-
1
-
-
44649153960
-
-
Springer-Verlag, Berlin, Heidelberg, New York
-
Banks H.T. Modeling and Control in the Biomedical Sciences. Lecture Notes in Biomath. vol. 6 (1975), Springer-Verlag, Berlin, Heidelberg, New York
-
(1975)
Lecture Notes in Biomath.
, vol.6
-
-
Banks, H.T.1
-
2
-
-
33645702122
-
Delay systems in biological models: Approximation techniques
-
Lakshmikantham V. (Ed), Academic Press
-
Banks H.T. Delay systems in biological models: Approximation techniques. In: Lakshmikantham V. (Ed). Nonlinear Systems and Applications (1977), Academic Press 21-38
-
(1977)
Nonlinear Systems and Applications
, pp. 21-38
-
-
Banks, H.T.1
-
3
-
-
21844438802
-
Modeling and computation of propagating waves from coronary stenoses
-
Banks H.T., Barnes J.H., Eberhardt A., Tran H., and Wynne S. Modeling and computation of propagating waves from coronary stenoses. Computational and Applied Mathematics 21 (2002) 767-788
-
(2002)
Computational and Applied Mathematics
, vol.21
, pp. 767-788
-
-
Banks, H.T.1
Barnes, J.H.2
Eberhardt, A.3
Tran, H.4
Wynne, S.5
-
4
-
-
0002541642
-
Modeling and estimating uncertainty in parameter estimation, CRSC-TR99-40, NCSU, December 1999
-
Banks H.T., and Bihari K. Modeling and estimating uncertainty in parameter estimation, CRSC-TR99-40, NCSU, December 1999. Inverse Problems 17 (2001) 1-17
-
(2001)
Inverse Problems
, vol.17
, pp. 1-17
-
-
Banks, H.T.1
Bihari, K.2
-
5
-
-
0037401144
-
Incorporation of variability into the modeling of viral delays in HIV infection dynamics, CRSC-TR01-25, November, 2001
-
Banks H.T., Bortz D.M., and Holte S.E. Incorporation of variability into the modeling of viral delays in HIV infection dynamics, CRSC-TR01-25, November, 2001. Mathematical Biosciences 183 (2003) 63-91
-
(2003)
Mathematical Biosciences
, vol.183
, pp. 63-91
-
-
Banks, H.T.1
Bortz, D.M.2
Holte, S.E.3
-
6
-
-
11244306938
-
Modeling and imaging techniques with potential application in bioterrorism, CRSC-TR03-02, NCSU, January 2003
-
Chapter 6 in Bioterrorism: Mathematical Modeling Applications in Homeland Security. Banks H.T., and Castillo-Chavez C. (Eds), SIAM, Philadelphia (Chapter 6)
-
Banks H.T., Bortz D., Pinter G.A., and Potter L.K. Modeling and imaging techniques with potential application in bioterrorism, CRSC-TR03-02, NCSU, January 2003. In: Banks H.T., and Castillo-Chavez C. (Eds). Chapter 6 in Bioterrorism: Mathematical Modeling Applications in Homeland Security. Frontiers in Applied Mathematics vol. 28 (2003), SIAM, Philadelphia 129-154 (Chapter 6)
-
(2003)
Frontiers in Applied Mathematics
, vol.28
, pp. 129-154
-
-
Banks, H.T.1
Bortz, D.2
Pinter, G.A.3
Potter, L.K.4
-
7
-
-
34249719973
-
Time delay systems with distribution dependent dynamics, CRSC-TR06-15, May, 2006
-
Banks H.T., Dediu S., and Nguyen H.K. Time delay systems with distribution dependent dynamics, CRSC-TR06-15, May, 2006. IFAC Annual Reviews in Control 31 (2007) 17-26
-
(2007)
IFAC Annual Reviews in Control
, vol.31
, pp. 17-26
-
-
Banks, H.T.1
Dediu, S.2
Nguyen, H.K.3
-
8
-
-
33846707852
-
Electromagnetic inverse problems involving distributions of dielectric mechanisms and parameters, CRSC-TR05-29, NCSU, August, 2005
-
Banks H.T., and Gibson N.L. Electromagnetic inverse problems involving distributions of dielectric mechanisms and parameters, CRSC-TR05-29, NCSU, August, 2005. Quarterly of Applied Mathematics 64 (2006) 749-795
