MICHAEL I. MILLER, PhDDirector of Department of Biomedical Engineering and

Director of the Center for Imaging Science in the Whiting School of EngineeringJohns Hopkins University

Computational Anatomy and Diffeomorphometry: A Dynamical Systems Model of Neuroanatomy in

the Soft Condensed Matter ContinuumThe non-linear systems models of Computational Anatomy (CA) that have emerged over the past several decades are a synthesis of three signicant areas of computational science and biological modelling. First is the algebraic model of biological shape as a Riemannian orbit, a set of objects under diffeomorphic action. SSecond is the embedding of anatomical shapes into the soft condensed matter physics continuum via the extension of the Euler equations to smooth ows with inverses which encode divergence for the compressibility of atrophy and the expansion of growth.Third, is making human shape and form a metrizable space via geodesic connections of coordinate systems.

TThese three themes places CA into the modern data science world of personalized medicine supporting inference of high-dimensional anatomical phenotypes from imagery for studying neurodegeneration and neurodevelopment.The dynamical systems model of growth and atrophy that emerges is one which is organized in terms of forces, accelerations, velocities, and displacements, with the associated Hamiltonian momentum and the diffeomorphic ow acting as the state, and the smooth vector eld the control. TThe forces that enter the model derive from external dense imaging measurements through which the dynamical system must ow, and the internal potential energies of structures making up the soft condensed matter.We examine examples associated to neurodegeneration in the BIOCARD project for Alzheimer's disease and the PREDICT project in Huntington's disease.

Tuesday, September 2612:00 p.m.West Campus Conference Center, Room 218Lunch will be provided

Contact: meredith.morrow@yale.edu