--> denotes undergraduate co-author

PUBLISHED: (reverse numerical order...)

  1. M. Santiago, N.A. Battista, L.A. Miller, S. KhatriPassive concentration dynamics incorporated into the library IB2d, a two-dimensional implementation of the immersed boundary method, Bioinspiration & Biomimetics (2021) LINK

  2. J. Miles, N.A. Battista Exploring the sensitivity in jellyfish locomotion under variations in scale, frequency, and duty cycle,  Journal of Mathematical Biology 83:56 (2021) PREPRINT, LINK

  3. T. Baldwin, N.A. Battista, Hopscotching Jellyfish: combining different duty cycle kinematics can lead to enhanced performance, Biosinspiration & Biomimetics 16(6): 066021 (2021) PREPRINT, LINK

  4. N.A. Battista, Book Review: Scale: The Universal Laws of Life, Growth, and Death in Organisms, Cities, and Companies, Journal of Undergraduate Mathematics and Its Applications, 42(2): 173-175 (2021)

  5. N.A. Battista, Diving into a simple anguilliform swimmer's sensitivity, Int. Comp. Biol. 60(5): 1236-1250 (2020) LINK (doi), LINK

              **  I want to thank the anonymous Reviewers for their very constructive, supportive feedback. I really                             appreciate your numerous quick reviews in the middle of a Pandemic. You really went above and                                                          beyond and really helped significantly strengthen this manuscript.**


  6. L.D. Waldrop, Y. He, N.A. Battista, T. Neary, L.A. Miller, Uncertainty quantification reveals the physical constraints on pumping by valveless, tubular hearts, J. Royal Society Interface 17: 20200232 LINK

  7. N.A. Battista, Swimming through parameter subspaces of a simple anguilliform swimmer, Int. Comp. Biol. 60(5): 1221-1235 (2020) LINK (doi) , LINK

    **  I want to thank the anonymous Reviewers for their very constructive, supportive feedback. I really                             appreciate your numerous quick reviews in the middle of a Pandemic. You really went above and                                                          beyond and really helped significantly strengthen this manuscript.**


  8. N.A. Battista, L.A. Miller, Bumps, Ridges, and No Flows in Vein, The Art of Theoretical Biology, eds:  F. Matthäus, S. Matthäus, S. Harris, Th. Hillen, 106-107 (2020) BOOK CHAPTER

  9. D.M. Senter, D.R. Douglas, W.C. Strickland, S. Thomas, A. Talkington, L.A. Miller, N.A. Battista, A Semi-Automated Finite Difference Mesh Creation Method for Use with Immersed Boundary Software IB2d and IBAMR, Bioinspiration and Biomimetics 16(1): 016008 (2021) LINK

  10. M. Mongelli, N.A. Battista, A Swing of Beauty: Pendulums, Fluids, Forces, and Computers, Fluids 5(2): 48 (2020) LINK

  11. N.A. Battista, suite-CFD: an array of fluid solvers written in MATLAB and Python, Fluids 5(1): 28 (2020) LINK

  12. N.A. Battista, Fluid-Structure Interaction for the Classroom: Interpolations, Hearts, and Swimming!, SIAM Review (SIREV) 63(1): 181-207 (2021) PREPRINT, LINK

  13. J.G. Miles, N.A. Battista, Naut Your Everyday Jellyfish Model: Exploring How Tentacles and Oral Arms Impact Locomotion, Fluids 4(3): 169 (2019) PREPRINT​, LINK

  14. N.A. Battista, L.B. Pearcy, W.C. Strickland, On modeling the prescription opioid epidemic, Bull. Math. Biol. 81(7):2258-2289 (2019) PREPRINT, LINK

  15. N.A. Battista, D.R. Douglas, A.N. Lane, L.A. Samsa, J. Liu, L.A. Miller, Vortex dynamics in embryonic trabeculated ventricles, J. Cardiovasc. Dev. Dis. 6(1): 6 (2019) PREPRINT​, LINK

  16. J.E. Samson, N.A. Battista, S. Khatri, L.A. Miller, "Pulsing Corals: a story of scale and mixing", BIOMATH 6(2): 1712169 (2017) PREPRINT, LINK

  17. N.A. Battista, J.E. Samson, S. Khatri, L.A. Miller, "Under the Sea: Pulsing Corals in Ambient Flow",  Math. Meth. Models Biosci., BIOMATH Forum, Sofia, 22-35 (2017) PREPRINT , LINK

