Patrick W. Nelson - Author Profile

Edit Profile

Nelson, Patrick W.

Author ID:	nelson.patrick-w
Published as:	Nelson, Patrick W.; Nelson, P. W.; Nelson, Patrick more...less
External Links:	MGP

Documents Indexed:	23 Publications since 1992, including 1 Book
Co-Authors:	22 Co-Authors with 19 Joint Publications
	502 Co-Co-Authors

all top 5

Co-Authors

1	single-authored
6	Perelson, Alan S.
6	Ulsoy, A. Galip
6	Yi, Sun
3	Bortz, David M.
2	Ciupe, Stanca M.
1	Bivort, B. L.
1	Ciupe, M. S.
1	Coombs, Daniel
1	Criminale, William O. jun.
1	Dat Duc Bui
1	Duan, Shiming
1	Forde, Jonathan E.
1	Gilchrist, Michael A.
1	Hyman, James M.
1	Jackson, Thomas Luther
1	Johnston, Matthew D.
1	Murray, James Dickson
1	Omenn, Gilbert S.
1	Pell, Bruce
1	Pietropaolo, Massimo
1	Radcliffe, Andrew John
1	Ribeiro, Ruy M.
1	Seth, Daniel L.
1	Smith, Noah A.
1	Zou, Weiping

all top 5

Serials

4	Mathematical Biosciences and Engineering
3	Mathematical Biosciences
2	Bulletin of Mathematical Biology
1	Discrete Mathematics
1	Inverse Problems
1	Journal of Computational Physics
1	Journal of the Franklin Institute
1	Journal of Mathematical Analysis and Applications
1	IEEE Transactions on Automatic Control
1	Studies in Applied Mathematics
1	Mathematical and Computer Modelling
1	SIAM Review
1	Journal of Vibration and Control
1	Journal of Theoretical Biology

all top 5

Fields

12	Biology and other natural sciences (92-XX)
8	Ordinary differential equations (34-XX)
6	Systems theory; control (93-XX)
4	Partial differential equations (35-XX)
2	Dynamical systems and ergodic theory (37-XX)
2	Numerical analysis (65-XX)
1	Combinatorics (05-XX)
1	Integral equations (45-XX)
1	Differential geometry (53-XX)
1	Statistics (62-XX)
1	Optics, electromagnetic theory (78-XX)
1	Quantum theory (81-XX)
1	Geophysics (86-XX)
1	Operations research, mathematical programming (90-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

