Laura Munoz
Associate Professor
School of Mathematics and Statistics
College of Science
585-475-2523
Office Hours
Fall 2024: Mon 12:00-12:55pm, Tue 1:00-2:00pm, Thu 12:00-1:05pm, in GOS 3340. I may need to make one-time changes to office hours if scheduling conflicts arise. Email me for the latest info or if you want to set up an appointment for a specific time.
Office Location
Laura Munoz
Associate Professor
School of Mathematics and Statistics
College of Science
Education
BS, California Institute of Technology; Ph.D., University of California at Berkeley
585-475-2523
Areas of Expertise
Mathematical Biology
Dynamical Systems
Applied Control Theory
Mathematical Modeling
Scientific Computing
Cardiac Electrophysiology
Select Scholarship
Journal Paper
Otani, Niels, et al. "Ephaptic Coupling as a Resolution to the Paradox of Action Potential Wave Speed and Discordant Alternans Spatial Scales in the Heart." Physical Review Letters 130. (2023): 218401. Web.
Otani, Niels, et al. "The Role of Ephaptic Coupling in Discordant Alternans Domain Sizes and Action Potential Propagation in the Heart." Physical Review E 107. (2023): 54407. Web.
Munoz, Laura, Mark Ampofo, and Elizabeth Cherry. "Controllability of Voltage- and Calcium-driven Cardiac Alternans in a Map Model." Chaos 31. (2021): 23139. Print.
Vogt, Ryan, et al. "Controllability Analysis of a Cardiac Ionic Cell Model." Computers in Biology and Medicine 139. (2021): 104909. Print.
Guzman, Anthony, et al. "Observability Analysis and State Observer Design for a Cardiac Ionic Cell Model." Computers in Biology and Medicine 125. (2020): 103910. Web.
Munoz, Laura, et al. "Discordant Alternans Mechanism for Initiation of Ventricular Fibrillation In Vitro." Journal of the American Heart Association 7. (2018): e007898. Web.
Published Conference Proceedings
Munoz, Laura, et al. "Observability Analysis of Data Reconstruction Strategies for a Cardiac Ionic Model." Proceedings of the Computing in Cardiology. Ed. Christine Pickett. Atlanta, GA: n.p., 2023. Web.
Munoz, Laura, Mark Ampofo, and Elizabeth Cherry. "Controllability of Voltage- and Calcium-Driven Alternans in a Cardiac Ionic Model." Proceedings of the Computing in Cardiology. Ed. Christine Pickett. Tampere, Finland: n.p., 2022. Web.
Munoz, Laura, Mark Ampofo, and Elizabeth Cherry. "Empirical Gramian Based Controllability of Alternans in a Cardiac Map Model." Proceedings of the Computing in Cardiology Conference, September 2021. Ed. Christine Pickett. Brno, Czech Republic: n.p., 2021. Web.
Munoz, Laura and Christopher Beam. "State Estimation for Cardiac Action Potential Dynamics: A Comparison of Linear and Nonlinear Kalman Filters." Proceedings of the Computing in Cardiology Conference, September 2020. Ed. Christine Pickett. Rimini, Italy: n.p., 2020. Web.
Munoz, Laura M. and Niels F. Otani. "Kalman Filter Based Estimation of Ionic Concentrations and Gating Variables in a Cardiac Myocyte Model." Proceedings of the Computing in Cardiology Conference, Zaragoza, Spain, September 22-25, 2013. Ed. Alan Murray. Zaragoza, ES: Computing in Cardiology, Print.
Invited Keynote/Presentation
Munoz, Laura. "Controllability Analysis of a Cardiac Cell Model." Society for Industrial and Applied Mathematics (SIAM) Conference on the Life Sciences. SIAM. Minneapolis, MN. 8 Aug. 2018. Conference Presentation.
Munoz, Laura. "Estimation of Dynamical Variables in a Cardiac Myocyte Model." Society for Industrial and Applied Mathematics Conference on the Life Sciences. Society for Industrial and Applied Mathematics (SIAM). Boston, MA. 12 Jul. 2016. Conference Presentation.
Currently Teaching
MATH-231
Differential Equations
3 Credits
This course is an introduction to the study of ordinary differential equations and their applications. Topics include solutions to first order equations and linear second order equations, method of undetermined coefficients, variation of parameters, linear independence and the Wronskian, vibrating systems, and Laplace transforms.
MATH-241
Linear Algebra
3 Credits
This course is an introduction to the basic concepts of linear algebra, and techniques of matrix manipulation. Topics include linear transformations, Gaussian elimination, matrix arithmetic, determinants, vector spaces, linear independence, basis, null space, row space, and column space of a matrix, eigenvalues, eigenvectors, change of basis, similarity and diagonalization. Various applications are studied throughout the course.
MATH-381
Complex Variables
3 Credits
This course covers the algebra of complex numbers, analytic functions, Cauchy-Riemann equations, complex integration, Cauchy's integral theorem and integral formulas, Taylor and Laurent series, residues, and the calculation of real-valued integrals by complex-variable methods.
MATH-622
Mathematical Modeling I
3 Credits
This course will introduce graduate students to the logical methodology of mathematical modeling. They will learn how to use an application field problem as a standard for defining equations that can be used to solve that problem, how to establish a nested hierarchy of models for an application field problem in order to clarify the problem’s context and facilitate its solution. Students will also learn how mathematical theory, closed-form solutions for special cases, and computational methods should be integrated into the modeling process in order to provide insight into application fields and solutions to particular problems. Students will study principles of model verification and validation, parameter identification and parameter sensitivity and their roles in mathematical modeling. In addition, students will be introduced to particular mathematical models of various types: stochastic models, PDE models, dynamical system models, graph-theoretic models, algebraic models, and perhaps other types of models. They will use these models to exemplify the broad principles and methods that they will learn in this course, and they will use these models to build up a stock of models that they can call upon as examples of good modeling practice.
In the News
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January 13, 2022
Team-co-authors paper in ‘Computers in Biology and Medicine’
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April 26, 2021
Munoz and team publish paper in ‘Chaos’