Publications

L.G. de Pillis

 

L.G. de Pillis, with E.A. Sarapata "A Comparison and Catalog of Intrinsic Tumor Growth Models," Bulletin of Mathematical Biology, in press.


L.G. de Pillis, with A.E. Radunskaya "Modeling Immune-mediated Tumor Growth and Treatment," Chapter in Mathematical Oncology, Alberto D'Onofrio and Alberto Gandol Eds., Birkhauser-Springer, in press.


L.G. de Pillis, with E. J. Schwartz "Computational model of HIV-1 escape from the cytotoxic T lymphocyte response," Canadian Applied Mathematics Quarterly, in press.


L.G. de Pillis, with A.E. Radunskaya and H. Savage "Mathematical Model of Colorectal Cancer with Monoclonal Antibody Treatments," British Journal of Medicine and Medical Research, Volume 4, Number 16, 2014, pp. 3101-3131.


L.G. de Pillis, with T. Caldwell, E. Sarapata, H. Williams, "Mathematical Modeling of the Regulatory T Cell E ects on Renal Cell Carcinoma Treatment," Discrete and Continuous Dynamical Systems Series B, Volume 18, Number 4, June 2013, pp. 915-943.


L.G. de Pillis, with S. Nanda and A.E. Radunskaya, "B Cell Chronic Lymphocytic Leukemia - A Model with Immune Response," Discrete and Continuous Dynamical Systems Series B, Volume 18, Number 4, June 2013, pp. 1053-1076.

L.G. de Pillis, with A. Gallegos and A.E. Radunskaya, "A Model of Dendritic Cell Therapy for Melanoma," Front. Oncol. Volume 3, Article 56, March, 2013, doi: 10.3389/fonc.2013.00056.


L.G. de Pillis and Ami Radunskaya, Invited book chapter: "Best Practices in Mathematical Modeling," A. Mayeno and B. Reisfeld, Eds., Computational Toxicology, Methods in Molecular Biology, Volume 929, Part 2, 2012, pp. 51-74.


Steve Adolph and L.G. de Pillis, "Mathematical Biology at an Undergraduate Liberal Arts College," CBE - Life Sciences Education, Vol. 9(4), Winter 2010, pp.417-421.

L.G. de Pillis, with John Milton, Ami Radunskaya, Arthur Lee, Diana Bartlett, "Team Research at the Biology-Mathematics Interface: Project Management Perspectives", CBE - Life Sciences Education, Vol. 9(3), Fall 2010, pp. 316-322.


L.G. de Pillis, with Pat Marsteller, Ann Findley, Karl Joplin, John Pelesko, Karen Nelson, Katerina Thompson, David Usher, Joseph Watkins, "Toward Integration: From Quantitative Biology to Mathbio-Biomath?", CBE - Life Sciences Education, Vol. 9(3), Fall 2010, pp. 165-171.


Jeffrey G. Ryan and L.G. de Pillis, Effective Collaborations to Support Transformative Research, Transformative Research at Predominantly Undergraduate Institutions, Karukstis and Hensel Eds, CUR, 2010, pp. 89-96.


A.H. Erickson (Mathematics, Georgia Gwinnett College), Alison Wise (Biostatisticis, University of North Carolina Chapel Hill), Stephen Fleming (Microbiology and Immunology, University of Otago, New Zealand), Margaret Baird (Microbiology and Immunology, University of Otago, New Zealand), Zabeen Lateef (Microbiology and Immunology, University of Otago, New Zealand), Annette Molinaro (Biostatistics, Yale University), Miranda Teboh-Ewungkem (Mathematics, Lafayette College) and L.G. de Pillis (Mathematics, Harvey Mudd College) A Preliminary Mathematical Model of Skin Dendritic Cell Tracking and Induction of T Cell Immunity, Discrete and Continuous Dynamical Systems, Series B (Special Issue on Mathematical Biology and Medicine), Vol.12, No.2, 2009, pp.323-336


L.G. de Pillis, PhD; K.Renee Fister, PhD; W. Gu, PhD; C. Collins (MSU Student); M. Daub (Williams College Student); D. Gross (HMC Student); J. Moore (HMC Student); B. Preskill (HMC Student) Mathematical Model Creation for Cancer Chemo-Immunotherapy, Computational and Mathematical Methods in Medicine, 2008, pp. 1-19. In Press


E.G. de Pillis and L.G. de Pillis, Are Engineering Schools Masculine and Authoriarian? The Mission Statements Say Yes, Journal of Diversity in Higher Education,inaugural issue Vol.1, No.1, 2008, pp. 33-44.


