Submitted:
11 April 2024
Posted:
11 April 2024
You are already at the latest version
Abstract
Keywords:
1. Introduction

1.1. Mechanical properties of AC in OA
1.2. Tribological properties of AC in OA
2. Chronology of cartilage lubrication

2.1. How does Lubrication models fail in the case of OA
2.1.1. Fluid-film lubrication

2.1.2. Boundary lubrication
2.1.3. Mixed-mode lubrication
2.2. Concept of tribological rehydration
3. Relevance of AC lubrication theories to OA
3.1. Lubricant based Solutions
4. Conclusion
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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| Sample source | Reference | Healthy / Osteoarthritic | Natural OA/ Induced OA | Cartilage Region | Testing condition | Mechanical Properties | ||
|---|---|---|---|---|---|---|---|---|
| Youngs modulus | Aggregate modulus | Other findings | ||||||
| Bovine | [37] | H | - | Knee joint | Static and dynamic confined compression (Microscale) | - | 0.37 ± 0.03 MPa (adult) 0.43 ± 0.02 MPa (calf), and 0.15 ± 0.01 MPa (foetus) |
Permeability (kp) expressed as (log10kp(m2/(Pa s)) -14.92 ± 0.93 (adult) -15.19 ± 0.32 (calf), and -15.60 ± 0.46 (foetus) |
| [38] | H | - | Knee joint | Unconfined compression (Macroscale) | 14.6 ± 6.9 MPa at 0.1 Hz to 28.7 ± 7.8 MPa at 40 Hz | 0.49 ± 0.10 MPa | Peak compressive strain amplitudes 15.8 ± 3.4% at 0.1 Hz to 8.7 ± 1.8% at 40 Hz |
|
| [39] | H | - | Knee joint | Unconfined compression (Microscale) | - | 0.96 ± 0.47 MPa (adult) 0.89 ± 0.39 MPa (calf), and 0.72 ± 0.36 MPa (foetus) |
Poisson’s ratio 0.26 ± 0.11 (adult) 0.09 ± 0.02 (calf), and 0.11 ± 0.03 (foetus) |
|
| [40] | H | - | Knee joint | Indentation (Microscale) | 3.9 ± 0.7 MPa (Effective contact modulus) | 0.62 ± 0.10 MPa (Equilibrium contact modulus) | Tensile modulus 4.3 ± 0.7 MPa and Permeability 2.8 ± 0.9 × 10-3 mm4/Ns | |
| [41] | H | - | Knee joint | Indentation (Microscale) | - | 0.93 MPa ( Equilibrium contact modulus) | - | |
| [42] | OA | (In-vitro) Induced with Type II bacterial collagenase | Knee joint | Confined compression (Macro scale) | - | 0.06 ± 0.03 - 0.13 ± 0.06 MPa | Permeability 4.73 ± 1.43 × 10-14 m4/N s – 8.25 ± 2.24 × 10-14 m4/N s | |
| [43] | OA | (In-vitro) Induced using Collagenase, chondroitinase ABC or elastase |
Knee joint | Indentation (Micro scale) | - | 0.7 MPa (Collagenase), 0.3 MPa (Chondroitinase ABC) and 0.7 MPa (Elastase) |
- | |
| [44] | OA | (In-vitro) Induced using collagenase | Knee joint | Unconfined compression (Micro scale) | - | 0.45 ± 0.21 to 0.23 ± 0.14 MPa with 2 U/mL collagenase treatment, and 0.49 ± 0.19 to 0.19 ± 0.08 MPa with 10 U/mL collagenase treatment, |
Compressive strain 21.7 ± 5.6 to 26.2 ± 7.6% at 0.1 Hz loading frequency and from 9.6 ± 3.3 to 13.5 ± 3.2% at 40 Hz loading frequency with 10 U/mL collagenase treatment |
|
| Porcine | [45] | H | - | Knee joint | Indentation (Microscale) | 2 MPa at 2.5mN and 7 MPa at 10mN | - | Contact stiffness 0.5 kNm-1 at 2.5mN and 4.0 kNm-1 at 10mN Hardness 0.07 ± 0.01 MPa at 2.5 mN |
| [46] | H | - | Knee joint | Indentation (Mesoscale) | 2.93 MPa | - | Hardness 0.05 MPa | |
| [47] | H | - | Knee joint | Confined compression (Micro scale) | - | 0.71 ± 0.50 MPa (Creep) and 0.68 ± 0.48 MPa (Recovery) | - | |
| [48] | OA | (In-vitro) Induced with papain | Knee joint | Confined compression (Micro scale) | - | 0.09 - 0.38 MPa (medial femoral condyle), 0.32 – 0.42 MPa (lateral patellar groove) and 0.095 – 0.38 MPa (medial patellar groove) |
(1.9 – 7 )× 10-15 m4/N s (medial femoral condyle), (1.2 – 2.6 )× 10-15 m4/N s (lateral patellar groove) and (1.2 – 1.5 )× 10-15 m4/N s (medial patellar groove) |
|
| Rabbit | [49] | H | - | Knee joint | AFM Indentation (Nanoscale) | - | 0.52 ± 0.05 MPa (superficial zone) 1.69 ± 0.12 MPa (calcified zone) | Surface roughness 59.0 ± 12.6 nm |
