<p>Mathematical and computational modeling allow for the
rationalization of complex phenomenon observed in our reality. Through the
careful selection of assumptions, the intractable task of simulating reality
can be reduced to the simulation of a practical system whose behavior can be
replicated. The development of computational models allow for the full comprehension
of the defined system, and the model itself can be used to evaluate the results
of thousands of simulate experiments to aid in the rational design process.</p>
<p>Biomedical engineering is
the application of engineering principles to the field of medicine and biology.
This discipline is composed of numerous diverse subdisciplines that span from
genetic engineering to biomechanics. Each of these subdisciplines is concerned
with its own complex and seemingly chaotic systems, whose behavior is difficult
to characterize. The development and application of computational modeling to
rationalize these systems is often necessary in this field and will be the
focus of this thesis.</p>
<p>This thesis is centered
on the development and application of mathematical and computational modeling
in three diverse systems in biomedical engineering. First, computational
modeling is employed to investigate the behavior of key proteins in the
post-synapse centered around learning and memory. Second, computational
modeling is utilized to characterize the drug release rate from implantable
drug delivery depots, and produce a tool to aid in the tailoring of the release
rate. Finally, computational modeling is utilized to understand the motion of
particles through an inertial focusing microfluidics chip and optimize the size
selective capture efficiency.</p>
<p> </p>
| Identifer | oai:union.ndltd.org:purdue.edu/oai:figshare.com:article/15079443 |
| Date | 30 July 2021 |
| Creators | Patrick A Giolando (11205849) |
| Source Sets | Purdue University |
| Detected Language | English |
| Type | Text, Thesis |
| Rights | CC BY 4.0 |
| Relation | https://figshare.com/articles/thesis/Mathematical_and_Computational_Modeling_in_Biomedical_Engineering/15079443 |
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