Publication: A proposed screening algorithm for bone remodeling
Loading...
Official URL
Full text at PDC
Publication Date
2020-12-23
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Cambridge University Press
Citations
Exportar
Abstract
One of the most remarkable aspects of human homeostasis is bone remodeling. This term denotes the continuous renewal of bone that takes place at a microscopic scale and ensures that our skeleton preserves its full mechanical compliance during our lives. We propose here that a renewal process of this type can be represented at an algorithmic level as the interplay of two different but related mechanisms. The first of them is a preliminary screening process, by means of which the whole skeleton is thoroughly and continuously explored. This is followed by a renovation process, whereby regions previously marked for renewal are first destroyed and then rebuilt, in such a way that global mechanical compliance is never compromised. In this work we pay attention to the first of these two stages. In particular we show that an efficient screening mechanism may arise out of simple local rules, which at the biological level are inspired by the possibility that individual bone cells compute signals from their nearest local neighbors. This is shown to be enough to put in place a process which thoroughly explores the region where such mechanism operates.
Description
UCM subjects
Unesco subjects
Keywords
Citation
[1] Bone health and osteoporosis: A report of the surgeon general. Technical report, US Department of Health and Human services, 2004.
[2] C. F. Arias, M. A. Herrero, L. F. Echeverri, G. E. Oleaga, and J.M. López. Bone remodeling:
A tissue-level process emerging from cell-level molecular algorithms. PLoS One, 13, 2018.
[3] J. Bezanson, A. Edelman, S. Karpinski, and V. B. Shah. Julia: A fresh approach to numerical computing. SIAM Review, 59(1), 2017.
[4] J. C. Crockett, M. J. Rogers, F. P. Coxon, L. J. Hocking, and M. H. Helfrich. Bone
remodelling at a glance. Journal of cell science, 124:991–998, 2011.
[5] S. L. Dallas, M. Prideaux, and L. F. Bonewald. The osteocyte: An endocrine cell . . . and
more. Endocrine Reviews, 34(5):658–690, oct 2013.
[6] A. Deutsch and S. Dormann. Cellular Automaton Modeling of Biological Pattern Formation.
Birkhäuser Ed., 2017.
[7] L. F. Echeverri, M. A. Herrero, J. M. López, and G. E. Oleaga. Early stages of bone
fracture healing: Formation of a fibrin collagen scaffold in the fracture hematoma. Bull
Math Biol., 77:156–183, 2015.
[8] E. F. Eriksen. Cellular mechanisms of bone remodeling. Rev Endocr Metab Disord,
4(11):219–227, 2010.
[9] J. M. García-Aznar, T. Rueberg, and M. Doblaré. A bone remodelling model coupling
microdamage growth and repair by 3d BMU activity. Biomech Model Mechanobiol.,
4:147–167, 2005.
[10] M. Gardner. Mathematical games - the fantastic combinations of John Conway’s new
solitary game life. Scientific American, 223:120–123, 1970.
[11] D. George, R. Allena, and Y. Remond. A multiphysics stimulus for continuum mechanics
bone remodelling. Mathematics and Mechanics of Complex Systems, 6(4):307–319, 2018.
[12] I. Giorgio, F. dell’Isola, U. Andreaus, F. Alzahrani, T. Hayat, and T. Lekszycki. On mechanically driven biological stimulus for bone remodelling as a diffusive phenomenon.
Biomechanics and Modelling in Mechanobiology, 18(6):1617–1663, 2019.
[13] J. M. Graham, B. P. Ayati, S. A. Holstein, and J. A. Martin. The role of osteocytes in
targeted bone remodeling: a mathematical model. PLoS One, 8(5), may 2013.
[14] Dimitrios J. Hadkidakis and Ioannis I. Androulakis. Bone remodeling. Annals of the New
York Academy of Sciences, 1092(1):385–396, 2006.
[15] R. Hattner, B. N. Epker, and H. M. Frost. Suggested sequential mode of control of changes
in cell behaviour in adult bone remodelling. Nature, 206(4983):489–490, 1965.
[16] A. Husain and M.A. Jeffries. Epigenetics and bone remodeling. Curr. Osteoporos Rep.,
15(5):450–458, Oct 2017.
[17] J. S. Kenkre and J. H. D. Basset. The bone remodeling cycle. Ann. Clin. Biochem, pages
1–20, 2018.
[18] A. Köhn-Luque, W. de Back, J. Starruß, A. Mattiotti, A. Deutsch, J. M. Pérez-Pomares,
and M. A. Herrero. Early embryonic vascular patterning by matrix-mediated paracrine
signalling: A mathematical model study. PLoS ONE, 6(9), 2011.
[19] S. V. Komarova, R. J. Smith, S. J. Dixon, S. M. Sims, and L. M. Wahl. Mathematical
model predicts a critical role for osteoclast autocrine regulation in the control of bone
remodeling. Bone, 33 2:206–15, 2003.
[20] B. D. MacArthur, C. P. Please, M. Taylor, and R. O. C. Oreffo. Mathematical modelling
of skeletal repair. Biochemical and Biophysical Research Communications, 313:825–833,
2004.
[21] J. Martínez-Reina, I. Reina, J. Domínguez, and J. M. García-Aznar. A bone remodelling
model including the effect of damage on the steering of BMUs. J. Mech. Behav. Biomed.
Mat., 32:99–112, 2014.
[22] B. S. Noble. The osteocyte lineage. Arch. Biochem. and Biophysics, 473:106–111, 2008.
[23] A. M. Parfitt. Targeted and nontargeted bone remodeling: relationship to basic multicellular
unit origination and progression. Bone, 30:5–7, 2002.
[24] K.H. Park-Min. Mechanisms involved in normal and pathological osteoclastogenesis. Cell
Mol. Life Sci., 75(14):2519–2528, Jul 2018.
[25] R.D. Prisby. Mechanical, hormonal and metabolic influences on blood vessels, blood flow
and bone. J Endocrinol., 235(3):R77–R100, Dec 2017.
[26] A. Robling, A. Castillo, and C. Turner. Biomechanical and molecular regulation of bone
remodeling. Annual review of biomedical engineering, 8:455–98, 02 2006.
[27] D. S. Ross, K. Mehta, and A. Cabal. Mathematical model of bone remodeling captures
the antiresorptive and anabolic actions of various therapies. Bulletin of Mathematical
Biology, 79:117–142, 2017.
[28] N. Rucci. Molecular biology of bone remodelling. Clin Cases Miner Bone Metab., 5(1):49–
56, 2008.
[29] M. D. Ryser, S. V. Komarova, and N. Nigam. The cellular dynamics of bone remodeling:
a mathematical model. SIAM Journal on Applied Mathematics, 70(6):1899–1921, 2010.
[30] JA Siddiqui and NC Partridge. Physiological bone remodeling: Systemic regulation and
growth factor involvement. Physiology (Bethesda), 31(3):233–45, May 2016.
[31] N. A. Sims and T. J. Martin. Coupling the activities of bone formation and resorption: a
multitude of signals within the basic multicellular unit. BoneKEy reports, 3:481, 2014.
[32] M. Zaidi. Skeletal remodeling in health and disease. Nature medicine, 13:791–801, 08 2007.