-
(2006)
Quarterly of Applied Mathematics
, vol.64
, pp. 749-795
-
-
Banks, H.T.1
Gibson, N.L.2
-
9
-
-
44649140624
-
-
H.T. Banks, J.B. Hood, N.G. Medhin, A molecular based model for polymer viscoelasticity: Intra- and inter-molecular variability, CRSC-TR04-39, December, 2004, Applied Mathematical Modelling (in press)
-
H.T. Banks, J.B. Hood, N.G. Medhin, A molecular based model for polymer viscoelasticity: Intra- and inter-molecular variability, CRSC-TR04-39, December, 2004, Applied Mathematical Modelling (in press)
-
-
-
-
10
-
-
48249127140
-
-
H.T. Banks, J.B. Hood, N.G. Medhin, J.R. Samuels, A stick-slip/Rouse hybrid model for viscoelasticity in polymers, Technical Report CRSC-TR06-26, NCSU, November, 2006, Nonlinear Analysis: Real World Applications, in press (available online: doi:10.1016/j.nonrwa.2007.06.015)
-
H.T. Banks, J.B. Hood, N.G. Medhin, J.R. Samuels, A stick-slip/Rouse hybrid model for viscoelasticity in polymers, Technical Report CRSC-TR06-26, NCSU, November, 2006, Nonlinear Analysis: Real World Applications, in press (available online: doi:10.1016/j.nonrwa.2007.06.015)
-
-
-
-
11
-
-
0030386452
-
-
H.T. Banks, A.J. Kurdila, Hysteretic control influence operators representing smart material actuators: Identification and approximation, CRSC-TR96-23, August, 1996, in: Proc. 35th IEEE Conf. on Decision and Control (Kobe, Japan), December, 1996, pp. 3711-3716
-
H.T. Banks, A.J. Kurdila, Hysteretic control influence operators representing smart material actuators: Identification and approximation, CRSC-TR96-23, August, 1996, in: Proc. 35th IEEE Conf. on Decision and Control (Kobe, Japan), December, 1996, pp. 3711-3716
-
-
-
-
12
-
-
0000504387
-
Identification of hysteretic control influence operators representing smart actuators, Part I: Formulation, CRSC-TR96-14, April 1996
-
Banks H.T., Kurdila A.J., and Webb G. Identification of hysteretic control influence operators representing smart actuators, Part I: Formulation, CRSC-TR96-14, April 1996. Mathematical Problems in Engineering 3 (1997) 287-328
-
(1997)
Mathematical Problems in Engineering
, vol.3
, pp. 287-328
-
-
Banks, H.T.1
Kurdila, A.J.2
Webb, G.3
-
13
-
-
0031153647
-
Identification of hysteretic control influence operators representing smart actuators: Part II, Convergent approximations, CRSC-TR97-7, April, 1997
-
Banks H.T., Kurdila A.J., and Webb G. Identification of hysteretic control influence operators representing smart actuators: Part II, Convergent approximations, CRSC-TR97-7, April, 1997. Journal of Intelligent Material Systems and Structures 8 (1997) 536-550
-
(1997)
Journal of Intelligent Material Systems and Structures
, vol.8
, pp. 536-550
-
-
Banks, H.T.1
Kurdila, A.J.2
Webb, G.3
-
14
-
-
44649112620
-
Simulations of propagating shear waves in biotissue employing an internal variable approach to dissipation, Technical Report CRSC-TR06-28, NCSU, December, 2006
-
Banks H.T., and Luke N.S. Simulations of propagating shear waves in biotissue employing an internal variable approach to dissipation, Technical Report CRSC-TR06-28, NCSU, December, 2006. Communications in Computational Physics 3 (2008) 603-640
-
(2008)
Communications in Computational Physics
, vol.3
