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 2018
Math 8402


Publications

Y. Mori, A. Rodenberg and D. Sprin, Well-posedness and global behavior of the Peskin problem of an elastic filament in Stokes flow
accepted, Communications in Pure and Applied Mathematics. pdf

L. Yao and Y. Mori, A numerical method for osmotic water flow and solute diffusion with deformable membrane boundaries in two spatial dimension
Journal of Computational Physics, 350, 728-746, 2017. pdf

L. Yao, M.C. Calderer, Y. Mori and R. Siegel, Rhythmogenic Drug Delivery: Modeling, Analysis and Numerical Simulation
SIAM Journal of Applied Mathematics, 77(2), 565-592, 2017. pdf

Rosemary O'Connell and Y. Mori Effects of Glia in a Triphasic Continuum Model of Cortical Spreading Depression
Bulletin of Mathematical Biology, 78 (10), 1943-1967, 2016. pdf

N. Wei, Y. Mori and E.G. Talkacheva, The dual effect of ephaptic coupling on cardiac conduction with heterogeneous expression of connexin 43
Journal of Theoretical Biology, 397, 103-114, 2016. pdf

Y. Mori and H. Matano Stability of Front Solutions of the Bidomain Equation
Communications on Pure and Applied Mathematics, 69(12), 2364-2426, 2016. pdf

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, 69, 2221-2249, 2016. pdf

Y. Li, Y. Mori and S. Sun Flow-driven cell migraion under external electric fields
Physical Review Letters, 115(26), 268101, 2015. pdf

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. 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 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