2023
130) Stochastic competitive release and adaptive chemotherapy, J. Park, P.K. Newton, Phys. Rev. E 108 034407 (2023) (pdf)
129) Bernstein polynomial approximation of fixation probability in finite population evolutionary games, J. Park, P.K. Newton, Dynamic Games and Applications (2023) (pdf)
128) Covid-19 vaccine incentive scheduling using an optimally controlled reinforcement learning model, K. Stuckey, P.K. Newton, Physica D: Nonlinear Phenomena 445 133613 (2023) (pdf)
2022
127) A quantitative characterization of the spatial distribution of brain metastases from breast cancer and respective molecular subtypes, S. Mahmoodifar, …., P.K. Newton, J. Neuro-Onc. 160(1) 242-252 (2022) (pdf)
126) Optimal dynamic incentive scheduling for Hawk-Dove evolutionary games, K. Stuckey, R. Dua, Y. Ma, J. Parker, P.K. Newton, Phys. Rev. E 105 (1) 014412 (2022) (pdf)
125) Anatomical and topographical variations in the distribution of brain metastases based on primary cancer origin and molecular subtypes: A systemic review, T. Cardinal, D. Pangal, B.A. Strickland, P.K. Newton, S. Mahmoodifar, J. Mason, …, Neuro-Onc. Advances 4 (1) 170 (2022) (pdf)
2021
124) Prediction of metastatic patterns in bladder cancer: Spatiotemporal progression and development of a novel, web-based platform for clinical utility, J. Mason, Z. Hasnain, G. Miranda, K. Gill, H. Djaladat, M. Desai, P.K. Newton, I.S. Gill, P. Kuhn, Eur. Urology Open Sci. 32 8-18 (2021) (pdf)
123) Are adaptive chemotherapy schedules robust? A three-strategy stochastic evolutionary game theory model, R. Dua, Y. Ma, P.K. Newton, Cancers 13 (12) 2880 (2021) (pdf)
122) Role of synergy and antagonism in designing multidrug adaptive chemotherapy schedules, Y. Ma, P.K. Newton, Phys. Rev. E 103 (3) 032408 (2021) (pdf)
121) On levitation by blowing, P.K. Newton, Y. Ma, Am. J. Phys. 89 (2) 134-142 (2021) (pdf)
120) Maximizing cooperation in the prisoner’s dilemma evolutionary game via optimal control, P.K. Newton. Y. Ma, Phys. Rev. E 103 (1) 012304 (2021) (pdf)
119) The publication pandemic, P.K. Newton, K.R. Sreenivasan, Physics Today 26 May (2021) (link)
2020
118) Use of wearable activity tracker in patients with cancer undergoing chemotherapy: toward evaluating risk of unplanned healthcare encounters, T. Nilanon, L.P. Nocera, …, P.K. Newton, J. Broderick, C. Shahabi, P. Kuhn, J. Nieva, JCO Clinical Cancer Informatics 4 839-853 (2020) (pdf)
117) Quantified kinematics to evaluate patient chemotherapy risks in clinic, Z. Hasnain, T. Nilanon, …, P.K. Newton, P. Kuhn, J. Nieva, JCO Clinical Cancer Informatics, 4 583-601 (2020) (pdf)
116) OrgDyn: feature and model-based characterization of spatial and temporal organoid dynamics, Z. Hasnain, A.K. Fraser, D. Georgess, A. Choi, P. Macklin, J.S. Bader, S.R. Peyton, A.E. Ewald, P.K. Newton, Bioinformatics 36 (10) 3292-3294 (2020) (pdf)
115) Towards multidrug adaptive therapy, J. West, L. You, J. Zhang, R.A. Gatenby, J.S. Brown, P.K. Newton, A.R.A. Anderson, Cancer Res. 80 (7) 1578-1589 (2020) (pdf)
2019
114) Prediction of bone metastasis in inflammatory breast cancer using a Markov chain model, T. Fujii, J. Mason, A. Chen, P. Kuhn, W.A. Woodward, D. Tripathy, P.K. Newton, N.T. Ueno, The Oncologist, 24 (10) 1322-1330 (2019) (pdf)
