Aerospace & Mechanical
Engineering

Paul K. Newton

Address:
University of Southern California
Department of Aerospace and Mechanical Engineering
Los Angeles, California 90089-1191

Office: RRB 221
Tel. (213) 740-7782
Fax. (213) 740-7774
email: newton@usc.edu
website: http://newton.usc.edu/

Academic rank: Professor

Education:

1985 Ph.D., Applied Mathematics, Brown University
1981 B.Sc., Applied Mathematics/Physics, Harvard University
1985-1987: Postdoctoral Fellow, Department of Mathematics, Stanford University

USC Academic Positions:

2013-: Professor, Norris Comprehensive Cancer Center, Keck School of Medicine
1998-: Professor, Department of Aerospace and Mechanical Engineering and Department of Mathematics
1993-1998: Associate Professor, Department of Aerospace and Mechanical Engineering and Department of Mathematics

Other Professional Positions:

2014: Visiting Professor, Kavli Institute for Theoretical Physics (KITP), UC Santa Barbara
2007: Visiting Professor, Department of Mathematics, Hokkaido University
2007: Visiting Professor, Department of Mathematics, UC Santa Barbara
2000: Visiting Professor, Institute for Theoretical Physics (KITP), UC Santa Barbara
2000: Visiting Professor, Control and Dynamical Systems, Caltech
1992-1993: Associate Professor, Department of Mathematics and Center for Complex Systems Research, Beckman Institute, University of Illinois
1987-1992: Assistant Professor, Department of Mathematics and Center for Complex Systems Research, Beckman Institute, University of Illinois
1989: Visiting Assistant Professor, Division of Applied Mathematics, Brown University

Research Interests:

Nonlinear dynamics/chaotic systems, fluid mechanics, vortex dynamics, probabilistic game theory, mathematical/computational modeling of cancer metastasis, markov chain/monte carlo modeling

Selected Publications:

P.K. Newton, J. Mason, B. Hurt, K. Bethel, L. A. Bazhenova, J. Nieva, P. Kuhn, "Entropy, Complexity, and Markov Diagrams for Random Walk Cancer Models," Nature Sci. Rep., Dec. 19, 2014.
L. Bazhenova, P.K. Newton, J. Mason, K. Bethel, J. Nieva, P. Kuhn, "Adrenal Metastases in Lung Cancer: Clinical Implications of a Mathematical Model," J. Thoracic Oncology 9(4), 442-446 2014.
P. K. Newton, J. Mason, K. Bethel, L. A. Bazhenova, J. Nieva, L. Norton, P. Kuhn, "Spreaders and Sponges Define Metastasis in Lung Cancer: A Markov Chain Monte Carlo Model," Cancer Research 73(9), pp.2760-2769, 2013.
P. K. Newton, J. Mason, K. Bethel, L. A. Bazhenova, J. Nieva, P. Kuhn, "A Markov Chain Mathematical Model to Describe Lung Cancer Growth and Metastasis," PLoS ONE 7(4), e34637, April, 2012.
A. Lee, M.A. Berny-Lang, S. Liao, E. Kanso, P. Kuhn, O.J.T. McCarty, P. K. Newton, "A Low-Dimensional Deformation Model for Cancer Cells in Flow," Physics of Fluids 248, 081903, (Feature Article), 2012.
A.A. Tchieu, E. Kanso, P.K. Newton, "The Finite-Dipole Dynamical System," Proc. Roy. Soc. A 468, pp.3006-3026, 2012.
P.K. Newton, T. Sakajo, "Point Vortex Equilibria and Optimal Packings of Circles on a sphere," Proc. Roy. Soc. A 467, 2129, pp. 1468-1490, 2011.
P.K. Newton, S. DeSalvo "The Shannon Entropy of Sudoku Matrices," Proc. Roy. Soc. A, 466, pp. 1957-1975, 2010.
P.K. Newton, G. Chamoun, "Vortex Lattice Theory: A Particle Interaction Perspective," SIAM Review 51(3), pp. 501-542, 2009.
P.K. Newton, P.K., K. Aslam, "Monte Carlo Tennis: A Stochastic Markov Chain Model, J. of Quantitative Analysis in Sports 5(3), Article 7, 2009.
More publications...

Professional Societies:

American Physical Society (APS)
Society for Industrial and Applied Mathematics (SIAM)
American Mathematical Society (AMS)

Honors and Awards:

2014: Hassan Aref Memorial Lecture, Virginia Tech School of Engineering
2014: University of British Columbia Distinguished Applied Mathematics Colloquium
2013: Keynote Address, IUTAM Symposium on Vortex Dynamics: Formation, Structure, and Function
2011: Keynote Address, Nonlinear Phenomena: A View from Mathematics and Physics, National Taiwan University
2011: Mellon Foundation Faculty Mentoring Award, Viterbi School of Engineering, USC
2009: Keynote Address, International Conference on Mathematics in Sport, Groningen
2008: Keynote Address, IUTAM Symposium: 150 Years of Vortex Dynamics, Copenhagen
1993-1994: Beckman Institute Research Fellow Award
1993: Oakely-Kund Teaching Award (University Finalist)
1981-1982: Brown University Fellowship
1978-1981: Harvard University Scholarship for Academic Achievement

Courses Taught:

AME 525, 526: Engineering Analysis I, II
AME 530 a,b: Dynamics of Incompressible Fluids
AME 511: Compressible Gas Dynamics
AME 626: Singular Perturbation Methods
AME 630: Transition to Chaos in Dynamical Systems

Recent Professional Development Activities:

Managing Editor: Journal of Nonlinear Science
Editorial Board: Journal of Nonlinear Science
Editorial Board: Texts in Applied Mathematics, Springer-Verlag
Center Advisory Committee: The Scripps Research Institute, LaJolla CA
Advisory Board: Strategic Analytics, Santa Fe, New Mexico

Paul K. Newton