char = A;code = 65 char = n;code = 110 char = ;code = 32 char = i;code = 105 char = m;code = 109 char = p;code = 112 char = r;code = 114 char = o;code = 111 char = v;code = 118 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = m;code = 109 char = e;code = 101 char = t;code = 116 char = h;code = 104 char = o;code = 111 char = d;code = 100 char = ;code = 32 char = t;code = 116 char = o;code = 111 char = ;code = 32 char = a;code = 97 char = s;code = 115 char = s;code = 115 char = e;code = 101 char = s;code = 115 char = s;code = 115 char = ;code = 32 char = t;code = 116 char = o;code = 111 char = r;code = 114 char = s;code = 115 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = a;code = 97 char = l;code = 108 char = ;code = 32 char = p;code = 112 char = r;code = 114 char = o;code = 111 char = p;code = 112 char = e;code = 101 char = r;code = 114 char = t;code = 116 char = i;code = 105 char = e;code = 101 char = s;code = 115 char = ;code = 32 char = o;code = 111 char = f;code = 102 char = ;code = 32 char = r;code = 114 char = o;code = 111 char = d;code = 100 char = e;code = 101 char = n;code = 110 char = t;code = 116 char = ;code = 32 char = l;code = 108 char = o;code = 111 char = n;code = 110 char = g;code = 103 char = ;code = 32 char = b;code = 98 char = o;code = 111 char = n;code = 110 char = e;code = 101 char = s;code = 115 char = .;code = 46 result sql = An improved method to assess torsional properties of rodent long bones.
An improved method to assess torsional properties of rodent long bones.char = T;code = 84 char = o;code = 111 char = r;code = 114 char = s;code = 115 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = ;code = 32 char = i;code = 105 char = s;code = 115 char = ;code = 32 char = a;code = 97 char = n;code = 110 char = ;code = 32 char = i;code = 105 char = m;code = 109 char = p;code = 112 char = o;code = 111 char = r;code = 114 char = t;code = 116 char = a;code = 97 char = n;code = 110 char = t;code = 116 char = ;code = 32 char = t;code = 116 char = e;code = 101 char = s;code = 115 char = t;code = 116 char = i;code = 105 char = n;code = 110 char = g;code = 103 char = ;code = 32 char = m;code = 109 char = o;code = 111 char = d;code = 100 char = a;code = 97 char = l;code = 108 char = i;code = 105 char = t;code = 116 char = y;code = 121 char = ;code = 32 char = c;code = 99 char = o;code = 111 char = m;code = 109 char = m;code = 109 char = o;code = 111 char = n;code = 110 char = l;code = 108 char = y;code = 121 char = ;code = 32 char = u;code = 117 char = s;code = 115 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = t;code = 116 char = o;code = 111 char = ;code = 32 char = c;code = 99 char = a;code = 97 char = l;code = 108 char = c;code = 99 char = u;code = 117 char = l;code = 108 char = a;code = 97 char = t;code = 116 char = e;code = 101 char = ;code = 32 char = s;code = 115 char = t;code = 116 char = r;code = 114 char = u;code = 117 char = c;code = 99 char = t;code = 116 char = u;code = 117 char = r;code = 114 char = a;code = 97 char = l;code = 108 char = ;code = 32 char = p;code = 112 char = r;code = 114 char = o;code = 111 char = p;code = 112 char = e;code = 101 char = r;code = 114 char = t;code = 116 char = i;code = 105 char = e;code = 101 char = s;code = 115 char = ;code = 32 char = o;code = 111 char = f;code = 102 char = ;code = 32 char = l;code = 108 char = o;code = 111 char = n;code = 110 char = g;code = 103 char = ;code = 32 char = b;code = 98 char = o;code = 111 char = n;code = 110 char = e;code = 101 char = s;code = 115 char = .;code = 46 char = ;code = 32 char = H;code = 72 char = o;code = 111 char = w;code = 119 char = e;code = 101 char = v;code = 118 char = e;code = 101 char = r;code = 114 char = ,;code = 44 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = e;code = 101 char = f;code = 102 char = f;code = 102 char = e;code = 101 char = c;code = 99 char = t;code = 116 char = s;code = 115 char = ;code = 32 char = o;code = 111 char = f;code = 102 char = ;code = 32 char = s;code = 115 char = i;code = 105 char = z;code = 122 char = e;code = 101 char = ;code = 32 char = a;code = 97 char = n;code = 110 char = d;code = 100 char = ;code = 32 char = g;code = 103 char = e;code = 101 char = o;code = 111 char = m;code = 109 char = e;code = 101 char = t;code = 116 char = r;code = 114 char = y;code = 121 char = ;code = 32 char = m;code = 109 char = u;code = 117 char = s;code = 115 char = t;code = 116 char = ;code = 32 char = b;code = 98 char = e;code = 101 char = ;code = 32 char = e;code = 101 char = x;code = 120 char = c;code = 99 char = l;code = 108 char = u;code = 117 char = d;code = 