, pp. 603-640
-
-
Banks, H.T.1
Luke, N.S.2
-
15
-
-
34547266500
-
Viscoelasticity in polymers: Phenomenological to molecular mathematical modelling, CRSC-TR06-29, December, 2006
-
Banks H.T., Luke N.S., and Samuels Jr. J.R. Viscoelasticity in polymers: Phenomenological to molecular mathematical modelling, CRSC-TR06-29, December, 2006. Numerical Methods for Partial Differential Equations 23 (2007) 817-831
-
(2007)
Numerical Methods for Partial Differential Equations
, vol.23
, pp. 817-831
-
-
Banks, H.T.1
Luke, N.S.2
Samuels Jr., J.R.3
-
16
-
-
0001320116
-
Global asymptotic stability of certain models for protein synthesis and repression
-
Banks H.T., and Mahaffy J.M. Global asymptotic stability of certain models for protein synthesis and repression. Quarterly of Applied Mathematics 36 (1978) 209-221
-
(1978)
Quarterly of Applied Mathematics
, vol.36
, pp. 209-221
-
-
Banks, H.T.1
Mahaffy, J.M.2
-
17
-
-
0018081817
-
Stability of cyclic gene models for systems involving repression
-
Banks H.T., and Mahaffy J.M. Stability of cyclic gene models for systems involving repression. Journal of Theoretical Biology 74 (1978) 323-334
-
(1978)
Journal of Theoretical Biology
, vol.74
, pp. 323-334
-
-
Banks, H.T.1
Mahaffy, J.M.2
-
18
-
-
11244277460
-
A molecular based dynamic model for viscoelastic responses of rubber in tensile deformations, CRSC-TR00-27, NCSU, October, 2000
-
Banks H.T., and Medhin N.G. A molecular based dynamic model for viscoelastic responses of rubber in tensile deformations, CRSC-TR00-27, NCSU, October, 2000. Communications on Applied Nonlinear Analysis 8 (2001) 1-18
-
(2001)
Communications on Applied Nonlinear Analysis
, vol.8
, pp. 1-18
-
-
Banks, H.T.1
Medhin, N.G.2
-
20
-
-
44649120342
-
Multiscale considerations in modeling of nonlinear elastomers, Technical Report CRSC-TR03-42, NCSU, October, 2003
-
Banks H.T., Medhin N.G., and Pinter G.A. Multiscale considerations in modeling of nonlinear elastomers, Technical Report CRSC-TR03-42, NCSU, October, 2003. Journal of Computational Methods in Engineering Sciences and Mechanics 8 (2007) 1-10
-
(2007)
Journal of Computational Methods in Engineering Sciences and Mechanics
, vol.8
, pp. 1-10
-
-
Banks, H.T.1
Medhin, N.G.2
Pinter, G.A.3
-
21
-
-
44649124418
-
-
H.T. Banks, N.G. Medhin, G.A. Pinter, Modeling of viscoelastic shear: A nonlinear stick-slip formulation, CRSC-TR06-07, February, 2006, Dynamic Systems and Applications (in press)
-
H.T. Banks, N.G. Medhin, G.A. Pinter, Modeling of viscoelastic shear: A nonlinear stick-slip formulation, CRSC-TR06-07, February, 2006, Dynamic Systems and Applications (in press)
-
-
-
-
22
-
-
21844442678
-
Damping: Hysteretic damping and models, CRSC-TR99-36, NCSU, December, 1999
-
Braun S.G., Ewins D., and Rao S. (Eds), Academic Press, London
-
Banks H.T., and Pinter G.A. Damping: Hysteretic damping and models, CRSC-TR99-36, NCSU, December, 1999. In: Braun S.G., Ewins D., and Rao S. (Eds). Encyclopedia of Vibration (2001), Academic Press, London 658-664
-
(2001)
Encyclopedia of Vibration
, pp. 658-664
-
-
Banks, H.T.1
Pinter, G.A.2
-
23
-
-
21844464834
-
A probabilistic multiscale approach to hysteresis in shear wave propagation in biotissue
-
Banks H.T., and Pinter G.A. A probabilistic multiscale approach to hysteresis in shear wave propagation in biotissue. Multiscale Modeling and Simulation 3 (2005) 395-412
