id: 05777709
dt: b
an: 2011a.00974
au: Alimadad, Azadeh; Borwein, Alex; Borwein, Peter; Dabbaghian, Vahid; Drakes,
Chiaka; Ferguson, Ron; Ghaseminejad, Amir H.; Gusev, Yuri; Hare,
Warren; Li, Jenny; Mitrovic-Minic, Snezana; Rutherford, Alexander; van
der Waall, Alexa; Vásárhelyi, Krisztina; Vertesi, Les
ti: Modelling in healthcare.
so: Providence, RI: American Mathematical Society (AMS) (ISBN
978-0-8218-4969-9/hbk). xvii, 218~p. (2010).
py: 2010
pu: Providence, RI: American Mathematical Society (AMS)
la: EN
cc: M65 K45 K95
ut: mathematical modeling; healthcare; data collection; statistical models;
model design; model implementation; analysis
ci:
li:
ab: The main purpose of this text is to introduce modelling in healthcare,
which is a new and fast developing subject. The book has three parts:
Modelling in Healthcare, Data Collection and Statistical Models, Model
Design and Interpretation. All material is divided into sixteen
chapters written in a self-contained manner. Any chapter can be read
and understood without having read previous chapters; sufficient
background information is provided to make the text accessible to a
reader with a solid knowledge of high school mathematics. The layout of
all chapters is unified ‒ most chapters are divided into five
sections titled Model Overview, Common Uses, Model (or Mathematical)
Details, Examples and Related Reading. This structuring helps the
reader to use the book most efficiently. In each of the Examples
section two or three examples of practical applications are provided,
although, for the sake of simplicity, some examples have been created
artificially. All the material in the book falls into two categories;
there are chapters dealing exclusively with specific types of models
and those of rather general nature. In fact, all three chapters in the
first part introduce modelling as a subject focusing in particular on
modelling in healthcare and describe how to use the book. Chapters 4
and 9 that open parts two and three discuss, respectively, fundamental
issues related to types of data, data collection and data errors and
principles guiding selection, development and implementation of models.
Chapters 5-8 in the second part of the book focus on fundamental
techniques used in statistical modelling. Here the reader can find
helpful information on descriptive statistics and distributions,
regression analysis, basics of epidemiological and psychosocial risk
modelling. All the remaining chapters in the book discuss particular
models including, for instance, psychosocial models, human capital
models, queueing and traffic models, etc. Case studies in Chapters
10-16 in the third part require more solid mathematical background
since they contain elements of the graph theory, game theory,
differential equations, optimization and network theory. The book
contains an appendix where some of the modelling software has been
reviewed. It concludes with a bibliography containing 230 items and a
useful subject index. Written by a group of experts in a transparent
and precise manner, this nice book invites the reader to explore how
modelling in healthcare works and what it is capable of. It is
certainly a very useful introductory text on the subject.
rv: Svitlana P. Rogovchenko (Umeå)