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Modeling Uniaxial Nonuniform Cell Proliferation
Bulletin of Mathematical Biology, 2019Growth in biological systems occurs as a consequence of cell proliferation fueled by a nutrient supply. In general, the nutrient gradient of the system will be nonconstant, resulting in biased cell proliferation. We develop a uniaxial discrete cellular automaton with biased cell proliferation using a probability distribution which reflects the nutrient
Lai De Oliveira, Alexander +1 more
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EIGENFREQUENCIES OF NONUNIFORM BEAMS
AIAA Journal, 1963Summary Most of the approximate methods (Rayleigh-Ritz, iteration, etc.) for computing eigenfrequencies of structures yield upper bounds. Lower bounds are usually less easy to estimate and often present larger discrepancies from the exact values. There are cases, however, where methods of mass and/or flexibility decomposition, applicable to composite ...
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The Nonuniform Transmission Line
Proceedings of the IRE, 1932The problem of transmission of periodic waves along a transmission line, whose series impedance and shunt admittance per unit length very as any powers of the distance from some point, is solved. The solution is given in terms of Bessel functions. A length of such a line is considered as a four-terminal network, and the more important parameters of the
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Nonuniform Flow Through Nozzles
Journal of Aircraft, 1977The jet thrust and the required throat area for a propulsion nozzle may be calculated from the measured stagnation pressure, the stagnation temperature, and the upstream static pressure of the flow entering the nozzle. For flows with nonuniformities in the stagnation quantities and in exit static pressure, integral relations are developed which allow ...
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Structure of Nonuniform Liquids
American Journal of Physics, 1959In an earlier paper in this Journal the modern arguments which lead to an understanding of a simple classical liquid under uniform conditions were considered. The more general case of nonuniform liquids is treated in the present paper and the methods currently used to determine the physical structure under these conditions are explained.
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Interaction of Nonuniform Shock Waves
Journal of Applied Physics, 1956The basic interactions of nonuniform shock waves in one-dimensional unsteady and two-dimensional steady flow, are analyzed by mapping into the hodograph plane, neglecting effects of third and higher orders in the shock strength. The resulting equations are linear and can be solved by straightforward numerical calculation.
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