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Logarithmic spiral ( pitch 10°) A section of the Mandelbrot set following a logarithmic spiral. A logarithmic spiral, equiangular spiral, or growth spiral is a self-similar spiral curve that often appears in nature. The first to describe a logarithmic spiral was Albrecht Dürer (1525) who called it an "eternal line" ("ewige Linie").
The proportionately thicker bones in the elephant are an example of allometric scaling. Allometry is the study of the relationship of body size to shape, [1] anatomy, physiology and behaviour, [2] first outlined by Otto Snell in 1892, [3] by D'Arcy Thompson in 1917 in On Growth and Form [4] and by Julian Huxley in 1932.
Confluency. In cell culture biology, confluence refers to the percentage of the surface of a culture dish that is covered by adherent cells. For example, 50 percent confluence means roughly half of the surface is covered, while 100 percent confluence means the surface is completely covered by the cells, and no more room is left for the cells to ...
A logistic function or logistic curve is a common S-shaped curve ( sigmoid curve) with the equation. where. , the value of the function's midpoint; , the supremum of the values of the function; , the logistic growth rate or steepness of the curve. [1] Standard logistic function where. For values of in the domain of real numbers from to , the S ...
Sub-exponential growth. A common explanation for the growth of epidemics holds that 1 person infects 2, those 2 infect 4 and so on and so on with the number of infected doubling every generation. It is analogous to a game of tag where 1 person tags 2, those 2 tag 4 others who've never been tagged and so on. As this game progresses it becomes ...
Biology. Auxology, the study of all aspects of human physical growth. Bacterial growth. Cell growth. Growth hormone, a peptide hormone that stimulates growth. Human development (biology) Plant growth. Secondary growth, growth that thickens woody plants. A tumor or other such neoplasm.
A Malthusian growth model, sometimes called a simple exponential growth model, is essentially exponential growth based on the idea of the function being proportional to the speed to which the function grows. The model is named after Thomas Robert Malthus, who wrote An Essay on the Principle of Population (1798), one of the earliest and most ...
This definition has the advantage that it does not rely on the exponential function or any trigonometric functions; the definition is in terms of an integral of a simple reciprocal. As an integral, ln( t ) equals the area between the x -axis and the graph of the function 1/ x , ranging from x = 1 to x = t .