- published: 31 Jan 2012
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Kleiber's law, named after Max Kleiber's biological work in the early 1930s, is the observation that, for the vast majority of animals, an animal's metabolic rate scales to the ¾ power of the animal's mass. Symbolically: if q0 is the animal's metabolic rate, and M the animal's mass, then Kleiber's law states that q0 ~ M¾. Thus a cat, having a mass 100 times that of a mouse, will have a metabolism roughly 32 times greater than that of a mouse. In plants, the exponent is close to 1.
Max Kleiber was born and educated in Zurich, Switzerland. He graduated from the Federal Institute of Technology as an Agricultural Chemist in 1920, earned the ScD degree in 1924, and became a private dozent after publishing his thesis The Energy Concept in the Science of Nutrition.
He came to the Animal Husbandry Department of UC Davis in 1929 to construct respiration chambers and conduct research on energy metabolism in animals. Among his many important achievements, two are especially noteworthy. In 1932 he came to the conclusion that the ¾ power of body weight was the most reliable basis for predicting the basal metabolic rate (BMR) of animals and for comparing nutrient requirements among animals of different size. He also provided the basis for the conclusion that total efficiency of energy utilization is independent of body size. These concepts and several others fundamental for understanding energy metabolism are discussed in Kleiber's book, The Fire of Life published in 1961 and subsequently translated into German, Polish, Spanish, and Japanese.
The fraction three quarters has a particular interest to biologists because of its link to the research of Max Kleiber and metabolic rates in animals. More links & stuff in full description below ↓↓↓ This video features Thomas Woolley from the University of Oxford. Tom thanks @gameboygenius for pointing out the following: Small mistake. I think where you said they expected MR ∝ r^(2/3) you actually meant to say MR ∝ m^(2/3). If you take the r/V/A relations and solve for A, you get A ∝ V^(2/3). Mass is proportional to volume, so roughly A ∝ m^(2/3). If we then assume MR is proportional to area, the final assumption would be MR ∝ m^(2/3)." NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/...
There is a secret to maximum innovation, which is precisely: the application of Kleiber's Law. This application specifically refers to learning MORE WEAK SKILLS than strong skills sets, and concentrating in the few strong skills. Website: www.jobnhub.com Email: info@jobnhub.com FB: www.facebook.com/jobnhub Phone: 01714007728 Kleiber's Law was tested out by Geoffrey West (a data researcher) and applied to cities. The relationship between innovation in cities & the population was superlinear. This means that cities work like networks which increase superlinearly, which is PRECISELY what the brain does as well. Every time the brain comes up with an 'idea', it is the cumulative effect of exposure from different fields (which light up different neural synapses, which work like networks), rath...
Check out The BFG, July 1st: http://fandan.co/28Tsc3A **This video was done in partnership with Disney. The views and opinions represented are my own.** ***Click "SHOW MORE" for links*** instagram: http://instagr.am/jakerawr twitter: http://twitter.com/vsaucethree facebook: http://facebook.com/vsauce3 What Would Happen if You Were Shrunk?: https://youtu.be/xkvo-DrU2gM Let's learn about dinosaurs! http://www.enchantedlearning.com/subjects/dinosaurs/facts/Trex Not into dinosaurs? What about soil mechanics? http://environment.uwe.ac.uk/geocal/SoilMech/basic/soilbasi.htm Woah, you're tough to please...let's try an analysis of animals running: http://www.sjsu.edu/faculty/watkins/alexander.htm I'm gonna lay down the law. The Kleiber's Law: https://universe-review.ca/R10-35-metabolic.htm ...
The abc Conjecture may have been proven by a Japanese mathematician - but what is it? More links & stuff in full description below ↓↓↓ Feeling brave and want to read the papers by Shinichi Mochizuki - http://www.kurims.kyoto-u.ac.jp/~motizuki/papers-english.html (scroll to the bottom) This video features Dr James Grime who tweets at https://twitter.com/jamesgrime NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasio...
In today's Book-Of-The-Day we look at "Where Good Ideas Come From" by Steven Johnson. If you want to buy this book and get the 'Smart Reading Course', the ‘67 Steps Video Series', and Tai's personal book notes. Also check out Tai’s new TV show every day at 11:30 am PST on TaiLopez.com There may be no better skill to possess in the world than the ability to come up with good ideas. Think about it. The reward for good ideas is massive. Mark Zuckerberg definitely knows the value of a great idea. For him it’s roughly $33.3 billion dollars. Now, you might not need a billion dollars. But according to Daniel Kahneman and his research, you definitely need at least $75,000 a year. Good ideas have the potential to change your bank account. Good ideas also have the potential to change your...
In French culture, it is traditional for all grades to be out of 20 - and many teachers will NEVER give full marks! More links & stuff in full description below ↓↓↓ Featuring Dr Paul Smith, from the School of Modern Languages and Cultures at the University of Nottingham. More on French numbers: http://www.youtube.com/watch?v=WM1FFhaWj9w NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.c...
Insightful look at what humans were designed to eat. A variety of evidence ranging from cave painting, to hominid fecal analysis to Kleiber's law