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The Resource Mathematical Models for Therapeutic Approaches to Control HIV Disease Transmission, by Priti Kumar Roy, (electronic resource)

Mathematical Models for Therapeutic Approaches to Control HIV Disease Transmission, by Priti Kumar Roy, (electronic resource)

Creator
Author
Contributor
Summary
The book discusses different therapeutic approaches based on different mathematical models to control the HIV/AIDS disease transmission. It uses clinical data, collected from different cited sources, to formulate the deterministic as well as stochastic mathematical models of HIV/AIDS. It provides complementary approaches, from deterministic and stochastic points of view, to optimal control strategy with perfect drug adherence and also tries to seek viewpoints of the same issue from different angles with various mathematical models to computer simulations. The book presents essential methods and techniques for students who are interested in designing epidemiological models on HIV/AIDS. It also guides research scientists, working in the periphery of mathematical modeling, and helps them to explore a hypothetical method by examining its consequences in the form of a mathematical modelling and making some scientific predictions. The model equations, mathematical analysis and several numerical simulations that are presented in the book would serve to reveal the consequences of the logical structure of the disease transmission, quantitatively as well as qualitatively. One of the chapters introduces the optimal control approach towards the mathematical models, describing the optimal drug dosage process that is discussed with the basic deterministic models dealing with stability analysis. Another one chapter deals with the mathematical analysis for the perfect drug adherence for different drug dynamics during the treatment management. The last chapter of the book consists the stochastic approach to the disease dynamics on HIV/AIDS. This method helps to move the disease HIV/AIDS to extinction as the time to increase. This book will appeal to undergraduate and postgraduate students, as well as researchers, who are studying and working in the field of bio-mathematical modelling on infectious diseases, applied mathematics, health informatics, applied statistics and qualitative public health, etc. Social workers, who are working in the field of HIV, will also find the book useful for complements
Language
eng
Work
Publication
Edition
1st ed. 2015.
Extent
XIX, 213 p. 67 illus., 4 illus. in color.
Contents
  • Chapter 1. Introduction
  • Part I: Dynamics of Immune System against HIV
  • Chapter 2. Role of CTL in Restricting Virus
  • Chapter 3. T Cell Proliferation
  • Chapter 4. Feedback Effect towards HIV Infection
  • Part II: Control based Therapeutic Approach
  • Chapter 5. Insight of Delay Dynamics
  • Chapter 6. Optimal Control Theory
  • Chapter 7. Perfect Drug Adherence
  • Chapter 8. Mathematical Model in Stochastic Approach
Isbn
9789812878526
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-981-287-852-6
Instance
Label
Mathematical Models for Therapeutic Approaches to Control HIV Disease Transmission
Title
Mathematical Models for Therapeutic Approaches to Control HIV Disease Transmission
Statement of responsibility
by Priti Kumar Roy
Creator
Contributor
Author
Subject
Language
eng
Summary
The book discusses different therapeutic approaches based on different mathematical models to control the HIV/AIDS disease transmission. It uses clinical data, collected from different cited sources, to formulate the deterministic as well as stochastic mathematical models of HIV/AIDS. It provides complementary approaches, from deterministic and stochastic points of view, to optimal control strategy with perfect drug adherence and also tries to seek viewpoints of the same issue from different angles with various mathematical models to computer simulations. The book presents essential methods and techniques for students who are interested in designing epidemiological models on HIV/AIDS. It also guides research scientists, working in the periphery of mathematical modeling, and helps them to explore a hypothetical method by examining its consequences in the form of a mathematical modelling and making some scientific predictions. The model equations, mathematical analysis and several numerical simulations that are presented in the book would serve to reveal the consequences of the logical structure of the disease transmission, quantitatively as well as qualitatively. One of the chapters introduces the optimal control approach towards the mathematical models, describing the optimal drug dosage process that is discussed with the basic deterministic models dealing with stability analysis. Another one chapter deals with the mathematical analysis for the perfect drug adherence for different drug dynamics during the treatment management. The last chapter of the book consists the stochastic approach to the disease dynamics on HIV/AIDS. This method helps to move the disease HIV/AIDS to extinction as the time to increase. This book will appeal to undergraduate and postgraduate students, as well as researchers, who are studying and working in the field of bio-mathematical modelling on infectious diseases, applied mathematics, health informatics, applied statistics and qualitative public health, etc. Social workers, who are working in the field of HIV, will also find the book useful for complements
Member of
http://library.link/vocab/creatorName
Roy, Priti Kumar
Image bit depth
0
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink (Online service)
Series statement
Industrial and Applied Mathematics,
http://library.link/vocab/subjectName
  • Mathematics
  • Applied mathematics
  • Engineering mathematics
  • Mathematical models
  • Biomathematics
Label
Mathematical Models for Therapeutic Approaches to Control HIV Disease Transmission, by Priti Kumar Roy, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-981-287-852-6
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
Chapter 1. Introduction -- Part I: Dynamics of Immune System against HIV -- Chapter 2. Role of CTL in Restricting Virus -- Chapter 3. T Cell Proliferation -- Chapter 4. Feedback Effect towards HIV Infection -- Part II: Control based Therapeutic Approach -- Chapter 5. Insight of Delay Dynamics -- Chapter 6. Optimal Control Theory -- Chapter 7. Perfect Drug Adherence -- Chapter 8. Mathematical Model in Stochastic Approach
Control code
978-981-287-852-6
Dimensions
unknown
Edition
1st ed. 2015.
Extent
XIX, 213 p. 67 illus., 4 illus. in color.
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9789812878526
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-981-287-852-6
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1086458102
Label
Mathematical Models for Therapeutic Approaches to Control HIV Disease Transmission, by Priti Kumar Roy, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-981-287-852-6
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
Contents
Chapter 1. Introduction -- Part I: Dynamics of Immune System against HIV -- Chapter 2. Role of CTL in Restricting Virus -- Chapter 3. T Cell Proliferation -- Chapter 4. Feedback Effect towards HIV Infection -- Part II: Control based Therapeutic Approach -- Chapter 5. Insight of Delay Dynamics -- Chapter 6. Optimal Control Theory -- Chapter 7. Perfect Drug Adherence -- Chapter 8. Mathematical Model in Stochastic Approach
Control code
978-981-287-852-6
Dimensions
unknown
Edition
1st ed. 2015.
Extent
XIX, 213 p. 67 illus., 4 illus. in color.
File format
multiple file formats
Form of item
electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9789812878526
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-981-287-852-6
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1086458102

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Member of

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