100 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = f;code = 102 char = r;code = 114 char = o;code = 111 char = m;code = 109 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = o;code = 111 char = v;code = 118 char = e;code = 101 char = r;code = 114 char = a;code = 97 char = l;code = 108 char = l;code = 108 char = ;code = 32 char = s;code = 115 char = t;code = 116 char = r;code = 114 char = u;code = 117 char = c;code = 99 char = t;code = 116 char = u;code = 117 char = r;code = 114 char = a;code = 97 char = l;code = 108 char = ;code = 32 char = r;code = 114 char = e;code = 101 char = s;code = 115 char = p;code = 112 char = o;code = 111 char = n;code = 110 char = s;code = 115 char = e;code = 101 char = ;code = 32 char = i;code = 105 char = n;code = 110 char = ;code = 32 char = o;code = 111 char = r;code = 114 char = d;code = 100 char = e;code = 101 char = r;code = 114 char = ;code = 32 char = t;code = 116 char = o;code = 111 char = ;code = 32 char = c;code = 99 char = o;code = 111 char = m;code = 109 char = p;code = 112 char = a;code = 97 char = r;code = 114 char = e;code = 101 char = ;code = 32 char = m;code = 109 char = a;code = 97 char = t;code = 116 char = e;code = 101 char = r;code = 114 char = i;code = 105 char = a;code = 97 char = l;code = 108 char = ;code = 32 char = p;code = 112 char = r;code = 114 char = o;code = 111 char = p;code = 112 char = e;code = 101 char = r;code = 114 char = t;code = 116 char = i;code = 105 char = e;code = 101 char = s;code = 115 char = ;code = 32 char = o;code = 111 char = f;code = 102 char = ;code = 32 char = b;code = 98 char = o;code = 111 char = n;code = 110 char = e;code = 101 char = s;code = 115 char = ;code = 32 char = o;code = 111 char = f;code = 102 char = ;code = 32 char = d;code = 100 char = i;code = 105 char = f;code = 102 char = f;code = 102 char = e;code = 101 char = r;code = 114 char = e;code = 101 char = n;code = 110 char = t;code = 116 char = ;code = 32 char = s;code = 115 char = i;code = 105 char = z;code = 122 char = e;code = 101 char = ,;code = 44 char = ;code = 32 char = a;code = 97 char = g;code = 103 char = e;code = 101 char = ;code = 32 char = a;code = 97 char = n;code = 110 char = d;code = 100 char = ;code = 32 char = s;code = 115 char = p;code = 112 char = e;code = 101 char = c;code = 99 char = i;code = 105 char = e;code = 101 char = s;code = 115 char = .;code = 46 char = ;code = 32 char = W;code = 87 char = e;code = 101 char = ;code = 32 char = h;code = 104 char = a;code = 97 char = v;code = 118 char = e;code = 101 char = ;code = 32 char = d;code = 100 char = e;code = 101 char = v;code = 118 char = e;code = 101 char = l;code = 108 char = o;code = 111 char = p;code = 112 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = a;code = 97 char = ;code = 32 char = n;code = 110 char = e;code = 101 char = w;code = 119 char = ;code = 32 char = m;code = 109 char = e;code = 101 char = t;code = 116 char = h;code = 104 char = o;code = 111 char = d;code = 100 char = ;code = 32 char = t;code = 116 char = o;code = 111 char = ;code = 32 char = a;code = 97 char = n;code = 110 char = a;code = 97 char = l;code = 108 char = y;code = 121 char = z;code = 122 char = e;code = 101 char = ;code = 32 char = t;code = 116 char = o;code = 111 char = r;code = 114 char = s;code = 115 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = a;code = 97 char = l;code = 108 char = ;code = 32 char = p;code = 112 char = r;code = 114 char = o;code = 111 char = p;code = 112 char = e;code = 101 char = r;code = 114 char = t;code = 116 char = i;code = 105 char = e;code = 101 char = s;code = 115 char = ;code = 32 char = o;code = 111 char = f;code = 102 char = ;code = 32 char = b;code = 98 char = o;code = 111 char = n;code = 110 char = e;code = 101 char = s;code = 115 char = ;code = 32 char = u;code = 117 char = s;code = 115 char = i;code = 105 char = n;code = 110 char = g;code = 103 char = ;code = 32 char = a;code = 97 char = c;code = 99 char = t;code = 116 char = u;code = 117 char = a;code = 97 char = l;code = 108 char = ;code = 32 char = c;code = 99 char = r;code = 114 char = o;code = 111 char = s;code = 115 char = s;code = 115 char = -;code = 45 char = s;code = 115 char = e;code = 101 char = c;code = 99 char = t;code = 116 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = a;code = 97 char = l;code = 108 char = ;code = 32 char = i;code = 105 char = n;code = 110 char = f;code = 102 char = o;code = 111 char = r;code = 114 char = m;code = 109 char = a;code = 97 char = t;code = 116 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = ;code = 32 char = a;code = 97 char = n;code = 110 char = d;code = 100 char = ;code = 32 char = l;code = 108 char = e;code = 101 char = n;code = 110 char = g;code = 103 char = t;code = 116 char = h;code = 104 char = -;code = 45 char = w;code = 119 char = i;code = 105 char = s;code = 115 char = e;code = 101 char = ;code = 32 char = g;code = 103 char = e;code = 101 char = o;code = 111 char = m;code = 109 char = e;code = 101 char = t;code = 116 char = r;code = 114 char = i;code = 105 char = c;code = 99 char = a;code = 97 char = l;code = 108 char = ;code = 32 char = v;code = 118 char = a;code = 97 char = r;code = 114 char = i;code = 105 char = a;code = 97 char = t;code = 116 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = s;code = 115 char = ;code = 32 char = o;code = 111 char = b;code = 98 char = t;code = 116 char = a;code = 97 char = i;code = 105 char = n;code = 110 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = b;code = 98 char = y;code = 121 char = ;code = 32 char = m;code = 109 char = i;code = 105 char = c;code = 99 char = r;code = 114 char = o;code = 111 char = -;code = 45 char = c;code = 99 char = o;code = 111 char = m;code = 109 char = p;code = 112 char = u;code = 117 char = t;code = 116 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = t;code = 116 char = o;code = 111 char = p;code = 112 char = o;code = 111 char = g;code = 103 char = r;code = 114 char = a;code = 97 char = p;code = 112 char = h;code = 104 char = i;code = 105 char = c;code = 99 char = ;code = 32 char = (;code = 40 char = m;code = 109 char = i;code = 105 char = c;code = 99 char = r;code = 114 char = o;code = 111 char = C;code = 67 char = T;code = 84 char = );code = 41 char = ;code = 32 char = i;code = 105 char = m;code = 109 char = a;code = 97 char = g;code = 103 char = i;code = 105 char = n;code = 110 char = g;code = 103 char = .;code = 46 char = ;code = 32 char = T;code = 84 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = p;code = 112 char = r;code = 114 char = o;code = 111 char = p;code = 112 char = o;code = 111 char = s;code = 115 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = m;code = 109 char = e;code = 101 char = t;code = 116 char = h;code = 104 char = o;code = 111 char = d;code = 100 char = ;code = 32 char = w;code = 119 char = a;code = 97 char = s;code = 115 char = ;code = 32 char = f;code = 102 char = i;code = 105 char = r;code = 114 char = s;code = 115 char = t;code = 116 char = ;code = 32 char = v;code = 118 char = a;code = 97 char = l;code = 108 char = i;code = 105 char = d;code = 100 char = a;code = 97 char = t;code = 116 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = b;code = 98 char = y;code = 121 char = ;code = 32 char = m;code = 109 char = a;code = 97 char = n;code = 110 char = u;code = 117 char = f;code = 102 char = a;code = 97 char = c;code = 99 char = t;code = 116 char = u;code = 117 char = r;code = 114 char = i;code = 105 char = n;code = 110 char = g;code = 103 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = r;code = 114 char = e;code = 101 char = e;code = 101 char = ;code = 32 char = r;code = 114 char = a;code = 97 char = t;code = 116 char = ;code = 32 char = f;code = 102 char = e;code = 101 char = m;code = 109 char = u;code = 117 char = r;code = 114 char = s;code = 115 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = r;code = 114 char = o;code = 111 char = u;code = 117 char = g;code = 103 char = h;code = 104 char = ;code = 32 char = r;code = 114 char = a;code = 97 char = p;code = 112 char = i;code = 105 char = d;code = 100 char = ;code = 32 char = p;code = 112 char = r;code = 114 char = o;code = 111 char = t;code = 116 char = o;code = 111 char = t;code = 116 char = y;code = 121 char = p;code = 112 char = i;code = 105 char = n;code = 110 char = g;code = 103 char = ;code = 32 char = u;code = 117 char = s;code = 115 char = i;code = 105 char = n;code = 110 char = g;code = 103 char = ;code = 32 char = a;code = 97 char = ;code = 32 char = p;code = 112 char = l;code = 108 char = a;code = 97 char = s;code = 115 char = t;code = 116 char = i;code = 105 char = c;code = 99 char = ;code = 32 char = w;code = 119 char = i;code = 105 char = t;code = 116 char = h;code = 104 char = ;code = 32 char = k;code = 107 char = n;code = 110 char = o;code = 111 char = w;code = 119 char = n;code = 110 char = ;code = 32 char = m;code = 109 char = a;code = 97 char = t;code = 116 char = e;code = 101 char = r;code = 114 char = i;code = 105 char = a;code = 97 char = l;code = 108 char = ;code = 32 char = p;code = 112 char = r;code = 114 char = o;code = 111 char = p;code = 112 char = e;code = 101 char = r;code = 114 char = t;code = 116 char = i;code = 105 char = e;code = 101 