References
The following references are a very small sample of papers that relate to biotensegrity. They have been grouped together for convenience but in many cases their content stretches across several categories. Many are available for free download while others require a subscription to the journal or single item payment. Inevitably things change and some of the links may no longer work, but an internet search for the title will find it.
CONTENTS: general tensegrity; biological tensegrity; biological structure; biological geometry; structural hierarchies; helix.
GENERAL TENSEGRITY
Baudriller H, Maurin B, Canadas P, Montcourrier P Parmeggiani A and Bettache N. 2006 Form-finding of complex tensegrity structures: application to cell cytoskeleton modelling. C.R. Mecanique 334:662-668. link
Burkhardt B 2008 A practical guide to tensegrity design. link
Carstens S and Kuhl D. 2008 Tensegrity – islands of compression in a sea of tension. link
Connelly R, Whiteley W. 1996 Second-order rigidity and prestress stability for tensegrity frameworks. Siam J Discrete Math 9;453-491. link
Connelly R and Back A. 1998 Mathematics and tensegrity. American Scientist 86:142-151. link
Connelly R. 1998 Tensegrity structures: why are they stable? link
Connelly B and Terrell B. Highly symmetric tensegrity structures. link
Edmonson A. A Fuller explanation. link
Estrada GG, Bungartz H, Hohrdieck C. 2005 On cylindrical tensegrity structures. Proceedings of the 5th International Conference on Cumputation of Shell and Spatial Structures. link
Fuller BB. 1975 Synergetics, explorations in the geometry of thinking. Macmillan. link
Frumar JA, Zhou YY, Xie YM, Burry MC. 2009 Tensegrity structures with 3D compressed components: development, assembly and design. Journal of the International Association for Shell and Spatial Structures 50:99-110. link
Hernandez Juan S, Mirats Tur JM. 2008 Tensegrity frameworks: static analysis review. Mechanism and Machine Theory 43:859-881. link
Jauregui VG. Tensegrity structures and their application to architecture. link
Kenner H. 2003 Geodesic Math and how to use it. University of California Press.
Knight B, Zhang Y, Duffy J and Crane C. 2000 On the line geometry of a class of tensegrity structures. Proceedings of a symposium commemorating the legacy, works and life of Sir Robert Stawell Ball upon the 100th anniversary of a treatise on the theory of screws. University of Cambridge. link
Li Y, Feng XQ, Cao YP and Gao H. 2010 Constructing tensegrity structures from one-bar elementary cells. Proceedings of the Royal Society A 466:45-61. link
Masic M, Skelton RE and Gill PE. 2005 Optimization of tensegrity structures. International Journal of Solids and Structures 43:4687-4703. link
Micheletti A, Cadoni D. 2011 Design of single-layer floating-compression tensegrities. Colloque National en Calcul des Structures link
Motro R. 2003 Tensegrity: structural systems for the future. Kogan Page Science.
Motro R. 2009 Structural morphology of tensegrity systems. Asian Journal of Civil Engineering (Building and Housing)10;1-19.link
Oppenheim IJ. Mechanics of tensegrity prisms. link
Pagitz M, Mirats Tur JM. 2009 Finite element based form-finding algorithm for tensegrity structures. International Journal of Solids and Structures 46:3235-3240. link
Pena DM, Llorens I, Sastre R. 2010 Application of the tensegrity principles on tensile textile constructions. International Journal of Space Structures 25:57-67. link
Pugh A. 1976 An introduction to tensegrity. University of California Press.
Rieffel J, Valero-Cuevas F, Lipson H. 2009 Automated discovery and optimization of large irregular tensegrity structures. Computers and Structures 87:368-379. link
Rhode-Barbarigos L, Bel Hadj Ali N, Motro R and Smith IFC. 2009 Tensegrity modules for pedestrian bridges. Proceedings of the International Association for Shell and Spatial Structures Symposium. Valencia, Spain. link
Roth B and Whiteley W. 1981 Tensegrity frameworks. Transactions of the American Mathematical Society 265:419-?? link
Skelton RE, Adhikari R, Pinaud JP, Chan W and Helton JW. 2001 An introduction to the mechanics of tensegrity structures. Proceedings of the 40th IEEE Conference on Decision and Control 5:4254-4259. link
Sultan C, Corless M, Skelton RE. 2002 Linear dynamics of tensegrity structures. Engineering Structures 24:671-685.link
Vondrejs V. Tensegrity structures in science, technique and art. link
Wroldwen AS. 2007 Modelling and control of tensegrity structures. PhD thesis. link
Zhang L, Maurin B and Motro R. 2006 Form-finding of nonregular tensegrity systems. Journal structural engineering 132;1435-40. link
BIOLOGICAL TENSEGRITY
Bertolucci LF. 2011 Pandiculation: Nature’s way of maintaining the functional integrity of the myofascial system? Journal of Bodywork and Movement Therapies. 15:268-280.
Bloom K. 2002 Yeast weighs in on the elusive spindle matrix: new filaments in the nucleus. PNAS 99:4757-4759. link
Blumenfeld R. 2006 Isostaticity and controlled force transmission in the cytoskeleton: A model awaiting experimental evidence. Biophysical Journal 91:1970–83. link
Brangwynne CP, Mackintosh FC, Kumar S, Geisse NA, Talbot J, Mahadevan L, Parker KK, Ingber DE and Weitz DA. 2006 Microtubules can bear enhanced compressive loads in living cells because of lateral reinforcement. Journal of Cell Biology 173:733-741. (link)
Butcher JA, Lamb GW. 1984 The relationship between domes and foams: application of geodesic mathematics to micelles. Journal of the American Chemistry Society 106:1217-20. link
Canadas P, Maurin B, Baudriller H, Montcourrier P and Bettache N. 2008 Mechanical model of the cytoskeleton structuration during cell spreading. Journal of Biomechanics 41 (S1). link
Chen TJ, Wu CC, Tang MJ, Huang JS and Su FC. 2010 Complexity of the tensegrity structure for dynamic energy and force distribution of cytoskeleton during cell spreading. PLoS ONE 5:e14392. link
Coughlin MF and Stamenovic D. 2003 A prestressed cable network model of the adherent cell cytoskeleton. Biophysical Journal (84):1328-1336. link
Cretu SM. Tensegrity concept – from natural systems to robots. link
Cretu SM. Tensegrity as a structural framework in life sciences and bioengineering. link
Cretu SM, Brinzan GC. 2011 Tensegrity applied to modelling the motion of viruses. Acta Mech Sin 27:125-129. link
Davies E. 2004 Tensegrity – Architecture to biomechanics. Osteopath Oct/Nov:29-31. link
Davies E. 2004 Tensegrity 2: A new model of the structure function relationship. Osteopath Dec/Jan:41-3.
