메뉴 건너뛰기




Volumn 133, Issue 4, 2011, Pages

The specific growth rates of tissues: A review and a re-evaluation

Author keywords

Continuum models; Open systems; Specific growth rate; Tissue growth

Indexed keywords

ANALYTICAL DESCRIPTION; BASIC CONCEPTS; BIOLOGICAL GROWTH; CAMBRIDGE; CAMBRIDGE UNIVERSITY; CARLSON; CO-ORDINATE TRANSFORMATION; CONTINUUM MODEL; FINITE DISPLACEMENT; FINITE ELASTICITY; GROWTH VELOCITY; MIXTURE THEORY; MODEL-BASED; NEW YORK; PREDICTED GROWTH; RE-EVALUATION; SIZE AND SHAPE; SOLID MECHANICS; SPECIFIC GROWTH RATE; TEMPORAL EVOLUTION; THOMPSON; TISSUE GROWTH; VELOCITY FIELD;

EID: 79951547240     PISSN: 01480731     EISSN: 15288951     Source Type: Journal    
DOI: 10.1115/1.4003341     Document Type: Article
Times cited : (15)

References (99)
  • 1
    • 0001773156 scopus 로고
    • Growth as a Finite Displacement Field
    • D. E. Carlson, R. T. Shield, and , eds., Nijhoff, The Hague
    • Skalak R. Growth as a Finite Displacement Field. Proceedings of the IUTAM Symposium on Finite Elasticity 1981, 348-355. D. E. Carlson, R. T. Shield, and eds., Nijhoff, The Hague.
    • (1981) Proceedings of the IUTAM Symposium on Finite Elasticity , pp. 348-355
    • Skalak, R.1
  • 3
    • 4644347150 scopus 로고
    • The 'Laws' of Biological Growth
    • NATUAS, 0028-0836, 10.1038/148772a0
    • Medawar P.B. The 'Laws' of Biological Growth. Nature (London) 1941, 148:772-774. NATUAS, 0028-0836, 10.1038/148772a0.
    • (1941) Nature (London) , vol.148 , pp. 772-774
    • Medawar, P.B.1
  • 5
    • 0003293418 scopus 로고
    • On the Nature of the Function Expressive of the Law of Human Mortality, and on a New Mode of Determining the Value of Life Contingencies
    • PTRMAD, 0962-8428, 10.1098/rstl.1825.0026
    • Gompertz B. On the Nature of the Function Expressive of the Law of Human Mortality, and on a New Mode of Determining the Value of Life Contingencies. Philos. Trans. R. Soc. London 1825, 115:513-583. PTRMAD, 0962-8428, 10.1098/rstl.1825.0026.
    • (1825) Philos. Trans. R. Soc. London , vol.115 , pp. 513-583
    • Gompertz, B.1
  • 6
    • 0001119103 scopus 로고
    • Notice sur la loi que la population suit dans son accroissement
    • pp.
    • Verhulst P.-.F. Notice sur la loi que la population suit dans son accroissement. Corr. Math. et Phys. 1838, 10:113-121. pp.
    • (1838) Corr. Math. et Phys. , vol.10 , pp. 113-121
    • Verhulst, P.-.F.1
  • 7
    • 0002298459 scopus 로고
    • Recherches mathématiques sur la loi d'accroissement de la population (Mathematical Researches Into the Law of Population Growth Increase)
    • Belgian Royal Academy, Brussels
    • Verhulst P.-.F. Recherches mathématiques sur la loi d'accroissement de la population (Mathematical Researches Into the Law of Population Growth Increase). Nouveaux Mémoires de l'Académie Royale des Sciences et Belles-Lettres de Bruxelles 1845, 18:1-42. Belgian Royal Academy, Brussels.
    • (1845) Nouveaux Mémoires de l'Académie Royale des Sciences et Belles-Lettres de Bruxelles , vol.18 , pp. 1-42
    • Verhulst, P.-.F.1
  • 9
    • 0002587798 scopus 로고
    • The Gompertz Curve as a Growth Curve
    • PNASA6, 0027-8424, 10.1073/pnas.18.1.1
    • Winsor C.P. The Gompertz Curve as a Growth Curve. Proc. Natl. Acad. Sci. U.S.A. 1932, 18:1-8. PNASA6, 0027-8424, 10.1073/pnas.18.1.1.
    • (1932) Proc. Natl. Acad. Sci. U.S.A. , vol.18 , pp. 1-8
    • Winsor, C.P.1
  • 10
    • 0012804451 scopus 로고
    • Book Review of Pearl
    • JSTNAL, 0003-1291, 10.2307/2276990
    • Wright S. Book Review of Pearl. J. Am. Stat. Assoc. 1926, 21:493-497. JSTNAL, 0003-1291, 10.2307/2276990.
    • (1926) J. Am. Stat. Assoc. , vol.21 , pp. 493-497
    • Wright, S.1
  • 12
    • 0000054180 scopus 로고
    • On the Rate of Growth of the Population of the United States Since 1790 and Its Mathematical Representation
    • PNASA6, 0027-8424, 10.1073/pnas.6.6.275
    • Pearl R. Reed L.J. On the Rate of Growth of the Population of the United States Since 1790 and Its Mathematical Representation. Proc. Natl. Acad. Sci. U.S.A. 1920, 6:275-288. PNASA6, 0027-8424, 10.1073/pnas.6.6.275.
