yes definitely transitions from y(t) = V \* [ 1 - e^(-R \* C \* t) ] to y(t) = V... | Hacker News

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diydsp 9 months ago | parent | context | favorite | on: Length and thickness of bamboo internodes: a beaut...

yes definitely transitions from

y(t) = V * [ 1 - e^(-R * C * t) ]

to

y(t) = V * e^[-R * C * (t-T) ]

since the weight of the plant is cumulative, it's interesting to think about the integral of these functions as they hold up the plant.

mitthrowaway2 9 months ago [–]

Maybe even the double-integral, since the plotted variable is node-number, not length. Integrating once would give node length as a function of height along the stalk, and then integrating a second time (times wall thickness) would give weight.

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