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Mathematical justification of zigzag cutting of superficial muscular-aponeurotic system in correction of age-related face changes: from intuition to calculation

Mathematical justification of zigzag cutting of superficial muscular-aponeurotic system in correction of age-related face changes: from intuition to calculation

Authors:
Елена Викторовна Вербо,
Олеся Анатольевна Андрющенко,
Наталья Евгеньевна Мантурова,
Екатерина Владимировна Перфильева,
Роман Эдуардович Сафиулаев,
Джамиля Магомедова Идрисова

Журнал: Пластическая хирургия и эстетическая медицина. 2026;(2-2):111-116.

DOI: 10.17116/plast.hirurgia2026022111

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Abstract

OBJECTIVE

To substantiate a mathematical analysis of segment length in zigzag mobilization of superficial muscular-aponeurotic system (SMAS) based on specific jowl parameters in each patient.

MATERIAL AND METHODS

A customized mathematical calculation for jowl correction is based on cephalometric parameters of soft tissue ptosis — height (H) and width (L) — using the formula: AB = ((H + L))/(2cos φ), where φ is the angle between the normal to the mandible and masticatory line.

RESULTS

Fifty-seven patients underwent surgery. All ones achieved clear mandibular line and recovered cervicomental angle. There were no necroses, hematomas, paresis, or paralysis.

CONCLUSION

A customized approach to correcting age-related changes based on preoperative parameters allows for optimal results.

Keywords

  • preoperative analysis
  • rejuvenation surgeries
  • superficial muscular-aponeurotic system
  • SMAS lifting
  • zigzag cutting
  • cephalometric measurements
  • individual calculations

Дата поступления: 23.03.2026

Дата принятия в печать: 15.04.2026

Дата публикации: 21.05.2026

References
  1. Verbo EV, Andryushchenko OA, Kraitor AS, Manturova NE, Galiy MI. Modified SMAS Lifting with a Zigzag SMAS Incision. Plastic Surgery and Aesthetic Medicine. 2025;2:18-24. https://doi.org/10.17116/plast.hirurgia202502118
  2. Arnett GW, Jelic JS, Kim J, Cummings DR, Beress A, Worley CM Jr, Chung B, Bergman R. Soft tissue cephalometric analysis: diagnosis and treatment planning of dentofacial deformity. American Journal of Orthodontics and Dentofacial Orthopedics. 1999;116(3):239-253. https://doi.org/10.1016/s0889-5406(99)70234-9
  3. Rupperti S, Winterhalder P, Rudzki I, Mast G, Holberg C. Changesinthefacialsoft-tissueprofileaftermandibularorthognathicsurgery. Clinical Oral Investigations. 2019;23(4):1771-1776. https://doi.org/10.1007/s00784-018-2609-5
  4. Verbo EV, Moskaleva OS, Braĭlovskaia TV, Abrahamyan SV, Butsan SB, Bolshakov MN, Chernenky MM, Deniev AM. Rational choice of revascularized autograft in midface reconstruction. Stomatologiya. 2019;98(2):51-59. (In Russ.). https://doi.org/10.17116/stomat20199802151
  5. Verbo EV, Kraytor AS, Babichenko II, Butsan SB, Gileva KS. Determination of the lesions volume in patients with radionecrosis of the jaws. Stomatologiya. 2019;98(6):33-38. (In Russ.). https://doi.org/10.17116/stomat20199806133
  6. Verbo EV, Butsan SB, Gileva KS. Rekonstruktivnaya xirurgiya licza. Sovremenny`e metody` i principy`: uchebnoe posobie. M.: GE`OTAR-Media; 2022. (In Russ.).
  7. Hyer JN, Murta F, Juniat VAR, Ezra DG. Validating three-dimensional imaging for volumetric assessment of periorbital soft tissue. Orbit. 2021;40(1):9-17. https://doi.org/10.1080/01676830.2020.1711780
  8. Orlova YuM, Verbo EV, Manturova NE. Optimization of facial lipofilling — analysis of fatty autograft volume for aesthetic correction. Plastic Surgery and Aesthetic Medicine. 2021;(4):20-28. (In Russ.). https://doi.org/10.17116/plast.hirurgia202104120
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Recommended articles:

Modified SMAS lifting with zigzag cutting of SMAS.Plastic Surgery and Aesthetic Medicine. 2025;(2):18-24

Surgical anatomy of aging face.Plastic Surgery and Aesthetic Medicine. 2025;(1):110-115

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