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The Resource Mathematical Oncology 2013, edited by Alberto d'Onofrio, Alberto Gandolfi, (electronic resource)

Mathematical Oncology 2013, edited by Alberto d'Onofrio, Alberto Gandolfi, (electronic resource)

Label
Mathematical Oncology 2013
Title
Mathematical Oncology 2013
Statement of responsibility
edited by Alberto d'Onofrio, Alberto Gandolfi
Contributor
Editor
Subject
Language
eng
Summary
With chapters on free boundaries, constitutive equations, stochastic dynamics, nonlinear diffusion-consumption, structured populations, and applications of optimal control theory, this volume presents the most significant recent results in the field of mathematical oncology. It highlights the work of world-class research teams, and explores how different researchers approach the same problem in various ways. Tumors are complex entities that present numerous challenges to the mathematical modeler. First and foremost, they grow. Thus their spatial mean field description involves a free boundary problem. Second, their interiors should be modeled as nontrivial porous media using constitutive equations. Third, at the end of anti-cancer therapy, a small number of malignant cells remain, making the post-treatment dynamics inherently stochastic. Fourth, the growth parameters of macroscopic tumors are non-constant, as are the parameters of anti-tumor therapies. Changes in these parameters may induce phenomena that are mathematically equivalent to phase transitions. Fifth, tumor vascular growth is random and self-similar. Finally, the drugs used in chemotherapy diffuse and are taken up by the cells in nonlinear ways. Mathematical Oncology 2013 will appeal to graduate students and researchers in biomathematics, computational and theoretical biology, biophysics, and bioengineering
Member of
Image bit depth
0
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • d'Onofrio, Alberto.
  • Gandolfi, Alberto.
  • SpringerLink (Online service)
Series statement
Modeling and Simulation in Science, Engineering and Technology,
http://library.link/vocab/subjectName
  • Mathematics
  • Cancer research
  • Biomathematics
  • Biophysics
  • Biological physics
Label
Mathematical Oncology 2013, edited by Alberto d'Onofrio, Alberto Gandolfi, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-1-4939-0458-7
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
Part I: Cancer Onset and Early Growth -- Modeling spatial effects in carcinogenesis: stochastic and deterministic reaction-diffusion -- Conservation law in cancer modeling -- Avascular tumor growth modeling: physical insight in skin cancer -- Part II: Tumor and Inter-Cellular Interactions -- A cell population model structured by cell age incorporating cell-cell adhesion -- A general framework for multiscale modeling of tumor-immune system interactions -- The power of the tumor microenvironment: a systemic approach for a systemic disease -- Part III: Anti-Tumor Therapies -- Modeling immune-mediated tumor growth and treatment -- Hybrid multiscale approach in cancer modelling and treatment prediction -- Deterministic mathematical modelling for cancer chronotherapeutics: cell population dynamics and treatment optimization -- Tumor Microenvironment and Anticancer Therapies: An Optimal Control Approach
Control code
978-1-4939-0458-7
Dimensions
unknown
Extent
X, 334 p. 96 illus., 78 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
9781493904587
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-1-4939-0458-7
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1022038531
Label
Mathematical Oncology 2013, edited by Alberto d'Onofrio, Alberto Gandolfi, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-1-4939-0458-7
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
Part I: Cancer Onset and Early Growth -- Modeling spatial effects in carcinogenesis: stochastic and deterministic reaction-diffusion -- Conservation law in cancer modeling -- Avascular tumor growth modeling: physical insight in skin cancer -- Part II: Tumor and Inter-Cellular Interactions -- A cell population model structured by cell age incorporating cell-cell adhesion -- A general framework for multiscale modeling of tumor-immune system interactions -- The power of the tumor microenvironment: a systemic approach for a systemic disease -- Part III: Anti-Tumor Therapies -- Modeling immune-mediated tumor growth and treatment -- Hybrid multiscale approach in cancer modelling and treatment prediction -- Deterministic mathematical modelling for cancer chronotherapeutics: cell population dynamics and treatment optimization -- Tumor Microenvironment and Anticancer Therapies: An Optimal Control Approach
Control code
978-1-4939-0458-7
Dimensions
unknown
Extent
X, 334 p. 96 illus., 78 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
9781493904587
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-1-4939-0458-7
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1022038531

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