113) Cellular interactions constrain tumor growth, J. West, P.K. Newton, Proc. Nat’l Acad. Sci. 116 (6) 1918-1923 (2019) (pdf)
112) Machine learning models for predicting post-cystectomy recurrence and survival in bladder cancer patients, Z Hasnain, J Mason, K Gill, G Miranda, IS Gill, P Kuhn, PK Newton, PLoS one 14(2) e0210976 (2019) (pdf)
111) Editorial, PK Newton, Journal of Nonlinear Science 29(1) 1-2 (2019) (link)
110) Nonlinear adaptive control of competitive release and chemotherapeutic resistance, PK Newton, Y Ma, Phys. Rev. E (Editor’s Suggestion) 99, 022404 (2019) (pdf)
2018
109) Capitalizing on competition: An evolutionary model of competitive release in metastatic castration resistant prostate cancer treatment, J West, Y Ma, PK Newton, J. Theor. Bio. 455 249-260 (2018) (pdf)
108) Low dimensional dynamical characterization of human performance of cancer patients using motion data, Z Hasnain, M Li, T Dorff, D Quinn, NT Ueno, S Yennu, A Kolatkar, C Shahabi, L Nocera, J Nieva, P Kuhn, PK Newton, Clinical Biomechanics 56 61-69 (2018) (pdf)
107) The stochastic quasi-chemical model for bacterial growth: Variational Bayesian parameter update, P Tsilifis, WJ Browning, TE Wood, PK Newton, RG Ghanem, J. Nonlinear Science 28(1) 371-393 (2018) (pdf)
2017
106) Chemotherapeutic dose scheduling based on tumor growth rates provides a case for low-dose metronomic high entropy therapies, J West, PK Newton, Cancer Res. 77(23) 6717-6728 (2017) (pdf)
105) Mining human mobility to quantify performance status, M Nguyen, Z Hasnain, M Li, T Dorff, D Quinn, S Purushotham, L Nocera, PK Newton, P Kuhn, J Nieva, C Shahabi, IEEE Computer Society, Conference on Data Mining Workshops (ICDMW) (2017) (pdf)
104) Fluid mechanics and complex variable theory: Getting past the 19th century, PK Newton, Primus 27(8-9) 814-826 (2017) (pdf)
103) Development of metastatic brain disease involves progression through lung metastases in EGFR mutated non-small cell lung cancer, GK In, J Mason, S Lin, PK Newton, P Kuhn, J Nieva, Conv. Sci. Phys. Onc. 3(3) (2017) (pdf)
2016
102) An evolutionary model of tumor cell kinetics and the emergence of molecular heterogeneity driving Gompertzian growth, J West, Z Hasnain, P Macklin, PK Newton, SIAM Review 58(4) 716-736 (2016) (pdf)
101) The prisoner’s dilemma as a cancer model, J West, Z Hasnain, J Mason, PK Newton, Conv. Sci. Phys. Onc. 2(3) 035002 (2016) (pdf)
100) The fate of random initial vorticity distributions for two-dimensional Euler equations on a sphere, PK Newton, J. Fluid Mech. 786 1-4 (2016) (pdf)
2015
99) Critical behavior of subcellular density organization during neutrophil activation and migration, SM Baker-Groberg, KG Phillips, LD Healy, A Itakura, JE Porter, PK Newton, X Nan, OJT McCarty, Cellular and Molecular Bioeng. 8(4) 543-552 (2015) (pdf)
98) Spatiotemporal progression of metastatic breast cancer: A Markov chain model highlighting the role of early metastatic sites, PK Newton, J Mason, N Venkatappa, MS Jochelson, B Hurt, J Nieva, E Comen, L Norton, P Kuhn, NPJ Breast Cancer 1 15018 (2015) (pdf)