    • (1920) Proc. Natl. Acad. Sci. U.S.A. , vol.6 , pp. 275-288
    • Pearl, R.1    Reed, L.J.2
  • 13
    • 79951548097 scopus 로고
    • Growth and Senescence in Purebred Jersey Cows
    • pp.
    • Davidson F.A. Growth and Senescence in Purebred Jersey Cows. Bull. Univ. Ill. Agric. Exp. Sta 1928, 302(21):183-230. pp.
    • (1928) Bull. Univ. Ill. Agric. Exp. Sta , vol.302 , Issue.21 , pp. 183-230
    • Davidson, F.A.1
  • 14
    • 79951530547 scopus 로고
    • The Age and Growth of the Pacific Cockle (Cardium Corbis, Martyn)
    • Bulletin No. 1101
    • Weymouth F.W. Thompson S.H. The Age and Growth of the Pacific Cockle (Cardium Corbis, Martyn). Bull. U.S. Bur. Fish. 1931, 46:633-641. and Bulletin No. 1101.
    • (1931) Bull. U.S. Bur. Fish. , vol.46 , pp. 633-641
    • Weymouth, F.W.1    Thompson, S.H.2
  • 15
    • 0010853826 scopus 로고
    • Latitude and Relative Growth in the Razor Clam, Siliqua patula
    • JEBIAM, 0022-0949
    • Weymouth F.W. McMillin H.C. Rich W.H. Latitude and Relative Growth in the Razor Clam, Siliqua patula. J. Exp. Biol. 1931, 8:228-249. JEBIAM, 0022-0949.
    • (1931) J. Exp. Biol. , vol.8 , pp. 228-249
    • Weymouth, F.W.1    McMillin, H.C.2    Rich, W.H.3
  • 16
    • 84966166281 scopus 로고
    • Dynamics of Tumor Growth
    • BJCAAI, 0007-0920, 10.1038/bjc.1964.55
    • Laird A.K. Dynamics of Tumor Growth. Br. J. Cancer 1964, 18:490-502. BJCAAI, 0007-0920, 10.1038/bjc.1964.55.
    • (1964) Br. J. Cancer , vol.18 , pp. 490-502
    • Laird, A.K.1
  • 17
    • 0013798864 scopus 로고
    • Dynamics of Normal Growth
    • GROWAH, 0017-4793
    • Laird A.K. Tyler S.A. Barton A.D. Dynamics of Normal Growth. Growth 1965, 29:233-248. GROWAH, 0017-4793.
    • (1965) Growth , vol.29 , pp. 233-248
    • Laird, A.K.1    Tyler, S.A.2    Barton, A.D.3
  • 18
    • 77952197455 scopus 로고    scopus 로고
    • A Note on Verhulst's Logistic Equation and Related Logistic Maps
    • ZZZZZZ, 1751-8113, 10.1088/1751-8113/43/20/205204
    • Ranferi Gutiérrez M. Reyes M.A. Rosu H.C. A Note on Verhulst's Logistic Equation and Related Logistic Maps. J. Phys. A: Math. Theor. 2010, 43:205204. ZZZZZZ, 1751-8113, 10.1088/1751-8113/43/20/205204.
    • (2010) J. Phys. A: Math. Theor. , vol.43 , pp. 205204
    • Ranferi Gutiérrez, M.1    Reyes, M.A.2    Rosu, H.C.3
  • 19
    • 0016974131 scopus 로고
    • Bone Remodeling I: A Theory of Adaptive Elasticity
    • JELSAY, 0374-3535, 10.1007/BF00041724
    • Cowin S.C. Hegedus D.H. Bone Remodeling I: A Theory of Adaptive Elasticity. J. Elast. 1976, 6:313-326. JELSAY, 0374-3535, 10.1007/BF00041724.
    • (1976) J. Elast. , vol.6 , pp. 313-326
    • Cowin, S.C.1    Hegedus, D.H.2
  • 20
    • 4043147979 scopus 로고
    • A Flexible Growth Function for Empirical Use
    • JEBOA6, 0022-0957, 10.1093/jxb/10.2.290
    • Richards F.J. A Flexible Growth Function for Empirical Use. J. Exp. Bot. 1959, 10:290-301. JEBOA6, 0022-0957, 10.1093/jxb/10.2.290.
    • (1959) J. Exp. Bot. , vol.10 , pp. 290-301
    • Richards, F.J.1
  • 21
    • 0015685279 scopus 로고
    • Generalized Verhulst Laws for Population Growth
    • Zwanzig, R., PNASA6, 0027-8424, 10.1073/pnas.70.11.3048
    • Generalized Verhulst Laws for Population Growth. Proc. Natl. Acad. Sci. U.S.A. 1973, 70:3048-3051. Zwanzig, R., PNASA6, 0027-8424, 10.1073/pnas.70.11.3048.
    • (1973) Proc. Natl. Acad. Sci. U.S.A. , vol.70 , pp. 3048-3051
  • 23
    • 0000176233 scopus 로고
    • The Growth, Growth Energy, and Ageing of the Chicken's Heart
    • PRLBA4, 0962-8452, 10.1098/rspb.1940.0042
    • Medawar P.B. The Growth, Growth Energy, and Ageing of the Chicken's Heart. Proc. R. Soc. London, Ser. B 1940, 129:332-355. PRLBA4, 0962-8452, 10.1098/rspb.1940.0042.