Du N, Liu XY, Narayanan J, Li L, Lim MLM, Li D. 2006 Design of superior spider silk: from nanostructure to mechanical properties. Biophysical Journal 91:4528-35. link
Dyson RJ, Green JEF, Byrne HM. 2009 Tensegrity as a main determinant of tissue morphogenesis: mathematical modelling of cell interactions with collagen and matrigel. link
Edwards SA, Wagner J, Grater F. 2012 Dynamic prestress in a globular protein. PLoS Computational Biology 8;e1002509. link
Flemons T. Intension designs. link
Galli C, Guizzardi S, Passeri G, Macaluso GM and Scandroglio R. 2005 Life on the wire; on tensegrity and force balance in cells. Acta Bio Med 76:5-12.
Heidemann SR, Kaech S, Buxbaum RE and Matus A. 1999 Direct observations of the mechanical behaviors of the cytoskeleton in living fibroblasts. Journal of Cell Biology 145;(1):109-122. (link)
Hu S, Chen J, Wang N. 2004 Cell spreading controls balance of prestress by microtubules and extracellular matrix. Frontiers in Bioscience 9:2177-2182.link
Huang S and Ingber DE. 1999 The structural and mechanical complexity of cell-growth control. Nature Cell Biology 1:E131-138. link
Ingber DE, Madri JA and Jamieson JD. 1981 Role of basal lamina in neoplastic disorganization of tissue architecture. Proceedings of the National Academy of Science78;(6):3901-3905. link
Ingber DE, Folkmann J. 1989 Mechanochemical switching between growth and differentiation during fibroblast growth factor-stimulated angiogenesis in vitro; role of extracellular matrix. Journal of Cell Biology 109:317-30. link
Ingber DE. 1991 Control of capillary growth and differentiation by extracellular matrix: use of a tensegrity (tensional integrity) mechanism for signal processing. Chest 99:34-40. link
Ingber DE. 1993 Cellular tensegrity: defining new rules of biological design that govern the cytoskeleton. Journal of cell Science 104:613-627.
Ingber DE, Heidemann SR, Lamoureux P and Buxbaum RE. 2000 Opposing views on tensegrity as a structural framework for understanding cell mechanics. Journal of Applied Physiology 89:1663-1678. link
Ingber DE. 1998 The architecture of life. Scientific American Jan. link
Ingber DE. 1999 How cells (might) sense microgravity. The FASEB Journal 13:S3-S15. link
Ingber DE. 2003 Mechanobiology and diseases of mechanotransduction. Annals of Medicine 35. [Review] link
Ingber DE. 2003 Tensegrity I. Cell structure and hierarchical systems biology. Journal of Cell Science 116;(7):1157-1173. (link)
Ingber DE. Tensegrity II. 2003 How structural networks influence cellular information processing networks. Journal of Cell Science 116:1397-1408. (link)
Ingber DE. 2004 The mechanochemical basis of cell and tissue regulation. MCB 1:53-68. link
Ingber DE. 2005 Mechanical control of tissue growth: function follows form. PNAS 102:11571-11572. link
Ingber DE. 2006 Cellular mechanotransduction: putting all the pieces together again. The FASEB J 20;(7):811-827.link
Ingber DE. 2006 Mechanical control of tissue morphogenesis during embryological development. International Journal of Developmental Biology 50:255-266. link
Ingber DE and Levin M. 2007 What lies at the interface of regenerative medicine and developmental biology? Development 134:2541-2547. link
Ingber DE. 2008 Tensegrity-based mechanosensing from macro to micro. [Review] Progress in Biophysics and Molecular Biology 9:163-79.link
Izzard T, Aevarsson A, Allen MD, Westphal AH, Perham RN, De KoK A et al. 1999 Principles of quasi-equivalence an deuclidean geometry govern the assembly of cubic and dodecahedra cores of pyruvate hehydrogenase complexes. PNAS 96:1240-1245. link
Jamali Y, Azimi M, and Mofrad MRK. 2010 A sub-cellular viscoelastic model for cell population mechanics. PLoS ONE 8:e12097. link
Joshi HC, Chu D, Buxbaum RE, Heidemann SR. 1985 Tension and compression in the cytoskeleton of PC 12 neurites. Journal of Cell Biology 101:697-705. link
Kamien RD. 2002 The geometry of soft materials. link
Kassolik K, Andrzejewski W and Trzesicka E. 2007 Role of the tensegrity rule in theoretical basis of massage therapy. Journal of Back and Musculoskeletal Rehabilitation 20:15-20. link
Kumar S, Maxwell IZ, Heisterkamp A, Polte TR, Lele T, Salanga M, Mazur E and Ingber DE, 2006 Viscoelastic retraction of single living stress fibers and Its impact on cell shape, cytoskeletal organization, and extracellular matrix mechanics. Journal of Cellular Physiology 207:767–74. link
LeDuc PR and Bellin RB. 2006 Nanoscale intracellular organization and functional architecture mediating cellular behavior. Annals of BioMedical Engineering 34;(1):102-13. [Review] link
Levin SM. 1982 Continuous tension, discontinuous compression: a model for biomechanical support of the body. The Bulletin of Structural Integration 8(1).link
Levin SM.1986 The icosahedron as the three-dimensional finite element in biomechanical support. link
Levin SM. 1995 The importance of soft tissues for structural support of the body. Spine: state of the art reviews. Dorman,T. ed. 9;(2):357-363 Hanley and Belphus, Philadelphia. link
Levin SM. 1997 Putting the shoulder to the wheel: a new biomechanical model for the shoulder girdle. Journal of Biomedical Sciences Instrumentation 33:412-417. link
Levin SM. 1998 The tensegrity system and pelvic pain syndrome. 3rd Interdisciplinary world congress on low back and pelvic pain. Journal of Mechanics in Medicine and Biology 2;(3&4):375-388. link
Levin SM. 2005 The scapula is a sesamoid bone. Journal of Biomechanics 38;(8):1733-1734. link
