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A Discrete-cell Model of Tissue-equivalent Compaction
We (and others) have spent considerable effort over the last decade to develop continuum models partial differential equations (PDEs) of...
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Hollow glass microsphere production for laser direct-driven fusion targets on Shen Guang II
A liquid-droplet technique was investigated to fabricate thin wall hollow glass microspheres (HGM) used in laser fusion experiments on Shen Guang II....
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The migration of cells in multicell tumor spheroids
A mathematical model is proposed to explain the observed internalization of microspheres and 3 H-thymidine labelled cells in steady-state...
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A mathematical analysis for the Brownian dynamics of a DNA tether
In the single-particle tracking experiment, the internal motion of a single DNA or polymer molecule whose one end is attached to a microsphere...
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Distribution of attachment events relative to actin binding sites as evidenced in a bidirectional actomyosin interaction model
Optical trap** is one of the most evolving technologies that measures biophysical quantities and provides insights into some of the fundamental...
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On the growth of a polymer layer around a catalytic particle: a free boundary problem
The problem studied is a substantial part of a larger mathematical model describing the heterogeneous Ziegler-Natta polymerization process of a...
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Local Reconstruction Applied to X-Ray Microtomography
A characteristic of local reconstruction is that the x-ray detector array need only be slightly larger than the projected volume of interest within...
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A Bayesian Model for Organ Blood Flow Measurement with Colored Microspheres
The development of quantitative methods to measure organ blood flow is an active area of research in physiology. Under current protocols radiolabeled...
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Mathematical models for tumour angiogenesis: Numerical simulations and nonlinear wave solutions
To ensure its sustained growth, a tumour may secrete chemical compounds which cause neighbouring capillaries to form sprouts which then migrate...
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Cell migration in multicell spheroids: Swimming against the tide
Multicell spheroids, small spherical clusters of cancer cells, have become an important in vitro model for studying tumour development given the...
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Modelling the growth of solid tumours and incorporating a method for their classification using nonlinear elasticity theory
Medically, tumours are classified into two important classes — benign and malignant. Generally speaking, the two classes display different behaviour...
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Particle Transport in Random Media
A model is discussed which describes the ensemble-averaged intensity for linear transport of neutral particles through a turbulent (stochastic)...
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The constitutive equation resemblance of elastic — Plastic multiphase solid
Based on composite materials, the equivalent elastic-plastic constitutive equations of multiphase solid are researched. According to the suggested...
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Heterogeneous organ models
A theoretical study is made of three organ flow models with heterogeneity of capillary transit times. A new parametrization of Rose and Goresky's...
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Conclusions and Extensions
The branching process method as developed by Gordon (1962) and Good (1963) is an extremely useful and powerful technique for computing aggregate size...
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Tracer Studies of Peripheral Circulation
Studying the blood flow of the various tissues by tracers (also called indicators) one assumes steady state conditions for the system. It means, that...
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Light Scattering Analysis of Single Cells
Light scattering is an attractive tool for flow cytometric analysis because it is an inherently nondestructive probe and can be used for the analysis...
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Neural Control of the Intraocular Pressure
Neural control of intraocular parameters has not been considered in the above computations, and this may explain the inadequacy of the model’s...
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A note on the mathematics of microsphere division
Microspheres, laboratory models of the primordial cell, may correspond to the ideal cell to which Rashevsky's diffusion drag approach to cell...