    • (1940) Proc. R. Soc. London, Ser. B , vol.129 , pp. 332-355
    • Medawar, P.B.1
  • 24
    • 2442699754 scopus 로고    scopus 로고
    • Logistic Equations in Tumor Growth Modelling
    • AMCPE9, 0867-857X
    • Forys U. Marciniak-Czochra A. Logistic Equations in Tumor Growth Modelling. Int. J. Appl. Math Comput. Sci. 2003, 13:317-325. AMCPE9, 0867-857X.
    • (2003) Int. J. Appl. Math Comput. Sci. , vol.13 , pp. 317-325
    • Forys, U.1    Marciniak-Czochra, A.2
  • 25
    • 3042980623 scopus 로고
    • Senescence and Rejuvenation
    • JPHYA7, 0022-3751
    • Minot C.S. Senescence and Rejuvenation. J. Physiol. (London) 1891, 12(2):97-153. JPHYA7, 0022-3751.
    • (1891) J. Physiol. (London) , vol.12 , Issue.2 , pp. 97-153
    • Minot, C.S.1
  • 27
    • 0033215430 scopus 로고    scopus 로고
    • Sexual Dimorphism and Ontologenetic Allometry of Soft Tissues in Rattus norvegicus
    • JOMOAT, 0362-2525, 10.1002/(SICI)1097-4687(199910)242:1<57::AID-JMOR4>3.0.CO;2-5
    • Stewart S.A. German R.Z. Sexual Dimorphism and Ontologenetic Allometry of Soft Tissues in Rattus norvegicus. J. Morphol. 1999, 242:57-66. JOMOAT, 0362-2525, 10.1002/(SICI)1097-4687(199910)242:1<57::AID-JMOR4>3.0.CO;2-5.
    • (1999) J. Morphol. , vol.242 , pp. 57-66
    • Stewart, S.A.1    German, R.Z.2
  • 28
    • 0030970089 scopus 로고    scopus 로고
    • Heterochronies Within Species: Craniofacial Growth in Giant, Standard, and Dwarf Rabbits
    • EVOLAO, 0014-3820, 10.2307/2410978
    • Fiorello C.V. German R.Z. Heterochronies Within Species: Craniofacial Growth in Giant, Standard, and Dwarf Rabbits. Evolution (Lawrence, Kans.) 1997, 51:250-261. EVOLAO, 0014-3820, 10.2307/2410978.
    • (1997) Evolution (Lawrence, Kans.) , vol.51 , pp. 250-261
    • Fiorello, C.V.1    German, R.Z.2
  • 29
    • 85010384444 scopus 로고
    • Cambridge University Press, Cambridge, UK.
    • Thompson D.W. On Growth and Form 1942, Cambridge University Press, Cambridge, UK.
    • (1942) On Growth and Form
    • Thompson, D.W.1
  • 32
    • 37049235151 scopus 로고
    • The Theory of Open Systems in Physics and Biology
    • SCIEAS, 0036-8075, 10.1126/science.111.2872.23
    • von Bertalanffy L. The Theory of Open Systems in Physics and Biology. Science 1950, 111:23-29. SCIEAS, 0036-8075, 10.1126/science.111.2872.23.
    • (1950) Science , vol.111 , pp. 23-29
    • von Bertalanffy, L.1
  • 33
    • 51149175090 scopus 로고
    • Constant Differential Growth-Ratios and Their Significance
    • NATUAS, 0028-0836, 10.1038/114895a0
    • Huxley J.S. Constant Differential Growth-Ratios and Their Significance. Nature (London) 1924, 114:895-896. NATUAS, 0028-0836, 10.1038/114895a0.
    • (1924) Nature (London) , vol.114 , pp. 895-896
    • Huxley, J.S.1
  • 35
    • 0010324928 scopus 로고
    • Further Work on Heterogonic Growth
    • pp.
    • Huxley J.S. Further Work on Heterogonic Growth. Biol. Zentralbl. 1927, 47:151-163. pp.
    • (1927) Biol. Zentralbl. , vol.47 , pp. 151-163
    • Huxley, J.S.1
  • 36
    • 26244447833 scopus 로고
    • Notes on Differential Growth
    • AMNTA4, 0003-0147, 10.1086/280374
    • Huxley J.S. Notes on Differential Growth. Am. Nat. 1931, 65:289-315. AMNTA4, 0003-0147, 10.1086/280374.
    • (1931) Am. Nat. , vol.65 , pp. 289-315
    • Huxley, J.S.1
  • 37
    • 0001758612 scopus 로고
    • Terminology of Relative Growth
    • NATUAS, 0028-0836, 10.1038/137780b0
    • Huxley J.S. Tessier G. Terminology of Relative Growth. Nature (London) 1936, 137:780-781. NATUAS, 0028-0836, 10.1038/137780b0.
    • (1936) Nature (London) , vol.137 , pp. 780-781
    • Huxley, J.S.1    Tessier, G.2
  • 38
    • 0010469217 scopus 로고
    • Terminology of Relative Growth-Rates
    • NATUAS, 0028-0836, 10.1038/148225a0
    • Huxley J.S. Needham J. Lerner I.M. Terminology of Relative Growth-Rates. Nature (London) 1941, 148:225. NATUAS, 0028-0836, 10.1038/148225a0.