Levin SM. 2005 In vivo observation of articular surface contact in knee joints. link
Levin SM. 2007 A suspensory system for the sacrum in pelvic mechanics: biotensegrity. In: Vleeming A, Mooney V, Stoeckart R. eds. Chapter 15 in Movement, stability and lumbopelvic pain. Churchill Livingstone. link
Li J, Dao M, Lim CT and Suresh S. 2005 Spectrin-level modeling of the cytoskeleton and optical tweezers stretching of the erythrocyte. Biophysical Journal 88;(5):3707-3719. link
Liedl T, Hogberg B, Tytell J, Ingber DE, Shih WM.2010 Self-assembly of three-dimensional prestressed tensegrity structues from DNA. Nature Nanotechnology.link
Liu SC, Derik LH and Palek J 1987 Visualization of the erythrocyte membrane skeleton. Journal of Cell Biology 104:527-536. link
Lord EA. 2004 Helical structures: the geometry of protein helices and nanotubes. Structural Chemistry 13. link
Luo Y, Xu X, Lele T, Kumar S and Ingber DE. 2008 A multi-modular tensegrity model of an actin stress fiber. Journal of Biomechanics 41:2379-2387. link
Maina JN. 2006 Spectacularly robust! Tensegrity principle explains the mechanical strength of the avian lung. Respiratory Physiology & Neurobiology 155:1-10. link
Maina JN, Jimoh SA, Hosie H. 2010 Implicit mechanistic role of the collagen, smooth muscle, and elastic tissue components in strengthening the air and blood capillaries of the avian lung. Journal of Anatomy 217:597-608. link
Moore KA, Polte T, Huang S, Shi B, Alsberg E, Sunday ME, Ingber DE. 2005 Control of basement membrane remodeling and epithelial branching morphogenesis in embryonic lung by Rho and cytoskeletal tension. Developmental Dynamics 232:268-81. link
Myers KA, Rattner JB, Shrive NG and Hart DA. 2007 Hydrostatic pressure sensation in cells: integration into the tensegrity model. Biochem Cell Biol 85(5)L543-51. link
Palestini P, Botto L, Rivolta I, Miserocchi G. 2011 Remodelling of membrane rafts expression in lung cells as an early sign of mechnaotransduction-signalling in pulmonary edema. Journal of Lipids link
Parker KK and Ingber DE. 2007 Extracellular matrix, mechanotransduction and structural hierarchies in heart tissue engineering. Philosophical Transactions of the Royal Society B: Biological Sciences. 2114:1-13. link
Parsons J. 2007 Tensegrity – a global model. Osteopathy Today May:12-3.
Pienta KJ, Partin AW, Coffey DS. 1989 Cancer as a disease of DNA organization and dynamic cell structure. Cancer Research 49:2525-2532. link
Pirentis AP and Lazopoulos KA. 2010 On the orientation of plane tensegrity cytoskeletons under biaxial substrate stretching. Advances in Bioscience and Biotechnology 1:12-25. link
Rapoport DL. 2011 On the fusion of physics and klein bottle logic in biology, embryogenesis and evolution. NeuroQuantology 9:842-861. link
Rieffel JA, Valero-Cuevas FJ and Lipson H. 2010 Morphological communication: exploiting coupled dynamics in a complex mechanical structure to achieve locomotion. Journal of the Royal Society Interface 7:613-621.link
Sabin JE, Lloyd-Jones P. Nonlinear systems biology and design: surface design. link
Scarr G. 2008 A model of the cranial vault as a tensegrity structure, and its significance to normal and abnormal cranial development. International Journal of Osteopathic Medicine 11;(3):80-89. link
Scarr G. 2010 Simple geometry in complex organisms. Journal of Bodywork and Movement Therapies 14:424-444. link
Scarr G. 2011 Helical tensegrity as a structural mechanism in human anatomy. International Journal of Osteopathic Medicine 14:24-32. link
Scarr G. in press (2012) A consideration of the elbow as a tensegrity structure. International Journal of Osteopathic Medicine link
Soto AM, Sonnenschein C, Saetzler K and Byrne H. 2009 Tensegrity as a main determinant of tissue morphogenesis. link
Stamenovic D, Mijailovich SM, Tolic-Norrelykke IM and Wang N. 2001 Micromechanics of the cytoskeleton: experimental tests of the cellular tensegrity hypothesis. Bioengineering Conference ASME 50:809-810.
Stamenovic D and Coughlin MF. 2003 A prestressed cable network model of the adherent cell cytoskeleton. Biophysical Journal 84:1328-36.link
Stamenovic D 2006 Models of cytoskeletal mechanics based on tensegrity. Chap 6 in ? link
Stamenovic D and Ingber DE. 2009 Tensegrity-guided self assembly: from molecules to living cells.Soft Matter 5;1137–45. link
Turvey MT. 2007 action and perception at the level of synergies. Human Movement Science 26:657-697. link
Van Essen DC. 1997 A tension-based theory of morphogenesis and compact wiring in the central nervous system. Nature 385:313-318. link
Valero-Cuevas FJ, Yi GW, Bron D, NcNamara RV, Paul C, Lipson H. 2009 The tendon network of the fingers performs anatomical computation at a macroscopic scale. IEEE Transactions on Biomedical Engineering 54;1161. link
Valero – cuevas FJ, 2009 An integrative approach to the biomechanical function and neuromuscular control of the fingers. Journal of Biomechanics 38;673-684. link
Volokh KY. 2011 On tensegrity in cell mechanics. Molecular and Cellular Biomechanics 8:195-214. link
Wang N, Tytell JD and IngberDE. 2009 Mechanotransduction at a distance: mechanically coupling the extracellular matrix with the nucleus. Research in cellular mechanotransduction Nature Reviews Molecular cell Biology10;75. link
Waterman-Storer CM, Salmon WC and Salmon ED. 2000 Feedback interactions between cell-cell adherens junctions and cytoskeletal dynamics I newt lung epithelial cells. Molecular biology of the cell 11:2471-83.
