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Congratulations to Dr. Jennifer Mueller
(College of Natural Sciences, Mathematics, Fall 2012, Newsletter)

"Congratulations to Jennifer Mueller, a CSU Professor in Mathematics and Biomedical Engineering, and Samuli Siltanen, a Professor of Industrial Mathematics at the University of Helsinki, Finland, and a senior scientist in the Centre of Excellence in Inverse Problems Research, on their recently published textbook. The textbook title, Linear and Nonlinear Inverse Problems with Practical Applications, will be available through SIAM beginning October 26, 2012." [Math pdf format]

Book Description: Inverse problems arise in practical applications whenever there is a need to interpret indirect measurements. This book 1) explains how to identify ill-posed inverse problems arising in practice and how to design computational solution methods for them; 2) explains computational approaches in a hands-on fashion, with related codes available on a website; 3) serves as a convenient entry point to practical inversion.
The guiding linear inversion examples are the problem of image deblurring, x-ray tomography, and backward parabolic problems, including heat transfer, and electrical impedance tomography is used as the guiding nonlinear inversion example. read more [SIAM]

(Dept. of Math. Fall Newsletter 2011, vol.5, issue 5)

"The members of the EIT lab have been studying circuits and their components. A recent project in the lab was to build pulse oximeters, which measure blood-oxygen levels using an infrared sensor applied to the subject's finger. PhD student Michelle Mellenthin of the School of Biomedical Engineering has been leading the circuit labs. While the mathematics of circuit analysis is not deep, it is important to understand the hardware components of the electrical impedance tomography (EIT) system that measures the data for the reconstruction algorithm. EIT is a technology with applications in medical imaging, industrial processing, and geophysics in which the electrical properties of a medium are recovered ..." read more [Math pdf]

Dr. Jennifer Mueller Promotion to Full Professor
(Dept. of Math. Summer Newsletter 2011)

"Dr. Jennifer Mueller was promoted to Full Professor, effective July 1, 2011. Dr. Mueller received her Ph.D. in 1997 in Mathematics and Statistics at the University of Nebraska-Lincoln. From 1997-2000 she was an NSF Postdoctoral Fellow at Rensselaer Polytechnic Institute. Dr. Mueller joined the Mathematics Department at Colorado State in 2000, receiving tenure in 2005. She has been a core faculty member of the School of Biomedical Engineering since its inception in 2007. Dr. Mueller's research interests include inverse problems, electrical impedance tomography, integrable systems and PDE's. Recently, Dr. Mueller founded the EIT lab at CSU. She has mentored and advised numerous graduate students, 6 graduating with an MS degree and 3 completing their Ph.D. She currently advises 6 Ph.D. students and ..." read more [Math pdf]

Mathematician Develops Solutions for Heart and Lung Patients
(BioMed October 2007; Math Summer 2008)

"Each day at the Electrical Impedance Tomography Laboratory in the Department of Mechanical Engineering at the University of São Paulo (USP), Brazil, physicians and engineers, graduates and undergraduates are working together to advance a technique for heart and lung imaging from electric fields. In spring 2007, USP was also the sabbatical home to CSU mathematics professor Jennifer Mueller.
Electrical impedance tomography (EIT) is a relatively new imaging technique in which electrodes are placed on the surface of the body, a low-amplitude current is applied on the electrodes, and the resulting voltages are measured. An inverse problem is solved to determine the conductivity distribution in the body, and the results are plotted to form an image. The resolution of the image is very poor compared to that of an MRI or CT scan. However, ..." read more [BioMed pdf] or [similar Math pdf]

Biomedical Applications of Electrical Impedance Tomography
(May 2003, Physiological Measurement, Vol.24, No.2)

"Electrical Impedance Tomography (EIT), the imaging of internal structure from external electric measurements, is a challenging problem. Designing and building high-precision measurement hardware for this error-sensitive modality requires state-of-the-art electrical engineering. The mathematical problem of reconstructing the image of unknown electrical parameter distributions from measured data is very complicated since the problem is nonlinear and ill-posed. And finally, the interpretation of the resulting images in medical, geophysical or industrial applications is not yet fully understood and needs application-oriented research.
The First Mummy Range Workshop on Electrical Impedance Tomography (see www.eitworkshop.org) was held during 1-7 August 2002, at the Pingree Park of Colorado State University at an altitude of 9000 feet. The monumental Rocky Mountains created an exhilarating atmosphere for the 60 participants of the meeting. This Workshop was part of a series of meetings in EIT, the first of which was held in Sheffield, UK, in 1986 under the sponsorship of the European Community. Since then meetings have been held nearly annually in the UK, but this was the first to be held in the US. Papers from many of the previous meetings, including those held during 1999, 2000 and 2001, have been published in special issues of Physiological Measurement.
The mixed audience in the Mummy Range Workshop consisted of experts in electrical engineering, mathematics, physics, medicine and geophysics. ..." read more [html] or [pdf]

CSU researcher helps refine MRI of the future
(2003, Coloradoan)

"As Jennifer Mueller tweaks the algorithms on her computer in her office in Colorado State University's Weber Building, she sits on the edge of a new medical frontier.
Someday, perhaps even in this decade, EIT will roll off patients' lips the way MRI and X-ray do today.
EIT, or electrical impedance tomography, is a new imaging technology that, once perfected, will be cheaper, offer long-term patient monitoring and require no radiation or invasiveprocedures, said Mueller, 33, a CSU assistant professor of mathematics.
The system, as small as a handheld computer and wires, soon might be standard monitoring equipment on ambulances, ..." read more [html]

CSU Hosts World's Leading Scientists in EIT, a Novel Medical Imaging Technology
(July 29, 2002)

"FORT COLLINS - Electrical impedance tomography is an innovative imaging technology that is improving the way medical procedures are conducted and could eliminate the need for many painful, invasive, radioactive or expensive diagnostic procedures. Colorado State University is hosting the world's leading researchers in this field for the inaugural Mummy Range Workshop in Electrical Impedance Tomography August 1-7 at the school's main campus and at its Pingree Park Campus (located in the Mummy Range Mountains) west of Fort Collins.
Jennifer Mueller, professor of mathematics at Colorado State and a renowned leader in EIT, is co-organizing the international conference that includes more than 50 prominent physicians, engineers, computer scientists and mathematicians from 10 different countries. The five-day conference will focus on improving all aspects of the science, including enhancing equipment, processes and the mathematical algorithms that render electrical data into two- and three-dimensional images ..." read more [html], [pdf], or [jpg]