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A Novel Three-Phase Model of Brain Tissue Microstructure
(Public Library of Science, 8/15/2008)
We propose a novel biologically constrained three-phase model of the brain microstructure. Designing a realistic model is tantamount to a packing problem, and for this reason, a number of techniques from the theory of ...
Mean survival times of absorbing triply periodic minimal surfaces
(American Physical Society, 2009)
Understanding the transport properties of a porous medium from a knowledge of its microstructure is a problem of great interest in the physical, chemical and biological sciences. Using a first passage time method, we compute ...
Growing heterogeneous tumors in silico
(The American Physical Society, 11/16/2009)
An in silico tool that can be utilized in the clinic to predict neoplastic progression and propose individualized treatment strategies is the holy grail of computational tumor modeling. Building such a tool requires the ...
In vitro RNA random pools are not structurally diverse: A computational analysis
(RNA Society, 2005)
In vitro selection of functional RNAs from large random sequence pools has led to the identification of many ligand-binding and catalytic RNAs. However, the structural diversity in random pools is not well understood. Such ...
Mathematical Model of Real-Time PCR Kinetics
(Wiley Periodicals, Inc, 2005)
Several real-time PCR (rtPCR) quantification techniques are currently used to determine the expression levels of individual genes from rtPCR data in the form of fluorescence intensities. In most of these quantification ...
Simulating tumor growth in confined heterogeneous environments
(IOP Publishing Ltd, 9/29/2008)
The holy grail of computational tumor modeling is to develop a simulation tool that can be utilized in the clinic to predict neoplastic progression and propose individualized optimal treatment strategies. In order to develop ...
Modeling the effects of vasculature evolution on early brain tumor growth
(Elsevier, 7/15/2006)
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 categories: those that analyze the remodeling of ...