L.G. de Pillis, PhD; K.Renee Fister, PhD; W. Gu, PhD; Tiffany Head (HMC student); Kenny Maples (HMC student); Todd Neal (MSU student); Kenji Kozai (HMC student); Anand Murugan (Pomona College Student) Optimal Control of Mixed Immunotherapy and Chemotherapy of Tumors, Journal of Biological Systems, Vol. 16, No. 1, 2008, pp. 51-80.


L.G. de Pillis, PhD; K.Renee Fister, PhD; W. Gu, PhD; C. Collins(MSU Student); M. Daub (Williams College Student); D. Gross (HMC Student); J. Moore (HMC Student); B. Preskill (HMC Student) Seeking Bang-Bang Solutions of Mixed Immuno-Chemotherapy of Tumors, Electronic Journal of Differential Equations, Vol. 2007, No. 171 pp. 1-24. See http://ejde.math.txstate.edu


L.G. de Pillis, A.E. Radunskaya and C.L. Wiseman, Comment on: A Validated Mathematical Model of Cell-Mediated Immune Response to Tumor Growth, Cancer Research, Vol.67, No.17, September 2007, pp.8420.


L.G. de Pillis, PhD ; K. Renee Fister, PhD; Weiqing Gu, PhD; Kenny Maples (HMC student); Tiffany Head (HMC student); Todd Neal (MSU student), BS; Kenji Yoshida (HMC student); Anand Murugan (Pomona student), Chemotherapy for Tumors: An Analysis of the Dynamics and a Study of Quadratic and Linear Optimal Controls, Mathematical Biosciences, Vol 209, 2007, pp. 292-315.


L.G. de Pillis and Michael E. Orrison, Is Homework Grading on Your Nerves?, Teaching Time Savers section of MAA FOCUS Magazine, January 2007, pp.14-15.


L.G. de Pillis and A.E. Radunskaya, Some Promising Approaches to Tumor-Immune Modeling, Mathematical Studies on Human Disease Dynamics: Emerging Paradigms and Challenges, AMS Contemporary Mathematics Series, Vol. 410, 2006,pp.89-112.


L.G. de Pillis, D.G. Mallet and A.E. Radunskaya, Spatial Tumor-Immune Modeling, special issue devoted to Cancer and Medical Treatment Modelling in theJournal Computational and Mathematical Methods in Medicine, Vol. 7, No. 2-3, June-

September 2006, pp.159-176.


D.G. Mallett and L.G. de Pillis, A Cellular Automata Model of Tumor-immuneSystem Interactions, Journal of Theoretical Biology, Vol. 239, Issue 7, 7 April 2006, pp. 334-350.


L.G. de Pillis, W. Gu and A.E. Radunskaya, Mixed Immunotherapy and Chemotherapy of Tumors: Modeling Applications and Biological Interpretations, Journal of Theoretical Biology, Vol.238, Issue 4, pp.841-862, 21 February 2006.


L.G. de Pillis, A.E. Radunskaya and C.L. Wiseman, A Validated Mathematical Model of Cell-Mediated Immune Response to Tumor Growth, Cancer Research, Vol.61, No.17, pp.7950-7958, September 1, 2005.


E.G. de Pillis and L.G. de Pillis, Masculinity themes in the mission statements of engineering institutions, Proceedings of the Decision Sciences Institute, 2005. (Refereed proceedings)


L.G. de Pillis, Determinants and Polynomial Root Structure, International Journal of Mathematical Education in Science and Technology, Vol. 36, No. 5, pp. 469-481, 15 July-15 August 2005.