char = s;code = 115 char = .;code = 46 char = ;code = 32 char = T;code = 84 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = o;code = 111 char = b;code = 98 char = s;code = 115 char = e;code = 101 char = r;code = 114 char = v;code = 118 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = v;code = 118 char = a;code = 97 char = r;code = 114 char = i;code = 105 char = a;code = 97 char = t;code = 116 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = s;code = 115 char = ;code = 32 char = i;code = 105 char = n;code = 110 char = ;code = 32 char = c;code = 99 char = a;code = 97 char = l;code = 108 char = c;code = 99 char = u;code = 117 char = l;code = 108 char = a;code = 97 char = t;code = 116 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = t;code = 116 char = o;code = 111 char = r;code = 114 char = s;code = 115 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = a;code = 97 char = l;code = 108 char = ;code = 32 char = s;code = 115 char = h;code = 104 char = e;code = 101 char = a;code = 97 char = r;code = 114 char = ;code = 32 char = m;code = 109 char = o;code = 111 char = d;code = 100 char = u;code = 117 char = l;code = 108 char = u;code = 117 char = s;code = 115 char = ;code = 32 char = o;code = 111 char = f;code = 102 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = h;code = 104 char = o;code = 111 char = l;code = 108 char = l;code = 108 char = o;code = 111 char = w;code = 119 char = ;code = 32 char = e;code = 101 char = l;code = 108 char = l;code = 108 char = i;code = 105 char = p;code = 112 char = t;code = 116 char = i;code = 105 char = c;code = 99 char = a;code = 97 char = l;code = 108 char = ;code = 32 char = m;code = 109 char = o;code = 111 char = d;code = 100 char = e;code = 101 char = l;code = 108 char = ;code = 32 char = o;code = 111 char = f;code = 102 char = ;code = 32 char = m;code = 109 char = i;code = 105 char = d;code = 100 char = -;code = 45 char = s;code = 115 char = h;code = 104 char = a;code = 97 char = f;code = 102 char = t;code = 116 char = ;code = 32 char = c;code = 99 char = r;code = 114 char = o;code = 111 char = s;code = 115 char = s;code = 115 char = -;code = 45 char = s;code = 115 char = e;code = 101 char = c;code = 99 char = t;code = 116 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = ;code = 32 char = (;code = 40 char = E;code = 69 char = k;code = 107 char = e;code = 101 char = l;code = 108 char = a;code = 97 char = n;code = 110 char = d;code = 100 char = ;code = 32 char = e;code = 101 char = t;code = 116 char = ;code = 32 char = a;code = 97 char = l;code = 108 char = .;code = 46 char = );code = 41 char = ,;code = 44 char = ;code = 32 char = m;code = 109 char = u;code = 117 char = l;code = 108 char = t;code = 116 char = i;code = 105 char = -;code = 45 char = p;code = 112 char = r;code = 114 char = i;code = 105 char = s;code = 115 char = m;code = 109 char = a;code = 97 char = t;code = 116 char = i;code = 105 char = c;code = 99 char = ;code = 32 char = m;code = 109 char = o;code = 111 char = d;code = 100 char = e;code = 101 char = l;code = 108 char = ;code = 32 char = o;code = 111 char = f;code = 102 char = ;code = 32 char = f;code = 102 char = i;code = 105 char = v;code = 118 char = e;code = 101 char = ;code = 32 char = t;code = 116 char = r;code = 114 char = u;code = 117 char = e;code = 101 char = ;code = 32 char = c;code = 99 char = r;code = 114 char = o;code = 111 char = s;code = 115 char = s;code = 115 char = -;code = 45 char = s;code = 115 char = e;code = 101 char = c;code = 99 char = t;code = 116 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = s;code = 115 char = ;code = 32 char = (;code = 40 char = L;code = 76 char = e;code = 101 char = v;code = 118 char = e;code = 101 char = n;code = 110 char = s;code = 115 char = t;code = 116 char = o;code = 111 char = n;code = 110 char = ;code = 32 char = e;code = 101 char = t;code = 116 char = ;code = 32 char = a;code = 97 char = l;code = 108 char = .;code = 46 char = );code = 41 char = ;code = 32 char = a;code = 97 char = n;code = 110 char = d;code = 100 char = ;code = 32 char = m;code = 109 char = u;code = 117 char = l;code = 108 char = t;code = 116 char = i;code = 105 char = -;code = 45 char = s;code = 115 char = l;code = 108 char = i;code = 105 char = c;code = 99 char = e;code = 101 char = ;code = 32 char = m;code = 109 char = o;code = 111 char = d;code = 100 char = e;code = 101 char = l;code = 108 char = ;code = 32 char = p;code = 112 char = r;code = 114 char = e;code = 101 char = s;code = 115 char = e;code = 101 char = n;code = 110 char = t;code = 116 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = i;code = 105 char = n;code = 110 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = i;code = 105 char = s;code = 115 char = ;code = 32 char = s;code = 115 char = t;code = 116 char = u;code = 117 char = d;code = 100 char = y;code = 121 char = ;code = 32 char = w;code = 119 char = e;code = 101 char = r;code = 114 char = e;code = 101 char = ;code = 32 char = 9;code = 57 char = 6;code = 54 char = %;code = 37 char = ,;code = 44 char = ;code = 32 char = -;code = 45 char = 7;code = 55 char = %;code = 37 char = ;code = 32 char = a;code = 97 char = n;code = 110 char = d;code = 100 char = ;code = 32 char = 6;code = 54 char = %;code = 37 char = ;code = 32 char = f;code = 102 char = r;code = 114 char = o;code = 111 char = m;code = 109 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = a;code = 97 char = c;code = 99 char = t;code = 116 char = u;code = 117 char = a;code = 97 char = l;code = 108 char = ;code = 32 char = p;code = 112 char = r;code = 114 char = o;code = 111 char = p;code = 112 char = e;code = 101 char = r;code = 114 char = t;code = 116 char = i;code = 105 char = e;code = 101 char = s;code = 115 char = ;code = 32 char = o;code = 111 char = f;code = 102 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = p;code = 112 char = l;code = 108 char = a;code = 97 char = s;code = 115 char = t;code = 116 char = i;code = 105 char = c;code = 99 char = ,;code = 44 char = ;code = 32 char = r;code = 114 char = e;code = 101 char = s;code = 115 char = p;code = 112 char = e;code = 101 char = c;code = 99 char = t;code = 116 char = i;code = 105 char = v;code = 118 char = e;code = 101 char = l;code = 108 char = y;code = 121 char = .;code = 46 char = ;code = 32 char = S;code = 83 char = u;code = 117 char = b;code = 98 char = s;code = 115 char = e;code = 101 char = q;code = 113 char = u;code = 117 char = e;code = 101 char = n;code = 110 char = t;code = 116 char = l;code = 108 char = y;code = 121 char = ,;code = 44 char = ;code = 32 char = w;code = 119 char = e;code = 101 char = ;code = 32 char = u;code = 117 char = s;code = 115 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = i;code = 105 char = s;code = 115 char = ;code = 32 char = m;code = 109 char = e;code = 101 char = t;code = 116 char = h;code = 104 char = o;code = 111 char = d;code = 100 char = ;code = 32 char = t;code = 116 char = o;code = 111 char = ;code = 32 char = d;code = 100 char = e;code = 101 char = r;code = 114 char = i;code = 105 char = v;code = 118 char = e;code = 101 char = ;code = 32 char = r;code = 114 char = e;code = 101 char = l;code = 108 char = a;code = 97 char = t;code = 116 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = s;code = 115 char = h;code = 104 char = i;code = 105 char = p;code = 112 char = s;code = 115 char = ;code = 32 char = e;code = 101 char = x;code = 120 char = p;code = 112 char = r;code = 114 char = e;code = 101 char = s;code = 115 char = s;code = 115 char = i;code = 105 char = n;code = 110 char = g;code = 103 char = ;code = 32 char = t;code = 116 char = o;code = 111 char = r;code = 114 char = s;code = 115 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = a;code = 97 char = l;code = 108 char = ;code = 32 char = p;code = 112 char = r;code = 114 char = o;code = 111 char = p;code = 112 char = e;code = 101 char = r;code = 114 char = t;code = 116 char = i;code = 105 char = e;code = 101 char = s;code = 115 char = ;code = 32 char = o;code = 111 char = f;code = 102 char = ;code = 32 char = r;code = 114 char = a;code = 97 char = t;code = 116 char = ;code = 32 char = c;code = 99 char = o;code = 111 char = r;code = 114 char = t;code = 116 char = i;code = 105 char = c;code = 99 char = a;code = 97 char = l;code = 108 char = ;code = 32 char = b;code = 98 char = o;code = 111 char = n;code = 110 char = e;code = 101 char = ;code = 32 char = a;code = 97 char = s;code = 115 char = ;code = 32 char = a;code = 97 char = ;code = 32 char = f;code = 102 char = u;code = 117 char = n;code = 110 char = c;code = 99 char = t;code = 116 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = ;code = 32 char = o;code = 111 char = f;code = 102 char = ;code = 32 char = m;code = 109 char = u;code = 117 char = C;code = 67 char = T;code = 84 char = -;code = 45 char = b;code = 98 char = a;code = 97 char = s;code = 115 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = b;code = 98 char = o;code = 111 char = n;code = 110 char = e;code = 101 char = ;code = 32 char = v;code = 118 char = o;code = 111 char = l;code = 108 char = u;code = 117 char = m;code = 109 char = e;code = 101 char = ;code = 32 char = f;code = 102 char = r;code = 114 char = a;code = 97 char = c;code = 