Yoichiro Mori

Associate Professor

School of Mathematics
University of Minnesota
206 Church Street
Minneapolis MN 55455

539 Vincent Hall
tel: (612)625-3570
email: ymori@math.umn.edu

CV: pdf


Research Interests

Mathematical modeling of biophysical systems.
Numerical and applied analysis, scientific computing.


Teaching

Spring 2016
Math 8402
Office hours: MF10-11am or by appointment


Publications

Y. Mori and H. Matano Stability of Front Solutions of the Bidomain Equation
Communications on Pure and Applied Mathematics, in press, 2015. pdf

Y. Li, Y. Mori and S. Sun Flow-driven cell migraion under external electric fields
Physical Review Letters, in press 2015.

A. Stinchcombe, Y. Mori and C.S. Peskin Well-Posed Treatment of Space-Charge Layers in the Electroneutral Limit of Electrodiffusion
Communications on Pure and Applied Mathematics, in press, 2015.

Y. Mori A multidomain model for ionic electrodiffusion and osmosis with an application to cortical spreading depression
Physica D, Nonlinear Phenomena, 308, 94-108, 2015. pdf

N. Wei, Y. Mori, and E.G. Talkacheva, The role of short term memory and conduction velocity restitution in alternans formation
Journal of Theoretical Biology, 367, 21-28, 2015.

T. Fai, B Griffith, Y. Mori and C.S. Peskin, Immersed Boundary Method for Variable Viscosity and Variable Density Problems Using Fast Constant-Coefficient Linear Solvers II: Theory
SIAM. J. Sci. Comput., 36, B589-B621, 2014. pdf

H. Chen, M.C. Calderer and Y. Mori, Analysis and Simulation of a model of polyelectrolyte gel in one spatial dimension
Nonlinearity, 27, 1241-1285, 2014.pdf

Stephen D. McIntyre, Virendra Kakade, Yoichiro Mori, Elena G. Tolkacheva, Heart rate variability and alternans formation in the heart: the role of feedback in cardiac dynamics
Journal of Theoretical Biology, 350, 90-97, 2014. pdf

Y. Liu and Y. Mori, L^p convergence of the Immersed Boundary Method
SIAM. J. Num. Anal., 52, 1, 496-514, 2014. pdf

T. Fai, B Griffith, Y. Mori and C.S. Peskin, Immersed Boundary Method for Variable Viscosity and Variable Density Problems Using Fast Constant-Coefficient Linear Solvers I: Numerical Method and Results
SIAM. J. Sci. Comput., 35, B1132-B1161, 2013.pdf

Y. Mori, H. Chen, C. Micek and M.C. Calderer, A dynamic model of polyelectrolyte gels
SIAM Journal of Applied Mathematics, 73, 104-133, 2013. pdf

Y. Liu and Y. Mori, Properties of discrete delta functions and local convergence of the immersed boundary method
SIAM Journal of Numerical Analysis, 50, 2986-3015, 2012. pdf

Y. Mori, Mathematical Properties of Pump-Leak Models of Cell Volume Control and Electrolyte Balance
Journal of Mathematical Biology, Vol. 64, No. 5, p873-916, 2012, Erratum, ibid. pdf
(Typographical errors introduced by publisher corrected in Erratum.)

Y. Mori, C. Liu and R.S. Eisenberg, A Model of Electrodiffusion and Osmotic Water Flow and its Energetic Structure
Physica D: Nonlinear phenomena, 240, 1835-1852, 2011. pdf

Y. Mori, A. Jilkine and L. Edelstein-Keshet, Asymptotic and bifurcation analysis of wave-pinning in a reaction-diffusion model of cell polarization
SIAM J. Appl. Math. 71, 1401-1427, 2011. pdf

H. Matano and Y. Mori, Global existence and uniqueness of a three-dimensional model of cellular electrophysiology
Discrete and Continuous Dynamical Systems (DCDS-A), Vol. 29, No. 4, 1573-1636, 2011. pdf

M. Brera, J.W. Jerome, Y. Mori and R. Sacco, A Conservative and monotone mixed-hybridized finite element approximation of transport problems in heterogeneous domains
Computer Methods in Applied Mechanics and Engineering, Vol. 199, 2709-2720, 2010. pdf

Y. Mori and C.S. Peskin. A Numerical Method for Cellular Electrophysiology based on the Electrodiffusion Equations with Internal Boundary Conditions at Internal Membranes
Communications in Applied Mathematics and Computational Science Vol 4, No. 1, 85-134, 2009. pdf

Y. Mori and C.S. Peskin. A universal programmable fiber architecture for the representation of a general incompressible linearly elastic material as a fiber-reinforced fluid
Advances in Applied Mathematics Volume 43, No. 1, pp. 75-100, July 2009. pdf

Y. Mori, G.I. Fishman and C.S. Peskin. Ephaptic conduction in a cardiac strand model with 3D electrodiffusion.
Proc. Natl. Acad. Sci., Vol. 105, No. 17, pp. 6463-6468, 2008. pdf

Y. Mori, A. Jilkine and L. Keshet. Wave-pinning and Cell Polarity from a Bistable Reaction-diffusion System
Biophysical Journal, Vol. 94, 3684-3697, 2008. pdf

Y. Mori. Convergence Proof of the Velocity Field for a Stokes Flow Immersed Boundary Method
Communications on Pure and Applied Mathematics, Vol. 61, no. 9, pp. 1213-1263, 2008. pdf

Y. Mori and C.S. Peskin. Implicit Second Order Immersed Boundary Methods with Boundary Mass
Computational Methods in Applied Mechanics and Engineering, Vol. 197, pp. 2049-2067, Apr. 2008. pdf

Y. Mori, J.W. Jerome and C.S. Peskin. A Three-Dimensional Model of Cellular Electrical Activity
Bulletin of the Institute of Mathematics, Academia Sinica Volume 2, No.2. pp. 367-390, Jun. 2007. pdf

Y. Mori and M. Nakazawa. A New Simple Etiological Model of Human Death
Jinkougaku Kenkyuu (The Journal of Population Studies) (33) Nov. 2003.

Dissertation:
Y. Mori. A Three Dimensional Model of Cellular Electrical Activity pdf