Kui Ren |
Research |

Publications:

·
An implicit
boundary integral method for computing electric potential of macromolecules in
solvent (with R. Tsai and Y. Zhong), *Preprint, *2017.
[pdf].

·
Surface
effects in dense random graphs with sharp edge constraint (with C. Radin and L. Sadun), *Preprint,
*2017. [pdf].

·
Quantitative
photo-acoustic imaging of two-photon absorption, (with P. Bardsley
and R. Zhang), *Submitted*, 2017. [pdf].

·
A global
stability estimate for the photo-acoustic inverse problem in layered media,
(with F. Triki), *Submitted*, 2017. [pdf].

·
The phases of
large networks with edge and triangle constraints, (with R. Kenyon, C. Radin and L. Sadun), *J. Phys.
A: Math. Theor.*, 50, 435001, 2017. [pdf].

·
A symmetry
breaking transition in the edge/triangle network model (with C. Radin and L. Sadun), *Submitted*,
2016. [pdf].

·
A fast
algorithm for radiative transport in isotropic media (with R. Zhang and Y. Zhong), *Submitted*, 2016. [pdf].

·
Nonlinear
quantitative photoacoustic tomography with two-photon absorption (with R.
Zhang), *SIAM J. Appl. Math*, In Press, 2017. [pdf].

·
Numerical
algorithms based on Galerkin methods for the modeling
of reactive interfaces in photoelectrochemical (PEC)
solar cells (with M. Harmon and I. M. Gamba), *J. Comput. Phys.*, 327, 140-167, 2016. [pdf
]

·
Inverse
transport problems in quantitative PAT for molecular imaging (with R. Zhang and Y. Zhong),
*Inverse Problems,* 31, 125012,
2015. [pdf].

·
Bipodal structure in
oversaturated random graphs (with R. Kenyon, C. Radin
and L. Sadun), *Int. Math. Res. Notices*, 2016,
1-36, 2016. [pdf].

·
A one-step
reconstruction algorithm for quantitative photoacoustic imaging (with T. Ding
and S. Vallelian), *Inverse Problems*, 31,
095005, 2015. [pdf]. This paper was selected as by Inverse
Problems as one of the papers in its collection: Highlight
of 2015

·
Multipodal Structure
and Phase Transitions in Large Constrained Graphs (with R. Kenyon, C. Radin and L. Sadun), *J. Stat.
Phys., *168, 233-258*, *2017. [pdf]

·
The asymptotics of large constrained graphs (with C. Radin and L. Sadun), *J. Phys. A: Math. Theor.*
47**,** 175001*, *2014. [pdf]. One figure in the paper appears on the cover of the
journal.

·
Quantitative
photoacoustic imaging in the radiative transport regime (with A. Mamonov), *Commun**. Math.
Sci.,* 12, 201-234, 2014. [pdf]

·
Quantitative
fluorescence photoacoustic tomography (with H. Zhao), *SIAM J. Imag. Sci.*, 6, 2404-2429, 2013. [pdf].

·
Inverse
transport calculations in optical imaging with subspace optimization algorithms
(with T. Ding), *J. Comput. Phys., *273,
212-226, 2014 [pdf].

·
On the
modeling and simulation of reaction-transfer dynamics in
semiconductor-electrolyte solar cells (with Y. He, I. M. Gamba
and H. Lee), *SIAM J. Appl. Math.,* 75,
2515-2539, 2015. [pdf].

·
A hybrid
reconstruction method for quantitative PAT (with H. Gao and H. Zhao), *SIAM
J. Imag. Sci.*, 6, 32-55, 2013. [pdf]

·
On
multi-spectral quantitative photoacoustic tomography (with G. Bal), *Inverse Problems*, 28, 025010,
2012. [pdf]. This paper was selected as a featured article by
Inverse Problems and included in its Highlight
of 2012 collection.

·
Quantitative
Thermo-acoustics and related problems (with
G. Bal, G. Uhlmann and T. Zhou), *Inverse Problems*,
27, 055007, 2011. [pdf].

·
Multiple-source
quantitative photoacoustic tomography (with
G. Bal), *Inverse Problems*, 27, 075003, 2011. [pdf]. Read the news about
this paper from Inverse Problems.

·
Non-uniqueness
result for a hybrid inverse problem (with
G. Bal), *Contemporary Mathematics*, 559, 29-38, 2011. [pdf].

·
Recovering
doping profiles in semiconductor devices with the Boltzmann-Poisson model (with
Y. Cheng and I. M. Gamba), *J. Comput.
Phys.,* 230, 3391-3412, 2011*.*
[pdf].

