Leibniz (unit)
Encyclopedia
A leibniz is a unit used in systems biology
Systems biology
Systems biology is a term used to describe a number of trends in bioscience research, and a movement which draws on those trends. Proponents describe systems biology as a biology-based inter-disciplinary study field that focuses on complex interactions in biological systems, claiming that it uses...

 and in mathematics
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...

. One leibniz is defined as one mole
Mole (unit)
The mole is a unit of measurement used in chemistry to express amounts of a chemical substance, defined as an amount of a substance that contains as many elementary entities as there are atoms in 12 grams of pure carbon-12 , the isotope of carbon with atomic weight 12. This corresponds to a value...

 of differential equations. Therefore, the number of differential equations in a leibniz is Avogadro's number
Avogadro's number
In chemistry and physics, the Avogadro constant is defined as the ratio of the number of constituent particles N in a sample to the amount of substance n through the relationship NA = N/n. Thus, it is the proportionality factor that relates the molar mass of an entity, i.e...

, 6.022×1023.

The leibniz is used in systems biology to describe an approximate, but very large number of governing system equations, such as one might encounter in a complete mathematical model of a living cell or organism in silico, or a decidedly smaller subset of cellular interactions such as the EGFR/ERK signalling network that governs growth and differentiation of many mammalian cells. When first introducing the leibniz, Huang and Wikswo
John Wikswo
John Peter Wikswo, Jr. is a biological physicist at Vanderbilt University. He was born in Lynchburg, Virginia, United States.Wikswo is noted for his work on biomagnetism and cardiac electrophysiology.-Graduate school:...

 estimate that simulating "the electrical activity of the heart during ten seconds of fibrillation
Fibrillation
Fibrillation is the rapid, irregular, and unsynchronized contraction of muscle fibers. An important occurrence is with regards to the heart.-Cardiology:There are two major classes of cardiac fibrillation: atrial fibrillation and ventricular fibrillation....

 could easily require solving 1018 coupled differential equations ... (N.B., Avogadro’s number of differential equations may be defined as one Leibniz, so 10 s of fibrillation corresponds to a micro-Leibniz problem.)" "Leibnitz"
Leibnitz (disambiguation)
Leibnitz is a town in the Austrian state of Styria.Leibnitz may also refer to:* Gottfried Wilhelm Leibniz , German polymath* Leibnitz , a huge lunar crater* Leibnitz , Styria, Austria...

 is an alternative spelling of Leibniz.

It is named in honor of Gottfried Leibniz
Gottfried Leibniz
Gottfried Wilhelm Leibniz was a German philosopher and mathematician. He wrote in different languages, primarily in Latin , French and German ....

a German mathematician who is credited with inventing the calculus.
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