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Table 1 Type and corresponding number of elements used in different finite element models of the lumbosacral spine

From: Mild (not severe) disc degeneration is implicated in the progression of bilateral L5 spondylolysis to spondylolisthesis

 

INTACT

NOR LYTIC

M-DEG LYTIC

M-DEG-COL LYTIC

S-COL LYTIC

Nodes

308,539

320,256

320,256

382,025

382,025

Brick element (4-noded tetrahedrons)

1,454,554

1,522,196

1,522,196

1,811,798

1,811,798

Facet articulation (Nonlinear point contact elements)

5 per joint

5 per joint

5 per joint

5 per joint

5 per joint

Bilateral L5 lytic defect (Zero gap elements)

0

25 per side

25 per side

25 per side

25 per side

Annulus fibres (cylindrical beam elements)

L1-L2

(O) 312–321–293-266 (I)

(O) 289–272–229-224 (I)

(O) 289–272–229-224 (I)

(O) 350–311–279-262 (I)

(O) 350–311–279-262 (I)

L2-L3

(O) 362–385–347-287 (I)

(O) 271–266–254-168 (I)

(O) 271–266–254-168 (I)

(O) 359–316–268-255 (I)

(O) 359–316–268-255 (I)

L3-L4

(O) 330–298–232-240 (I)

(O) 265–244–212-189 (I)

(O) 265–244–212-189 (I)

(O) 395–318–269-258 (I)

(O) 395–318–269-258 (I)

L4-L5

(O) 308–331–303-237 (I)

(O) 251–218–233-163 (I)

(O) 251–218–233-163 (I)

(O) 385–322–284-253 (I)

(O) 385–322–284-253 (I)

L5-S1

(O) 243–258–236-219 (I)

(O) 202–192–169-167 (I)

(O) 202–192–169-167 (I)

(O) 436–352–341-291 (I)

(O) 436–352–341-291 (I)

Ligaments per level (cylindrical beam elements)

ALL

14

14

14

14

14

PLL

6

6

6

6

6

TL

16

16

16

16

16

LF

18

18

18

18

18

ISL

9

9

9

9

9

SSL

4

4

4

4

4

CL

24 per joint

24 per joint

24 per joint

24 per joint

24 per joint

ILL

20

20

20

20

20

LSL

22

22

22

22

22

  1. The concentric rings of annulus fibres were modelled using nonlinear beam elements
  2. (O) Layer1 (outermost)-Layer2-Layer3-Layer4 (innermost) (I); ALL Anterior Longitudinal Ligament, PLL Posterior Longitudinal Ligament, TL Transverse Ligament, LF Ligamentum Flavum, ISL Interspinous Ligament, SSL Supraspinous Ligament, CL Capsular Ligament, ILL Iliolumbar Ligament, LSL Lumbosacral Ligament