Watson RR, Fu Z, West JB. 2007 Morphometry of the extremely thin pulmonary blood-gas barrier in the chicken lung. Am J Physiol – Lung Cell Molecular Physics 292:L769-77. link
Weibel ER. 2008 How to make an alveolus. European Respiratory Journal 31:483-5. link
Weinbaum S, Zhang X, Han Y, Vink H, and Cowin SC. 2003 Mechanotransduction and flow across the endothelial glycocalyx. Proceedings of the National Academy of Science 100(13):7988-7995. link
Yamada T, Richiert D, Tumminia SJ, Russell P. 2000 The tensegrity model applied to the lens: a hypothesis for the presence of the fiber cell ball and socketws. Medical Hypotheses 55:36-39. link
Zanotti G, Guerra C. 2003 Is tensegrity a unifying concept of protein folds? FEBS Letters 534:7-10. link
Zhang C, Su M, He Y, Zhao X, Fang P, Ribbe AE, Jiang W and Mao C. 2008 Conformational flexibility facilitates self-assembly of complex DNA nanostructures. PNAS 105:10665-9. link
Zheng J, Birktoft JJ, Wang T, Sha R, Constantinou PE, Chen Y et al. The rational design and structural analysis of a self-assembled three-dimensional DNA crystal.link link
Zhu Q, Vera C, Asaro RJ, Sche P and Sung LA. 2007 A hybrid model for erythrocyte membrane: A single unit of protein network coupled with lipid bilayer. Biophysical Journal 93:386-400. link
BIOLOGICAL STRUCTURE
Ahn AN and Full RJ. 2002 A motor and a brake: two leg extensor muscles acting at the same joint manage energy differently in a renning insect. Journal of Experimental Biology 205:379-389. link
Biewener AA, McGowan C, Card GM and Baudinette RV. 2004 Dynamics of leg muscle function in tammar wallabies (M. eugenii) during level versus incline hoping. Journal of Experimental Biology 207:211-223. link
Beloussov LV, Grabovsky VI. 2006 Morphomechanics: goals, basic experiments and models. International Journal of Developmental Biology 50:81-92.
Bolliger B, Erbudak M, Hensch A, Kortan AR, Ott E and Vvedensky DD. 2000 “Pentepistemology” of biological structures and quasicrystals. Physics of low dimensional systems. in Moran – Lopez JL ed. Kluver Academic/Plenum Publishers.
Borkhvardt VG. 2000 The growth and form development of the limb buds in vertebrate animals. Ontogenez 31:192-200. (This is in Russian but the abstract looks like it could be useful to tensegrity research – please let me know if you find a translation.)
Borkhvardt VG. 2001 Invagination and evagination: A hydromechanical model. Russian Journal of Developmental Biology 33(1):13-21. (In English)
Denton MJ, Marshall CJ and Legge M. 2002 The protein folds as platonic forms: new support for the pre-Darwinian conception of evolution by natural law. Journal of Theoretical Biology 219:325-342.
Denton MJ, Dearden PK and Sowerby SJ. 2003 Physical law not natural selection as the major determinant of biological complexity in the subcellular realm: new support for the pre-Darwinian conception of evolution by natural law. BioSystems 71:297-303.
Douady S, Couder Y. 1996 Phyllotaxis as a dynamical self organizing process part I: the spiral modes resulting from time-periodic iterations. Journal of Theoretical Biology 179:255-274.
Emons AMC, Mulder BM. 1998 the making of the architectue of the plant cell wall: how cells exploit geometry. PNAS 95:7215-7219.
Engler AJ, Sen S, Sweeney HL, Discher DE. 2006 Matrix elasticity directs stem cell lineage specification. Cell 126:677-689. link
Foty RA, Pfleger CM, Forgacs G and Steinberg MS. 1996 Surface tensions of embryonic tissues predict their mutual envelopment behavior. Development 122:1611-1620. link
Fratzl P, Gupta HS, Paschalis EP, Roschger P. 2004 Structure and mechanical quality of the collagen-mineeral nano-composite in bone. Journal of Materials Chemistry 14:2115-2123.
Gonzalez A. 2010 Measurement of areas on a sphere using Fibonacci and latitude-longitude lattices. Math Geosci 42;49.64.
Gordon JE. 1978 Structures, or why things don’t fall down. Penguin.
Gordon R. 2006 Mechanics in embryogenesis and embryonics: prime mover or epiphenomenon? International Journal of Developmental Biology 50:245-253. link
Guimberteau JC, Sentucq-Rigall J, Panconi B, Boileau R, Mouton P, Bakhack J. Introduction to the knowledge of subcutaneous sliding system in humans. Annales de Chiruggie Plastique Esthetique 2005;50:19-34. (in English)
Gupta S and van der Helm FCT. 2004 Load transfer across the scapula during humeral abduction. Journal of Biomechanics 37;(7):1001-1009. llink
Harold FM. 2005 Molecules into Cells: specifying spatial architecture. Microbiology and Molecular Biology Review. 69;(4):544-564. link
Henderson JH, Carter DR. 2002 Mechanical induction in limb morphogenesis: the role of growth-generated strains and pressures. Bone 31:645-53. link
Hentschel HGE, Glimm T, Glazier JA and Newman SA 2004 Dynamical mechanisms for skeletal pattern formation in the vertebrate limb.Proceedings of the Royal Soiety London B 271:1713-1722. link
Heylighen F. 1996 The growth of structural and functional complexity during evolution. Heylighen F & Aerts D (eds) The evolution of complexity.
