Research

Sample Publications

MATHEMATICAL MODEL CREATION FOR CANCER CHEMO-IMMUNOTHERAPY

L.G. de Pillis, PhD; K.Renee Fister, PhD; W. Gu, PhD; C. Collins (MSU Student); M. Daub (Williams College Student); D. Gross (HMCStudent); J. Moore (HMC Student); B. Preskill (HMC Student), Computational and Mathematical Methods in Medicine, Vol.10, No.3, 2009, pp. 165-184.

ARE ENGINEERING SCHOOLS MASCULINE AND AUTHORIARIAN? THE MISSION STATEMENTS SAY YES. 

E.G. de Pillis and L.G. de Pillis, Journal of Diversity in Higher Education, inaugural issue Vol.1, No.1, 2008, pp. 33-44.

OPTIMAL CONTROL OF MIXED IMMUNOTHERAPY AND CHEMOTHERAPY OF TUMORS

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) Journal of Biological Systems, Vol. 16, No. 1, 2008, pp. 51-80.

SEEKING BANG-BANG SOLUTIONS OF MIXED IMMUNO-CHEMOTHERAPY OF TUMORS

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). Electronic Journal of Differential Equations, Vol. 2007, No.171, pp.1-24. See http://ejde.math.txstate.edu

COMMENT ON: A VALIDATED MATHEMATICAL MODEL OF CELL-MEDIATED IMMUNE RESPONSE TO TUMOR GROWTH

L.G. de Pillis, A.E. Radunskaya and C.L. Wiseman, Cancer Research, Vol. 67, No. 17, September 2007, p.8420.

CHEMOTHERAPY FOR TUMORS: AN ANALYSIS OF THE DYNAMICS AND A STUDY OF QUADRATRIC AND LINEAR OPTIMAL CONTROLS

L.G. dePillis, PhD ; K. Renee Fister, PhD; Weiqing Gu, PhD; Kenny Maples (HMC student); Tiffany Head (HMC student); Todd Neal (MSU student); Kenji Yoshida (HMC student); Anand Murugan (Pomona student). (preprint) Mathematical Biosciences, Vol. 209, 2007, pp. 292-315.

IS HOMEWORK GRADING ON YOUR NERVES?

L.G. de Pillis and Michael E. Orrison, Teaching Time Savers section of MAA FOCUS Magazine, January 2007, pp.14-15.

SOME PROMISING APPROACHES TO TUMOR-IMMUNE MODELING

L.G. de Pillis and A.E. Radunskaya, in Mathematical Studies on Human Disease Dynamics: Emerging Paradigms and Challenges, AMS Contemporary Mathematics Series, Vol. 410, 2006, pp.89-112.

SPATIAL TUMOR-IMMUNE MODELING

L.G. de Pillis D.G. Mallet and A.E. Radunskaya, (reprint), special issue devoted to Cancer and Medical Treatment Modelling in the Journal Computational and Mathematical Methods in Medicine, Vol. 7, No. 2-3, June-September 2006, pp.159-176.

A CELLULAR AUTOMATA MODEL OF TUMOR-IMMUNE SYSTEM INTERACTIONS

D.G. Mallett and L.G. de Pillis,(reprint) , Journal of Theoretical Biology, Volume 239, Issue 3, pp. 334-350, 7 April 2006, available online September 15, 2005

MIXED IMMUNOTHERAPY AND CHEMOTHERAPY OF TUMORS: MODELING APPLICATIONS AND BIOLOGICAL INTERPRETATIONS

L.G. de Pillis, W. Gu and A.E. Radunskaya, (reprint) , Journal of Theoretical Biology, Vol.238, Issue 4, pp.841-862, 21 February 2006

MASCULINITY THEMES IN THE MISSION STATEMENTS OF ENGINEERING INSTITUTIONS

E.G. de Pillis and L.G. de Pillis, (preprint), Proceedings of the Decision Sciences Institute, 2005. (Proceedings refereed)

A VALIDATED MATHEMATICAL MODEL OF CELL-MEDIATED IMMUNE RESPONSE TO TUMOR GROWTH

L.G. de Pillis , A.E. Radunskaya and C.L. Wiseman, (reprint), Cancer Research, Vol.61, No.17, pp.7950-7958, September 1, 2005

DETERMINANTS AND POLYNOMIAL ROOT STRUCTURE

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

A longer publication list..

Areas of Interest

Research Activities

A sampling of Professor de Pillis’s activities includes: Serving as lead PI on the National Science Foundation supported project Mathematical Modeling of the Chemotherapy, Immunotherapy and Vaccine Therapy of Cancer (with K. Renee Fister of Murray State University and Weiqing Gu of Harvey Mudd College, NSF division of Mathematical Sciences, $328,283); co-PI on the project Research Experiences at the Biological-Mathematical Interface (REBMI) (with John Milton, Arthur H. Lee and Mario Martelli of Claremont McKenna College, Craig Dewey of the Keck Graduate Institute, and Ami Radunskaya of Pomona College, NSF Undergraduate Biological Mathematics program, $429,878); securing full funding to run an American Institute of Mathematics multidisciplinary conference bringing together physicians, experimentalists and mathematicians to explore problems of mutual interest and benefit to all groups, in addition to running other workshops and minisymposia in mathematical biology; publishing in high-impact research journals, including the journal Cancer Research; giving interviews for radio spots; developing new mathematical-biology courses, including developing and delivering an intensive course in tumor-immunology modeling for the Park City Mathematics Institute; writing a textbook in cancer modeling; mentoring the research of post-doctoral scholars; supervising undergraduate research students, including REU students; serving as co-Director of the HMC Quantitative Life Sciences center, which allowed the acquisition a supercomputer for the open use of those doing research in the quantitative life sciences, and supporting multiple faculty-student research projects; serving on the editorial boards for the Journal of Undergraduate Mathematics and its Applications (UMAP), and the AMS (American Mathematical Society) Notices.

Professor de Pillis has given invited presentations to a variety of audiences, from research specialists to general audiences. She speaks both nationally and internationally, and has presented her work in Italy, Australia, New Zealand, Scotland, Norway, and Belgium. 

While continuing her work in tumor-immunology modeling, she is excited about new projects that are currently developing in HIV modeling in collaboration with researchers at UCLA and Washington State University.

Professor de Pillis is a Professor of Mathematics and the Norman F. Sprague, Jr., Professor of Life Sciences.