    • (1941) Nature (London) , vol.148 , pp. 225
    • Huxley, J.S.1    Needham, J.2    Lerner, I.M.3
  • 39
    • 0006317914 scopus 로고
    • Mathematical Analysis of the Relative Growth of Organisms
    • Kavanagh A.J. Richards O.W. Mathematical Analysis of the Relative Growth of Organisms. Proc. Rochester Acad. Sci. 1942, 8:150-174. and pp.
    • (1942) Proc. Rochester Acad. Sci. , vol.8 , pp. 150-174
    • Kavanagh, A.J.1    Richards, O.W.2
  • 40
    • 76549250082 scopus 로고
    • The Biological Foundations of Measurements of Growth and Form
    • PRLBA4, 0962-8452, 10.1098/rspb.1950.0061
    • Waddington C.H. The Biological Foundations of Measurements of Growth and Form. Proc. R. Soc. London, Ser. B 1950, 137:509-515. PRLBA4, 0962-8452, 10.1098/rspb.1950.0061.
    • (1950) Proc. R. Soc. London, Ser. B , vol.137 , pp. 509-515
    • Waddington, C.H.1
  • 41
    • 0013966054 scopus 로고
    • Allometry and Size in Ontogeny and Phylogeny
    • BRCPAH, 0006-3231, 10.1111/j.1469-185X.1966.tb01624.x
    • Gould S.J. Allometry and Size in Ontogeny and Phylogeny. Biol. Rev. Cambridge Philos. Soc. 1966, 41:587-638. BRCPAH, 0006-3231, 10.1111/j.1469-185X.1966.tb01624.x.
    • (1966) Biol. Rev. Cambridge Philos. Soc. , vol.41 , pp. 587-638
    • Gould, S.J.1
  • 42
    • 84959766779 scopus 로고
    • Allometry and Relative Growth: Pattern and Process in Evolutionary Studies
    • ZZZZZZ, 0039-7989, 10.2307/2413310
    • Blackstone N.W. Allometry and Relative Growth: Pattern and Process in Evolutionary Studies. Syst. Zool. 1987, 36:76-78. ZZZZZZ, 0039-7989, 10.2307/2413310.
    • (1987) Syst. Zool. , vol.36 , pp. 76-78
    • Blackstone, N.W.1
  • 43
    • 0012626386 scopus 로고
    • The Analysis of the Relative Growth Gradients and Changing Form of Growing Gradients Illustrated by the Tobacco Leaf
    • AMNTA4, 0003-0147, 10.1086/281140
    • Richards O.W. Kavanagh A.J. The Analysis of the Relative Growth Gradients and Changing Form of Growing Gradients Illustrated by the Tobacco Leaf. Am. Nat. 1943, 77:385-399. AMNTA4, 0003-0147, 10.1086/281140.
    • (1943) Am. Nat. , vol.77 , pp. 385-399
    • Richards, O.W.1    Kavanagh, A.J.2
  • 44
    • 0002404937 scopus 로고
    • On Biological Transformations
    • W. E. Le Gros Clark, P. B. Medawar, and , eds., Clarendon, Oxford
    • Woodger J.H. On Biological Transformations. Essays in Growth and Form 1945, 92-120. W. E. Le Gros Clark, P. B. Medawar, and eds., Clarendon, Oxford.
    • (1945) Essays in Growth and Form , pp. 92-120
    • Woodger, J.H.1
  • 45
    • 84982077863 scopus 로고
    • The Growth of Amphibian Larvae Illustrated by Transformed Coordinates
    • JEZOAO, 0022-104X, 10.1002/jez.1400770108
    • Richards O.W. Riley G.A. The Growth of Amphibian Larvae Illustrated by Transformed Coordinates. J. Exp. Zool. 1937, 77:159-167. JEZOAO, 0022-104X, 10.1002/jez.1400770108.
    • (1937) J. Exp. Zool. , vol.77 , pp. 159-167
    • Richards, O.W.1    Riley, G.A.2
  • 46
    • 84982071817 scopus 로고
    • Size Relationships as Influenced by Pituitary Rudiment Implantation and Extirpation in the Urodele Embryo
    • JEZOAO, 0022-104X, 10.1002/jez.1400700107
    • Blount R.F. Size Relationships as Influenced by Pituitary Rudiment Implantation and Extirpation in the Urodele Embryo. J. Exp. Zool. 1935, 70:131-185. JEZOAO, 0022-104X, 10.1002/jez.1400700107.
    • (1935) J. Exp. Zool. , vol.70 , pp. 131-185
    • Blount, R.F.1
  • 47
    • 0346594781 scopus 로고
    • The Shape of the Human Being as a Function of Time
    • PRLBA4, 0962-8452, 10.1098/rspb.1944.0008
    • Medawar P.B. The Shape of the Human Being as a Function of Time. Proc. R. Soc. London, Ser. B 1944, 132:133-141. PRLBA4, 0962-8452, 10.1098/rspb.1944.0008.
    • (1944) Proc. R. Soc. London, Ser. B , vol.132 , pp. 133-141
    • Medawar, P.B.1
  • 48
    • 0018797602 scopus 로고
    • Kinematics of Plant Growth
    • AJBOAA, 0002-9122
    • Silk W.K. Erickson R.O. Kinematics of Plant Growth. Am. J. Bot. 1979, 65:481-501. AJBOAA, 0002-9122.
