Biomedical subjects

K A Landman

Publications and source records attributed to K A Landman.

5 recordsLinked to original sources

PubMed1985

A continuum model for surface contraction waves.

The periodic travelling waves which appear on some animal eggs after fertilization are considered here. These are thought to be caused by a calcium initiated calcium release on the surface, causing calcium waves. A continuum model is developed where the cell is treated as a small viscous droplet with a surface contamination. When a periodic source of surfactant acts at one pole and propagates down the cell surface to the opposite pole, the drop responds by forming constriction rings which move from pole to pole.

Animals↗

PubMed1985

Diffusion of a contaminant in fractured porous media.

A theoretical model is developed for diffusion from a finite source of buried contaminant through a porous medium containing a fracture that reaches to the atmosphere. Important quantities are shown to be the burial depth, source width and fracture width, the soil porosity, the diffusion coefficients in the soil and the (air-filled) fracture, and the decay constant of a radioactive contaminant. The flux across the soil-air interface is calculated and shown to be greatly increased by the presence of the fracture. The flux is found to increase with fracture width and source width, to decrease with increasing soil porosity and decay constant, and to decrease with increasing ratio of soil diffusion coefficient to air diffusion coefficient.

Air Pollution, Radioactive↗

PubMed1984

A continuum model for a red blood cell transformation: sphere to crenated sphere.

The evolution of crenations on the spherical red blood cell, which is part of the reversible disc-sphere transformation of these cells, is considered here. A continuum model is developed where the cell is treated as a small viscous droplet encapsulated by a viscoelastic solid membrane. When a small amount of material is deposited into the membrane, the drop responds by increasing its surface area as manifested by the appearance of ripples. A preferred number of crenations form and they are sustained for long time periods. The inception of crenations is due to a dynamic instability in the governing set of nonlinear equations, and depends on the rheological properties of the droplets' interior and membrane.

Elasticity↗

PubMed1983

Transport of radon through cracks in a concrete slab.

A model involving the use of line sources is developed to describe the transport of radon through the cracks or gaps which appear in concrete slabs used in building foundations. The strength of these sources is determined from the results of the diffusion model proposed by Landman in a previous work. Once the strength of the source is known, additional transport mechanisms can be treated in a simple manner. Pressure differences across the slab and in the underlying soil are discussed. The rate of exhalation through a portion of the cracked slab is determined and compared to the rate of exhalation from the same surface area of bare soil. In typical cases, their ratios vary from 0.25 to 0.50. Therefore, these transport mechanisms account for a larger portion of the levels of radon found in many houses than do previous models.

Background Radiation↗

PubMed1982

Diffusion of radon through cracks in a concrete slab.

A mathematical model is developed to describe diffusion of radon through cracks or gaps in concrete slabs which are used in building foundations. As radon approaches the soil surface from underlying soil, it encounters a concrete slab. The radon will diffuse toward any air-filled cracks. The rate of exhalation through a portion of a cracked slab is determined and compared to the rate of exhalation from the same surface area of bare soil. In a typical case, this ratio is approx. 0.25. This is about a 20-fold increase to the ratio found when the concrete slab has no cracks. Therefore crack pathways are potentially a major source of indoor radon.

Air Pollutants↗