شبیه‌سازی رشد عضله‌ دوسررانی‌ بر اثر کشش‌ با بکارگیری یک‌ مدل چندمقیاسه‌

نوع مقاله : مقاله پژوهشی

نویسندگان

1 گروه مکانیک- دانشکده مهندسی- دانشگاه فردوسی مشهد

2 گروه مکانیک، دانشکده مهندسی، دانشگاه فردوسی مشهد

3 دانشگاه تهران*مهندسی مکانیک

4 دانشگاه علوم پزشکی تهران

چکیده

شناخت‌ روند رشد ماهیچه‌ و تعیین‌ نواحی‌ بحرانی‌ تحت‌ آسیب‌ و یا پارگی‌ ابزاری برای تشخیص‌ روش صحیح‌ درمان برای متخصصان طب‌ فیزیکی‌ و توان بخشی‌ و ارتوپدی می‌باشند. هدف این‌ مقاله‌، بررسی‌ نحوه رشد سلول عضلانی‌-اسکلتی‌ و هم‌چنین‌ تعیین‌ نواحی‌ آسیب‌ عضله‌ دوسررانی‌ تحت‌ کشش‌های غیر فعال وارده بر آن است‌. با تجزیه‌ تانسور گرادیان تغییر شکل‌ به‌ دو بخش‌ الاستیک‌ و رشد، روابط‌ رشد محدود برای ماهیچه‌ با رفتار ماده هایپرالاستیک‌ تعیین‌ شدهاند. روابط‌ مکانیک‌ محیط‌ پیوسته‌ با معادله‌ تکامل‌ رشد تلفیق‌ و معادلات دیفرانسیل‌ بیولوژیکی‌ و مکانیکی‌ حاصل‌ شدند. برای حل‌ آنها از روش اجزای محدود در نرمافزار آباکوس با نوشتن‌ زیربرنامه‌ای برای رفتار ماده در زبان فرترن استفاده شد. عضله‌ی دوسررانی‌ قسمت‌ سر بلند به‌ شکل‌ یک‌ استوانه‌ فرض شده و شبیه‌سازی آن برای یک‌ دوره ٦ هفته‌ای و به‌میزان ١٠% افزایش‌ طول اولیه‌ انجام شد. نتایج‌ نشان می‌دهند که‌ ماهیچه‌ به‌طور ناهمگن‌ رشد می‌کند و بیشینه‌ کشیدگی‌ها در رویه‌ها اتفاق می‌افتند و نه‌ در داخل‌ عضله‌ که‌ در ناحیه‌ بالا در رویه‌ بیرونی‌ معادل1/045 ودر ناحیه‌ پایین‌ در رویه‌ درونی‌ معادل 1/06 می‌باشند. به‌علاوه، نتایج‌ می‌تواند به‌نحوه درمان صحیح‌ و بهینه‌ و توان بخشی‌ بیماران و جراحی‌های ارتوپدی کمک‌ کند.

کلیدواژه‌ها

موضوعات

عنوان مقاله [English]

Simulation of Biceps Femoris Muscle Growth Based on Stretch Using a Multiscale Model

نویسندگان [English]

  • Saeed Javadi 1
  • Abdolrahman Jaamialahmadi 2
  • Ali Reza Danesh Mehr 3
  • Mohaddeseh Azadvari 4
  • Saeid Nekoonam 4
1 Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad
2 Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad
3 Mechanical Engineering, Tehran University
4 Tehran University of Medical Sciences
چکیده [English]

Understanding the process of muscle tissue growth is important to professionals who 
are involved in curing musculoskeletal disorders, physical medicine and rehabilitation specialists 
and orthopedic surgeons. This article investigates the development of a musculoskeletal cell and also 
determining the vulnerable areas of biceps femoris muscles due to passive strains applied on it. By 
decomposing the deformation gradient tensor to two parts, the elastic and growth, the finite growth relations 
have been applied for an isotropic hyperelastic muscle material behavior. Consequently, the continuum 
relations were combined with the growth evolution equation whrer a series of mechanobiological 
relations were obtained. To solve them, a FORTRAN user-defined material subroutine (UMAT) for the 
finite element Abaqus software was written and executed. The biceps femoris – long head muscle was 
simulated based on a 6-week period assuming as a cylinder with 10% increase in initial length. Results 
of the simulation indicate that maximum strains occur in the surfaces, not inside the muscle. They reach 
1.045 near the proximal muscle-tendon junction in the posterior layer and 1.06 in distal muscle-junction 
in interior surface. Also, these results can help a correct and optimal treatment, patient’s rehabilitation 
and orthopedic surgeries.

کلیدواژه‌ها [English]

  • Soft tissue growth
  • Finite element analysis
  • Hyperelastic
  • Musculoskeletal
  • Simulation

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نشریه مهندسی مکانیک امیرکبیر
دوره 52، شماره 12
اسفند 1399
صفحه 3549-3566

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