Hilgenfeldt S, Erisken S and Carthew RW. Physical modeling of cell geometric order in an epithelial tissue. PNAS 105;(3):907-911. link
Ho M, Yu-Ming Z, Haffegee J, Watton A, Musumeci F, Privitera G, Scordino A. 2006 The liquid crystalline organism and biological water. In: Pollack G, et al (eds) Water and the cell. 219-234.
Ho M. 2011 Genes don’t generate body patterns. Institute of Science in Society link
Ho M. 2011 Liquid crystalline morphogenetic field. Institute of Science in Society link
Jager I and Fratzl P. 2000 Mineralized collagen fibrils: a mechanical model with a staggered arrangement of mineral particles. Biophysical Journal 79:1737-1746. link
Janmey PA. 1998 The cytoskeleton and cell signaling: component localization and mechanical coupling. Physiological Reviews 78:763-781. link
Jasinoski SC, Reddy BD, Louw KK and Chinsamy A. 2010 Mechanics of cranial sutures using the finite element method. Journal of Biomechanics 43:3104-3111.
Kadler KE, Hill A, Canty-Laird EGC. 2008 Collagen fibrillogenesis: fibronectin, integritns, and minor collagens as orgainizers and nucleators. Current Opinion in Cell Biology 20:495-501.
Keller R Davidson LA and Shook DR. 2003 How we are shaped: the biomechanics of gastrulation. Differentiation 71:171-205. link
Kim JH, Dooling LJ and Asthagiri AR. 2010 Intercellular mechanotransduction during multicellular morphodynamics. Journal of the Royal Society Interface 7:S341-S350. link
Kjaer M. 2004 Role of extracellular matrix in adaptation of tendon and skeletal muscle to mechanical loading. Physiological Reviews 84:649-698. [Review] link
Klotzsch E, Smith ML, Kubow KE, Muntwyler S, Little WC, Beyeler F, et al. 2009 Fibronectin forms the most extensible biological fibers displaying switchable force-exposed cryptic binding sites. Proceedings of the National Academy of Science 106:18267-18272. link
Knight DP and Vollrath F. 2002 Biological liquid crystal elastomers. Philosophical Transactions of the Royal Society of London B 357:155-163. link
Koehl MAR, Quillin KJ and Pell CA. 2000 Mechanical design of fiber-wound hydraulic skeletons: the stiffening and strightening of embryonic notochords. American Zoologist 40:28-41. link
Koob TJ, Long JH. 2000 The vertebrate body axis: evolution an dmechanical function. American Zoologist 40:1-18.
Korff T, Augustin HG. 1999 Tensional forces in fibrillar extracellular matrices control directional capillary sprouting. Journal of Cell Science 112:3249-3258. link
Kovacs F, Tarnai T, Guest SD, Fowler PW. 2004 Double-link expandohedra: a mechanical model for expansion of a virus. Proceedings of the Royal Society of London A 460:3191-3202. link
Kroto HW, McKay K. 1988 the formation of quasi-icosahedral spiral shel carbon particles. Nature 331:328-331.
Kushner DJ. 1969 Self-assembly of biological structures. Bacteriological Reviews 33;(2):302-345. link
Lakes R. 1987 Negative Poissons ratio materials. Science 238:551.
tolic-norrelykke
Lakes R. 2001 Elastic an dviscoelastic behavior of chiral materials. International Journal of Mechanical Sciences.
Langevin HM, Cornbrooks CJ and Taatjes DJ. 2004 Fibroblasts form a body-wide cellular network. Histochem Cell Biol 122:7-15.
Langevin HM. 2006 Connective tissue: a body-wide signaling network? Medical hypotheses. link
Langevin HM, Huijing PA. 2009 Communicating about fascia: history, pitfalls, and recommendations. International Journal of therapeutic Massage and Bodywork 2.
Lecuit T 2008 “Developmental mechanics”: cellular patterns controlled by adhesion, cortical tension and cell division. HFSP Journal 2:72-78.
Liu B, Kim TJ, Wang Y. 2010 Live cell imaging of mechanotransduction. Journal of the Royal Society Interface 7: S365-S375.
Losa GA. 2005 Do complex cell structures share a fractal-like organization? 6 eme Congres Europeen de Science des Systemes.
Mao Y and Schwarzbauer JE. 2005 Fibronectin fibrillogenesis, a cell-mediated matrix assembly process. Matrix biology 24:389-399.
Martins GG, Rifes P, Amandio R, Rodrigues G, Palmeirim I, Thorsteinsdottir S. 2009 Dynamic 3D cell rearrangements guided by a fibronectin matrix underlie somitogenesis. Plos One 4:e7429
Mazumder A, Shivashankar GV. 2010 Emergence of a prestressed eukaryotic nucleus during cellulear differentiation and development. Journal of the Royal Society Interface 7: S321-s330.
Miroshnychenko D, Hill NA, Mottram NJ, Lydon JE. 2006 Does liquid crystal pre-patterning govern microtubule arrangement in mitosis?
Moore SM, Ellis B, Weiss JA, McMahon PJ and Debski RE. 2010 The glenohumeral capsule should be evaluated as a sheet of fibrous tissue: A validated finite element model. Annals of Biomedical Engineering 38:66-76.
Morishita Y and Iwasa Y. 2008 Growth based morphogenesis of vertebrate limb bud. Bulletin of Mathematical Biology 70:1957-1978.
Mulder B, Schel J, Emons AM. 2004 How the geometrical model for plant cell wall formation enables the production of a random texture. Cellulose 11:395-401.