| [50] | H | - | Jaw joint | AFM Indentation (Nanoscale) | - | Posterolateral region 0.95 ± 0.06 MPa, Anteromedial region2.34 ± 0.26 MPa | Poisson’s ratio Posterolateral region 0.31 ± 0.05, Anteromedial region 0.46 ± 0.05 | |
| [51] | OA | (In-vivo) intramuscular injection of ketamine (100mg/kg) and xylazine (8 mg/kg) |
Knee joints | Surface properties | - | - | Surface roughness values (mean rms values) 95 – 320 % | |
| [52] | OA | (In-vivo) anterior cruciate ligament transection (ACLT) model |
Knee joints | Indentation (Nanoscale) | 3.37 ± 1.23 MPa (Instantaneous modulus) | 0.85 ± 0.29 MPa (equilibrium modulus) | - | |
| Human | [53] | H | - | Knee joint | Confined compression (Macroscale) | - | 0.499 ± 0.208 MPa to 1.597 ± 0.455 MPa) |
Permeability 0.689 ± 0.304 × 103 (mm4/N-s) to 1.318 ± 0.673 × 103 (mm4/N-s) |
| [54] | H | - | Knee joint | Unconfined compression (Macroscale) | - | 1.60 ± 0.51MPa to 2.47 ± 0.49 MPa | - | |
| [55] | H | - | Knee joint | Unconfined compression (Microscale) | - | 0.53 ± 0.25 MPa | - | |
| [56] | OA | Total joint replacement patients | Knee joint | Unconfined compression (Macro scale) | - | - | Shear modulus 4.6 ± 1.8 MPa | |
| [57] | OA | Total joint replacement patients | Knee joint | Indentation (Macroscale) | 2.51 to 10.7 MPa (Instantaneous modulus) | 0.07 to 2.86 MPa (Equilibrium modulus) | - | |
| [58] | OA | Total joint replacement patients | Knee joint | Micropipette aspiration technique | - | Chondrocytes (0.63 ± 0.51 kPa) Instantaneous modulus and 0.33 ± 0.23 kPa) Equilibrium modulus | - | |
| Articular Cartilage | Reference | Healthy/ Osteoarthritic | Natural OA/ Induced OA | Cartilage Region | Type of contact | Tribological Properties | |||
| COF | Lubricant | Lubrication Mechanism | Other findings | ||||||
| Bovine | [40] | H | - | Knee joint | MCA (stainless steel ball on cartilage) | 0.024 ± 0.004 | PBS | Not discussed | Fluid load fraction 0.81 ± 0.03 |
| [69] | H | - | Knee joint | SCA (cartilage on glass) | PBS (0.218 ± 0.015), Equine SF (0.071 ± 0.012), Bovine SF (0.068 ± 0.013) |
PBS, bovine SF, and equine SF | Biphasic lubrication was observed along with the mixed mode and boundary lubrications however full-film lubrication was not observed even at the high speeds | - | |
| [66] | H | - | Knee joint | MCA (spherical glass lens on cartilage) | PBS ( 0.022 ± 0.010) SF ( 0.015 ± 0.004) | PBS and SF | Boundary lubrication is prominent when the thickness between the interface is lower. Fluid film lubrication is prominent when thickness is higher | - | |
| [70] | H | - | Knee joint | cSCA (cartilage plug on glass slide) | 0.011 ± 0.007 | PBS | Tribological rehydration due to the formation of wedges which supports full film lubrication | - | |
| [71] | H | - | Knee joint | MCA (Stainless steel probe on cartilage) | 0.0272 ± 0.0006 - 0.1168 ± 0.0014 (3.2 mm radius probe) 0.0251 ± 0.0006 - 0.1337 ± 0.0016 (0.8 mm radius probe) | PBS | Lubrication due to Fluid pressurization | - | |
| [72] | OA | Induced with chondroitinase ABC and collagenase III |
Knee joint | SCA (Cartilage on glass) | Collagenase III (0.17±0.04) and Chondroitinase ABC (0.28±0.02) |
PBS | Biphasic behaviour | - | |
| [73] | OA | Induced with chondroitinase ABC | Knee joints | MCA (glass on cartilage) | Chondroitinase ABC (0.19 ± 0.02) |
PBS | Time dependent interstitial pressurisation | - | |
| Porcine | [74] | H | - | Knee | SCA (cartilage on glass) | 0.001 – 0.11 | SF | Weeping lubrication | - |
| [75] | H | - | Knee joint | MCA (glass on cartilage) | 0.04–0.14 | PBS | Not discussed | - | |
| [76] | H | - | Knee joints | SCA (cartilage on glass) | 0.039 ± 0.017 - 0.069 ± 0.045 | PBS | Not discussed | - | |