-
(2005)
Multiscale Modeling and Simulation
, vol.3
, pp. 395-412
-
-
Banks, H.T.1
Pinter, G.A.2
-
24
-
-
84894369319
-
Modeling of quasi-static and dynamic load responses of filled viscoelastic materials, Technical Report CRSC-TR98-48, NCSU, December, 1998
-
Cumberbatch E., and Fitt A. (Eds), Cambridge University Press (Chapter 11)
-
Banks H.T., Pinter G.A., Potter L.K., Gaitens M.J., and Yanyo L.C. Modeling of quasi-static and dynamic load responses of filled viscoelastic materials, Technical Report CRSC-TR98-48, NCSU, December, 1998. In: Cumberbatch E., and Fitt A. (Eds). Chapter 11 in Mathematical Modeling: Case Studies from Industry (2001), Cambridge University Press 229-252 (Chapter 11)
-
(2001)
Chapter 11 in Mathematical Modeling: Case Studies from Industry
, pp. 229-252
-
-
Banks, H.T.1
Pinter, G.A.2
Potter, L.K.3
Gaitens, M.J.4
Yanyo, L.C.5
-
25
-
-
84859911406
-
Estimation and control related issues in smart material structures and fluids, Technical Report CRSC-TR98-02, NCSU, January, 1998
-
Caccetta L., et al. (Ed), Curtain Univ. Press
-
Banks H.T., Pinter G.A., Potter L.K., Muñoz B.C., and Yanyo L.C. Estimation and control related issues in smart material structures and fluids, Technical Report CRSC-TR98-02, NCSU, January, 1998. In: Caccetta L., et al. (Ed). Optimization Techniques and Applications (1998), Curtain Univ. Press 19-34
-
(1998)
Optimization Techniques and Applications
, pp. 19-34
-
-
Banks, H.T.1
Pinter, G.A.2
Potter, L.K.3
Muñoz, B.C.4
Yanyo, L.C.5
-
28
-
-
19044372127
-
-
Busenberg S.N., and Cooke K.L. (Eds), Academic Press, New York
-
In: Busenberg S.N., and Cooke K.L. (Eds). Differential Equations and Applications in Ecology, Epidemics, and Population Problems (1981), Academic Press, New York
-
(1981)
Differential Equations and Applications in Ecology, Epidemics, and Population Problems
-
-
-
29
-
-
44649149739
-
-
Capasso V., Grosso E., and Paveri-Fontana S.L. (Eds), Springer-Verlag, Berlin, Heidelberg, New York
-
In: Capasso V., Grosso E., and Paveri-Fontana S.L. (Eds). Mathematics in Biology and Medicine. Lecture Notes in Biomath. vol. 57 (1985), Springer-Verlag, Berlin, Heidelberg, New York
-
(1985)
Lecture Notes in Biomath.
, vol.57
-
-
-
30
-
-
0001453657
-
Time lag in population growth response of Isochrysis Galbana to a variable nitrate environment
-
Caperon J. Time lag in population growth response of Isochrysis Galbana to a variable nitrate environment. Ecology 50 (1969) 188-192
-
(1969)
Ecology
, vol.50
, pp. 188-192
-
-
Caperon, J.1
-
31
-
-
4644238532
-
Functional differential equations: Some models and perturbation problems
-
Hale J.K., and LaSalle J.P. (Eds), Academic Press, New York
-
Cooke K.L. Functional differential equations: Some models and perturbation problems. In: Hale J.K., and LaSalle J.P. (Eds). Differential Equations and Dynamical Systems (1967), Academic Press, New York 167-183
-
(1967)
Differential Equations and Dynamical Systems
, pp. 167-183
-
-
Cooke, K.L.1
-
32
-
-
85025753099
-
-
Springer-Verlag, Berlin and New York
-
Cushing J.M. Integrodifferential Equations and Delay Models in Population Dynamics. Lec. Notes in Biomath. vol. 20 (1977), Springer-Verlag, Berlin and New York
-
(1977)
Lec. Notes in Biomath.