Nelson CM, Jean RP, Tan JL, Liu WF, Sniadecki NJ, Spector AA and Chen CS. 2005 Emergent patterns of growth controlled by multicellular form and mechanics. Proceedings of the National Academy of Science102;(33):11594-11599. link
Newman SA and Muller GB.2005 Origination and innovation in the vertebrate limb skeleton: an epigenetic perspective. Journal of experimental zoology (Mol Dev Evol) 304B:593-609.link
Nisoli, C, Gabor NM, Lammert PE, Maynard JD, Crespi VH. 2010 Annealing a magnetic cactus into phyllotaxis. Physical Review 81;4.
Olszta MJ Cheng X, Jee SS, Kumar R, Kim YY, Kaufman MJ, Douglas EP and Gower LB. 2007 Bone structure and formation: a new perspective. Materials Science and Engineering. link
Pandov R and Yamada KM. 2002 Fibronectin at a glance. Journal of Cell Science 115:3861-3863. link
Patwari P and Lee RT 2008 Mechanical control of tissue morphogenesis. Circ Res 103;234-43. link
Pompe T, Renner L, Werner C. 2005 Nanoscale features of fibronectin fibrillogenesis depend on protein-substrate interaciton and cytoskeleton structure. Biophysical Journal 88:527-534. link
Radlanski RJ and Renz H. 2006 Genes, forces, and forms: mechanical aspects of prenatal craniofacial development. Developmental dynamics 235;1219-29.
Rapoport DL. 2011 Surmounting the Cartesian cut: Klein bottle logophysics, the Dirac algebra and the genetic code. NeuroQuantology 9:862-881. link
Sabin JE, and Jones PL. Nonlinear systems biology and desigh: surface design. link
Salazar-Ciudad I, Jernvall J and Newman SA. 2003 Mechanisms of pattern formation in development and evolution. Development 130:2027-2037.
Salvadori M. 1980 Why buildings stand up: the strength of architecture. WW Norton; p83.
Seeman NC, Belcher AM. 2002 Emulating biology: building nanostructures from the bottom up. PNAS 99:6451-6455. link
Stewart I. 1998 Life’s other secret: The mathematics of the living world. Penguin.
Sverdlova NS and Witzel U. 2010 Principles of determination and verification of muscle forces in the human musculoskeletal system: Muscle forces to minimise bending stress. Journal of Biomechanics 43:387-396.
Teck Lim C, Bershadsky A, Sheetz MP. 2010 Mechanobiology. Journal of the Royal Society Interface S291-S293.
Thompson d’Arcy W. 1961 On growth and form. Bonner, J.T. ed., Cambridge University Press.
Valero-Cuevas FJ, Yi JW, McNamara RV, Paul C, Lipson H. 2007 The tendon network of the fingers performs anatomical computation at a macroscopic scale. IEEE Transactions on Biomedical Engineering 54;1161-1166. link
Vogel V. Mechanotransduction: design principles of mechano-chemical signal converters. slide presentation. link
Wierzbicka-Patynowski I and Schwarzbauer JE. 2003 The ins and outs of fibronectin matrix assembly. Journal of Cell Science 116:3269-3276.
BIOLOGICAL GEOMETRY
Bassnett S, Missey H and Vucemilo I. 1999 Molecular architecture of the lens fiber cell basal membrane complex. Journal of Cell Science 112:2155-2165. link
Caspar DLD. 1980 Movement and self-control in protein assemblies. Quasi-equivalence revisited. Biophysical Journal 32;(1):103-133. link
Chaplin M. Water as a network of icosahedral clusters. link
Clinton JD. Clintons equal central angle conjecture. link
Crick FHC. and Watson JD. 1956 Structure of small viruses. Nature 177;(4506):473-475.
Day R, Lennox KP, Dahl DB, Vannucci M, Tsai JW. 2010 Characterizing the regularity of tetrahedral packing motifs in protein tertiary structure. Bioinformatics 26:3059-3066. link
Fischer S, Exner A, Zielske K, Perlich J, Deloui S, Steurer W et al. 2011/12? Colloidal quasicrystals with 12-fold and 18-fold diffraction symmetry. PNAS link
Gibson CM, Gibson WJ, Murphy SA, Marble SJ, McCabe CH, Turakhia P, et al. 2003 Association of the Fibonacci cascade with the distribution of coronary artery lesions responsible for st-segment elevation myocardial infarction. American Journal of Cardiology 92:595-7.
Green CD. 1995 All that glitters: a review of psychological research on the aesthetics of the Golden Section. Perception 24:937-968. link
Hart GW. 2008 Sculptural forms from hyperbolic tesselations. Proceedings of IEEE shape modeling international. link
Hilgenfeldt S, Erisken S and Carthew RW. 2008 Physical modeling of cell geometric order in an epithelial tissue. PNAS105:907-911.
Hwang E. Penrose tilings and quasicrystals. link
Izard T, Aevarsson A, Allen MD, Westphal AH, Perham RN et al. 1999 Principles of quasi-equivalence and Euclidean geometry govern the assembly of cubic and dodecahedral cores of pyruvate dehydrogenase complexes. PNAS 96:1240-1245. link
Johnston JC, Kastelowitz N, Molinero V. 2010 Liquid to quasicrystal transition in bilayer water. Journal of Chemical Physics 133. link
Judge R. Vector equilibrium and its trnasformation pathways. link
Keef T, Twarock R. 2005 A new series of polyhedra as blueprints for viral capsids in the family of Papovaviridae. link
Kreigh M and Kreigh J. 2003 Growth, form and proportion in nature: lessons for human habitation in off planet environments. 33rd International Conference on Environmental Systems, Vancouver Canada.
Levin SM. 1986 The icosahedron as the three-dimensional finite element in biomechanical support. Proceedings of the Society of General System Research Symposium on Mental Images, Values and Reality pp G14-G26. Philadelphia.
Levine D. 1985 Quasicrystals. Journal de Physique link
Loboda O, Goncharuk V. 2010 Theoretical study on icosahedral water clusters. Chemical Physics Letters 484:144-147.