| [77] | OA | Induced with Hyaluronidase, Chondroitinase ABC, Alkaline protease | Knee joints | SCA (Cartilage on glass) | 0.0025 ± 0.0012 (Hyaluronidase), 0.0043 ± 0.0013 (Chondroitinase ABC), 0.0070 ± 0.0003 (Alkaline protease) | Normal saline | Boundary lubrication is possible due to the presence of various molecules on the surface of the cartilage | - | |
| Human | [78] | H | - | Knee joints | SCA (cartilage on glass) | 0.22 | PBS | Not discussed | - |
| [79] | OA | Total joint replacements | Knee joints | MCA (cartilage on cartilage)and SCA (cartilage on glass) | MCA SF ( 0.019 – 0.02) MCA PBS (0.025 – 0.027) SCA SF (0.04) SCA PBS (0.09-0.12) |
PBS and SF | SF lubricates better than PBS in both less and more OA conditions due to its boundary lubrication properties | - | |
| [72] | OA | Total joint replacement | Knee joints | SCA (Cartilage on glass) | 0.22±0.01 (Patient-1) and 0.23±0.01 (Patient-2) | PBS | Biphasic behaviour | - | |
| [80] | OA | Total joint replacement | Knee joints | AFM (polysterene spherical tip on cartilage) | 0.119 ± 0.036 for stage 0 (normal cartilage),0.151 ± 0.039 for stage 1, 0.158 ± 0.041 for stage 2, and 0.409 ± 0.119 for stage 3 | PBS | Not discussed | Surface roughness 137 ± 25 nm for stage 0 to 533 ± 196 nm for stage 3 | |
| Conventional lubrication model | Cartilage lubrication model | Physical considerations | Samples | Experimental condition | Physiological relevance |
|---|---|---|---|---|---|
| Fluid-film lubrication model | Hydrodynamic lubrication | Occurs at high articulating speeds or low loads. | Horse Stifle joint [107] Proximal interphalangeal joint of human finger [108] |
Cartilage on cartilage experiment [107] Modified Stanton Pendulum [108] |
Swinging phase of Walking and running in human gait cycle |
| Hydrostatic/weeping lubrication | Occurs at Constant load over time | Closed cell rubber foam soaked with soapy water [109] Ovine AC [110] Bovine AC [14] |
pin on plate (rubber on flat surface) [109] Cartilage on glass [110] Cartilage on cartilage [14] |
Stance phase of walking and running in human gait cycle | |
| Elastohydrodynamic lubrication | Occurs at high contact pressures and elastic deformation of AC | Human ankle joint [111] Soft material rubber [112] |
Joint simulators [111] Roller bearing and soft surface [112] |
Weight transfer phase due to walking, running or jumping in human gait cycle | |
| Micro-elastohydrodynamic lubrication | Occurs at the microscale interaction of AC and SF. Influenced due to change in surface topography, contact deformation, load-bearing capacity. | Human ankle joint [113] | Joint simulator [113] | During heel strike, midstance, and toe-off of the human gait cycle. | |
| Tribological rehydration | Modified version of hydrodynamic lubrication explaining the movements of SF into AC matrix during pressure distribution. | Bovine AC [70] Bovine, Equine, Porcine, Ovine, and caprine [114,115] |
Cartilage on flat [70,114,115] | Different phases of human gait cycle such as heel strike to toe-off, loading, unloading, variable loading phases. | |
| Boundary lubrication | Boundary lubrication | This model considers the synovial constituents such as hyaluronic acid, lubricin, and glycoproteins. | Human knee joint [116] Human and Bovine SF [117-119] |
Modified flat on plate setup [116] Rheological properties of lubricin in SF [117] Pendulum oscillation in different SF concentration [118] Hyaluronic acid rheology and concentration in SF [119] |
It occurs in mainly in the toe off of the stance phase and other intermediate phases in human gait cycle. |