·
Recent
development in numerical techniques for transport-based medical imaging
methods, *Commun**. Comput.
Phys., *8, 1-50, 2010*.* [pdf].

·
Parametric
image reconstruction using the discrete cosine transform for optical tomography
(with X. Gu, J. Masciotti and A. H. Hilescher), *J.
Biomed. Opt., *14, 064003, 2009*.* [pdf].

·
Physics-based
models for measurement correlations. Application to an inverse Sturm-Liouville problem (with
G. Bal), *Inverse Problems, *25, 055006, 2009*.* [pdf.

·
Transport-based
imaging in random media (with G. Bal),
*SIAM Applied Math., *68, 1738-1762, 2008 *.*
[pdf].

·
Experimental
validation of a transport-based imaging method in highly scattering
environments (with G. Bal, L. Carin and D. Liu), *Inverse Problems, *23, 2527-2539,
2007*. * [pdf].

·
Transport- and
diffusion-based optical tomography in small domain: A comparative study (with G. Bal and A. H. Hilescher),
*Applied Optics, *46, 6669-6679, 2007*.* [pdf].

· Frequency-domain sensitivity analysis for small imaging domains using the equation of radiative transfer (with X. Gu and A. Hielscher), Appl. Optics, 46, 1624-1632, 2007. [pdf].

·
Frequency
domain optical tomography based on the equation of radiative transfer (with G.
Bal and A. H. Hielscher), *SIAM J. Sci. Comput., *28, 1463-1489, 2006*.* [pdf].

·
Reconstruction
of singular surfaces by shape sensitivity analysis and level set method (with G. Bal), Math. Models Methods Appl. Sci.
(M3AS)*, *16, 1347-1373, 2006*.* [pdf].

· Inverse Problems in Transport and Diffusion Theory with Applications in Optical Tomography, PhD thesis, Columbia University, New York, 2006. [pdf].

·
Optical
tomographic imaging as a PDE-constrained optimization problem (with G. Abdoulaev and A.
H. Hielscher), *Inverse Problems, *21,
1507-1530, 2005. [pdf].

·
Atmospheric
concentration profile reconstructions from radiation measurements (with G. Bal), *Inverse Problems, *21,
153-168, 2005. [pdf].

·
Frequency-domain
tomography in small animals with the equation of radiative transfer (with B.
Moa-Anderson, G.~Bal, X.~Gu,
and A. H. Hielscher), *Optical Tomography and
Spectroscopy of Tissue VI *(Edited by B. Chance, R. R. Alfano,
B. J. Tromberg, M. Tamura, and E. M. Sevick-Muraca), 111-120. SPIE, 2005, __[pdf]__.

·
Algorithm for solving the equation of radiative transfer in the
frequency domain (G. S. Abdoulaev, G. Bal and A. H. Hilescher),
*Optics Lett., *29, 578-580, 2004*.* [pdf].

·
Generalized
diffusion model in optical tomography with clear layers (with G. Bal), *J. Opt. Soc. Am. A, *20,
2355-2364, 2003*.* [pdf].

·
The most intensive
fluctuation in chaotic time series and relativity principle (with S-D Liu, S-K Liu and Z-T Fu), *Chaos
Soliton Fract., *15, 627-630, 2003. [pdf].

·
Hierarchical
similarity in an inhomogeneous turbulent wake flow behind multi-rectangular
pillars (with Z. Zou et al), *Acta** Mechanica Sinica,* 35, 519-523, 2003. [pdf].

·
Scaling
equation for invariant measure (with S-K Liu, Z-T Fu and S-D Liu), *Commun**. Theor. Phys.,*
39, 295-296, 2003. [pdf].

·
Several
problems in the studying of nonlinear dynamics: A review (with S-D Liu, S-K Liu, S. Liang and Z-T Fu ), *Prog**. Nat. Sci., *12,
1-7, 2002. [pdf].

·
The homoclinic orbit solution for functional equation (S-D Liu, Z-T Fu and S-K Liu), *Commun**.
Theor. Phys.,* 38, 553-554, 2002. [pdf].

·
Multi-scaling
hierarchical structure analysis on the sequence of E-coli complete genome
(with J. Wang, Q. Zhang and Z-S She), *Chinese
Sci. Bull.,* 46, 1988-1992, 2001. [pdf].

·
Scalings and
structures in turbulent Couette-Taylor flow (with Z-S She, G. S. Lewis and H. L. Swinney), *Phys. Rev. E, *64, 016308, 2001. [pdf].

·
Hierarchical
structure analysis of multi-scale fluctuations from highly nonlinear physical
systems, Master Thesis, Peking University, Beijing, 2001. [pdf].