Alexander D. Kaiser is an applied mathematician who researches modeling and simulation of heart mechanics. His doctoral work focused on the mitral valve. He currently works in the Stanford Cardiovascular Biomechanics Computation Laboratory, led by Alison Marsden, on modeling cardiac disease.
Honors & Awards
Mechanisms and Innovation in Cardiovascular Disease T32 training grant, Cardiovascular Institute, Stanford University (6/2018)
Kurt O. Friedrichs Prize for Outstanding Dissertation in Mathematics, Courant Institute of Mathematical Sciences, New York University (4/2018)
Thomas Tyler Bringley Fellowship, Courant Institute of Mathematical Sciences, New York University (4/2016)
Math Master’s Thesis Prize, Courant Institute of Mathematical Sciences, New York University (4/2014)
NSF Graduate Research Fellowship, National Science Foundation (4/2013)
Boards, Advisory Committees, Professional Organizations
Postdoctoral scholar, Institute for Computational & Mathematical Engineering, Stanford University (2018 - Present)
Postdoctoral scholar, Cardiovascular Institute, Stanford University (2018 - Present)
Doctor of Philosophy, New York University, Mathematics (2017)
Master of Science, New York University, Mathematics (2013)
Bachelor of Arts, University of California, Berkeley, Mathematics (2009)
Modeling the mitral valve.
International journal for numerical methods in biomedical engineering
This work is concerned with modeling and simulation of the mitral valve, one of the four valves in the human heart. The valve is composed of leaflets, the free edges of which are supported by a system of chordae, which themselves are anchored to the papillary muscles inside the left ventricle. First, we examine valve anatomy and present the results of original dissections. These display the gross anatomy and information on fiber structure of the mitral valve. Next, we build a model valve following a design-based methodology, meaning that we derive the model geometry and the forces that are needed to support a given load, and construct the model accordingly. We incorporate information from the dissections to specify the fiber topology of this model. We assume the valve achieves mechanical equilibrium while supporting a static pressure load. The solution to the resulting differential equations determines the pressurized configuration of the valve model. To complete the model we then specify a constitutive law based on a stress-strain relation consistent with experimental data that achieves the necessary forces computed in previous steps. Finally, using the immersed boundary method, we simulate the model valve in fluid in a computer test chamber. The model opens easily and closes without leak when driven by physiological pressures over multiple beats. Further, its closure is robust to driving pressures that lack atrial systole or are much lower or higher than normal.
View details for DOI 10.1002/cnm.3240
View details for PubMedID 31330567