, vol.20
-
-
Cushing, J.M.1
-
34
-
-
44649189327
-
-
M. Doi, M. Edwards, The Theory of Polymer Dynamics, Oxford, New York, 1986
-
M. Doi, M. Edwards, The Theory of Polymer Dynamics, Oxford, New York, 1986
-
-
-
-
42
-
-
44649171140
-
-
Hoppensteadt F.C. (Ed), American Mathematical Society, Providence
-
In: Hoppensteadt F.C. (Ed). Mathematical Aspects of Physiology. Lectures in Applied Math Vol. 19 (1981), American Mathematical Society, Providence
-
(1981)
Lectures in Applied Math
, vol.19
-
-
-
43
-
-
0027665908
-
Rubber viscoelasticity using the physically constrained system's stretches as internal variables
-
Johnson A.R., and Stacer R.G. Rubber viscoelasticity using the physically constrained system's stretches as internal variables. Rubber Chemistry and Technology 66 (1993) 567-577
-
(1993)
Rubber Chemistry and Technology
, vol.66
, pp. 567-577
-
-
Johnson, A.R.1
Stacer, R.G.2
-
44
-
-
0000171723
-
Large strain viscoelastic constitutive models for rubber, part I: Formulations
-
Johnson A.R., Quigley C.J., and Mead J.L. Large strain viscoelastic constitutive models for rubber, part I: Formulations. Rubber Chemistry Technology 67 (1994) 904-917
-
(1994)
Rubber Chemistry Technology
, vol.67
, pp. 904-917
-
-
Johnson, A.R.1
Quigley, C.J.2
Mead, J.L.3
-
45
-
-
44649194639
-
-
M.A. Krasnosel'skii, A.V. Pokrovskii, Systems with Hysteresis, Nauka, Moscow, 1983; translated, Springer-Verlag, Berlin, 1989
-
M.A. Krasnosel'skii, A.V. Pokrovskii, Systems with Hysteresis, Nauka, Moscow, 1983; translated, Springer-Verlag, Berlin, 1989
-
-
-
-
47
-
-
0003765556
-
-
Kluwer Academic Publ, Dordrecht, The Netherlands
-
Lakshmikantham V., Wen L., and Zhang B.G. Theory of Differential Equations with Unbounded Delay (1994), Kluwer Academic Publ, Dordrecht, The Netherlands
-
(1994)
Theory of Differential Equations with Unbounded Delay
-
-
Lakshmikantham, V.1
Wen, L.2
Zhang, B.G.3
-
48
-
-
0028739833
-
Modeling frequency-dependent longitudinal dynamic behavior of linear viscoelastic long fiber components
-
Lesieutre G.A. Modeling frequency-dependent longitudinal dynamic behavior of linear viscoelastic long fiber components. Journal of Composite Materials 28 (1994) 1770-1782
-
(1994)
Journal of Composite Materials
, vol.28
, pp. 1770-1782
-
-
Lesieutre, G.A.1
-
49
-
-
0029754564
-
Finite element modeling of frequency-dependent and temperature-dependent dynamic behavior of viscoelastic materials in simple shear
-
Lesieutre G.A., and Govindswamy K. Finite element modeling of frequency-dependent and temperature-dependent dynamic behavior of viscoelastic materials in simple shear. International Journal of Solids and Structures 33 (1996) 419-432
-
(1996)
International Journal of Solids and Structures
, vol.33
, pp. 419-432
-
-
Lesieutre, G.A.1
Govindswamy, K.2
-
50
-
-
44649181685
-
-
N.S. Luke, Modeling shear wave propagation in biotissue: an internal variable approach to dissipation, Ph. D. Dissertation, NC State University, August, 2006
-