| Hydration lubrication | This model is an extension of boundary lubrication where it focuses mainly on the water molecules trapped inside the phospholipid layers of the synovial constituents. | Mica layers [120] | Surface force balance measurements [120] | It occurs in mainly in the toe off of the stance phase and other intermediate phases in human gait cycle. | |
| Mixed lubrication model | Osmotic lubrication | Osmotic pressure gradients within cartilage matrix and interstitial fluid contributes to lubrication | Theory [121] | Theory [121] | It occurs in all the phases of human gait cycles like stance phase (heel strike to toe-off), swing phase, transition phases, dynamic movements. |
| Squeeze-film lubrication | Occurs when the joints are compressed leading to interstitial fluid expulsion and redistribution causing hydrodynamic pressure. | Glass lens with polymethylmethacrylate flats [91] | Cylinder on flat [91] | It occurs the weight bearing and relaxing phases of human gait cycles such as heel strike and intermittent contact phases. | |
| Boosted lubrication | This occurs with the combination of both squeeze film and boundary lubrication | Mathematical model [122] | Mathematical model [122] | It occurs in prolonged stance of the human gaits. | |
| Biphasic lubrication | This considers cartilage has solid and fluid matrix. And explains the load support in both strain and compressive forces. | Bovine AC [67,123-125] | Cartilage on metal (pin on plate) [67,123] Cartilage indentation with flat surface [124] Confined and unconfined compression [125] |
It occurs in all the gait cycles of human movements. | |
| Triphasic lubrication | This considers the electrostatic interactions introducing an ion phase to biphasic lubrication. | Models [126,127] | Models [126,127] | It occurs in all the gait cycles of human movements. |
| Natural Synovial Constituent | Reference | Products / Molecular composition | Type of contact and testing apparatus | Lubricant properties | Frictional properties – dynamic COF | Dose | Comments |
|---|---|---|---|---|---|---|---|
| Hyaluronic Acid | [202,203] | Synvisc One | Universal mechanical tester – Bruker (reciprocating test) | Dynamic viscosity - 325.8 ± 3.4 Pa s Molecular weight 6000 kDa |
0.008 – 0.009 | Injections every 3 weeks (8 mg/mL) (2mL) | Boundary lubrication is observed. |
| [203,204] | Eurflexxa | Custom tribometer (cartilage against glass sliding) | Dynamic viscosity – 100.09 Pa s Molecular weight 2,400 -3,600 kDa |
0.22 – 0.23 | Injections every 3 weeks (10 mg/mL) (2mL) | Adsorption of molecules on the surface increased the viscosities and hence improved frictional properties. |
|
| [203,204] | Supartz | Custom tribometer (cartilage against glass sliding) | Dynamic viscosity – 2.11 Pa s Molecular weight 620 – 1,170 kDa |
0.25 | Injections every 5 weeks (10 mg/mL) (2.5mL) | - | |
| [203] | Durolane | Molecular weight - 100,000 kDa | - | 1 injection (20 mg/mL) (3 mL) |
- | ||
| Lubricin | [205] | mLub | Cartilage on glass surface sliding | Molecular weight ~107 kDa | 0.15 | - | Reduces friction and adhesion resulting in decreased cartilage degradation |
| [206,207] | Proteoglycan 4 (Prg4) | Pendulum system | - | 0.01 | 1 injection every month (250 µg/mL -10 mg/mL) (1-2 mL) | Improves chondrocytes health and prevents stick-slip at the superficial zone reducing mechanical strain and avoiding cartilage degeneration | |
| Chondroitin Sulphate | [208] | PBS+100 mg/ml Chondroitin sulphate | Custom designed sliding test (glass on cartilage) | - | 0.05 | - | Higher concentration chondroitin sulphate can improve frictional behaviour at the cartilage interface |
| Phospholipids | [209] | Mica coated with aminothiol or poly-lysine |
Surface force apparatus | - | 0.08–0.3 | - | The type of adsorption of the phospholipids on the surface determines how effective the frictional behaviour |
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