L.G. de Pillis and A.E. Radunskaya, Fourier Transforms, Fourier Series and the FFT, 2004, Education module as part of KUCSEC grant to develop educational materials for an undergraduate curriculum in computational science. Modules are to be published on-line in order to be highly accessible to the scientific community. Available at http://www.capital.edu/acad/as/csac/Keck/modules.html#fourier


L.G. de Pillis and A.E. Radunskaya, The Dynamics of an Optimally Controlled Tumor Model: A Case Study, Mathematical and Computer Modelling, Vol. 37, No. 11, pp. 1221-1244, June 2003.


L.G. de Pillis and A.E. Radunskaya, A Mathematical Model of Immune Response to Tumor Invasion, Computational Fluid and Solid Mechanics 2003, Proceedings of the Second M.I.T. Conference on Computational Fluid Dynamics and Solid Mechanics, pp. 1661–1668, June 2003. (Conference proceedings)


L.G. de Pillis and A.E. Radunskaya, Modeling Tumor-Immune Interactions, 2003, Education module as part of KUCSEC grant to develop educational materials for an undergraduate curriculum in computational science. Modules are to be published on-line in order to be highly accessible to the scientific community. Available at

http://www.capital.edu/acad/as/csac/Keck/modules.html#tumor


L.G. de Pillis, A.E. Radunskaya and C.L. Wiseman, A validated computer model of the cell-mediated responses to vaccine therapy of three tumor systems in the C57B/6 mouse, Journal of Immunotherapy, Vol. 25, Issue 6, Nov/Dec 2002. (Abstract)


L.G. de Pillis, Technology in Education: Minefield or Cornucopia?, in Changing Core Mathematics, pp. 73-76, Eds. C. Arney and D. Small, MAA Notes, 2002.


L.G. de Pillis and A.E. Radunskaya, A Mathematical Tumor Model with Immune Resistance and Drug Therapy: An Optimal Control Approach, Journal of Theoretical Medicine, Vol. 3, 2001, pp. 79-100. (Also Argonne National Laboratory Preprint ANL/MCS-P805-0400)


E.G. de Pillis and L.G. de Pillis, The Long-Term Impact of University Budget Cuts: A Mathematical Model, Mathematical and Computer Modelling, Vol. 33, Issue 8/9, 2001, pp. 851-876. (Also Argonne National Laboratory Preprint ANL/MCS-P817-0500)


P.D. Cha and L.G. de Pillis, Model Updating by Adding Known Masses, International Journal of Numerical Methods in Engineering, Vol. 50, Issue 11, 20 April 2001, pp. 2547-2571.


P.D. Cha and L.G. de Pillis, Model Updating by Adding Known Masses and Stiffnesses, 1999 Asia-Pacific Vibration Conference, Singapore, December 13–15, 1999, pp. 1136-1141. (Conference proceedings)


L.G. de Pillis, Newton’s Cubic Roots, Australian Math. Soc. Gazette, Vol. 25, No.5, pp. 236-241, 1998.


L.G. de Pillis and A.E. Radunskaya, The Multiple Scale Wave Equation, Mathematical and Computational Modelling, Vol.28, No.12, pp.33-80, 1998.


T.F. Chan, L.G. de Pillis, and H.A. van der Vorst, Transpose-Free Formulations of Lanczos-Type Methods for Nonsymmetric Linear Systems, Numerical Algorithms, Vol. 17, pp.51-66, 1998.


L.G. de Pillis The Multiple Scale Transport Equation in One Space Dimension, Ann. Mat. Pura Appl. (4), Vol. 174, pp. 121-134, 1998.


L.G. de Pillis A Comparison of Iterative Methods for Solving Nonsymmetric Linear Systems, Acta Applicandae Mathematicae, Vol. 51, No. 2, pp.141-159, April 1998.


P.D. Cha and L.G. de Pillis Numerical Methods for Analyzing the Effects of Uncertainties on the Dynamics of Periodic Structures, International Journal for Numerical Methods in Engineering, Vol. 40, No. 20, pp.3749-3765, 1997.


L.G. de Pillis From Navier-Stokes to Waves, Proceedings on Finite Elements in Fluids, New Trends and Applications (FEMIF 95), pp.965-974, 1995, Venice, Italy. (Conference proceedings)


L.G. de Pillis, J. de Pillis, J. Petersen, “An Iterative Solution to Special Linear Systems”, Third Conference on Hypercube Concurrent Computers and Applications, Vol. II, pp.1717-1725, 1988, ACM Press. (Conference proceedings)


Additional works:


L.G. de Pillis , "Technology in Education: Minefield or Cornucopia?", in Changing Core Mathematics, MAA Notes #61 2002, pp.73-76. Eds. C. Arney and D. Small, The Mathematical Association of America 2002.