97) Fourier-ring descriptor to characterize rare circulating cells from images generated using immunofluorescence microscopy, T Emerson, M Kirby, K Bethel, A Kolatkar, M Luttgen, S O’Hara, PK Newton, P Kuhn Computerized Medical Imaging and Graphics, 40 70-87 (2015) (pdf)
2014
96) The thrombotic potential of circulating tumor microemboli: Computational modeling of circulating tumor cell-induced coagulation, KG Phillips, AM Lee, GW Tormoen, RA Rigg, A Kolatkar, M Luttgen, K Bethel, L Bazhenova, P Kuhn, PK Newton, OJT McCarty, Am. J. of Phys. Cell Physiology, 308(3) C229-C236. (2014) (pdf)
95) Entropy, Complexity, and Markov diagrams for random walk cancer models, PK Newton, J Mason, B Hurt, K Bethel, L Bazhenova, J Nieva, P Kuhn, Sci. Rep. 4 7558 (2014) (pdf)
94) Point vortex dynamics in the post-Aref era, PK Newton Fluid Dyn. Res. 46(3) 031401 (2014) (pdf)
93) Adrenal metastases in lung cancer: Clinical implications of a mathematical model, L Bazhenova, PK Newton, J Mason, K Bethel, J Nieva, P Kuhn, J. Thoracic Onc. 9(4) 442-446 (2014) (pdf)
92) Coins falling in water, E Kanso, L Heisinger, PK Newton, J. Fluid Mech. 742 243-253 (2014) (pdf)
2013
91) p21-Activated kinase (PAK) regulates cytoskeletal reorganization and directional migration in human neutrophils, A Itakura, JE Aslam, BT Kusanto, KG Phillips, JE Porter, PK Newton, X Nan, RH Insall, J Chernoff, OJT McCarty, PloS one (2013) (pdf)
90) Spreaders and sponges define metastasis in lung cancer: A Markov chain Monte Carlo mathematical model, Cancer Res. 73(9) 2760-2769 (2013) (pdf)
2012
89) Modeling and simulational of procoagulant circulating tumor cells in flow, A Lee, GW Tormoen, E Kanso, OJT McCarty, PK Newton, Front. Oncol. (2012) (pdf)
88) A low-dimensional deformation model for cancer cells in flow, AM Lee, MA Berny-Lang, S Liao, E Kanso, P Kuhn, OJT McCarty, PK Newton, Phys. Fluids 24(8) 081903 (2012) (pdf)
87) Energy-momentum stability of icosahedral configurations of point vortices on a sphere, PK Newton, V Ostrovskyi, J. Nonlinear Sci. 22(4) 499-515 (2012) (pdf)
86) Insights into symmetric and asymmetric vortex mergers using the core growth model, F Jing, E Kanso, PK Newton, Phys. Fluids 24 073101 (2012) (pdf)
85) The finite-dipole dynamical system, AA Tchieu, E Kanso, PK Newton Proc. Roy. Soc. A 468 3006-3026 (2012) (pdf)
84) A stochastic Markov chain model to describe lung cancer growth and metastasis, PK Newton, J Mason, K Bethel, LA Bazhenova, J Nieva, P Kuhn, PloS one 7(4) e34637 (2012) (pdf)
83) Stationary equilibrium singularity distributions in the plane, PK Newton, V Ostrovskyi Nonlinearity 25 495 (2012) (pdf)
82) JE Marsden Memorial Issue Editorial, AM Bloch, TS Ratiu, PK Newton, KR Sreenivasan J. Nonlinear Sci. 22(4) 429 (2012) (link)
2011
81) Wake structure of a deformable Joukowski airfoil, A Ysasi, E Kanso, PK Newton, Physica D: Nonlinear Phenomena 240(20) 1574-1582 (2011) (pdf)
80) Hydrodynamically coupled oscillators, R Tiron, E Kanso, PK Newton, J. Fluid Mech. 677 589-606 (2011) (pdf)