N.S. Luke, Modeling shear wave propagation in biotissue: an internal variable approach to dissipation, Ph. D. Dissertation, NC State University, August, 2006
-
-
-
-
51
-
-
0017391683
-
Time lag in a model of a biochemical reaction sequence with end-product inhibition
-
MacDonald N. Time lag in a model of a biochemical reaction sequence with end-product inhibition. Journal of Theoretical Biology 67 (1977) 727-734
-
(1977)
Journal of Theoretical Biology
, vol.67
, pp. 727-734
-
-
MacDonald, N.1
-
53
-
-
22244452623
-
-
Martelli M., Cooke K.L., Cumberbatch E., Tang B., and Thieme H. (Eds), World Scientific, Singapore
-
In: Martelli M., Cooke K.L., Cumberbatch E., Tang B., and Thieme H. (Eds). Differential Equations and Applications to Biology and to Industry (1996), World Scientific, Singapore
-
(1996)
Differential Equations and Applications to Biology and to Industry
-
-
-
55
-
-
0003460375
-
-
Metz J.A.J., and Diekmann O. (Eds), Springer-Verlag, Berlin, Heidelberg, New York
-
In: Metz J.A.J., and Diekmann O. (Eds). The Dynamics of Physiologically Structured Populations. Lecture Notes in Biomath. vol. 68 (1986), Springer-Verlag, Berlin, Heidelberg, New York
-
(1986)
Lecture Notes in Biomath.
, vol.68
-
-
-
56
-
-
0002115301
-
Self-excited oscillations in dynamical systems possessing retarded actions
-
Minorsky N. Self-excited oscillations in dynamical systems possessing retarded actions. Journal of Applied Mechanics 9 (1942) A65-A71
-
(1942)
Journal of Applied Mechanics
, vol.9
-
-
Minorsky, N.1
-
58
-
-
44649183532
-
-
N. Minorsky, Nonlinear Oscillations, Van Nostrand, New York, 1962
-
N. Minorsky, Nonlinear Oscillations, Van Nostrand, New York, 1962
-
-
-
-
61
-
-
0000298336
-
Large elastic deformations of isotropic materials, I, II, III
-
Rivlin R.S. Large elastic deformations of isotropic materials, I, II, III. Philosophical Transactions of the Royal Society A 240 (1948) 459-525
-
(1948)
Philosophical Transactions of the Royal Society A
, vol.240
, pp. 459-525
-
-
Rivlin, R.S.1
-
63
-
-
0343535240
-
Higher approximation methods for the relaxation spectrum from static and dynamic measurements of viscoelastic materials
-
Schwarzl F., and Staverman A.J. Higher approximation methods for the relaxation spectrum from static and dynamic measurements of viscoelastic materials. Applied Scientific Research A4 (1953) 127-141
-
(1953)
Applied Scientific Research
, vol.A4
, pp. 127-141
-
-
Schwarzl, F.1
Staverman, A.J.2
-
66
-
-
11244313438
-
A phenomenological theory of viscoelastic behavior
-
Ter Haar D. A phenomenological theory of viscoelastic behavior. Physica 16 (1950) 839-850
-
(1950)
Physica
, vol.16
, pp. 839-850
-
-
Ter Haar, D.1
-
70
-
-
0000945298
-
Second approximation calculations of mechanical and electrical relaxation and retardation distributions
-
Williams M.L., and Ferry J.D. Second approximation calculations of mechanical and electrical relaxation and retardation distributions. Journal of Polymer Science 11 (1953) 169-175
-
(1953)
Journal of Polymer Science
, vol.11
, pp. 169-175
-
-
Williams, M.L.1
Ferry, J.D.2
|