L.G. de Pillis and E.G. de Pillis, "A Mathematical Framework for Understanding Continuum Effects of Budget Fluctuations on a University", Argonne National Laboratory Preprint ANL/MCS-P806-0400, 2000.(Tech Report)


L.G. de Pillis, "Technology in the Undergraduate Classroom", Proceedings of the Interdisciplinary Workshop on Core Mathematics: Considering Change in the First Two Years of Undergraduate Mathematics, West Point, New York, November 1999, pp. 53-58. (Invited article)


L.G. de Pillis, "Computational Mathematics: The Silent Partner", CASE Newsletter, lead article, March 1999. (Invited article)


L.G. de Pillis, Pacific Northwest Workshop in Mathematical Biology", Society of Mathematical Biology Newsletter, Vol. 10, No. 2, 1997. (Meeting review)


D.W. Schwendeman, C.P. Please, M.F. Hurwitz, L.G. de Pillis, "Filter Cleaning using Gas Injection", Renssalaer Polytechnic Institute, pp 1-8, Troy, New York, 1995. (Tech report).


D. Bernardete, J. Bryant, C. Coppin, L.G. de Pillis, D. French, J. Goldberg, D. Wagner, J. Zhao, "Crystal Size Distribution in a Sidearm Precipitator", IMA Preprint Series No. 1254, pp 1-32, Institute for Mathematics and its Applications, University of Minnesota, 1994. (Tech report)


C. Chiu, L.G. de Pillis, D. French, P. Hagen, L. Kalachev, S. Loch, T. Soong, D. West, "Chemical Reactor Modeling", IMA Preprint Series No. 1254, pp 1-14, Institute for Mathematics and its Applications, University of Minnesota, 1994. (Tech report)


L.G. de Pillis, "Far-Field Behavior of Slightly Compressible Flow", Computational and Applied Mathematics Report No. 93-15, pp 1-72, Department of Mathematics, UCLA, Los Angeles, 1993. (Tech report)


T. Chan, L.G. de Pillis, H. Van der Vorst, "A Transpose-Free Squared Lanczos Algorithm and Application to Solving Nonsymmetric Linear Systems," Computational and Applied Mathematics Report no. 91-17, pp 1-13, Department of Mathematics, UCLA, Los Angeles, September 1991. (Tech report)


L.G. de Pillis and D. Lausch, "The Lambert Projectiuon in CBS," Jet Propulsion Laboratory, CBS group, pp 1-19, December, 1990. (Tech report)


L.G. de Pillis, "Infrared Sensor Computer Model," Jet Propulsion Laboratory, Hypercube Group, pp 1-36, August, 1990. (Tech report)


L.G. de Pillis, J. Petersen, J. de Pillis, "A Wector-Parallel Solution to Special Linear Systems," CMI report No. 88/45053-1, pp 1-22, Bergen, Norway, June 1988; also Bergen Scientific Centre, Bergen, Norway, January 1988. (Tech report)


L.G. de Pillis, J. de Pillis, J. Petersen, "An Iterative Solution to Special Linear Systems," Third Conference on Hypercube Concurrent Computers and Applications, Volume II, pp 1717-1725, 1988, ACM Press. (Conference proceedings)


C. Addison, J. Cook, L.G. de Pillis, J. Lindheim, J. Petersen and R. Renaut, "Solving the Forward Wave Equation on the Intel Hypercube," CMI report No. 874561-3, pp 1-24, Bergen, Norway, December 1987. (Tech report)


L.G. de Pillis, J. Lindheim, "A Parallel Sorting Routine for the hypercube based on a Combination of Mergesort and Quicksort," CMI report No. 874550-1, pp 1-10, Bergen, Norway, June 1987.


L.G. de Pillis, "Vectorization of an LU Matrix Solver in 3 Dimensions on the Amdahl VP-1100 Vector Processor," CMI report No. 874503-1, pp 1-10, Bergen, Norway, March 1987.