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

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Teaching

Fall 2019	Math 128A
Spring 2019	Math 228C
Winter 2019	Math 228B
Fall 2018	Math 17A
Spring 2018	Math 207C

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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

• S. Granzier-Nakajima, R.D. Guy, C. Zhang-Molina
  A Numerical Study of Metachronal Propulsion at Low to Intermediate Reynolds Numbers,
  Fluids, Vol 5, no. 2: 86 (2020). pdf
  


• B. Thomases and R.D. Guy, "Polymer stress growth in viscoelastic fluids in oscillating extensional flows with applications to micro-organism locomotion", J. Non-Newtonian Fluid Mech., 269, (2019): 47-56.


• D. Stein, R.D. Guy, and B. Thomases, "Convergent solutions of Stokes Oldroyd-B boundary value problems using the Immersed Boundary Smooth Extension (IBSE) method", J. Non-Newtonian Fluid Mech., 268, (2019): pp. 56-65.


• C. Li, B. Thomases, R.D. Guy, "Orientation dependent elastic stress concentration at tips of slender objects translating in viscoelastic fluids", Physical Review Fluids 4, 031301(R), (2019).


• C.A. Copos and R.D. Guy,
  A porous viscoelastic model for the cell cytoskeleton,
  ANZIAM Journal, Vol. 59, 472-498 (2018). pdf
  


• N.N. Nargis, R.C. Aldredge, R.D. Guy,
  The influence of soluble fragments of extracellular matrix (ECM) on tumor growth and morphology,
  Mathematical Biosciences, Vol. 296, 1-16 (2018). pdf
  


• C. Li, B. Qin, A. Gopinath, P.E. Arratia, B. Thomases, and R.D. Guy,
  The role of body flexibility in stroke enhancements for finite-length undulatory swimmers in viscoelastic fluids,
  Journal of the Royal Society Interface, Vol. 14, (2017). pdf
  


• B. Thomases and R.D. Guy,
  The role of body flexibility in stroke enhancements for finite-length undulatory swimmers in viscoelastic fluids,
  Journal of Fluid Mechanics, Vol. 825, 109-132 (2017). pdf
  


• O.L. Lewis and R.D. Guy,
  Analysis of Peristaltic Waves & their Role in Migrating Physarum Plasmodia,
  Journal of Physics D: Applied Physics, Vol. 50, 284001 (2017). pdf
  


• S. Zhang, R.D. Guy, J.C. Lasheras, and J.C. del Alamo,
  Self-organized mechano-chemical dynamics in amoeboid locomotion of Physarum fragments,
  Journal of Physics D: Applied Physics, Vol. 50, 204004 (2017). pdf


• C.A. Copos, S. Walcott, J.C. del Alamo, E. Bastounis, A. Mogilner, and R.D. Guy,
  Mechanosensitive adhesion explains stepping motility in amoeboid cells,
  Biophysical Journal, Vol. 112, 2672-2682 (2017). pdf


• D.B. Stein, R.D. Guy, and B. Thomases,
  Immersed Boundary Smooth Extension (IBSE): A high-order method for solving incompressible flows in arbitrary smooth domains,
  Journal of Computational Physics , Vol. 335, 155-178 (2017).


• D.B. Stein, R.D. Guy, and B. Thomases,
  Immersed boundary smooth extension: A high-order method for solving PDE on arbitrary smooth domains using Fourier spectral methods,
  Journal of Computational Physics, Vol. 304, 252-274 (2016). pdf


• W. Strychalski and R.D. Guy,
  Intracellular Pressure Dynamics in Blebbing Cells,
  Biophysical Journal, Vol. 110, 1168-1179 (2016). pdf


• O.L. Lewis, S. Zhang, R.D. Guy, J.C. del Alamo,
  Coordination of Contractility, Adhesion and Flow in Migrating Physarum Amoebae,
  Journal of the Royal Society Interface, Vol. 12, (2015). pdf


• W. Strychalski, C.A. Copos, O.L. Lewis, R.D. Guy,
  A Poroelastic Immersed Boundary Method with Applications to Cell Biology,
  Journal of Computational Physics, Vol 282, 77–97 (2015). pdf
  


• R.D. Guy and B. Thomases,
  Computational challenges for simulating strongly elastic flows in biology,
  Complex Fluids in Biological Systems, 359-397 (2015). pdf


• C. Zhang, R.D. Guy, B. Mulloney, Q. Zhang, T.J. Lewis,
  The Neural Mechanism of Optimal Limb Coordination in Crustacean Swimming,
  PNAS, Vol 111, 13840–13845 (2014). pdf
  


• B. Thomases and R.D. Guy,
  Mechanisms of elastic enhancement and hindrance for finite length undulatory swimmers in viscoelastic fluids,
  Physical Review Letters, Vol 113, 098102 (2014). pdf


• O.L. Lewis, R.D. Guy, and J.F. Allard,
  Actin-myosin spatial patterns from a simplified isotropic viscoelastic model,
  Biophysical Journal, Vol 107, 863–870 (2014). pdf


• R.D. Guy, B. Philip, and B.E. Griffith ,
  Geometric multigrid for an implicit-time immersed boundary method,
  Advances in Computational Mathematics, Vol 41, 635-662 (2015). pdf
  


• Q. Zhang, R.D. Guy, B. Philip,
  A projection preconditioner for solving the implicit immersed boundary equations,
  Numerical Mathematics: Theory, Methods and Applications, Vol. 7, 473-498 (2014). pdf


• J. Du, R.D. Guy, A.L. Fogelson,
  An Immersed Boundary Method for Two-fluid Mixtures,
  Journal of Computational Physics, Vol 262, 231-243 (2014). pdf


• W. Strychalski and R.D. Guy,
  A Computational Model of Bleb Formation,
  Math. Med. Biol., Vol 30, 115-130 (2013). pdf


• J. Du, R.D. Guy, A.L. Fogelson, G.B. Wright, J.P. Keener,
  An interface-capturing regularization method for solving the equations for two-fluid mixtures,
  Communications in Computational Physics, Vol. 14, 1322-1346 (2013). pdf


• 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,
  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