[图书][B] Evolutionary dynamics: exploring the equations of life

MA Nowak - 2006 - books.google.com
At a time of unprecedented expansion in the life sciences, evolution is the one theory that
transcends all of biology. Any observation of a living system must ultimately be interpreted in …

Mathematical modeling of cancer progression and response to chemotherapy

S Sanga, JP Sinek, HB Frieboes, M Ferrari… - Expert review of …, 2006 - Taylor & Francis
The complex, constantly evolving and multifaceted nature of cancer has made it difficult to
identify unique molecular and pathophysiological signatures for each disease variant …

An integrated computational/experimental model of tumor invasion

HB Frieboes, X Zheng, CH Sun, B Tromberg… - Cancer research, 2006 - AACR
The intracellular and extracellular dynamics that govern tumor growth and invasiveness in
vivo remain poorly understood. Cell genotype and phenotype, and nutrient, oxygen, and …

Multicell tumor spheroids in photodynamic therapy

SJ Madsen, CH Sun, BJ Tromberg… - Lasers in Surgery …, 2006 - Wiley Online Library
Abstract Background and Objectives Multicell spheroids (MCSs) represent a simple in vitro
system ideally suited for studying the effects of a wide variety of investigational treatments …

Modeling the effects of vasculature evolution on early brain tumor growth

JL Gevertz, S Torquato - Journal of Theoretical Biology, 2006 - Elsevier
Mathematical modeling of both tumor growth and angiogenesis have been active areas of
research for the past several decades. Such models can be classified into one of two …

Simulating complex tumor dynamics from avascular to vascular growth using a general level-set method

CS Hogea, BT Murray, JA Sethian - journal of mathematical biology, 2006 - Springer
A comprehensive continuum model of solid tumor evolution and development is investigated
in detail numerically, both under the assumption of spherical symmetry and for arbitrary two …

An improved geometry-aware curvature discretization for level set methods: application to tumor growth

P Macklin, J Lowengrub - journal of Computational Physics, 2006 - Elsevier
An advantage of using level set methods for moving boundary problems is that geometric
quantities such as curvature can be readily calculated from the level set function. However …

Nanotechnology in cancer drug therapy: a biocomputational approach

HB Frieboes, JP Sinek, O Nalcioglu… - … : volume I biological and …, 2006 - Springer
Although the clinical arsenal in treating cancer has been greatly extended in recent years
with the application of new drugs and therapeutic modalities, the three basic approaches …

[PDF][PDF] Mathematical and computational modeling: towards the development and application of nanodevices for drug delivery

JP Sinek, HB Frieboes, B Sivaraman… - … for the life sciences, 2006 - academia.edu
Within recent decades, quickening research and development of liposomal and nanoparticle
delivery systems has made Paul Ehrlich's dream of zauberkugeln–therapeutic magic bullets …

Understanding a killer: a predictive model for tumor development

Y Jiang - Contemporary Mathematics, 2006 - books.google.com
Cancer has become the leading cause of death for Americans. The development of
prognostic tools could have immediate impact on the lives of millions of cancer patients. We …