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The growth of the yeast can be studied with a Logistic model (i.e. differential equation) as follows: $$ \frac{dX}{dt}=\mu X \left(1 - \frac{X}{X_{max}} \right) $$ This is an ordinary differential equation that tells you how the population of yeast is changing with time (in fact is telling you how the concentration of Yeast $X$ changes with time). The two ...


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The difference in DNA replication rate between prokaryotes and eukaryotes is still under current research, but the basics are understood. It is very much a matter of complexity, as eukaryotes are more complex in many different ways. I found a very useful reference for this and other kinds of related questions. Briefly, some possible reasons: [...] in ...


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Some clarifications: Commonly used models for bacterial isothermal growth curves (which represent the growth curve directly) are for example: Exponential Logistic Generalized logistic The Monod equation expresses how the growth rate changes with the availability of substrate see a related question here. The Monod equation can be incorporated into an ...


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the more biologically grounded Monod growth Why is the Monod model more biologically grounded? It is empiric and NOT based on biological considerations! I only know this equation from enzyme kinetics, not for cell-growth, where the identical Michaelis–Menten equation assumes a random collusion model. So according to this model, your cells would grow more, ...


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Your question falls into an area of study known as allometry. It is generally believed that brain size must increase as body size increases1,2. This relationship has been demonstrated in fish 3,4, including carp. This phenomenon is also seen in other (non-mammalian) vertebrates including the Nile Crocodile (Crocodylus niloticus)5. This continued growth is ...


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The simple logistic function that you are using here is a fine first-order approximation for modeling microbial growth. Both logarithmic and linear scales are reasonable, with different tradeoffs as explained below. It is unsurprising that these two scales will give slightly different numbers, however, as the exponential approach gives more relative weight ...


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For the logistic equation, $$\frac{\mathrm{d}N(t)}{\mathrm{d}t} = rN(t)\left(\frac{K - N(t)}{K}\right)$$ the solution that allows you to calculate population population size at any time is: $$N(t) = \frac{N(0)Ke^{rt}}{K - N(0) + N(0)e^{rt}}.$$ Looking at this equation algebraically with a set of knowns—$K$, $t$, and $N(t)$—and a set of unknowns—$r$ and $N(0)$...


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The answer is that they will do either or both, depending on conditions: this is one of the things that has caused complex systems scientists to be so interested in things like using slime molds in modeling optimization problems. In good nutritional conditions, the cells will happily multiply. At the same time, they will flow and reshape themselves to spread ...


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According to https://en.wikipedia.org/wiki/Human_hair_growth: Scalp hair is known to grow between 0.6cm and 3.36cm per month. The growth rate of scalp hair somewhat depends on age (hair tends to grow more slowly with age), sex, and ethnicity. It was previously thought that Caucasian hair grew more quickly than Asian hair and that the growth rate of women's ...


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You could place part of the mould into a cut in a piece of citrus fruit to continue its growth. Citrus can also host P. italicum, the below website is one mentioning how to differentiate between them. http://www.pestnet.org/fact_sheets/citrus_storage_moulds_197.html Hazards. Aspergillosis: (fungal spores growing in the lungs) which is uncommon. Asthma: ...


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The approach depends on what is known besides the data points. Non-linear regression for parameters $L, k, t_0$ is certainly a thing to try, as the OP author has already done in MSE - judging by the shape of the curve logistic is a good candidate and it is hard to think, how one could improve upon it without introducing additional parameters (and therefore ...


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In general is a good idea to check the scientific literature in the subject. In the section "materials and methods" you could find how people do stuff like measuring growth or controlling pH. Of course, many of the methods described there could be out of reach, but you can get ideas and ask here more specific questions. For this specific question a ...


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