  18. N.A. Battista, L.A. Miller, Bifurcations in valveless pumping techniques from a coupled fluid-structure-electrophysiology model of heart development, BIOMATH 6(2): 1711297 (2017), PREPRINT , LINK

  19. W.C. Strickland, L.A. Miller, A. Santhanakrishnan, C. Hamlet, N.A. Battista, V. Pasour, Three-dimensional low Reynolds number flows near biological filtering and protective layers, Fluids 2(4): 62 (2017) PREPRINT, LINK

  20. N.A. Battista, W.C. Strickland, A. Barrett, L.A. Miller, IB2d Reloaded: a more powerful Python and MATLAB implementation of the immersed boundary method, Math. Method. Appl. Sci. 41(18):8455-8480 (2018) PREPRINT, LINK

  21. N.A. Battista, A.N. Lane, J. Liu, L.A. Miller, Fluid Dynamics of Heart Development: Effects of Trabeculae and Hematocrit, Math. Med. and Biol. 35(4): 493-516 (2018), PREPRINT, LINK

  22. N.A. Battista, L.A. Miller, A fully-coupled fluid-structure-muscle-electrophysiology model in heart development, BIOMATH Communications Supplement 4(2) (2017)  LINK

  23. N.A. Battista, W.C. Strickland, L.A. Miller, IB2d:a Python and MATLAB implementation of the immersed, boundary method,, Bioinspiration and Biomimetics 12(3): 036003, PREPRINT, LINK

  24. N.A. Battista, A.N. Lane, L.A. Miller, On the dynamic suction pumping of blood cells in tubular hearts, Women in Mathematical Biology: Research Collaboration, 211-231 (2017). PREPRINT, BOOK CHAPTER

  25. N.A. Battista, A.J. Baird, L.A. Miller, A mathematical model and MATLAB code for muscle-fluid-structure simulations, Integ. Comp. Biol. 55(5): 901-911 (2015), LINK

  26. M. Mbonye, N.A. Battista, B. Farr, Time Evolution of a Nonsingular Primordial Black Hole, Int. J. Mod. Phys. D 21(3), 1250027 (2012), PREPRINT, LINK

  27. N.A. Battista, Introduction to Magnetohydrodynamics: A non-intimidating journey, Dept. of Mathematics, Stony Brook University, 2010, PDF

  28. N.A. Battista, A comparison of heroin epidemic models, School of Mathematical Sciences, RIT, 2009, LINK

  29. N.A. Battista, M.A. Radin, Monotonic and Periodic Character of solutions of the Rational Difference Equation $x_{n+1}=\frac{A_n X_{n-1}}{1 + X_n + X_{n-1}}$, School of Mathematical Sciences, RIT, 2008, PDF


  • N.A. Battista, Spectrally Accurate Initial Data in Numerical Relativity, Masters Thesis, Advisors: Anthony Harkin, David Ross, Joshua Faber, School of Mathematical Sciences, RIT, M.S. Thesis (2010) LINK

  • N.A. Battista, The Fluid Dynamics of Heart Development: The Effect of morphology on flow at several stages, Advisor: Laura A. Miller, Dept. of Mathematics, UNC-CH, Ph.D. Thesis (2017), PDF, LINK



  • N.A. Battista, M.S. Mizuhara, Fluid-Structure Interaction for the Classroom: Speed, Accuracy, Convergence, and Jellyfish!, in review PREPRINT

  • N.A. Battista, R. Handley, S.E. Handley, D.T. Rogers, C.M. Battista, That’s a bingo! On the PMFs and Expectation Values of Various Bingo Games, in preparation 

  • M. Williams, L. Waldrop, N.A. Battista, L.A.Miller, Computational model of the circulatory system of the juvenile tunicate, Ciona savignyi, in preparation 

  • N.A. Battista, R.J. Booth, Fluid-Structure Interaction for the Classroom: Dimensional analysis, scaling, and Jellyfish!, in preparation 


  • N.A. Battista, ODEs, PDEs, Linear Algebra, and that jazz. (Book, in preparation) PDF

  • L.A. Miller, R. Levy, N.A. Battista, A mathematical view of life in moving fluids. (Book, in preparation)

  • N.A. Battista, MAT/BIO 330: Mathematical Biology (Book, to complement the Math Bio course) PDF


Scientific Computing Notes: (Disclaimer: These notes are always being revised/added to as time allows. Please excuse any typos and formatting errors. That being said, they are being written to assist in graduate student preparation for their comprehensive exams in numerical analysis; however, they are not free or errors, yet. Eventually they will be compiled into a succinct book for teaching introductory scientific computing.)