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 Eects 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.