99 char = t;code = 116 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = ;code = 32 char = o;code = 111 char = r;code = 114 char = ;code = 32 char = a;code = 97 char = p;code = 112 char = p;code = 112 char = a;code = 97 char = r;code = 114 char = e;code = 101 char = n;code = 110 char = t;code = 116 char = ;code = 32 char = d;code = 100 char = e;code = 101 char = n;code = 110 char = s;code = 115 char = i;code = 105 char = t;code = 116 char = y;code = 121 char = ;code = 32 char = o;code = 111 char = v;code = 118 char = e;code = 101 char = r;code = 114 char = ;code = 32 char = a;code = 97 char = ;code = 32 char = r;code = 114 char = a;code = 97 char = n;code = 110 char = g;code = 103 char = e;code = 101 char = ;code = 32 char = o;code = 111 char = f;code = 102 char = ;code = 32 char = n;code = 110 char = o;code = 111 char = r;code = 114 char = m;code = 109 char = a;code = 97 char = l;code = 108 char = ;code = 32 char = a;code = 97 char = n;code = 110 char = d;code = 100 char = ;code = 32 char = p;code = 112 char = a;code = 97 char = t;code = 116 char = h;code = 104 char = o;code = 111 char = l;code = 108 char = o;code = 111 char = g;code = 103 char = i;code = 105 char = c;code = 99 char = ;code = 32 char = b;code = 98 char = o;code = 111 char = n;code = 110 char = e;code = 101 char = ;code = 32 char = d;code = 100 char = e;code = 101 char = n;code = 110 char = s;code = 115 char = i;code = 105 char = t;code = 116 char = i;code = 105 char = e;code = 101 char = s;code = 115 char = .;code = 46 char = ;code = 32 char = R;code = 82 char = e;code = 101 char = s;code = 115 char = u;code = 117 char = l;code = 108 char = t;code = 116 char = s;code = 115 char = ;code = 32 char = i;code = 105 char = n;code = 110 char = d;code = 100 char = i;code = 105 char = c;code = 99 char = a;code = 97 char = t;code = 116 char = e;code = 101 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = a;code = 97 char = t;code = 116 char = ;code = 32 char = a;code = 97 char = ;code = 32 char = r;code = 114 char = e;code = 101 char = g;code = 103 char = r;code = 114 char = e;code = 101 char = s;code = 115 char = s;code = 115 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = ;code = 32 char = m;code = 109 char = o;code = 111 char = d;code = 100 char = e;code = 101 char = l;code = 108 char = ;code = 32 char = o;code = 111 char = f;code = 102 char = ;code = 32 char = s;code = 115 char = h;code = 104 char = e;code = 101 char = a;code = 97 char = r;code = 114 char = ;code = 32 char = m;code = 109 char = o;code = 111 char = d;code = 100 char = u;code = 117 char = l;code = 108 char = u;code = 117 char = s;code = 115 char = ;code = 32 char = o;code = 111 char = r;code = 114 char = ;code = 32 char = s;code = 115 char = h;code = 104 char = e;code = 101 char = a;code = 97 char = r;code = 114 char = ;code = 32 char = s;code = 115 char = t;code = 116 char = r;code = 114 char = e;code = 101 char = n;code = 110 char = g;code = 103 char = t;code = 116 char = h;code = 104 char = ;code = 32 char = a;code = 97 char = n;code = 110 char = d;code = 100 char = ;code = 32 char = b;code = 98 char = o;code = 111 char = n;code = 110 char = e;code = 101 char = ;code = 32 char = v;code = 118 char = o;code = 111 char = l;code = 108 char = u;code = 117 char = m;code = 109 char = e;code = 101 char = ;code = 32 char = f;code = 102 char = r;code = 114 char = a;code = 97 char = c;code = 99 char = t;code = 116 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = ;code = 32 char = o;code = 111 char = r;code = 114 char = ;code = 32 char = a;code = 97 char = p;code = 112 char = p;code = 112 char = a;code = 97 char = r;code = 114 char = e;code = 101 char = n;code = 110 char = t;code = 116 char = ;code = 32 char = d;code = 100 char = e;code = 101 char = n;code = 110 char = s;code = 115 char = i;code = 105 char = t;code = 116 char = y;code = 121 char = ;code = 32 char = d;code = 100 char = e;code = 101 char = s;code = 115 char = c;code = 99 char = r;code = 114 char = i;code = 105 char = b;code = 98 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = a;code = 97 char = t;code = 116 char = ;code = 32 char = l;code = 108 char = e;code = 101 char = a;code = 97 char = s;code = 115 char = t;code = 116 char = ;code = 32 char = 8;code = 56 char = 1;code = 49 char = %;code = 37 char = ;code = 32 char = o;code = 111 char = f;code = 102 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = v;code = 118 char = a;code = 97 char = r;code = 114 char = i;code = 105 char = a;code = 97 char = t;code = 116 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = ;code = 32 char = i;code = 105 char = n;code = 110 char = ;code = 32 char = t;code = 116 char = o;code = 111 char = r;code = 114 char = s;code = 115 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = a;code = 97 char = l;code = 108 char = ;code = 32 char = p;code = 112 char = r;code = 114 char = o;code = 111 char = p;code = 112 char = e;code = 101 char = r;code = 114 char = t;code = 116 char = i;code = 105 char = e;code = 101 char = s;code = 115 char = ;code = 32 char = o;code = 111 char = f;code = 102 char = ;code = 32 char = n;code = 110 char = o;code = 111 char = r;code = 114 char = m;code = 109 char = a;code = 97 char = l;code = 108 char = ;code = 32 char = a;code = 97 char = n;code = 110 char = d;code = 100 char = ;code = 32 char = p;code = 112 char = a;code = 97 char = t;code = 116 char = h;code = 104 char = o;code = 111 char = l;code = 108 char = o;code = 111 char = g;code = 103 char = i;code = 105 char = c;code = 99 char = ;code = 32 char = b;code = 98 char = o;code = 111 char = n;code = 110 char = e;code = 101 char = s;code = 115 char = .;code = 46 char = ;code = 32 char = C;code = 67 char = o;code = 111 char = u;code = 117 char = p;code = 112 char = l;code = 108 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = w;code = 119 char = i;code = 105 char = t;code = 116 char = h;code = 104 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = s;code = 115 char = t;code = 116 char = r;code = 114 char = u;code = 117 char = c;code = 99 char = t;code = 116 char = u;code = 117 char = r;code = 114 char = a;code = 97 char = l;code = 108 char = ;code = 32 char = r;code = 114 char = i;code = 105 char = g;code = 103 char = i;code = 105 char = d;code = 100 char = i;code = 105 char = t;code = 116 char = y;code = 121 char = ;code = 32 char = a;code = 97 char = n;code = 110 char = a;code = 97 char = l;code = 108 char = y;code = 121 char = s;code = 115 char = i;code = 105 char = s;code = 115 char = ;code = 32 char = t;code = 116 char = e;code = 101 char = c;code = 99 char = h;code = 104 char = n;code = 110 char = i;code = 105 char = q;code = 113 char = u;code = 117 char = e;code = 101 char = ;code = 32 char = i;code = 105 char = n;code = 110 char = t;code = 116 char = r;code = 114 char = o;code = 111 char = d;code = 100 char = u;code = 117 char = c;code = 99 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = b;code = 98 char = y;code = 121 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = a;code = 97 char = u;code = 117 char = t;code = 116 char = h;code = 104 char = o;code = 111 char = r;code = 114 char = s;code = 115 char = ,;code = 44 char = ;code = 32 char = t;code = 116 char = h;code = 104 char = e;code = 101 char = ;code = 32 char = r;code = 114 char = e;code = 101 char = l;code = 108 char = a;code = 97 char = t;code = 116 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = s;code = 115 char = h;code = 104 char = i;code = 105 char = p;code = 112 char = s;code = 115 char = ;code = 32 char = r;code = 114 char = e;code = 101 char = p;code = 112 char = o;code = 111 char = r;code = 114 char = t;code = 116 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = h;code = 104 char = e;code = 101 char = r;code = 114 char = e;code = 101 char = ;code = 32 char = c;code = 99 char = a;code = 97 char = n;code = 110 char = ;code = 32 char = p;code = 112 char = r;code = 114 char = o;code = 111 char = v;code = 118 char = i;code = 105 char = d;code = 100 char = e;code = 101 char = ;code = 32 char = a;code = 97 char = ;code = 32 char = n;code = 110 char = o;code = 111 char = n;code = 110 char = -;code = 45 char = i;code = 105 char = n;code = 110 char = v;code = 118 char = a;code = 97 char = s;code = 115 char = i;code = 105 char = v;code = 118 char = e;code = 101 char = ;code = 32 char = t;code = 116 char = o;code = 111 char = o;code = 111 char = l;code = 108 char = ;code = 32 char = t;code = 116 char = o;code = 111 char = ;code = 32 char = a;code = 97 char = s;code = 115 char = s;code = 115 char = e;code = 101 char = s;code = 115 char = s;code = 115 char = ;code = 32 char = f;code = 102 char = r;code = 114 char = a;code = 97 char = c;code = 99 char = t;code = 116 char = u;code = 117 char = r;code = 114 char = e;code = 101 char = ;code = 32 char = r;code = 114 char = i;code = 105 char = s;code = 115 char = k;code = 107 char = ;code = 32 char = i;code = 105 char = n;code = 110 char = ;code = 32 char = b;code = 98 char = o;code = 111 char = n;code = 110 char = e;code = 101 char = s;code = 115 char = ;code = 32 char = a;code = 97 char = f;code = 102 char = f;code = 102 char = e;code = 101 char = c;code = 99 char = t;code = 116 char = e;code = 101 char = d;code = 100 char = ;code = 32 char = b;code = 98 char = y;code = 121 char = ;code = 32 char = p;code = 112 char = a;code = 97 char = t;code = 116 char = h;code = 104 char = o;code = 111 char = l;code = 108 char = o;code = 111 char = g;code = 103 char = i;code = 105 char = e;code = 101 char = s;code = 115 char = ;code = 32 char = a;code = 97 char = n;code = 110 char = d;code = 100 char = /;code = 47 char = o;code = 111 char = r;code = 114 char = ;code = 32 char = t;code = 116 char = r;code = 114 char = e;code = 101 char = a;code = 97 char = t;code = 116 char = m;code = 109 char = e;code = 101 char = n;code = 110 char = t;code = 116 char = ;code = 32 char = o;code = 111 char = p;code = 112 char = t;code = 116 char = i;code = 105 char = o;code = 111 char = n;code = 110 char = s;code = 115 char = .;code = 46 char = <;code = 60 char = b;code = 98 char = r;code = 114 char = /;code = 47 char = >;code = 62 result sql = Torsion is an important testing modality commonly used to calculate structural properties of long bones. However, the effects of size and geometry must be excluded from the overall structural response in order to compare material properties of bones of different size, age and species. We have developed a new method to analyze torsional properties of bones using actual cross-sectional information and length-wise geometrical variations obtained by micro-computed topographic (microCT) imaging. The proposed method was first validated by manufacturing three rat femurs through rapid prototyping using a plastic with known material properties. The observed variations in calculated torsional shear modulus of the hollow elliptical model of mid-shaft cross-section (Ekeland et al.), multi-prismatic model of five true cross-sections (Levenston et al.) and multi-slice model presented in this study were 96%, -7% and 6% from the actual properties of the plastic, respectively. Subsequently, we used this method to derive relationships expressing torsional properties of rat cortical bone as a function of muCT-based bone volume fraction or apparent density over a range of normal and pathologic bone densities. Results indicate that a regression model of shear modulus or shear strength and bone volume fraction or apparent density described at least 81% of the variation in torsional properties of normal and pathologic bones. Coupled with the structural rigidity analysis technique introduced by the authors, the relationships reported here can provide a non-invasive tool to assess fracture risk in bones affected by pathologies and/or treatment options.
Publication: J Biomech 2009 Aug 7 ;42(11)::1720-5. :doi: 10.1016/j.jbiomech.2009.04.019.
Publication Date: 2009 Aug 7
Study Author(s): Nazarian, Ara;Entezari, Vahid;Vartanians, Vartan;Müller, Ralph;Snyder, Brian D;
Institution: Orthopedic Biomechanics Laboratory, Beth Israel Deaconess Medical Center and Harvard Medical School, Boston, MA 02215, USA.
Shortcut link to this study:
Torsion is an important testing modality commonly used to calculate structural properties of long bones. However, the effects of size and geometry must be excluded from the overall structural response in order to compare material properties of bones of different size, age and species. We have developed a new method to analyze torsional properties of bones using actual cross-sectional information and length-wise geometrical variations obtained by micro-computed topographic (microCT) imaging. The proposed method was first validated by manufacturing three rat femurs through rapid prototyping using a plastic with known material properties. The observed variations in calculated torsional shear modulus of the hollow elliptical model of mid-shaft cross-section (Ekeland et al.), multi-prismatic model of five true cross-sections (Levenston et al.) and multi-slice model presented in this study were 96%, -7% and 6% from the actual properties of the plastic, respectively. Subsequently, we used this method to derive relationships expressing torsional properties of rat cortical bone as a function of muCT-based bone volume fraction or apparent density over a range of normal and pathologic bone densities. Results indicate that a regression model of shear modulus or shear strength and bone volume fraction or apparent density described at least 81% of the variation in torsional properties of normal and pathologic bones. Coupled with the structural rigidity analysis technique introduced by the authors, the relationships reported here can provide a non-invasive tool to assess fracture risk in bones affected by pathologies and/or treatment options.
PMID: 19447390