"Models for plasma kinetics during simultaneous therapeutic plasma exchange and extracorporeal membrane oxygenation." C. Puelz, Z. Danial, J. Marinaro, J.S. Raval, B.E. Griffith, C.S. Peskin. submitted. 2020. [link-to-arXiv:2006.06100].
"Mathematical modeling of the impact of recirculation on exchange kinetics in tandem extracorporeal membrane oxygenation and therapeutic plasma exchange." C. Puelz, J. Marinaro, Y.A. Park, B.E. Griffith, C.S. Peskin, J.S. Raval. Journal of Clinical Apheresis, accepted for publication, 2020.
"A sharp interface method for an immersed viscoelastic solid." C. Puelz and B.E. Griffith. Journal of Computational Physics, 409, 2020. [link-to-arXiv:1902.02424].
"A reduced model for solute transport in compliant blood vessels with arbitrary axial velocity profile." R. Masri, C. Puelz, B. Riviere. submitted, 2019. [link-to-arXiv:1912.09587].
"A physiological model of the inflammatory-thermal-pain-cardiovascular interactions during a pathogen challenge." A. Dobreva, R. Brady, K. Larripa, C. Puelz, J. Mehlsen, and M. Olufsen. submitted, 2019. [link-to-arXiv:1908.07611].
"A priori error estimates of Adams-Bashforth discontinuous Galerkin methods for scalar nonlinear conservation laws." C. Puelz and B. Riviere. Journal of Numerical Mathematics, 26(3), pp. 151--172, 2018. [link-to-journal].
"A computational study of the Fontan circulation with fenestration or hepatic vein exclusion." C. Puelz, S. Acosta, B. Riviere, D. Penny, K. Brady, and C.G. Rusin. Computers in Biology and Medicine, 89, pp. 405-418, 2017. [link-to-journal].
"Cardiovascular mechanics in the early stages of pulmonary hypertension: a computational study." S. Acosta, C. Puelz, B. Riviere, D. Penny, K. Brady, and C.G. Rusin. Biomechanics and Modeling in Mechanobiology, 16(6), pp. 2093--2112, 2017. [link-to-journal].
"Convergence of IPDG for coupled time-dependent Navier-Stokes and Darcy equations." N. Chabaane, V. Girault, C. Puelz, and B. Riviere. Journal of Computational and Applied Mathematics, 324, pp. 25-48, 2017. [link-to-journal].
"Comparison of reduced models for blood flow using Runge-Kutta discontinuous Galerkin methods." C. Puelz, B. Riviere, S. Canic, and C.G. Rusin. Applied Numerical Mathematics, 115, pp. 114-141, 2017. [link-to-journal], [link-to-arXiv:1511.05277].
"Numerical method of characteristics for one-dimensional blood flow." S. Acosta, C. Puelz, B. Riviere, D. Penny, and C.G. Rusin. Journal of Computational Physics, 294, pp. 96-109, 2015. [link-to-journal], [link-to-arXiv:1411.5574].
"Spectral approximation for quasiperiodic Jacobi operators." C. Puelz, M. Embree, and J. Fillman. Integral Equations and Operator Theory, 82(4), pp. 533-554, 2015. [link-to-journal], [link-to-arXiv:1408.0370].
Theses and Technical Reports:
"Numerical methods and applications for reduced models of blood flow." PhD thesis, Rice University, May 2017. [link-to-pdf].
"Improved spectral calculations for discrete Schroedinger operators," Master's Thesis, Rice University, May 2013. [link-to-pdf].
"Visualizing the pareto surface" B. Hosseini, G. Liu, C. Puelz, S. Tracht, M. Smilovic. IMA Preprint Series, #2401, June 2012. [link-to-pdf].
Conference Abstracts:
"A hyperelastic immersed boundary finite element model of the human heart." C. Puelz, D. Wells, M. A. Smith, S. Rossi, P. Segars, G. Sturgeon and B. E. Griffith. 6th International Conference on Computational and Mathematical Biomedical Engineering, Sendai, Japan, 2019.
"Mathematical investigation of impact of recirculation in patients receiving tandem extracorporeal membrane oxygenation and therapeutic plasma exchange." C. Puelz, Y.A. Park, J. Marinaro, C.S. Peskin, B.E. Griffith, J.S. Raval. American Society for Apheresis Annual Meeting 2019, Portland, OR.
"Immersed boundary finite element hyperelastic heart model." C. Puelz, M.A. Smith, S. Rossi, G. Sturgeon, Paul Segars, and B. Griffith. ECCM-ECFD 2018. [link-to-pdf].
Recent Posters:
"Hyperelastic immersed boundary finite element heart model." M.A. Smith, C. Puelz, S. Rossi, B. Griffith, SIAM SEAS, March 2018. [link-to-pdf].