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You are here: Home / Articles / Reliability of Breast Implants

by Larry George Leave a Comment

Reliability of Breast Implants

Reliability of Breast Implants

Dear Larry

Thank you for your data request for breast implant data and apologies for the delay in responding. The data available is:

  • The number of women receiving implants, by year, by major manufacturer
  • Number of Explants: All Manufacturers (inc. Others and Unknown Brands)

My colleagues have been copied into this email to show your request has been actioned. I hope this is helpful.

Kind regards

Amina.., Department of Health, Quarry House, UK

before and after images of a breast implant - the after is shriveled and yellowed, not smooth and white as in the before image.

Amina’s email went on to say…”On data quality you might like to note that: two patients apparently received PIP implants after their recall. This was most likely a data entry error. Since errors of this kind in a very small number of data entries would have no material impact on the primary purpose of the analysis-i.e. to compare the performance of PIP and other implants-we did not investigate further. Analysing the explant data by month would involve disproportionate cost and would not add materially to the accuracy of the overall analysis.”

Background

UK National Health Service (NHS) did breast implants, some elective and some reconstructive, starting in 2001. In the mid-2000s, leakage and rupture was cause for some explants. Patients sued to get UK NHS to pay for those explants. Manufacturer “Poly Implant Prosthèse” (PIP) (France) was implicated. PIP claimed quality control problem and had swapped industrial for medical grade silicone. A UK “Expert Group” investigated, concurred, and paid [Keough]. I asked for data, and Amina…, Department of Health, sent annual implant and explant counts for nonparametric survival analyses (tables 1 and 2).

Table 1. Implant data by manufacturer (M1, M2, M3, and PIP) 

Year M1 M2 M3 PIP Total
2001 702 352 662 540 2256
2002 1465 672 634 619 3390
2003 1650 893 875 817 4235
2004 2192 1225 1107 5330 9854
2005 3986 1316 1165 4009 10476
2006 7342 1157 1386 2469 12354
2007 9106 1488 1891 2580 15065
2008 10148 1570 2204 5137 19059
2009 11689 1564 1961 3951 19165
2010 13992 1588 2152 528 18260
2011 13432 1298 2088 2 16820
Total 75704 13123 16125 25982 130934

Table 2. Explant data by manufacturer

Year M1 M2 M3 PIP All
2001 98 69 34 37 238
2002 94 64 58 21 237
2003 141 80 72 33 326
2004 128 97 82 259 566
2005 208 127 90 219 644
2006 248 115 92 150 605
2007 332 122 89 176 719
2008 365 109 115 280 869
2009 357 66 102 120 645
2010 377 49 66 9 501
2011 159 27 37 2 225
Total 2507 925 837 1306 5575

Survival Analyses

The FDA and others require serial numbers on implantable medical and arthroplasty devices [FDA, Ranstam et al.] devices, so that times to failures or censoring times can be collected. It is unnecessary to track implant patients by name or their implants by serial number to provide early warning, management by exception, estimate survival functions, and forecast explants. Implant and explant counts are statistically sufficient to make populationnonparametric estimates of what biostatisticians call survival functions and what engineers call reliability functions: P[Time from implant to explant>t], where t = 1, 2,…., are calendar time periods. These estimates show differences between manufacturers and changes within manufacturers’ products over time, without tracking implants by patient name and implant serial number. 

Figure 1. Survival function estimates (reliability) of breast implants. (“npmle” is nonparametric maximum likelihood estimator and “nplse” is nonparametric least squares estimator.)
Figure 1. Survival function estimates (reliability) of breast implants. (“npmle” is nonparametric maximum likelihood estimator and “nplse” is nonparametric least squares estimator.) 

Figure 1 shows the nonparametric reliability function estimates by manufacturer. Most explants occur within the first year after implant (~5% varying by manufacturer). Manufacturer M2 probably had problems (lowest reliability, orange line, “M2 nplse”). US implants in early 2000s, except for Allergan (AbbVie), were made in Brazil: Mentor (J&J Santa Barbara and Irving, TX), Sientra-Silimed (Garland, TX), and a few others. PIP shows an additional ~0.3-0.4% occurring four or five years after implant. Manufacturer M2 shows an additional almost 0.1% occurring between six and nine years after implant. The BMI-PIP rupture reliability estimate shows ~2% ruptures beginning in the fourth year after implant. “PIP BMI Rupture” is based on life data from one source BMI (highest reliability, red line). BMI is a British HealthCare company, not “Body-Mass-Index”.

