An Introduction to Stochastic Processes with Applications to Biology
eBook - PDF

An Introduction to Stochastic Processes with Applications to Biology

Linda J. S. Allen

  1. 496 pagine
  2. English
  3. PDF
  4. Disponibile su iOS e Android
eBook - PDF

An Introduction to Stochastic Processes with Applications to Biology

Linda J. S. Allen

Dettagli del libro
Anteprima del libro
Indice dei contenuti
Citazioni

Informazioni sul libro

An Introduction to Stochastic Processes with Applications to Biology, Second Edition presents the basic theory of stochastic processes necessary in understanding and applying stochastic methods to biological problems in areas such as population growth and extinction, drug kinetics, two-species competition and predation, the spread of epidemics, and

Domande frequenti

Come faccio ad annullare l'abbonamento?
È semplicissimo: basta accedere alla sezione Account nelle Impostazioni e cliccare su "Annulla abbonamento". Dopo la cancellazione, l'abbonamento rimarrà attivo per il periodo rimanente già pagato. Per maggiori informazioni, clicca qui
È possibile scaricare libri? Se sì, come?
Al momento è possibile scaricare tramite l'app tutti i nostri libri ePub mobile-friendly. Anche la maggior parte dei nostri PDF è scaricabile e stiamo lavorando per rendere disponibile quanto prima il download di tutti gli altri file. Per maggiori informazioni, clicca qui
Che differenza c'è tra i piani?
Entrambi i piani ti danno accesso illimitato alla libreria e a tutte le funzionalità di Perlego. Le uniche differenze sono il prezzo e il periodo di abbonamento: con il piano annuale risparmierai circa il 30% rispetto a 12 rate con quello mensile.
Cos'è Perlego?
Perlego è un servizio di abbonamento a testi accademici, che ti permette di accedere a un'intera libreria online a un prezzo inferiore rispetto a quello che pagheresti per acquistare un singolo libro al mese. Con oltre 1 milione di testi suddivisi in più di 1.000 categorie, troverai sicuramente ciò che fa per te! Per maggiori informazioni, clicca qui.
Perlego supporta la sintesi vocale?
Cerca l'icona Sintesi vocale nel prossimo libro che leggerai per verificare se è possibile riprodurre l'audio. Questo strumento permette di leggere il testo a voce alta, evidenziandolo man mano che la lettura procede. Puoi aumentare o diminuire la velocità della sintesi vocale, oppure sospendere la riproduzione. Per maggiori informazioni, clicca qui.
An Introduction to Stochastic Processes with Applications to Biology è disponibile online in formato PDF/ePub?
Sì, puoi accedere a An Introduction to Stochastic Processes with Applications to Biology di Linda J. S. Allen in formato PDF e/o ePub, così come ad altri libri molto apprezzati nelle sezioni relative a Matematica e Matematica generale. Scopri oltre 1 milione di libri disponibili nel nostro catalogo.

Informazioni

Editore
Chapman and Hall/CRC
Anno
2010
ISBN
9781439894682
Edizione
2
Argomento
Matematica
Categoria
Matematica generale
Chapter
1
Review
of
Probability
Theory
and
an
Introduction
to
Stochastic
Processes
1.1
Introduction
The
underlying
mathematical
theory
of
stochastic
modeling
lies
within
stochastic
processes
.
The
theory
of
stochastic
processes
is
based
on
proba-
bility
theory.
Therefore,
this
first
chapter
is
a
brief
review
of
some
basic
prin-
ciples
from
probability
theory.
An
excellent
reference
for
stochastic
processes
with
applications
to
biology
is
the
classic
textbook
by
Bailey,
The
Elements
of
Stochastic
Processes
with
Applications
to
the
Natural
Sciences
,
which
has
been
referenced
frequently
since
its
initial
publication
in
1964
and
is
cited
frequently
in
this
book
as
well.
John
Wiley
&
Sons
republished
this
clas-
sic
textbook
in
1990
and
it
is
this
reference
that
is
cited.
Other
references
for
various
types
of
stochastic
processes
are
listed
at
the
end
of
each
of
the
chapters.
It
is
the
goal
of
this
book
to
introduce
the
basic
theory
of
stochastic
pro-
cesses
necessary
in
understanding
and
applying
these
methods
to
biological
problems,
such
as
population
extinction,
enzyme
kinetics,
two-species
com-
petition
and
predation,
spread
of
epidemics,
and
the
genetics
of
inbreeding.
Some
of
the
classical
stochastic
models
from
biology
have
a
deterministic
counterpart.
For
these
models,
the
dynamics
of
the
deterministic
model
will
be
discussed
and
compared
to
that
of
the
corresponding
stochastic
model.
One
of
the
most
important
differences
between
deterministic
and
stochas-
tic
models
is
that
deterministic
models
predict
an
outcome
with
absolute
certainty,
whereas
stochastic
models
provide
only
the
probability
of
an
out-
come.
Stochastic
models
take
into
account
the
variability
in
the
process
due
to
births,
deaths,
transitions,
emigration,
immigration,
and
environmental
variability
that
impact
the
biological
process.
For
example,
a
deterministic
model
for
a
population
of
cells,
animals,
plants,
or
genes
is
often
expressed
in
terms
of
difference
equations
or
differential
equations
which
follow
the
growth
and
decline
in
the
size
of
the
populations
over
time.
The
solution
of
these
equations
follows
a
prescribed
path
or
trajectory
over
time.
Given
a
fixed
ini-
tial
population
size,
a
unique
deterministic
solution
will
follow
the
same
path
over
time.
A
stochastic
model
of
a
population
process
may
also
be
expressed
1

Indice dei contenuti

  1. Cover
  2. Dedication
  3. Preface to the First Edition
  4. Preface to the Second Edition
  5. Contents
  6. List of Tables
  7. List of Figures
  8. Chapter 1: Review of Probability Theory and an Introduction to Stochastic Processes
  9. Chapter 2: Discrete-Time Markov Chains
  10. Chapter 3: Biological Applications of Discrete-Time Markov Chains
  11. Chapter 4: Discrete-Time Branching Processes
  12. Chapter 5: Continuous-Time Markov Chains
  13. Chapter 6: Continuous-Time Birth and Death Chains
  14. Chapter 7: Biological Applications of Continuous-Time Markov Chains
  15. Chapter 8: Diffusion Processes and Stochastic Differential Equations
  16. Chapter 9: Biological Applications of Stochastic Differential Equations
  17. Appendix A: Hints and Solutions to Selected Exercises
  18. Back Cover
Stili delle citazioni per An Introduction to Stochastic Processes with Applications to Biology

APA 6 Citation

Allen, L. (2010). An Introduction to Stochastic Processes with Applications to Biology (2nd ed.). CRC Press. Retrieved from https://www.perlego.com/book/1509211/an-introduction-to-stochastic-processes-with-applications-to-biology-pdf (Original work published 2010)

Chicago Citation

Allen, Linda. (2010) 2010. An Introduction to Stochastic Processes with Applications to Biology. 2nd ed. CRC Press. https://www.perlego.com/book/1509211/an-introduction-to-stochastic-processes-with-applications-to-biology-pdf.

Harvard Citation

Allen, L. (2010) An Introduction to Stochastic Processes with Applications to Biology. 2nd edn. CRC Press. Available at: https://www.perlego.com/book/1509211/an-introduction-to-stochastic-processes-with-applications-to-biology-pdf (Accessed: 25 September 2021).

MLA 7 Citation

Allen, Linda. An Introduction to Stochastic Processes with Applications to Biology. 2nd ed. CRC Press, 2010. Web. 25 Sept. 2021.