    • (1979) Am. J. Bot. , vol.65 , pp. 481-501
    • Silk, W.K.1    Erickson, R.O.2
  • 49
    • 0001700852 scopus 로고
    • The Classical Field Theories
    • S. Flugge, and , ed., Springer-Verlag, Berlin, Vol, III/1
    • Truesdell C.A. Toupin R.A. The Classical Field Theories. Handbuch der Physik 1960, III/1. S. Flugge, and ed., Springer-Verlag, Berlin, Vol.
    • (1960) Handbuch der Physik , vol.3 , Issue.1
    • Truesdell, C.A.1    Toupin, R.A.2
  • 50
    • 0010424820 scopus 로고
    • The Analysis of Growing Form
    • W. E. Le Gros Clark, P. B. Medawar, and and , eds., Clarendon, Oxford
    • Richards O.W. Kavanagh A.J. The Analysis of Growing Form. Essays in Growth and Form 1945, 188-230. W. E. Le Gros Clark, P. B. Medawar, and , and eds., Clarendon, Oxford.
    • (1945) Essays in Growth and Form , pp. 188-230
    • Richards, O.W.1    Kavanagh, A.J.2
  • 51
    • 0001473732 scopus 로고
    • Structure and Development of the Tobacco Leaf
    • AJBOAA, 0002-9122, 10.2307/2436259
    • Avery G.S. Structure and Development of the Tobacco Leaf. Am. J. Bot. 1933, 20:565-591. AJBOAA, 0002-9122, 10.2307/2436259.
    • (1933) Am. J. Bot. , vol.20 , pp. 565-591
    • Avery, G.S.1
  • 52
    • 0012626882 scopus 로고
    • Relative Elemental Rates and Anisotropy of Growth in Area: A Computer Programme
    • JEBOA6, 0022-0957, 10.1093/jxb/17.2.390
    • Erickson R.O. Relative Elemental Rates and Anisotropy of Growth in Area: A Computer Programme. J. Exp. Bot. 1966, 17:390-403. JEBOA6, 0022-0957, 10.1093/jxb/17.2.390.
    • (1966) J. Exp. Bot. , vol.17 , pp. 390-403
    • Erickson, R.O.1
  • 53
    • 0000105996 scopus 로고
    • Modeling of Plant Growth
    • ARPPA3, 0066-4294, 10.1146/annurev.pp.27.060176.002203
    • Erickson R.O. Modeling of Plant Growth. Annu. Rev. Plant Physiol. 1976, 27:407-434. ARPPA3, 0066-4294, 10.1146/annurev.pp.27.060176.002203.
    • (1976) Annu. Rev. Plant Physiol. , vol.27 , pp. 407-434
    • Erickson, R.O.1
  • 54
    • 0017341620 scopus 로고
    • The Fine Structure of Developing Elastic Cartilage
    • JOANAY, 0021-8782
    • Cox R.W. Peacock M.A. The Fine Structure of Developing Elastic Cartilage. J. Anat. 1977, 123:283-296. JOANAY, 0021-8782.
    • (1977) J. Anat. , vol.123 , pp. 283-296
    • Cox, R.W.1    Peacock, M.A.2
  • 55
    • 0018150065 scopus 로고
    • The Velocity Field of Growing Ear Cartilage
    • JOANAY, 0021-8782
    • Cox R.W. Peacock M.A. The Velocity Field of Growing Ear Cartilage. J. Anat. 1978, 126:555-566. JOANAY, 0021-8782.
    • (1978) J. Anat. , vol.126 , pp. 555-566
    • Cox, R.W.1    Peacock, M.A.2
  • 56
    • 0018349798 scopus 로고
    • The Growth of Elastic Cartilage
    • JOANAY, 0021-8782
    • Cox R.W. Peacock M.A. The Growth of Elastic Cartilage. J. Anat. 1979, 128:207-213. JOANAY, 0021-8782.
    • (1979) J. Anat. , vol.128 , pp. 207-213
    • Cox, R.W.1    Peacock, M.A.2
  • 57
    • 79951528340 scopus 로고    scopus 로고
    • Anonymous,
    • Anonymous,.
  • 58
    • 84974240004 scopus 로고
    • XXVII Morphology and Mathematics
    • TRSEAO, 0080-4568
    • Thompson D.W. XXVII Morphology and Mathematics. Trans. - R. Soc. Edinbrgh 1915, 50:857-895. TRSEAO, 0080-4568.
    • (1915) Trans. - R. Soc. Edinbrgh , vol.50 , pp. 857-895
    • Thompson, D.W.1
  • 59
    • 0342335446 scopus 로고
    • Size, Shape and Age
    • W. E. Le Gros Clark, P. B. Medawar, and , eds., Clarendon, Oxford
    • Medawar P.B. Size, Shape and Age. Essays in Growth and Form 1945, 157-187. W. E. Le Gros Clark, P. B. Medawar, and eds., Clarendon, Oxford.
    • (1945) Essays in Growth and Form , pp. 157-187
    • Medawar, P.B.1
  • 61
    • 78649632379 scopus 로고    scopus 로고
    • Continuum Kinematical Modeling of Mass Increasing Biological Growth
    • IJESAN, 0020-7225, 10.1016/j.ijengsci.2010.06.008
    • Cowin S.C. Continuum Kinematical Modeling of Mass Increasing Biological Growth. Int. J. Eng. Sci. 2010, 48:1137-1145. IJESAN, 0020-7225, 10.1016/j.ijengsci.2010.06.008.
