multiphase flow models of biogels from crawling cells to bacterial biofilms", HFSP J., Vol. 4, 11-25 (2010). pdf
• R.D. Guy and D.A. Hartenstine, "On the accuracy of direct forcing immersed boundary methods with projection methods", J. Comput. Phys.,Vol. 229, 2479-2496 (2010) . pdf
• V. Camacho, R.D. Guy, and J. Jacobsen, "Traveling waves and shocks in a viscoelastic generalization of Burgers' equation", SIAM J. Appl. Math., Vol. 68, 1316-1332 (2008). pdf
• G.B. Wright, R.D. Guy, and A.L. Fogelson, "An efficient and robust method for simulating two-phase gel dynamics", SIAM J. Sci. Comput., Vol. 30, 2535-2565 (2008). pdf
• E.P. Newren, A.L. Fogelson, R.D. Guy, and R.M. Kirby, "A comparison of implicit solvers for the Immersed Boundary equations",  Comput. Methods Appl. Mech., Vol. 197, 2290-2304 (2008). pdf
• R.D. Guy and A.L. Fogelson, "A wave propagation algorithm for viscoelastic fluids with spatially and temporally varying properties", Comput. Methods Appl. Mech. Eng., Vol. 197, 2250-226 (2008). pdf
• A.L. Fogelson and R.D. Guy, "Immersed-Boundary-Motivated Models of Intravascular Platelet Aggregation",  Comput. Methods Appl. Mech. Eng., Vol. 197, 2250-2264 (2008). pdf
• T. Nakagaki and R.D. Guy, "Intelligent behaviors of amoeboid movement based on complex dynamics of soft matter", Soft Matter, Vol. 4, 57-67 (2008). pdf
• R.D. Guy, A.L. Fogelson, and J.P. Keener, "Fibrin formation in a shear flow", Math. Med. Biol., Vol. 24, 111-130 (2007). pdf
• E.P. Newren, A.L. Fogelson, R.D. Guy, and R.M. Kirby, "Unconditionally stable discretizations of the immersed boundary equations", J. Comput. Phys., Vol. 222,702-719 (2007). pdf
• R.D. Guy, "Asymptotic analysis of PTT type closures for transient network models", J. Non-Newton. Fluid Mech., Vol. 123, 223-235 (2005). pdf
• R.D. Guy and A.L. Fogelson, "Stability of approximate projection methods on cell-centered grids", J. Comput. Phys., Vol. 203, 517-538 (2005). pdf
• A.L. Fogelson and R.D. Guy, "Platelet-wall interactions in continuum models of platelet thrombosis: Formulation and numerical solution", Math. Med. Biol., Vol. 21, 293-334 (2004). pdf
• R.D. Guy and A.L. Fogelson, "Probabilistic modeling of platelet aggregation: Effects of activation time and receptor occupancy", J. Theor. Biol., Vol. 219, 33-53 (2002). pdf