RECREATIONAL MORPHOMETRY
Klly
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This blog consists of two sections (two entries , both started at 2008). The blog is updated about once a week .
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MOTIVATION
To attempt the most simple geometric look we have choosen only a few values .Actually be reduced to only three : g , j and d .
The series 255 can be identified with the following items : breath , sigh , blow , run ,action ...
{ We have found an interesting article in wich an image called our attention :
''A quantitative analysis of the mecanism that controls body size in Manduca sexta '' HF. Nijhout et al. Journal of Biology 2006 , 5 : 16 Pay attention to the image 3b where we see a very illustrative image of the concepts mentioned above . }
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Another one series frequently used in this blog : series ( 1+1/2+1/16+1/32 ) and
series 51 = ( 32+16+2+1 ) :
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On the road , combining g and j with the series (1+1/2+1/16+1/32) we performed one pretty good approximation to ' Pi ' .
According to that we have this depiction :
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There are two concepts related to the matter developed in this page :
1 . FRACTAL : structure that has the same appearence at different scale
2 . ACTION : an atribute of a physical system product of the energy and duration of a process .
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Will to see recreational relationship among Starting values described previously .
Take a look at the following relation among Pi , ( g + j ) and amino acid Glycine . Glicine is the smallest of the 20 amino acids commonly found in proteins .Glycine is coded for by the codon sequences GGU , GGA , GGC , and GGG . Instead of codon , will see relations between amino acid - anticodon . So that Glycine anticodons are : CCA , CCU , CCG and CCC .
Glicine molar mass : [5705]
Cytosine molar mass : [1111]
It's worth to say that we're using significant digits only :
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BIOELEMENTS .
Most of biomolecules are made of Hydrogen , Carbon , Oxygen and Nitrogen .
Using the Starting values such as Pi , the series 51 = (32+16+2+1) and ( g + j ) :
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WATER AND CARBON .
Molar mass of the Water : [18,0156]
Atomic mass of Carbon : [ 12 ]
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SOME GEOMETRIC OBSERVATIONS IN BIOLOGY .
Now , we will use the series ''255''=(1+2+4+8+16+32+64+128) as follow :
SERIES OF 22 ELEMENTS . According to an economy's principle : (1+2+4+8+4+2+1 )
wich remember a palindromic (symetrical) sequence .We call nymph sequence :
The Vulva of Caenorhabditis elegans worm consists of 22 cells . that is , 1+2+4+(8)+4+2+1
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Micro RNAs shows typically an average of 22 nucleotids in length .
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Insulin preproprotein in Homo sapiens has 110 amino acid in length
Insulin 2 preproprotein of Mus musculus has 110 amino acid in length
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Mioglobin molecule of many species has 154 a.a. = 7(22)
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Disacharides such as sucrose and lactose have 22 atoms of hydrogen
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Human mitochondrion encodes 22 t-RNA , required for mitochondrial protein synthesis .
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HUMAN SKULL consists of 22 bones =
the cranium bones : occipital , two parietals , frontal , two temporals , sphenoidal , ethmoidal .
the skeleton of the face : two nasals , two maxillae , two lacrimals , two zigomatics , two palatines , two inferior nasal conchae , vomer , mandible .
VERTEBRAL COLUMN is formed of a series of 33 vertebrae ( 22 + 11 ) :
seven in the cervical region , twelve in the thoracic , five in the lumbar , five fixed in the sacral , and four fixed in the coccygeal .
THE BONES OF THE LOWER EXTREMITY
The hip bone : Ilion , Isquion and Pubis (wich are distinct each to other in the young subject)
Then we have : Femur , Tibia , Patella , Fibula
The bones of the foot : Calcaneus , Talus , cuboid , Navicular , and the first , second and third Cuneiforms .
The Metatarsus consists of five bones .
The phalanges of the foot are two in the great Toe and three in each of the other toes .
So that the sum results 33 bones .
[ Source : ''Grey's Anatomy of the Human body '' ]
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Green plants need to live and grow the molecule of carbon dioxide (CO2) .
The sum total of atomic number of chemical elements involved is equal to 22 : C-6 , O-8 .
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Most of Amino acids are made of carbon , hydrogen , oxygen and nytrogen .
the sum of atomic numbers is :( C-6) +( H-1)+(O-8)+(N-7 )= 22
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Nucleic acids , DNA and RNAs are made of carbon , hydrogen ,oxygen , nytrogen and phosphorus . atomic number of phosphorus is 15 .
so that we apply here a combination or sum of series 22 +15 .
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Dental formula of the ancestral placental mammal is :
I-3/3 , C-1/1 , P-4/4 , M-3/3 . The total are equal to 44 .
Dental formula in Human species (adult) is : 16 teeth in the upper jaw and 16 in the lower jaw .
Using our recreational form we will write as follow :
(1)+(2)+(4)+(8)+(4)+(2)+(1) where numbers coloured in orange has been removed .
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SETS OF THINGS .
Will to apply the series 51=(32+16+2+1) in such a way that exhibits symmetrical appearance :
Say (32+16+2+1+2+16+32) . We call butterfly sequence :
For instance , the worm Caenorhabditis elegans has (when adult) 959 cells . Applying
the series 51 we've performed the following depiction :
Nervous system consists of 302 Neurons
Here you can play with this subject :
( source WORMATLAS )
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Biology and geometry por A . Coe se encuentra bajo una Licencia Creative Commons Atribución-NoComercial 3.0 Unported.