(Bio-Inspired Computation and Experiments)
B.I.C.E.P. Lab
Meet the Lab!
IB2d!
N.A. Battista, Fluid-Structure Interaction for the Classroom: Interpolations, Hearts, and Swimming!, in press 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
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
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
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.)
Nonlinear Equations and Root-Finding
Stencils (function approximation, numerical differentiation and integration)
Numerical Eigenvalues
"Holy Grail"
An array of fluid solver codes, including Projection, Pseudo-Spectral (FFT), Lattice Boltzmann, and the Panel Method written in MATLAB.
"IB2d"
An easy to use immersed boundary method in 2D, with multiple options for fiber-structure models with possible porosity, advection-diffusion, and/or artificial forcing written in both MATLAB and Python.
"Sankara Stones"
An array of codes for solving nonlinear elliptic PDEs and advection-diffusion equations using Chebyshev pseudo-spectral methods written in MATLAB.
"The Ark"
An array of codes used for teaching various aspects of numerical analysis, covering Interpolation, Quadrature, basic ODE solves and Spectral solvers, as well as Monte Carlo methods writtein in MATLAB.
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.
Other Repositorites:
"Grail Tablet"
A collection of scripts in both MATLAB and Python 3.5 for printing simulation data (points, scalar, vector, etc) to VTK formats to visualize in Paraview or VisIT
"Peacocks Eye"
Books, notes, and mathematical/scientific writings in progress, covering mathematical methods to numerical analysis.
© 2019 by Nicholas A. Battista