B.I.C.E.P. Lab

PUBLICATIONS

PUBLISHED:

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• 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, A comparison of heroin epidemic models, School of Mathematical Sciences, RIT, 2009, LINK

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

• 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, 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

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

• 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, 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

• 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

• 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, 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

• 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

• 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

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THESIS:

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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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IN PREPARATION/REVIEW:

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• N.A. Battista, Fluid-Structure Interaction for the Classroom: Interpolations, Hearts, and Swimming!, in review  PREPRINT

• 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

• 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, in review 

• N.A. Battista, suite-CFD: an array of fluid solvers written in MATLAB and Python, in review 

• 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 Including IB2d and IBAMR, in review

• M. Mongelli, N.A. Battista, Spin me `round: fluid-structure interaction and forces!, in preparation

• 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

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TEXTBOOKS IN PREPARATION:

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• 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)

OPEN SOURCE CODES!

Scientific Computing Codes: Nick is the sole contributor for a variety of codes, which can be used for research, teaching, or recreational and fun purposes. They are all available at his github site (click here!). Below are short descriptions of each of the repositories there and what each has.