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A Spatial Relations Study of Virus Infected Cells and the Human Immune Response through the V-Proportionality Measurement

Ehnborg, Leo (2014) MASY01 20142
Mathematical Statistics
Abstract (Swedish)
Biotechnological tools have never been stronger than today and the data they
provide is absolutely fascinating. As we get a clearer picture of the intricate
workings of living systems eective mathematical and statistical tools become
a necessity in order to reach a comprehensive understanding of said systems.
The purpose of this thesis is to statistically explore cutting edge biomedical
data taken from virus infected human tissue samples in the hopes of nding
interesting correlations amongst the dierent components in the samples. We
will also show that spatial statistical methods can be used to draw valuable and
signicant conclusions about biological systems.
The method of choice for the statistical analysis in this thesis is the... (More)
Biotechnological tools have never been stronger than today and the data they
provide is absolutely fascinating. As we get a clearer picture of the intricate
workings of living systems eective mathematical and statistical tools become
a necessity in order to reach a comprehensive understanding of said systems.
The purpose of this thesis is to statistically explore cutting edge biomedical
data taken from virus infected human tissue samples in the hopes of nding
interesting correlations amongst the dierent components in the samples. We
will also show that spatial statistical methods can be used to draw valuable and
signicant conclusions about biological systems.
The method of choice for the statistical analysis in this thesis is the Vproportionality
measurement. In theory it can distinguish positive, negative and
lack of spatial correlation in datasets through clever use of the Voronoi diagram.
The code used for the implementation of the V-proportionality measurement is
both explained and provided within the connes of this paper. (Less)
Please use this url to cite or link to this publication:
author
Ehnborg, Leo
supervisor
organization
course
MASY01 20142
year
type
M2 - Bachelor Degree
subject
language
English
id
4618186
date added to LUP
2014-09-03 12:35:43
date last changed
2014-09-03 12:35:43
@misc{4618186,
  abstract     = {{Biotechnological tools have never been stronger than today and the data they
provide is absolutely fascinating. As we get a clearer picture of the intricate
workings of living systems eective mathematical and statistical tools become
a necessity in order to reach a comprehensive understanding of said systems.
The purpose of this thesis is to statistically explore cutting edge biomedical
data taken from virus infected human tissue samples in the hopes of nding
interesting correlations amongst the dierent components in the samples. We
will also show that spatial statistical methods can be used to draw valuable and
signicant conclusions about biological systems.
The method of choice for the statistical analysis in this thesis is the Vproportionality
measurement. In theory it can distinguish positive, negative and
lack of spatial correlation in datasets through clever use of the Voronoi diagram.
The code used for the implementation of the V-proportionality measurement is
both explained and provided within the connes of this paper.}},
  author       = {{Ehnborg, Leo}},
  language     = {{eng}},
  note         = {{Student Paper}},
  title        = {{A Spatial Relations Study of Virus Infected Cells and the Human Immune Response through the V-Proportionality Measurement}},
  year         = {{2014}},
}