    • (2010) Int. J. Eng. Sci. , vol.48 , pp. 1137-1145
    • Cowin, S.C.1
  • 62
    • 0028419679 scopus 로고
    • Stress-Dependent Finite Growth in Soft Elastic Tissues
    • JBMCB5, 0021-9290, 10.1016/0021-9290(94)90021-3
    • Rodriguez E.K. Hoger A. McCulloch A.D. Stress-Dependent Finite Growth in Soft Elastic Tissues. J. Biomech. 1994, 27:455-467. JBMCB5, 0021-9290, 10.1016/0021-9290(94)90021-3.
    • (1994) J. Biomech. , vol.27 , pp. 455-467
    • Rodriguez, E.K.1    Hoger, A.2    McCulloch, A.D.3
  • 64
    • 84977386434 scopus 로고
    • Comparison of Plane Forms
    • GPHAA4, 0016-7363
    • Tobler W.R. Comparison of Plane Forms. Geogr. Anal. 1978, X.2:154-172. GPHAA4, 0016-7363.
    • (1978) Geogr. Anal. , vol.X.2 , pp. 154-172
    • Tobler, W.R.1
  • 65
    • 0028570489 scopus 로고
    • Bidimensional Regression
    • GPHAA4, 0016-7363
    • Tobler W.R. Bidimensional Regression. Geogr. Anal. 1994, 26:186-212. GPHAA4, 0016-7363.
    • (1994) Geogr. Anal. , vol.26 , pp. 186-212
    • Tobler, W.R.1
  • 67
    • 0001944965 scopus 로고
    • Sulle basi della termomeccania
    • ZZZZZZ, 0392-7881
    • Truesdell C.A. Sulle basi della termomeccania. Rend. Accad. Naz. Lincei 1957, 22:33-38. ZZZZZZ, 0392-7881.
    • (1957) Rend. Accad. Naz. Lincei , vol.22 , pp. 33-38
    • Truesdell, C.A.1
  • 68
    • 0002004386 scopus 로고
    • Theory of Mixtures
    • Academic Press, New York, Vol.
    • Bowen R.M. Theory of Mixtures. Continuum Physics 1976, III:1-127. Academic Press, New York, Vol. pp.
    • (1976) Continuum Physics , vol.III , pp. 1-127
    • Bowen, R.M.1
  • 70
    • 0000007152 scopus 로고
    • Toward a Thermodynamics and Mechanics of Mixtures
    • AVRMAW, 0003-9527, 10.1007/BF00253154
    • Bowen R.M. Toward a Thermodynamics and Mechanics of Mixtures. Arch. Ration. Mech. Anal. 1967, 24:370-403. AVRMAW, 0003-9527, 10.1007/BF00253154.
    • (1967) Arch. Ration. Mech. Anal. , vol.24 , pp. 370-403
    • Bowen, R.M.1
  • 71
    • 0016953740 scopus 로고
    • Continuum Theories of Mixtures: Basic Theory and Historical Development
    • QJMMAV, 0033-5614, 10.1093/qjmam/29.2.209
    • Atkin R.J. Craine R.E. Continuum Theories of Mixtures: Basic Theory and Historical Development. Q. J. Mech. Appl. Math. 1976, 29:209-244. QJMMAV, 0033-5614, 10.1093/qjmam/29.2.209.
    • (1976) Q. J. Mech. Appl. Math. , vol.29 , pp. 209-244
    • Atkin, R.J.1    Craine, R.E.2
  • 72
    • 0000806035 scopus 로고
    • Continuum Theories of Mixtures: Applications
    • JMTAA8, 0020-2932, 10.1093/imamat/17.2.153
    • Atkin R.J. Craine R.E. Continuum Theories of Mixtures: Applications. J. Inst. Math. Appl. 1976, 17:153-207. JMTAA8, 0020-2932, 10.1093/imamat/17.2.153.
    • (1976) J. Inst. Math. Appl. , vol.17 , pp. 153-207
    • Atkin, R.J.1    Craine, R.E.2
  • 73
    • 0030121526 scopus 로고    scopus 로고
    • Highlights in the Historical Development of the Porous Media Theory: Toward a Consistent Macroscopic Theory
    • AMREAD, 0003-6900, 10.1115/1.3101926
    • de Boer R. Highlights in the Historical Development of the Porous Media Theory: Toward a Consistent Macroscopic Theory. Appl. Mech. Rev. 1996, 49:201-262. AMREAD, 0003-6900, 10.1115/1.3101926.
    • (1996) Appl. Mech. Rev. , vol.49 , pp. 201-262
    • de Boer, R.1
  • 75
    • 0019148092 scopus 로고
    • Incompressible Porous Media Models by Use of the Theory of Mixtures
    • IJESAN, 0020-7225, 10.1016/0020-7225(80)90114-7
    • Bowen R.M. Incompressible Porous Media Models by Use of the Theory of Mixtures. Int. J. Eng. Sci. 1980, 18:1129-1148. IJESAN, 0020-7225, 10.1016/0020-7225(80)90114-7.
    • (1980) Int. J. Eng. Sci. , vol.18 , pp. 1129-1148
    • Bowen, R.M.1
  • 76
    • 0020006949 scopus 로고
    • Compressible Porous Media Models by Use of the Theory of Mixtures
    • IJESAN, 0020-7225, 10.1016/0020-7225(82)90082-9
    • Bowen R.M. Compressible Porous Media Models by Use of the Theory of Mixtures. Int. J. Eng. Sci. 1982, 20:697-735. IJESAN, 0020-7225, 10.1016/0020-7225(82)90082-9.
