The role of Calculus in Biology?

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Calculus plays a significant role in biology, particularly in modeling biological systems and interactions. It is essential for understanding population genetics, such as analyzing allele frequency changes and disease spread. In medicine, calculus is used to model brain activity and heart rate in relation to drug concentration. While medical doctors may not frequently use calculus, biomedical researchers and pharmacists require a solid understanding of calculus for tasks like pharmacokinetics, which involves the study of drug absorption and reaction rates. Overall, calculus is crucial for creating accurate models of biological processes and understanding complex interactions within the body.
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Hello to all. I work with someone who is majoring in Biology who hopes to become a medical doctor in time. I believe that at least at my school, calculus is not a part of the biology curriculum.

I would like to know from those of you who know biology and calculus:

1) How much of a role does calculus play in biology? Are there some biological systems which are most properly modeled by calc or differential equations?

2) What about chains of biological interactions, especially those of medicines or different chemicals of the body? My intuition tells me that absorption rates and various chemical reaction rates are probably governed by differential equations.

3) Is calc eventually required to study how medicines interact with the body?

I'm just a curious engineer.
 
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KingNothing said:
Hello to all. I work with someone who is majoring in Biology who hopes to become a medical doctor in time. I believe that at least at my school, calculus is not a part of the biology curriculum.

I would like to know from those of you who know biology and calculus:

1) How much of a role does calculus play in biology? Are there some biological systems which are most properly modeled by calc or differential equations?

2) What about chains of biological interactions, especially those of medicines or different chemicals of the body? My intuition tells me that absorption rates and various chemical reaction rates are probably governed by differential equations.

3) Is calc eventually required to study how medicines interact with the body?

I'm just a curious engineer.

Plenty of examples there.

A notable use is in population genetics. For example making a mathematical model for analyzing allele frequency changing over time in a given population, or analyzing the spread of a disease in a population etc.

In addition, genetic fitness always tends towards the local maxima. In fact a measure of genetic fitness uses calculus in its equation.http://en.wikipedia.org/wiki/Fitness_(biology)#Hartl.27s_Definition

Also check this.


As you rightly said, it also has important uses in medicine. For example, you could have brain activity or heart rate as a function of drug concentration.


There are many other examples as well. Other more qualified people here will definitely help, as I am currently studying both biology and calculus.
 
Doctors have little use for calculus. Biomedical researchers, OTOH, should be reasonably fluent in calculus- it's required for any physio-chemical model of a biological process (reaction rates, energetics, imaging techniques, dosimetry, physiology, etc).
 
if you went into pharmacy, you would have to study pharmacokinetics.
http://en.wikipedia.org/wiki/Pharmacokinetics

years ago, i did computer sims of some control laws for drug kinetics using state space variables and kalman filters. that's more the engineering side, but the pharmacists still need to know the underlying math even if they are using computer programs to do all the work.
 
https://www.discovermagazine.com/the-deadliest-spider-in-the-world-ends-lives-in-hours-but-its-venom-may-inspire-medical-miracles-48107 https://en.wikipedia.org/wiki/Versutoxin#Mechanism_behind_Neurotoxic_Properties https://www.sciencedirect.com/science/article/abs/pii/S0028390817301557 (subscription or purchase requred) he structure of versutoxin (δ-atracotoxin-Hv1) provides insights into the binding of site 3 neurotoxins to the voltage-gated sodium channel...
Popular article referring to the BA.2 variant: Popular article: (many words, little data) https://www.cnn.com/2022/02/17/health/ba-2-covid-severity/index.html Preprint article referring to the BA.2 variant: Preprint article: (At 52 pages, too many words!) https://www.biorxiv.org/content/10.1101/2022.02.14.480335v1.full.pdf [edited 1hr. after posting: Added preprint Abstract] Cheers, Tom
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