79) Streamline bifurcations and scaling theory for multiple-wake models, BG Oskouei, E Kanso, PK Newton, Int. Journal of Nonlinear Mechanics 46(4) 592-601 (2011) (pdf)
78) Announcement of new editorial leadership team: KR Sreenivasan, PK Newton, J. Nonlinear Science 21(1) 1-2 (2011) (pdf)
77) Point vortex equilibria and optimal packings of circles on a sphere, PK Newton, T Sakajo, Proc. Roy. Soc. A 467 1468-1490 (2011) (pdf)
2010
76) Viscous evolution of point vortex equilibria: The collinear state, F Jing, E Kanso, PK Newton, Phys. Fluids 22 123102 (2010) (pdf)
75) Stability of the configurations of point vortices on a sphere, VV Meleshko, PK Newton, VV Ostrovskyi, J. Mathematical Sci. 171(5) 603-619 (2010) (pdf)
74) Locomotory advantages to flapping out of phase, E Kanso, PK Newton, Exp. Mechanics 50(9) 1367-1372 (2010) (pdf)
73) The N-vortex problem on a sphere: Geophysical mechanisms that break integrability, Theor. and Comp. Fluid Dynamics 24(1-4) 137-149 (2010) (pdf)
72) The Shannon entropy of Sudoku matrices, PK Newton, SA DeSalvo, Proc. Roy. Soc. A 466 1957-1975 (2010) (pdf)
71) In memory of Jerry Marsden, A Dosanjh, PJ Holmes, PK Newton, C Rowley, J. Nonlinear Sci. 20 687 (2010) (link)
2009
70) Spectral gradient flow and equilibrium configuration of point vortices, A Barreiro, J Bronski, PK Newton, Proc. Roy. Soc. A 2118 1687-1702 (2009) (pdf)
69) Passive locomotion via normal-mode coupling in a submerged spring-mass system, E Kanso, PK Newton, J. Fluid Mech. 641 205-215 (2009) (pdf)
68) Von Kármán vortex streets on a sphere, G Chamoun, E Kanso, PK Newton, Phys. Fluids 21(11) 116603 (2009) (pdf)
67) Vortex lattice theory: A particle interaction perspective, PK Newton, G Chamoun, SIAM Rev. 51(3) 501-554 (2009) (pdf)
66) Monte Carlo tennis: A stochastic Markov chain model, PK Newton, K Aslam, J. Quant. Anal. in Sports 5(3) (2009) (pdf)
65) Point vortex equilibria on the sphere via Brownian ratchets, PK Newton, T Sakajo, Proc. Roy. Soc. A 465 437-455 (2009) (pdf)
2008
64) Interacting dipole pairs on a rotating sphere, PK Newton, H. Shokraneh, Proc. Roy. Soc. A 464 1525-1541 (2008) (pdf)
2007
63) Two-layer quasigeostrophic potential vorticity model, MI Jamaloodeen, PK Newton, J. Math. Phys. 48(6) (2007)
62) Construction of point vortex equilibria via Brownian ratchets, PK Newton, G Chamoun, Proc. Roy. Soc. A 463 1525-1540 (2007) (pdf)
61) Introduction to Special Issue: Mathematical Fluid Dynamics, CR Doering, PK Newton, J. Math. Phys. 48 065101 (2007)
60) The N-vortex problem on a rotating sphere. III. Ring configurations coupled to a background field, PK Newton, T Sakajo, Proc. Roy. Soc. A 463 961-977 (2007) (pdf)
59) Eigenvalue distributions from impacts on a ring, B. Cooley, PK Newton, Reg. and Chaotic Dyn. 12(1) 12-26 (2007)
58) N-vortex equilibrium theory, PK Newton, Discrete & Cont. Dyn. Sys. A 19(2) (2007)
2006
57) The N-vortex problem on a rotating sphere. II. Heterogenous Platonic solid equilibria, MI Jamaloodeen, PK Newton, Proc. Roy. Soc. A 462 3277-3299 (2006) (pdf)
56) Chaotic advection in the restricted four-vortex problem on a sphere, PK Newton, SD Ross, Physica D: Nonlinear Phenomena 223(1) 36-53 (2006) (pdf)