    • (1982) Int. J. Eng. Sci. , vol.20 , pp. 697-735
    • Bowen, R.M.1
  • 77
    • 34250963757 scopus 로고
    • The Thermodynamics of Elastic Materials With Heat Conduction
    • AVRMAW, 0003-9527, 10.1007/BF01262690
    • Coleman B.D. Noll W. The Thermodynamics of Elastic Materials With Heat Conduction. Arch. Ration. Mech. Anal. 1963, 13:167-178. AVRMAW, 0003-9527, 10.1007/BF01262690.
    • (1963) Arch. Ration. Mech. Anal. , vol.13 , pp. 167-178
    • Coleman, B.D.1    Noll, W.2
  • 78
    • 0036013702 scopus 로고    scopus 로고
    • A Constrained Mixture Model for Growth and Remodeling of Soft Tissues
    • MMMSEU, 0218-2025, 10.1142/S0218202502001714
    • Humphrey J.D. Rajagopal K.R. A Constrained Mixture Model for Growth and Remodeling of Soft Tissues. Math. Models Meth. Appl. Sci. 2002, 12:407-430. MMMSEU, 0218-2025, 10.1142/S0218202502001714.
    • (2002) Math. Models Meth. Appl. Sci. , vol.12 , pp. 407-430
    • Humphrey, J.D.1    Rajagopal, K.R.2
  • 79
    • 3042739820 scopus 로고    scopus 로고
    • A Constrained Mixture Model for Arterial Adaptations to a Sustained Step Change in Blood Flow
    • BMMICD, 1617-7959, 10.1007/s10237-003-0033-4
    • Humphrey J.D. Rajagopal K.R. A Constrained Mixture Model for Arterial Adaptations to a Sustained Step Change in Blood Flow. Biomech. Model. Mechanobiol. 2003, 2:109-126. BMMICD, 1617-7959, 10.1007/s10237-003-0033-4.
    • (2003) Biomech. Model. Mechanobiol. , vol.2 , pp. 109-126
    • Humphrey, J.D.1    Rajagopal, K.R.2
  • 80
    • 34648821555 scopus 로고    scopus 로고
    • On the Theory of Reactive Mixtures for Modeling Biological Growth
    • BMMICD, 1617-7959, 10.1007/s10237-006-0070-x
    • Ateshian G.A. On the Theory of Reactive Mixtures for Modeling Biological Growth. Biomech. Model. Mechanobiol. 2007, 6:423-445. BMMICD, 1617-7959, 10.1007/s10237-006-0070-x.
    • (2007) Biomech. Model. Mechanobiol. , vol.6 , pp. 423-445
    • Ateshian, G.A.1
  • 81
    • 84979765962 scopus 로고
    • Über Diffusion
    • ANPYA2, 0003-3804
    • Fick A. Über Diffusion. Ann. Phys. 1855, 94:59-86. ANPYA2, 0003-3804.
    • (1855) Ann. Phys. , vol.94 , pp. 59-86
    • Fick, A.1
  • 82
    • 0002184579 scopus 로고
    • Über das Gleichgewicht und die Bewegung, insbesondere die Diffusion von Gasmengen, Sitzgsber
    • pp.
    • Stefan J. Über das Gleichgewicht und die Bewegung, insbesondere die Diffusion von Gasmengen, Sitzgsber. Akad. Wiss. Wein 1871, 63:63-124. pp.
    • (1871) Akad. Wiss. Wein , vol.63 , pp. 63-124
    • Stefan, J.1
  • 83
    • 79951518950 scopus 로고    scopus 로고
    • An Alternative Approach to Mixture Theory Based Poroelasticity-A Larger RVE
    • MSMSD3, 0167-6636, and submitted.
    • Cowin S.C. Cardoso L. An Alternative Approach to Mixture Theory Based Poroelasticity-A Larger RVE. Mech. Mater. 2011, MSMSD3, 0167-6636, and , submitted.
    • (2011) Mech. Mater.
    • Cowin, S.C.1    Cardoso, L.2
  • 84
    • 0345643551 scopus 로고
    • General Theory of Three-Dimensional Consolidation
    • JAPIAU, 0021-8979, 10.1063/1.1712886
    • Biot M.A. General Theory of Three-Dimensional Consolidation. J. Appl. Phys. 1941, 12:155-164. JAPIAU, 0021-8979, 10.1063/1.1712886.
    • (1941) J. Appl. Phys. , vol.12 , pp. 155-164
    • Biot, M.A.1
  • 85
    • 84918383033 scopus 로고
    • Theory of Propagation of Elastic Waves in a Fluid Saturated Porous Solid. II. Higher Frequency Range
    • JASMAN, 0001-4966, 10.1121/1.1908241
    • Biot M.A. Theory of Propagation of Elastic Waves in a Fluid Saturated Porous Solid. II. Higher Frequency Range. J. Acoust. Soc. Am. 1956, 28:179-191. JASMAN, 0001-4966, 10.1121/1.1908241.