Table 3. Probability of explant within first year after implant

  M1 M2 M3 PIP Total
1st year explant 4.3% 7.0% 4.6% 4.7% 4.3%

Figure 2 includes BMI-PIP rupture survival function estimate obtained from the expert group report. It is the highest reliability estimate, because rupture is a subset of PIP explant modes. 

Figure 2.Survival function broom chart for PIP Implants. Shorter lines represent earlier cohorts; longer lines include more cohorts, starting with 2001 cohort.
Figure 2.Survival function broom chart for PIP Implants. Shorter lines represent earlier cohorts; longer lines include more cohorts, starting with 2001 cohort. 

Figure 2 shows BMI-PIP rupture explant broom chart. Survival function estimates for broom charts were computed using successively smaller, earlier subsets of cohort data. The broom chart shows survival function estimates from subsets from: 2001-2002, 2001-2003, 2001-2004,…,all. Early 2001-2006 PIP implants were the cohorts with rupture problems. This is an example of reliability deterioration, then growth. Despite the early problems, the broom chart shows that implant survival function eventually improved; longer lines include longer implant-explant lives as more years are included in the estimates. The first-year PIP explant probability estimate 0. 46% did not change. 

 

Methods

The methods were nonparametric maximum likelihood (npmle) and least squares (nplse) survival function estimation [George]. The PIP npmle and nplse survival function estimates agreed closely. The broom chart survival function estimates give the standard deviations of the estimates, at each age t =1,2,…,5. 

Table 4 shows the  lower confidence limit (LCL) on average survival function estimates from all manufacturers’ data (“All LCL”), and from PIP data (“PIP LCL”}. PIP LCLs are slightly greater than all LCLs indicating that PIP survival function could be better than average despite the BMI-PIP rupture data. That conclusions is not statistically significant, because of the slight variations between manufacturers, Table 4 is not a “confidence band” for all ages shown [Hall and Wellner]. Table 4 gives indications only. 

Table 4. Lower confidence limits on survival function estimates, average survival function minus one standard deviation. 

Age, Years All LCL PIP LCL
1 0.93856 0.946265
2 0.943176 0.954401
3 0.944938 0.954588
4 0.947358 0.954313
5 0.94867 0.970014

Proportions of implants for reconstruction varied between manufacturers. PIP market share for reconstruction was smallest and dwindled to zero over time since 2001. Other factors such as hospital, patient, and experience may affect results. Please let me know if you have questions, would like the Excel workbook, or would like more information or additional computations, such as population nonparametric reliability function estimates by failure mode, without life data.

References

Docket FDA-2012-N-0359, “Strengthening our National System for Medical Device Postmarket Surveillance”  Sept. 2012

L. L. George, “Estimate Reliability Functions Without Life Data,” ASQ Reliability Review, Vol. 13, pp. 21-25, 1993

…, “Actuarial Forecasts, Least Squares Reliability, and Martingales,” https://fred-schenkelberg-project.prev01.rmkr.net/actuarial-forecasts-least-squares-reliability-martingales/#more-421021, 2022

W. J. Hall and Jon A. Wellner , “Confidence Bands for a Survival Curve from Censored Data,” Biometrika, Vol. 67, No. 1, pp. 133-143, April 1980

Jonas Ranstam, Johan Kärrholm, Pekka Pulkkinen, Keijo Mäkelä, Birgitte Espehaug, Alma Becic Pedersen, Frank Mehnert, and Ove Furnes, “Statistical Analysis of Arthroplasty Data,” Acta Orthopaedica, 82 (3), pp. 253-257, 2011

Sir Bruce Keough, “Poly Implant Prosthèse, (PIP) breast implants: Final report of the Expert Group,”https://www.gov.uk/government/publications/poly-implant-prothese-pip-breast-implants-final-report-of-the-expert-group, June 2012

… Volume 2, Appendices, June 2012

Filed Under: Articles, on Tools & Techniques, Progress in Field Reliability?

About Larry George

UCLA engineer and MBA, UC Berkeley Ph.D. in Industrial Engineering and Operations Research with minor in statistics. I taught for 11+ years, worked for Lawrence Livermore Lab for 11 years, and have worked in the real world solving problems ever since for anyone who asks. Employed by or contracted to Apple Computer, Applied Materials, Abbott Diagnostics, EPRI, Triad Systems (now http://www.epicor.com), and many others. Now working on actuarial forecasting, survival analysis, transient Markov, epidemiology, and their applications: epidemics, randomized clinical trials, availability, risk-based inspection, Statistical Reliability Control, and DoE for risk equity.

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