Kara Maki
Professor
School of Mathematics and Statistics
College of Science
Director, Applied and Computational Mathematics MS Program
585-475-2541
Office Hours
Mondays, 2:00-3:00 PM; Tuesdays, 11:00-12:00 PM; Thursdays, 12:30-1:30 PM
Office Location
Kara Maki
Professor
School of Mathematics and Statistics
College of Science
Director, Applied and Computational Mathematics MS Program
Education
BS, University of New Hampshire; MS, Ph.D., University of Delaware
585-475-2541
Areas of Expertise
Mathematical Modeling
Select Scholarship
Journal Paper
O'Brien, Jordana E., Kara L. Maki, and Jennifer A. O'Neil. "Predicting particle deposition in an adult human lung using an oscillatory, lumped respiratory model." Journal of Aerosol Science 181. (2024): 106430. Print.
Li, Xi, Kara L. Maki, and Michael J. Schertzer. "Characterization of Particle Transport and Deposition Due to Heterogeneous Dewetting on Low-Cost Inkjet-Printed Devices." Langmuir. (2023): 3c02224. Web.
Bernetski, Kimberly A., et al. "Predicting actuated contact line pinning forces and the elimination of hysteresis under AC electrowetting." Microfluidics and Nanofluidics 26. (2022): 94. Print.
Wong, Tony E., et al. "Evaluating the sensitivity of SARS-CoV-2 infection rates on college campuses to wastewater surveillance." Infectious Disease Modeling 6. (2021): 1144-1158. Print.
Maki, Kara L., Richard J. Braun, and Gregory A. Barron. "The Influence of a Lipid Reservoir on the Tear Film Formation." Mathematical Medicine and Biology: A Journal of the IMA 37. (2020): 363-388. Print.
Burkhart, Collin T., Michael J. Schertzer, and Kara L. Maki. "Coplanar Electrowetting-induced Droplet De-tachment from Radially Symmetric Electrodes." Langmuir 36. (2020): 8129-8136. Print.
Bernetski, Kimberly A, Kara L Maki, and Michael J Schertzer. "Comment on “How to make sticky surfaces slippery: Contact angle hysteresis in electrowetting with alternating voltage”." Appl. Phys. Lett. 114. (2019): 116101. Print.
Li, Longfei, et al. "Tear Film Dynamics with Evaporation, Wetting, and Time-dependent Flux Boundary Condition on an Eye-shaped Domain." Physics of Fluids 26. 5 (2014): 52101. Print.
Maki, Kara L. and David S. Ross. "Exchange of Tears under a Contact Lens Is Driven by Distortions of the Contact Lens." Integrative and Comparative Biology 54. 6 (2014): 1043-1050. Print.
Lee, S. H., et al. "Gravity-driven Instability of a Thin Liquid Film Underneath a Soft Solid." Physical Review E 90. 5 (2014): 53009. Print.
Huang, J., et al. "Phantom Study of Tear Film Dynamics with Optical Coherence Tomography and Maximum-likelihood Estimation." Optics Letters 38. (2013): 1721-1723. Print.
Huang, J., et al. "Maximum-likelihood Estimation in Optical Coherence Tomography in the Context of the Tear." Biomedical Optics Express 4. (2013): 1806-1816. Print.
Maki, Kara L. and Yuriko Renardy. "The Dynamics of a Viscoelastic Liquid which Displays Thixotropic Yield Stress Behavior." Journal of Non-Newtonian Fluid Mechanics 181. (2012): 30-50. Print.
Maki, Kara L. and Satish Kumar. "Fast Evaporation of Spreading Droplets of Colloidal Suspensions." Langmuir 27. (2011): 11347-11363. Print.
Invited Paper
Reed, Kenneth, et al. "Modeling the Kinetic Behavior of Reactive Oxygen Species with Cerium Dioxide Nanoparticles." Biomolecules. (2019). Web.
Maki, Kara L. and David S. Ross. "A New Model for the Suction Pressure Under A Contact Lens." Journal of Biological Systems. (2014). Print.
Invited Article/Publication
Maki, Kara L, et al. "A model for tear film dynamics during a realistic blink." Journal for Modeling in Ophthalmology. (2019). Web.
Maki, Kara L., Rodolfo Repetto, and Richard J. Braun. "Mathematical modeling highlights from ARVO 2018." Journal for Modeling in Ophthalmology. (2019). Web.
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-498
Independent Study in Mathematical Sciences
1 - 3 Credits
This course is a faculty-guided investigation into appropriate topics that are not part of the curriculum.
MATH-500
Senior Capstone in Mathematics
3 Credits
This capstone experience introduces students to mathematical problems and situations not encountered in previous courses of study. The class will primarily revolve around student-directed,collaborative efforts to solve a given problem using rigorous mathematical analysis and (as appropriate) computational methods. Significant work outside the classroom will be required of students. Students will write a formal report of their solution methods, and produce a poster for presentation at an end-of-term conference-style event.
MATH-606
Graduate Seminar I
1 Credits
The course prepares students to engage in activities necessary for independent mathematical research and introduces students to a broad range of active interdisciplinary programs related to applied mathematics.
MATH-607
Graduate Seminar II
1 Credits
This course is a continuation of Graduate Seminar I. It prepares students to engage in activities necessary for independent mathematical research and introduces them to a broad range of active interdisciplinary programs related to applied mathematics.
MATH-722
Mathematical Modeling II
3 Credits
This course will continue to expose students to the logical methodology of mathematical modeling. It will also provide them with numerous examples of mathematical models from various fields.
MATH-790
Research & Thesis
0 - 9 Credits
Masters-level research by the candidate on an appropriate topic as arranged between the candidate and the research advisor.
MATH-791
Continuation of Thesis
0 Credits
Continuation of Thesis
MATH-799
MATH GRADUATE Independent Study
1 - 3 Credits
Independent Study