Stability of a two-dimensional biomorphoelastic model for post-burn contraction

被引：0

作者：

Egberts, Ginger ^{[1
,2
]}

Vermolen, Fred ^{[3
,4
]}

van Zuijlen, Paul ^{[5
,6
,7
,8
,9
]}

机构：

[1] Delft Univ Technol, Delft Inst Appl Math, Delft, Netherlands

[2] Univ Hasselt, Dept Math & Stat, Res Grp Computat Math CMAT, Hasselt, Belgium

[3] Univ Hasselt, Res Grp Computat Math CMAT, Hasselt, Belgium

[4] Univ Hasselt, Data Sci Inst DSI, Hasselt, Belgium

[5] Red Cross Hosp, Burn Ctr, Beverwijk, Netherlands

[6] Red Cross Hosp, Dept Plast, Reconstruct & Hand Surg, Beverwijk, Netherlands

[7] Amsterdam UMC, Dept Plast Reconstruct & Hand Surg, Locat VUmc, Amsterdam Movement Sci, Amsterdam, Netherlands

[8] Emma Childrens Hosp, Pediat Surg Ctr, Amsterdam UMC, Locat AMC, Amsterdam, Netherlands

[9] Vrije Univ Amsterdam Med Ctr, Amsterdam, Netherlands

来源：

JOURNAL OF MATHEMATICAL BIOLOGY | 2023年 / 86卷 / 04期

关键词：

Burns; Wound contraction; Stability; Morphoelasticity; Moving-grid finite-element; MECHANOCHEMICAL MODEL; DERMAL FIBROBLASTS; GRANULATION-TISSUE; WOUND CONTRACTION; CONTINUUM MODEL; MYOFIBROBLASTS; ANGIOGENESIS; MIGRATION; STIMULATION; INDUCTION;

D O I：

10.1007/s00285-023-01893-w

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We consider the stability analysis of a two-dimensional model for post-burn contraction. The model is based on morphoelasticity for permanent deformations and combined with a chemical-biological model that incorporates cellular densities, collagen density, and the concentration of chemoattractants. We formulate stability conditions depending on the decay rate of signaling molecules for both the continuous partial differential equations-based problem and the (semi-)discrete representation. We analyze the difference and convergence between the resulting spatial eigenvalues from the continuous and semi-discrete problems.

引用

页数：37

共 47 条

[1] Alberts, 2017, MOL BIOL CELL
[2] Computing, explaining and visualizing shape similarity in content-based image retrieval
Andreou, I
Sgouros, NM
[J]. INFORMATION PROCESSING & MANAGEMENT, 2005, 41 (05) : 1121 - 1139
[3] An anisotropic biphasic theory of tissue-equivalent mechanics: The interplay among cell traction, fibrillar network deformation, fibril alignment, and cell contact guidance
Barocas, VH
Tranquillo, RT
[J]. JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME, 1997, 119 (02): : 137 - 145
[4] THE MULLINS-SEKERKA INSTABILITY IN DIRECTIONAL SOLIDIFICATION OF THIN SAMPLES
CAROLI, B
CAROLI, C
ROULET, B
[J]. JOURNAL OF CRYSTAL GROWTH, 1986, 76 (01) : 31 - 49
[5] Cooper GM., 2000, CELL MOL APPROACH
[6] Mathematical modelling of extracellular matrix dynamics using discrete cells: Fiber orientation and tissue regeneration
Dallon, JC
Sherratt, JA
Maini, PK
[J]. JOURNAL OF THEORETICAL BIOLOGY, 1999, 199 (04) : 449 - 471
[7] TRANSFORMING GROWTH-FACTOR-BETA-1 INDUCES ALPHA-SMOOTH MUSCLE ACTIN EXPRESSION IN GRANULATION-TISSUE MYOFIBROBLASTS AND IN QUIESCENT AND GROWING CULTURED FIBROBLASTS
DESMOULIERE, A
GEINOZ, A
GABBIANI, F
GABBIANI, G
[J]. JOURNAL OF CELL BIOLOGY, 1993, 122 (01) : 103 - 111
[8] DESMOULIERE A, 1995, AM J PATHOL, V146, P56
[9] Dziuk G, 2007, IMA J NUMER ANAL, V27, P262, DOI [10.1093/imanum/drl023, 10.1093/imanum/dr1023]
[10] Egberts G, 2021, NUMERICAL MATH ADV A, V139, DOI DOI 10.1007/978-3-030-55874-1_111

← 1 2 3 4 5 →