Bioinspiration Lab

--> denotes undergraduate co-author

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PUBLISHED: (reverse numerical order...)

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1. N.A. Battista, A.P. Hoover, M.K. Santiago, Using machine-learning and CFD to understand biomechanics of marine organisms, to appear in the next volume of Foundations for Undergraduate Research in Mathematics

2. S.H. Haber, N.A. Battista, C.T. Wagner, A Mathematical Model of Wound Healing Incorporating Strain-Induced MSC Differentiation, Annals of Biomedical Engineering (2025) LINK

3. N.A. Battista, Exploring the swimming performance and the physical mechanisms of Tomopteris locomotion, Bioinspiration & Biomimetics 20(2):026011 (2025) LINK

4. Z. Main, L.A. Miller, N.A. Battista, Ratcheting Fluid Pumps: using generalized polynomial chaos expansions to assess pumping performance and sensitivity, Physics of Fluids 36: 121919 (2024) LINK

5. Y. He, N.A. Battista, L.D. Waldrop, Mixed uncertainty analysis on pumping by peristaltic hearts using Dempster–Shafer theory, Journal of Mathematical Biology, 89:13 (2024) LINK

6. CL. Hamlet, W.C. Strickland, N.A. Battista, L.A. Miller, Multiscale flow between the branches and polyps of gorgonians, Journal of Experimental Biology (2023) LINK

7. W.C. Strickland, N.A. Battista, C.L. Hamlet, L.A. Miller, Planktos: An agent-based modeling framework for small organism movement and dispersal in a fluid environment with immersed structures, Bulletin of Mathematical Biology 84:72 (2022) LINK

8. N.A. Battista, M.G. Gaddam, C.L. Hamlet, A.P. Hoover, L.A. Miller, A. Santhanakrishnan, The Presence of a Substrate Strengthens The Jet Generated by Upside-Down Jellyfish, Frontiers in Marine Science 9:847061 (2022) LINK

9. M. Santiago, N.A. Battista, L.A. Miller, S. Khatri, Passive concentration dynamics incorporated into the library IB2d, a two-dimensional implementation of the immersed boundary method, Bioinspiration & Biomimetics 17: 036003 (2022) LINK

10. 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

11. 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

12. 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)

13. 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.**
     

14. 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

15. 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.**
     

16. 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

17. 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

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

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

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

21. 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

22. 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

23. 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

24. 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

25. 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

26. 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

27. 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

28. 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

29. 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

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

31. 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

32. 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

33. 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

34. 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

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

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

37. 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

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THESES:

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• 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​

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