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The doubling time is the time it takes for a population to double in size/value. It is applied to population growth , inflation , resource extraction , consumption of goods, compound interest , the volume of malignant tumours , and many other things that tend to grow over time.
The Gompertz curve or Gompertz function is a type of mathematical model for a time series, named after Benjamin Gompertz (1779–1865). It is a sigmoid function which describes growth as being slowest at the start and end of a given time period.
The formula above can be used for more than calculating the doubling time. If one wants to know the tripling time, for example, replace the constant 2 in the numerator with 3. As another example, if one wants to know the number of periods it takes for the initial value to rise by 50%, replace the constant 2 with 1.5.
The doubling time (t d) of a population is the time required for the population to grow to twice its size. [24] We can calculate the doubling time of a geometric population using the equation: N t = λ t N 0 by exploiting our knowledge of the fact that the population (N) is twice its size (2N) after the doubling time. [20]
RGR is a concept relevant in cases where the increase in a state variable over time is proportional to the value of that state variable at the beginning of a time period. In terms of differential equations , if S {\displaystyle S} is the current size, and d S d t {\displaystyle {\frac {dS}{dt}}} its growth rate, then relative growth rate is
Casey Means, MD, author of “Good Energy,” discovered that the pathway to optimal health starts with your fork. Read an excerpt of her new book and eat better.
First-time homebuyers and renters would welcome more affordability, while homeowners and investors would lose money. Not everyone foresees softening home prices or rents. Goldman Sachs forecasts 4 ...
Wu et al. (1994) reproduced the human-derived LNCaP tumors in immunocompromised mice by co-injection of LNCaP cells with MS human bone fibroblasts. [6] Cells were subcutaneously injected at multiple sites into the mouse flank and after approximately 4 weeks of growth, tumors were easily detectable by physical examination and had a high rate of growth (17-33 mm3/day).