School of Mathematics
University of Minnesota
206 Church Street
Minneapolis MN 55455
539 Vincent Hall
Mathematical modeling of biophysical systems.
Numerical and applied analysis, scientific computing.
Fall 2013: Math 8401
Y. Liu and Y. Mori, Properties of discrete delta functions and local convergence of the immersed boundary method, 2012, SIAM Journal of Numerical Analysis, in press. pdf
Y. Mori, Mathematical Properties of Pump-Leak Models of Cell Volume Control and Electrolyte Balance
2011, Journal of Mathematical Biology, in press. pdf
The published version in JMB contains a typographical error that was accidentally introduced by the publisher.
The publisher has agreed to re-publish the corrected version.
In the meantime, please download the paper from the link here or from the ArXiv.
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.