55)The N-vortex problem on a rotating sphere. I. Multi-frequency configurations, PK Newton, H. Shokraneh, Proc. Roy. Soc. A 462 149-169 (2006) (pdf)
54) Monte Carlo tennis, PK Newton, K Aslam, SIAM Review 48(4) 722-742 (2006) (pdf)
2005
53) Probability of winning at tennis I. Theory and data, PK Newton, JB Keller, Studies in Appl. Math. 114(3) 241-269 (2005) (pdf)
52) Nonlinear dissipative eigenvalue problems with large initial conditions, VG Papanicolaou, PK Newton, J. Math. Phys. 46(1) 013502 (2005)
51) The dipole dynamical system, PK Newton, Discrete and Cont. Dyn. Sys. 2005 692-699 (2005)
50) The constrained planar N-vortex problem: Integrability, PK Newton, M Ruith, E Upchurch, Discrete and Cont. Dyn. Sys. 5(1) 137-152 (2005)
49) Vortex dipole coordinates on the sphere, PK Newton, H Shokraneh, Vortex Dominated Flows: A Volume Celebrating Lu Ting’s 80th Birthday, Eds. D. Blackmore, E. Krause, C. Tung, 169-181, Springer-Verlag (2005)
48) Iterated impact dynamics of N-beads on a ring, B. Cooley, PK Newton, SIAM Review 47(2) 273-300 (2005)
47) Berry’s phase, PK Newton, J.E. Marsden, Encyclopedia of Nonlinear Science, Ed. A. Scott, 45-47, Routledge (2005)(pdf)
46) Chaos vs. turbulence, PK Newton, H. Aref, Encyclopedia of Nonlinear Science, Ed. A. Scott, 114-117, Routledge (2005)(pdf)
2004
45) The method of images and Green’s function for spherical domains, E. Gutkin, PK Newton, J. of Phys. A: Mathematical and General 37(50) 11989 (2004)
44) The dipole dynamical system, PK Newton, Discrete and Cont. Dyn. Sys. Series B 1-8 (2004)
43) Random number generation from chaotic impact collisions, B. Cooley, PK Newton, Regular and Chaotic Dynamics 9(3) 199-212 (2004)
2003
42) Power law asymptotics for nonlinear eigenvalue problems, PK Newton, VG Papanicolaou. In: Kaplan, E., Marsden, J.E., Sreenivasan, K.R. (eds.) Perspectives and Problems in Nonlinear Science 37(50) 11989 (2003)
41) Vortex crystals, H, Aref, PK Newton, MA Stremler, T Tokieda, DL Vainchtein, Advances in Applied Mech. 39 2-81 (2003)
2002
40) Integrable decomposition methods and ensemble averaging for non-integrable N-vortex problems, PK Newton, B Khushalani, J. of Turbulence 3(1) 054 (2002)
39) Non-equilibrium statistical mechanics for a vortex gas, PK Newton, I Mezic, J. of Turbulence 3(1) 052 (2002)
38) Geometry, Mechanics, and Dynamics: Volume in Honor of the 60th Birthday of JE Marsden, PK Newton, P Holmes, A Weinstein (eds.), Springer-Verlag (2002)
37) Amplitude equation models for the interaction of shocks with nonlinear dispersive wave envelopes, PK Newton, RM Axel. In: Christov, CI, Guran, A (eds.) Selected Topics in Nonlinear Wave Mechanics Birkhauser, Boston 35-74 (2002)
2001
36) The N-Vortex Problem: Analytical Techniques, PK Newton, Texts in Applied Mathematics Vol 145 (2001)
2000
35) Geometric phases for corotating elliptical vortex patches, BN Shashikanth, PK Newton, J. Math. Phys. 41(12) 8148-8162 (2000)
34) Streamline topologies for integrable vortex motion on a sphere, R Kidambi, PK Newton, Physics D: Nonlinear Phenomena 140 (1-2) 95-125 (2000)
33) Point vortex motion on a sphere with boundaries, R Kidambi, PK Newton, Phys. Fluids 12(3) 581-588 (2000)