    • (1956) J. Acoust. Soc. Am. , vol.28 , pp. 179-191
    • Biot, M.A.1
  • 86
    • 84953649471 scopus 로고
    • Generalized Theory of Acoustic Propagation in Porous Dissipative Media
    • JASMAN, 0001-4966, 10.1121/1.1918315
    • Biot M.A. Generalized Theory of Acoustic Propagation in Porous Dissipative Media. J. Acoust. Soc. Am. 1962, 34:1254-1264. JASMAN, 0001-4966, 10.1121/1.1918315.
    • (1962) J. Acoust. Soc. Am. , vol.34 , pp. 1254-1264
    • Biot, M.A.1
  • 87
    • 0022097744 scopus 로고
    • The Relationship Between the Elasticity Tensor and the Fabric Tensor
    • MSMSD3, 0167-6636, 10.1016/0167-6636(85)90012-2
    • Cowin S.C. The Relationship Between the Elasticity Tensor and the Fabric Tensor. Mech. Mater. 1985, 4:137-147. MSMSD3, 0167-6636, 10.1016/0167-6636(85)90012-2.
    • (1985) Mech. Mater. , vol.4 , pp. 137-147
    • Cowin, S.C.1
  • 88
    • 1842583390 scopus 로고    scopus 로고
    • Anisotropic Poroelasticity: Fabric Tensor Formulation
    • MSMSD3, 0167-6636, 10.1016/j.mechmat.2003.05.001
    • Cowin S.C. Anisotropic Poroelasticity: Fabric Tensor Formulation. Mech. Mater. 2004, 36:665-677. MSMSD3, 0167-6636, 10.1016/j.mechmat.2003.05.001.
    • (2004) Mech. Mater. , vol.36 , pp. 665-677
    • Cowin, S.C.1
  • 89
    • 79551544936 scopus 로고    scopus 로고
    • Fabric Dependence of Poroelastic Wave Propagation in Anisotropic Porous Media
    • BMMICD, 1617-7959, 10.1007/s10237-010-0217-7
    • Cowin S.C. Cardoso L. Fabric Dependence of Poroelastic Wave Propagation in Anisotropic Porous Media. Biomech. Model. Mechanobiol. 2011, 10:39-65. BMMICD, 1617-7959, 10.1007/s10237-010-0217-7.
    • (2011) Biomech. Model. Mechanobiol. , vol.10 , pp. 39-65
    • Cowin, S.C.1    Cardoso, L.2
  • 90
    • 79959608750 scopus 로고    scopus 로고
    • Fabric Dependence of Quasi-Waves in Anisotropic Porous Media
    • JASMAN, 0001-4966, and , in press.
    • Cardoso L. Cowin S.C. Fabric Dependence of Quasi-Waves in Anisotropic Porous Media. J. Acoust. Soc. Am. JASMAN, 0001-4966, and in press.
    • J. Acoust. Soc. Am.
    • Cardoso, L.1    Cowin, S.C.2
  • 91
    • 2942725671 scopus 로고
    • Size and Shape Variation in the Painted Turtle. A Principal Component Analysis
    • GROWAH, 0017-4793
    • Jolicoeur P. Mosimann J.E. Size and Shape Variation in the Painted Turtle. A Principal Component Analysis. Growth 1960, 24:339-354. GROWAH, 0017-4793.
    • (1960) Growth , vol.24 , pp. 339-354
    • Jolicoeur, P.1    Mosimann, J.E.2
  • 93
    • 72449191163 scopus 로고
    • Benjamin Gompertz 5 March 1779-14 July 1865
    • pp.
    • Hooker P.J. Benjamin Gompertz 5 March 1779-14 July 1865. J. Inst. Actuar. 1965, 91:203-212. pp.
    • (1965) J. Inst. Actuar. , vol.91 , pp. 203-212
    • Hooker, P.J.1
  • 95
    • 79951532425 scopus 로고
    • Biographical Memoir of Charles Sedgwick Minot 1852-1914, National Academy of Sciences
    • pp.
    • Morse E.S. Biographical Memoir of Charles Sedgwick Minot 1852-1914, National Academy of Sciences. Biogr. Mem. 1920, IX:261-285. pp.
    • (1920) Biogr. Mem. , vol.IX , pp. 261-285
    • Morse, E.S.1
  • 96
    • 85010384444 scopus 로고
    • abridged edition, Cambridge University Press, Cambridge, UK.
    • Thompson D.W. On Growth and Form 1966, abridged edition, Cambridge University Press, Cambridge, UK.
    • (1966) On Growth and Form
    • Thompson, D.W.1
  • 97
    • 84980162602 scopus 로고
    • D'Arcy W. Thompson's Mathematical Transformation and the Analysis of Growth
    • 10.1111/j.1749-6632.1955.tb32103.x
    • Richards O.W. D'Arcy W. Thompson's Mathematical Transformation and the Analysis of Growth. Ann. N.Y. Acad. Sci. U.S.A 1955, 63:456-473. 10.1111/j.1749-6632.1955.tb32103.x.
    • (1955) Ann. N.Y. Acad. Sci. U.S.A , vol.63 , pp. 456-473
    • Richards, O.W.1
  • 99
    • 0025201051 scopus 로고
    • Peter Brian Medawar: 28 February 1915-2 October 1987
    • BMFRA3, 0080-4606
    • Mitchison N.A. Peter Brian Medawar: 28 February 1915-2 October 1987. Biogr. Mem. Fellows R. Soc. 1990, 35:283-301. BMFRA3, 0080-4606.
    • (1990) Biogr. Mem. Fellows R. Soc. , vol.35 , pp. 283-301
    • Mitchison, N.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.