Multiscale modeling of cancer chemotherapy | Biomed Microdev review | Drug PK and effect | Modeling cytotoxicity | Modeling invasion | A movie of tumor growth |
Publications | Contact: Prof. Vittorio Cristini

FOR REVIEWERS:

Nonlinear three-dimensional simulation of solid tumor growth Discrete and Continuous Dynamical Systems B 2007

Three-Dimensional Diffuse-Interface Simulation of Multispecies Tumor Growth. Bulletin of Mathematical Biology, In Review Part I: Numerical Method. Part II: Investigation of Tumor Invasion.

Computer simulation of glioma growth and morphology. NeuroImage; In Press.

Cancer and Nanotechnology

  1. Nonlinear simulation of tumor growth. J. of Mathematical Biology 2003
  2. Nonlinear simulation of tumor necrosis, neo-vascularization and tissue invasion via an adaptive finite-element/level-set method. Bulletin of Mathematical Biology 2005
  3. Two-dimensional Chemotherapy Simulations Demonstrate Fundamental Transport and Tumor Response Limitations Involving Nanoparticles. Biomedical Microdevices 2004
  4. Nanotechnology in cancer drug therapy: a Biocomputational approach. Handbook of BioMEMS & Bio-Nanotechnology (2006), Vol. 1: Prospectus, Biological and Biomedical Nanotechnology. Eds: AP Lee, LJ Lee. (Springer-Verlag.)
  5. Morphological instability and cancer invasion. Clinical Cancer Research 2005.
  6. Mathematical and Computational Modeling: Towards the Development and Application of Nanodevices for Drug Delivery. In: Series: Nanotechnology for Life Scences 2006; Vol. 4:Biofunctionalization of Nanomaterials, ed: C Kumar; Wiley-VCH.
  7. Two-dimensional Chemotherapy Simulations Demonstrate Fundamental Transport and Tumor Response Limitations Involving Nanoparticles. J. of Clinical Oncology 2005
  8. An integrated experimental/computational model of tumor invasion. Cancer Research 2006.

  9. Mathematical Modeling of Cancer Progression and Response to Chemotherapy. Expert Review of Anticancer Therapy, 2006

    10. Biomedical (other)

  10. Analysis of cell growth in three-dimensional scaffolds. Tissue Eng 2005, In Press
  11. Computer Modeling of Red Blood Cell Rheology in the Microcirculation: A Brief Overview. Annals Biomed Eng 2005
  12. Semantic analysis and synthesis of complex biological systems. International Journal of Software Engineering and Knowledge Engineering 2005.

    13. Numerical Algorithms

  13. An adaptive mesh algorithm for evolving surfaces: simulations of drop breakup and coalescence. J Computational Phys 2001
  14. Adaptive unstructured volume remeshing-I: The method. J Computational Phys 2005
  15. Adaptive unstructured volume remeshing-II: Application to two- and three-dimensional level-set simulations of multiphase flow. J Computational Phys 2005
  16. An adaptive coupled level-set/volume-of-fluid interface capturing method for unstructured triangular grids. J Computational Phys 2005

    17. Microfluidics

  17. Theory and numerical simulation of droplet dynamics in complex flows-a review. Lab Chip 2004
  18. Design of microfluidic channel geometries for the control of droplet volume, chemical concentration, and sorting. Lab Chip 2004
  19. Monodispersed microfluidic droplet generation by shear focusing microfluidic device. Sensors and Actuators B: Chemical 2005, In Press .

    20. Multiphase flow and Complex fluids

  20. Drop breakup in three-dimensional viscous flows. Phys Fluids 1998
  21. Near-contact motion of surfactant-covered spherical drops. J Fluid Mech 1998
  22. Stokes flow in the presence of a planar interface covered with incompressible surfactant. Phys Fluids 1999
  23. Near-contact motion of surfactant-covered spherical drops: Ionic surfactants. J Colloid Interface Sci. 1999
  24. Effect of inertia on drop breakup under shear. Phys Fluids 2001
  25. Scalings for fragments produced from drop breakup in shear flow with inertia. Phys Fluids 2001
  26. Flow-independent drop deformation with zero surface tension. Phys Fluids 2002
  27. Critical behavior of drops in linear flows: I. Phenomenological theory for drop dynamics near critical stationary states. Phys Fluids 2002
  28. A note on transient stress calculation via numerical simulations. J Non-Newtonian Fluid Mech 2002
  29. A numerical and experimental investigation of lamellar blend morphologies. Industr Eng Chem Res 2002
  30. A new volume-of-fluid formulation for surfactants and simulations of drop deformation under shear at low viscosity ratio. Euro J Mech B/Fluids 2002
  31. Drop fragment distributions under shear with inertia. Int J Multiphase Flow 2002
  32. Drop breakup and fragment size distribution in shear flow. J Rheol 2003
  33. Breakup in stochastic Stokes flows: sub-Kolmogorov drops in isotropic turbulence. J Fluid Mech 2003
  34. Inertia-induced breakup of very viscous drops subjected to simple shear. Phys Fluids 2003
  35. Multiple stationary states for deformable drops in linear Stokes flows. Phys Fluids 2003
  36. Drop breakup in the flow through fixed fiber beds: An experimental and computational investigation. Phys Fluids 2003

    37. Crystal growth and Alloy formation

  37. Three-dimensional crystal growth-I: linear analysis and self-similar evolution. J Crystal Growth 2002
  38. Microstructure evolution in three-dimensional inhomogeneous elastic media. Met Mater Trans A-Phys 2003
  39. Three-dimensional crystal growth-II: nonlinear simulation and control of the Mullins-Sekerka instability. J Crystal Growth 2004
  40. Nonlinear theory of self-similar crystal growth and melting. J Crystal Growth 2004
  41. Nonlinear stability analysis of self-similar crystal growth: control of the Mullins-Sekerka Instability. J Crystal Growth 2005