Given the following scale of tissue stiffness, what typical tissue component lik
ID: 3514638 • Letter: G
Question
Given the following scale of tissue stiffness, what typical tissue component likely dominates the mechanics of cartilage? d.) Say, hypothetically, you determined the stiffness of a glial cell and determined the same stiffness. What typical tissue component might dominate brain mechanics?
More info:
The word "Same stiffness" = answer from previous section of question 2 below:
1) Being a young, intrepid student, you have decided to estimate the stiffness of a chondrocyte using an atomic force microscopy. From the supplied tip deflection (d) versus stage position (z) data estimate the
Young’s Modulus of the cell. Treat the cantilever as a Hooken spring with a spring constant of 8 mN/m and conical tip with an opening angle of 18 degrees. Treat the cell as incompressible. Take the contact height, zo, to be 14 nm. (Hint: may want to use an approach based on iteration or curve-fitting.)
2) Does the data suggest that the cell mechanical properties are constant or vary with strain or the penetration depth of the AFM tip? Why? (Hint: calculate the residuals of the fit)
Feel free to use excel or Matlab to aid in your calculations). Please turn in your answers to a and b, work/code/excel spread sheets, and a brief summary of your approach an extra page.
Cantilever
Sample
defelction, d
Height, z
(nm)
(microns)
10
0.409
20
0.923
30
0.969
40
1.268
50
1.323
60
1.309
70
1.614
80
1.654
90
1.959
100
1.938
110
1.764
120
1.993
Cantilever
Sample
defelction, d
Height, z
(nm)
(microns)
10
0.409
20
0.923
30
0.969
40
1.268
50
1.323
60
1.309
70
1.614
80
1.654
90
1.959
100
1.938
110
1.764
120
1.993
Cartilage Precalcified bone Brain Fat Muscle J100 Fibrosis c 0.1 10 Soft tissue elasticity, E (kPa)Explanation / Answer
FIRST PART CARTILAGE IS OF THREE TYPE ELASTIC CARTILAGE, HYALINE CARTILAGE AND FIBRO CARTILAGE. CARTILAGES ARE COMPOSED OF CONDROCYTES WHICH ARE RESPONSIBLE FOR THE PRODUCTION AND SECRETION OF COLLAGEN FIBRES ,PROTEO GLYCANS AND ELASTIN FIBRES AND THE CLASSIFICATION OF CARTILAGE IS BASED ON THE RELATIVE QUANTITY OF COLLAGEN AND PROTEOGLYCAN. SO, THE LATTER TWO COMPONENTS GOVERN THE MECHANICS OF CARTILAGE.
SECOND PART
NERVE CELLS AND NEUROGLIAL CELLS DOMINATE IN BRAIN MECHANICS.
2) Cell mechanical properties vary due to cytoskeletal structures, cellular organells and due toselecting the way to determine the properties. Foe example the stiffness of glal cells and cartilages,due to the origin, location, ultrastructure and mode of functions are different so thestiffness can vary greatly.
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