Mathematical Oncology 2013:
Gespeichert in:
Format: | Elektronisch E-Book |
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Sprache: | English |
Veröffentlicht: |
New York, NY [u.a.]
Birkhäuser Springer
2014
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Schriftenreihe: | Modeling and simulation in science, engineering and technology
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Online-Zugang: | BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
Beschreibung: | 1 Online-Ressource |
ISBN: | 9781493904570 9781493904587 |
DOI: | 10.1007/978-1-4939-0458-7 |
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Datensatz im Suchindex
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adam_text | MATHEMATICAL ONCOLOGY 2013
/
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
MATHEMATICAL ONCOLOGY 2013
/
: 2014
ABSTRACT / INHALTSTEXT
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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spellingShingle | Mathematical Oncology 2013 |
title | Mathematical Oncology 2013 |
title_auth | Mathematical Oncology 2013 |
title_exact_search | Mathematical Oncology 2013 |
title_full | Mathematical Oncology 2013 Alberto d'Onofrio ..., ed. |
title_fullStr | Mathematical Oncology 2013 Alberto d'Onofrio ..., ed. |
title_full_unstemmed | Mathematical Oncology 2013 Alberto d'Onofrio ..., ed. |
title_short | Mathematical Oncology 2013 |
title_sort | mathematical oncology 2013 |
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