IPRPI & RPI Logos Inverse Problems Center

Joyce McLaughlin

David Isaacson

Antionette Maniatty

Assad Oberai

Steven Roecker

Birsen Yazici

Mourad Zeghal

Research Scientists


Center Participants

David Isaacson
Professor of Mathematical Sciences
Rensselaer Polytechnic Institute

Ph.D. New York University
Medical Imaging, Mathematical physics

Research Areas:
Professor Isaacson works in two areas: mathematical physics and medical imaging.

 His work in mathematical physics has centered on the development of methods for approximating energy levels, particle masses, and critical exponents in quantum mechanics, quantum field theory, and statistical mechanics.
 His work in medical imaging has centered on the development of algorithms and devices for measuring and displaying the electrical state of the interior of a body from measurements made on the body's exterior.
 The long term goal of this research is to improve the diagnosis and treatment of heart disease and cancer.

Selected Publications:


Taoran Li; Isaacson, D.; Newell, J.C.; Saulnier, G.J., "Adaptive Techniques In Electrical Impedance Tomography Reconstruction, Physiological Measurement, v 35, n6, p 1111-1124, 2014.


Taoran Li; Tzu-Jen Kao; Isaacson, D.; Newell, J.C.; Saulnier, G.J., "Adaptive Kaczmarz method for image reconstruction in electical tomography, Physiological Measurement, v 34, n6, p 595-608, June 2013.

Muller, P.A.; Isaacson, D.; Newell, J.C.; Saulnier, G.J, "Caleron's Method on an Elliptical Domain, Physiological Measurement, v 34, n6, p 609-22, June 2013.


Roe-Dale, R., Isaacson, D. and Kupferschmid, M., "A Mathematical Model of Cell Cycle Effects in Gastric Cancer Chemotherapy, Bulletin of Mathematical Biology,74(1): 159-174, 2012.


Eladdadi, A., and Isaacson, D., "A Mathematical Model for the Effects of HER2 Over-Expression on Cell Cycle Progression in Breast Cancer," Bulletin of Mathematical Biology, 73(12): 2865-87, 2011.


Ardrey, D. B.,  Murphy, E. K., Isaacson, D., Saulnier, G. J. and Newell, J. C. An iterative FEM reconstructor for the mammography geometry,International Conference on Electrical Bioimpedance. IOP Publishing. Journal of Physics: Conference Series 224 (2010) 012055.

Kulkarni ,R., Kao, T-J., Boverman, G., Saulnier , G. J., Isaacson, D., Szabo, T. L.  and Newell, J. C. A hand-held probe for combined ultrasound and electrical impedance tomography. International Conference on Electrical Bioimpedance IOP Publishing Journal of Physics: Conference Series 224(2010) 012043.

Murphy, E.K., Isaacson, D., Saulnier, G.J., Newell, J.  Analysis of forward solvers for electrical impedance tomography in a mammography geometry. International Conference on Electrical Bioimpedance IOP Publishing . Journal of Physics: Conference Series 224 (2010) 012033.

Roe-Dale, R., Isaacson, D., Kupferschmidt, M. A mathematical Model of Breast Cancer Treatment with CMF and Doxorubicin. Bulletin Of Math Biology. June 2010, 73: pp 585–608.


Kulkarni, R., T-J. Kao, G. Boverman, D. Isaacson, G. J. Saulnier, and J.C. Newell. A two-layered forward model of tissue for electrical impedance tomography.  Physiol Meas 30:S19-S34, 2009.PMID: 1949 1444.

Boverman, G., T-J.Kao, D. Isaacson and Gary J Saulnier. An Implementation of Calderon’s Method for 3-D Limited-View EIT. IEEE Trans. Medical Imaging 28(7): 1073-1082, 2009.  PMID: 1916 4077.

Boverman, G, D. Isaacson, G.J. Saulnier and J.C. Newell.  Methods for compensating for Variable Electrode Contact in EIT. IEEE Trans. Biomed. Eng.  56(12):2762-2772, 2009.  PMID: 1962 8445

Tamma, C., G. J. Saulnier, M. H. Choi, D. Isaacson and J. C. Newell. Desired current pattern generation using adaptive voltage sources in ACT 4. Proc. 10th Int’l Conf. on Biomedical Applications of Electrical Impedance Tomography 16-19 June, 2009.  Manchester, UK.

Samuel A. Isaacson, David Isaacson. Reaction-diffusion master equation, diffusion-limited reactions, and singular potentials. PHYSICAL REVIEW E 80, 066106 2009


Choi, M.H., Kao, T-J., Isaacson, D., Saulnier, G., and Newell., J. "An Algorithm for Applying Multiple Currents Using Voltage Sources in Electrical Impedance Tomography. Int. J. Control, Automation, and Systems".  6(4):613-619, 2008

Eladdadi, A. and Isaacson, D. "A Mathematical Model for the effects of Over Expression of Her2 on Cell Proliferation in Breast Cancer". Bull. Math. Biology. 70: 1710-1729. 2008.

Kao, T-J., Boverman, G., Kim, B. S., Isaacson, D., Saulnier, G. J., Newell, J. C.
Choi, M. H., Moore, R. H. and Kopans, D. B." Regional Admittivity Spectra with Tomosynthesis Images for Breast Cancer Detection: Preliminary Patient Study".  IEEE Trans. Medical Imaging 27(12):1762-1768, 2008

Kao, T.J., Saulnier, G. J., Isaacson, D., Szabo, T. L. and Newel, J.C. "A Versatile High Permittivity Phantom for EIT". IEEE Trans. Biomed. Eng. 55(11):2601-2607, 2008

Tamma, C., Saulnier, G., Kao, T.J., Newell, J.,and Isaacson, D. "Array and Cable Compensation for using ACT4 with Radiolucent Electrode Arrays". Research and industrial collaboration Conference of the Gordon Center for Sub-surface and Imaging Systems at Northeastern University, Boston, Oct 29, 2008


Isaacson, D., Mueller, J. L., Newell, J. C., Siltanen, S. Imaging cardiac activity by the D-bar method for electrical impedance tomography, Physiological Measurement, Vol. 27(5), pp. S43-S50, 2006


Isaacson, D., Mueller, J., Newell, J. C. and Siltanen, S. D-Bar Images of Cardiac Activity, Proc. 6th Conf. on Biomedical Applications of EIT, London, 2005.

Contact Information:
David Isaacson
Department of Mathematical Sciences
328 Amos Eaton Hall
Rensselaer Polytechnic Institute
110 Eighth Street
Troy, N.Y. 12180
(518) 276-6900





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