Lord EA. 1991 Quasicrystals and Penrose patterns. Current Science 61:313-319. link
Lord EA, Ranganathan S. 2001 The Gummelt decagon as a ‘quasi unit cell’. Acta Cryst A57:531-539. link
Maguire P, Kilpatrick JI, Kelly G, Prendergast PJ, Campbell VA, Connell BC and Jarvis SP. 2007 Direct mechanical measurement of geodesic structures in rat mesenchymal stem cells. Human Frontier Science Program Journal 1;(3):181-191. link
Malygin AG. 2006 Morphodynamics of phyllotaxis. International Journal of Developmental Biology 50:277-287. link
Pauling L. 1964 The architecture of molecules. Proceedings of the National Academy of Science 51:977-984. link
Pauling L. 1990 Evidence from electron micrographs that icosahedral quasicrystals are icosahedral twins of cubic crystals. Proceedings of the National Academy of Science 87:7849-7850 link
Pesen D and Hoh JH. 2005 Micromechanical Architecture of the Endothelial Cell Cortex. Biophysical Journal 88:670–9.
Ramachandrarao P, Sinha A, Sanyal D. 2000 On the fractal nature of Penrose tiling. Current Science 79:364-366. link
Sadoc JF, Rivier N. 2000 Boerdijk-Coxeter helix and biological helices. European Physical Journal 294-296:397-400. link
Sanner MF, Stolz M, Burkhard P, Kong XP, Min G, Sun TT, Driamov S, Aebi U and Stoffler D. 2005 Visualizing nature at work from the nano to the macro scale. NanoBiotechnology 1:7-21.
Schechtman D, Blech I. 1984 Metallic phase with long-range orientational order and no translational symmetry. Physical Review Letters 53:1951-1953. link
Socolar JES, Steinhardt PJ, Levine D. 1985 Quasicrystals with arbitrary orientational symmetry. Physical Review B 32:5547-5549. link
Socolar JES. 1989 Simple octagonal and dodecagonal quasicrystals. Physical Review B 10519-10551. link
Swinton J. Watching the daisies grow: Turing and Fibonacci Phyllotaxis. link
Ungar G, Zeng X. 2005 Frank-Kasper, quasicrystalline and related phases in liquid crystals. Soft Matter 1:95-106. link
Ungar G, Percec V, Zeng X, Leowanawat P. 2011 Liquid quasicrystals. Israel Journal of Chemistry 51:1206-1215. link
Zhu Q, Vera C, Asaro RJ Sche P and Sung A. 2007 A Hybrid Model for Erythrocyte Membrane: A Single Unit of Protein Network Coupled with Lipid Bilayer. Biophysical Journal93:386-400.
Sunada T. 2008 Crystals that nature might miss creating. Notices of the American Mathematical Society 55;(2):208-215. link
Teo BK and Zhang H. 1991 Clusters of clusters: Self-organization and self-similarity in the intermediate stages of cluster growth of Au-Ag supraclusters. Proceedings of the National Academy of Science 88:5067-5071. link
Terrones H, Terrones M, Moran-Lopez JL. 2001 Curved nanaomaterials. Current Science 81:1011-1029.
Tickle C. 2003 Patterning systems – from one end of the limb to the other. Developmental Cell 4:449-458.
Twarock R. 2006 Mathematical virology: a novel approach to the structure and assembly of viruses. Philosophical transactions of the Royal Society 364:3357-3373. link
Ungar G, Zeng X. 2005 Frank-Kasper, quasicrystalline and related phases in liquid crystals. Soft Matter 1:95-106. link
Ungar G, Percec V, Zeng X, Leowanawat P. 2011 Liquid quasicrystals. Israeli Journal of Chemistry 51:1206-1215. link
Van Workum K and Douglas JF. 2006 Symmetry, equivalence, and molecular self-assembly. Physical Review 73;(031502):1-15.
Verheyen HF. 1989 The complete set of jitterbug transformers and the analysis of their motion. Computing and Maths Applications 17:203-50.
Zandi R, Reguera D. Mechanical properties of viral capsids. link
STRUCTURAL HIERARCHIES
Aizenberg J, Weaver JC, Thanawala MS, Sundar VC, Morse DE and Fratzl P. 2005 Skeleton of Euplectella sp: Structural hierarchy from the nanoscale to the macroscale. Science 309:275-278.
Du N, Liu XY, Narayanan J, Li L, Lek Min Lim M and Li D. 2006 Design of superior spider silk: from nanostructure to mechanical properties. Biophysical Journal 91;(12):4528-4535. link
Gao H, Ji Baohua, Jager IL, Arzt E and Fratz P. 2003 Materials become insensitive to flaws at nanoscale: lessons from nature. Proceedings of the National Academy of Science 100;(10):5597-5600. link
Graham RL and Spencer JH. 1990 Ramsey theory. Scientific American (Jul);80-85.
Gupta HS, Seto J, Wagermaier W, Zaslansky P Boesecke P and Fratzl P. 2006 Cooperative deformation of mineral and collagen in bone at the nanoscale. Proceedings of the National Academy of Science 103;(47):17741-17746. link
Heylighen F. 1996 The growth of structural and functional complexity during evolution. In: Heylighen F and Aerts D. (eds) The evolution of complexity. Kluwer Academic Publishers.
Jager I and Fratzl P. 2000 Mineralized collagen fibrils: a mechanical model with a staggered arrangement of mineral particles. Biophysical Journal 79:1737-1746. link
Ker RF. 2008 Damage and fatigue. In: Fratzl P. editor. Collagen: structure and mechanics. Springer. p.111-132.
Lakes R. 1993 Materials with structural hierarchy. Nature 361:511-515. link
Termonia Y. 1994 Molecular modeling of spider silk elasticity. Macromolecules 27:7378-7381.
