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Growth Factor
What is the relationship between the growth factor of an exponential and its Δy/Δx vs y?
How can I find what the growth factor of the exponential model is, from the Δy/Δx vs y equation? How do they relate to each other?
What do you mean by "Δy/Δx"? Are you referring to the standard "dy/dx," denoting a derivative?
The Δ symbol does indicate change... as does the 'd' in Leibniz's notation of the derivative... but the 'd' refers to an infinitesimal change while Δ refers to any finite change.
Anyway... the rate of change of any exponential function y = a^x will have a value of ln(a)⋅a^x
If y = a^x then
y' = dy/dx = ln(a)⋅a^x
It is no coincidence that the transcendental number 'e', Euler's number (approx 2.718281828...) works beautifully with this.
If y = e^x
then y' = dy/dx = e^x
... the functional value and its instantaneous slopes are the same.
That is no coincidence. This is the defining basis for what 'e' is. The value for e was evaluated using the above definitions
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Dr. McDougall and Insulin-like Growth Factor 1
When was the nerve growth factor discovered?
I know that Rita-Levi Montalcini won a Nobel Prize in 1986 for helping to discover the NGF but I can not find when she discovered it. List sources please
Nerve growth factor (NGF) is a hormone-like protein produced by target cells throughout the body that controls growth of axons (fibers) that connect embryonic nerve cells and is also required for their survival. NGF, discovered in the 1950s by the Italian-American biochemist Rita Levi-Montalcini, was the first of a number of growth factors that control cell development.
The chemical, which she named nerve growth factor, was purified and its protein structure determined by Levi-Montalcini's colleague Stanley Cohen in 1953. The two scientists received the 1986 Nobel prize in physiology or medicine for this work. NGF's complete amino acid sequence was accomplished in 1971 by the American biochemists Ruth Hogue Angeletti and Ralph Bradshaw using a technique developed by the Italian biochemists Vincenzo Bocchini and Pietro Angeletti.
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