Publications

PUBLICATIONS

--> denotes undergraduate co-author

PUBLISHED: (reverse numerical order...)

N.A. Battista, Diving into a simple swimmer's sensitivity, accepted Integrative and Comparative Biology
** 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.**
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
N.A. Battista, Swimming through parameter subspaces of a simple anguilliform swimmer, accepted Integrative and Comparative Biology
** 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.**
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
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, accepted Bioinspiration and Biomimetics
M. Mongelli, N.A. Battista, A Swing of Beauty: Pendulums, Fluids, Forces, and Computers, Fluids 5(2): 48 (2020) LINK
N.A. Battista, suite-CFD: an array of fluid solvers written in MATLAB and Python, Fluids 5(1): 28 (2020) LINK
N.A. Battista, Fluid-Structure Interaction for the Classroom: Interpolations, Hearts, and Swimming!, accepted and in production with SIAM Review (SIREV) PREPRINT
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
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
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
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
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
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
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
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
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
N.A. Battista, L.A. Miller, A fully-coupled fluid-structure-muscle-electrophysiology model in heart development, BIOMATH Communications Supplement 4(2) (2017) LINK
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
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
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
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
N.A. Battista, Introduction to Magnetohydrodynamics: A non-intimidating journey, Dept. of Mathematics, Stony Brook University, 2010, PDF
N.A. Battista, A comparison of heroin epidemic models, School of Mathematical Sciences, RIT, 2009, LINK
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

THESIS:

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

IN PREPARATION/REVIEW:

N.A. Battista, M.S. Mizuhara, Fluid-Structure Interaction for the Classroom: Speed, Accuracy, Convergence, and Jellyfish!, in review PREPRINT
J. Miles, N.A. Battista Don't be jelly: exploring Effective jellyfish locomotion, 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 for the Recreational Mathematics Journal.
M. Williams, L. Waldrop, N.A. Battista, L.A.Miller, Computational model of the circulatory system of the juvenile tunicate, Ciona savignyi, in preparation to be submitted to to J. Exp. Biol.
N.A. Battista, R.J. Booth, Fluid-Structure Interaction for the Classroom: Dimensional analysis, scaling, and Jellyfish!, in preparation for Letters in Biomathematics

TEXTBOOKS 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)

SCIENTIFIC COMPUTING NOTES

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.)