THE HELIX
Atela P, Gole C, Hotton S. 2002 A dynamical system for plant pattern formation: a rigorous analysis. Journal of Nonlinear Science 12:641-76. link
Buckberg GD. 2002 Basic science review: the helix and the heart. Journal of Thoracic and Cardiovascular Surgery 124:863-83. link
Carey EJ. 1920 Studies in the dynamics of histogenesis I. Tension of differential growth as a stimulus to myogenesis. Journal of General Physiology 2:357-72. link
Carey EJ. 1920 Studies in the dynamics of histogenesis II. Tension of differential growth as a stimulus to myogenesis in the esophagus. Journal of General Physiology 3:61-83. link
Charvolin J and Sadoc JF. 2011 A phyllotactic approach to the structure of collagen fibrils. Biological Review Letters link
Chouaib N, Goriely A, Maddocks JH. Helices. 2006 Proceedings of the National Academy of Science103:9398-403. link
Clark RB, Cowey JB. 1958 Factors controlling the change of shape of certain nemertean and turbellarian worms. Journal of Experimental Biology 35:731-48. link
Douady S, Couder Y. 1992 Phyllotaxis as a physical self-organized growth process. Physical Reviews and Letters 68:2098-101. link
Etnier SA. 2003 Twisting and bending of biological beams: distribution of biological beams in a stiffness mechanospace. Biological Bulletin 205:36-46. link
Gabella J. 1987 The cross-ply arrangement of collagen fibres in the submucosa of the mammalian small intestine. Cell and Tissue Resource 248:491-7.
Galloway J. 2002 Helical imperative: paradigm of form and function. Encyc. Life Sci. (online) Wiley Interscience. link
Grosberg A. 2008 A bio-inspired computational model of cardiac mechanics: pathology and development. PhD.thesis, California Institute of Technology, Pasadena California. link
Gutsmann T, Fantner GE, Venturoni M, Ekan-Nkodo A, Thompson JB, Kindt JH. 2003 Evidence that collagen fibrils in tendons are inhomogeneously structured in a tubelike manner. Biophysical Journal 84:2593-8. link
Hagmann J. 1993 Pattern formation and handedness in the cytoskeleton of human platelets. Proceedings of the National Academy of Science 90:3280-3. link
Hebrank MR. 1980 Mechanical properties and locomotor functions of eel skin. Biological Bulletin 158:58-68. link
Holzapfel GA. 2008 Collagen in arterial walls: biomechanical aspects. In: Fratzl P, Editor. Collagen: structure and mechanics. Springer; pp. 285-324.
Hulmes DJS, Wess TJ, Prockop DJ, Fratzl, P. 1995 Radial packing, order, and disorder in collagen fibrils. Biophysics Journal 68:1661-70. link
Hukins DWL, Meakin JR. 2000 Relationship between structure and mechanical function of the tissues of the intervertebral joint. American Zoologist 40:42-52. link
Johnson S, Kier WM. 1993 Intramuscular crossed connective tissue fibres: skeletal support in the lateral fins of squid and cuttlefish (Mollusca: Cephalopoda). Journal of Zoology London231:311-38. link
Jones LJF, Carballido-Lopez R, Errington J. 2001 Control of cell shape in bacteria: helical, actin-like filaments in Bacillus subtilis. Cell 104:913-922. link
Kier WM, Smith KK. 1985 Tongues, tentacles and trunks: the biomechanics of movement in muscular-hydrostats. Zoological Journal of the Linnaean Society 83:307-24. link
Koob TJ, Long JH. 2000 The vertebrate body axis: evolution and mechanical function. American Zoologist 40:1-18. link
Lloyd C, Chan J. 2002 Helical microtubule arrays and spiral growth. The Plant Cell 14:2319-2324. link
Lord EA and Ranganathan S. 2001 Sphere packing, helices and the polytope {3,3,5}. European Physical Journal D 15:335-343. link
Lord EA. 2004 Helical structures: the geometry of protein helices and nanotubes. Structural Chemistry 13:305-313. link
Lord EA and Ranganathan S. 2004 The gamma-brass structure and the Boerdijk-Coxeter helix. Journal of non-crystalline solids 334-335:121-125. link
Tolic-norrelykke 2008
Novotny M, Kleywegt GJ. 2005 A survey of left-handed helices in protein structures. Journal of Molecular Biology 347:231-41. link
Reilly JC, Summers AP, Ritter DA. 2000 The evolution of the functional role of trunk muscles during locomotion in adult amphibians. American Zoologist 40:123-35. link
Orgel JPRO, Irving TC, Miller A, Wess TJ. 2006 Microfibrillar structure of type I collagen in situ. Proceedings of the National Academy of Science 103:9001-5. link
Pabst DA. 2000 To bend a dolphin: convergence of force transmission designs in cetaceans and scombrid fishes. American Zoologist 40:146-55. link
Parry DAD, Fraser RD, Squire JM. 2008 Fifty years of coiled-coils and alpha-helical bundles: A close relationship between sequence and structure. Journal of Structural Biology 163:258-69. link
Pauling L, Corey RB, Branson HR. 1951 The structure of proteins: two hydrogen-bonded helical configurations of the polypeptide chain. Proceedings of the National Academy of Science 37:205-11. link
Perumal S, Antipova O and Orgel JPRO. 2008 Collagen fibril architecture, domain organization, and triple-helical conformation govern its proteolysis. Proceedings of the National Academy of Science105;(8):2824-2829. link
Pickett GT. Gross M, Okuyama H. 2000 Spontaneous chirality in simple systems. Physical Reviews and Letters 85:3652-5. link
Purslow PP. 2008 The extracellular matrix of skeletal and cardiac muscle. In: Fratzl P, Editor Collagen: structure and mechanics. Springer; p.325-353.
Sadoc JF and Rivier N. 2000 Boerdijk-Coxeter helix and biological helices as quasicrystals. Materials Science and Engineering 294-296:397-400. link
Shadwick R. 2008 Foundations of animal hydraulics: geodesic fibres control the shape of soft bodied animals. Journal of Experimental Biology 211:289-91. link
Vicente M, Lowe J. 2003 Ring, helix, sphere and cylinder: the basic geometry of prokaryotic cell division. European Molecular Biology Organization reports 4:655-660. link
Zheng C, Hoffmann R, Nelson DR. 1990 A helical face-sharing tetrahedron chain with irrational twist, stella quadrangular, and related matters. Journal of the American Chemistry Society 112:3784-91. link