22 Publications have been cited 1,517 times in 1,069 Documents	Cited by ▼	Year ▼
Mathematical analysis of HIV-1 dynamics in vivo. Zbl 1078.92502 Perelson, Alan S.; Nelson, Patrick W.	639	1999
Mathematical analysis of delay differential equation models of HIV-1 infection. Zbl 0992.92035 Nelson, Patrick W.; Perelson, Alan S.	222	2002
A model of HIV-1 pathogenesis that includes an intracellular delay. Zbl 0942.92017 Nelson, Patrick W.; Murray, James D.; Perelson, Alan S.	207	2000
An age-structured model of HIV infection that allows for variations in the production rate of viral particles and the death rate of productively infected cells. Zbl 1060.92038 Nelson, Patrick W.; Gilchrist, Michael A.; Coombs, Daniel; Hyman, James M.; Perelson, Alan S.	88	2004
Estimating kinetic parameters from HIV primary infection data through the eyes of three different mathematical models. Zbl 1086.92022 Ciupe, M. S.; Bivort, B. L.; Bortz, D. M.; Nelson, P. W.	87	2006
Modeling the mechanisms of acute hepatitis B virus infection. Zbl 1455.92022 Ciupe, Stanca M.; Ribeiro, Ruy M.; Nelson, Patrick W.; Perelson, Alan S.	76	2007
Sensitivity analysis of a nonlinear lumped parameter model of HIV infection dynamics. Zbl 1334.92225 Bortz, D. M.; Nelson, P. W.	43	2004
Eigenvalue assignment via the Lambert W function for control of time-delay systems. Zbl 1269.93036 Yi, S.; Nelson, P. W.; Ulsoy, A. G.	27	2010
Controllability and observability of systems of linear delay differential equations via the matrix Lambert \(W\) function. Zbl 1367.93084 Yi, Sun; Nelson, Patrick W.; Ulsoy, A. Galip	26	2008
Time-delay systems. Analysis and control using the Lambert W function. Zbl 1209.93002 Yi, Sun; Nelson, Patrick W.; Ulsoy, A. Galip	23	2010
Applications of Sturm sequences to bifurcation analysis of delay differential equation models. Zbl 1257.34050 Forde, Jonathan; Nelson, Patrick	21	2004
Design of observer-based feedback control for time-delay systems with application to automotive powertrain control. Zbl 1298.93173 Yi, Sun; Ulsoy, A. Galip; Nelson, Patrick W.	18	2010
Traveling-wave solutions of the diffusively corrected kinematic-wave model. Zbl 0994.90031 Nelson, P.	15	2002
Model selection and mixed-effects modeling of HIV infection dynamics. Zbl 1296.92123 Bortz, D. M.; Nelson, P. W.	15	2006
Delay differential equations via the matrix Lambert \(W\) function and bifurcation analysis: application to machine tool chatter. Zbl 1131.34056 Yi, Sun; Nelson, Patrick W.; Ulsoy, A. Galip	12	2007
Modeling viral infections. Zbl 1025.92010 Perelson, Alan S.; Nelson, Patrick W.	7	2002
Modeling dynamic changes in type 1 diabetes progression: quantifying \(\beta\)-cell variation after the appearance of islet-specific autoimmune responses. Zbl 1190.53052 Nelson, Patrick; Smith, Noah; Ciupe, Stanca; Zou, Weiping; Omenn, Gilbert S.; Pietropaolo, Massimo	2	2009
Existence and uniqueness of an inverse problem for a hyperbolic system of lidar probing. Zbl 0766.35074 Dat Duc Bui; Nelson, P.	2	1992
Semi-regular graphs of minimum independence number. Zbl 1030.05059 Nelson, P.; Radcliffe, A. J.	2	2004
A data-validated temporary immunity model of COVID-19 spread in Michigan. Zbl 1508.92290 Pell, Bruce; Johnston, Matthew D.; Nelson, Patrick	2	2022
Analysis and control of time delay systems using the LambertWDDE Toolbox. Zbl 1275.93034 Yi, Sun; Duan, Shiming; Nelson, Patrick W.; Ulsoy, A. Galip	1	2014
Limit cycle-strange attractor competition. Zbl 1141.34323 Criminale, W. O.; Jackson, T. L.; Nelson, P. W.	1	2004
A data-validated temporary immunity model of COVID-19 spread in Michigan. Zbl 1508.92290 Pell, Bruce; Johnston, Matthew D.; Nelson, Patrick	2	2022
Analysis and control of time delay systems using the LambertWDDE Toolbox. Zbl 1275.93034 Yi, Sun; Duan, Shiming; Nelson, Patrick W.; Ulsoy, A. Galip	1	2014
Eigenvalue assignment via the Lambert W function for control of time-delay systems. Zbl 1269.93036 Yi, S.; Nelson, P. W.; Ulsoy, A. G.	27	2010
Time-delay systems. Analysis and control using the Lambert W function. Zbl 1209.93002 Yi, Sun; Nelson, Patrick W.; Ulsoy, A. Galip	23	2010
Design of observer-based feedback control for time-delay systems with application to automotive powertrain control. Zbl 1298.93173 Yi, Sun; Ulsoy, A. Galip; Nelson, Patrick W.	18	2010
Modeling dynamic changes in type 1 diabetes progression: quantifying \(\beta\)-cell variation after the appearance of islet-specific autoimmune responses. Zbl 1190.53052 Nelson, Patrick; Smith, Noah; Ciupe, Stanca; Zou, Weiping; Omenn, Gilbert S.; Pietropaolo, Massimo	2	2009
Controllability and observability of systems of linear delay differential equations via the matrix Lambert \(W\) function. Zbl 1367.93084 Yi, Sun; Nelson, Patrick W.; Ulsoy, A. Galip	26	2008
Modeling the mechanisms of acute hepatitis B virus infection. Zbl 1455.92022 Ciupe, Stanca M.; Ribeiro, Ruy M.; Nelson, Patrick W.; Perelson, Alan S.	76	2007
Delay differential equations via the matrix Lambert \(W\) function and bifurcation analysis: application to machine tool chatter. Zbl 1131.34056 Yi, Sun; Nelson, Patrick W.; Ulsoy, A. Galip	12	2007
Estimating kinetic parameters from HIV primary infection data through the eyes of three different mathematical models. Zbl 1086.92022 Ciupe, M. S.; Bivort, B. L.; Bortz, D. M.; Nelson, P. W.	87	2006
Model selection and mixed-effects modeling of HIV infection dynamics. Zbl 1296.92123 Bortz, D. M.; Nelson, P. W.	15	2006
An age-structured model of HIV infection that allows for variations in the production rate of viral particles and the death rate of productively infected cells. Zbl 1060.92038 Nelson, Patrick W.; Gilchrist, Michael A.; Coombs, Daniel; Hyman, James M.; Perelson, Alan S.	88	2004
Sensitivity analysis of a nonlinear lumped parameter model of HIV infection dynamics. Zbl 1334.92225 Bortz, D. M.; Nelson, P. W.	43	2004
Applications of Sturm sequences to bifurcation analysis of delay differential equation models. Zbl 1257.34050 Forde, Jonathan; Nelson, Patrick	21	2004
Semi-regular graphs of minimum independence number. Zbl 1030.05059 Nelson, P.; Radcliffe, A. J.	2	2004
Limit cycle-strange attractor competition. Zbl 1141.34323 Criminale, W. O.; Jackson, T. L.; Nelson, P. W.	1	2004
Mathematical analysis of delay differential equation models of HIV-1 infection. Zbl 0992.92035 Nelson, Patrick W.; Perelson, Alan S.	222	2002
Traveling-wave solutions of the diffusively corrected kinematic-wave model. Zbl 0994.90031 Nelson, P.	15	2002
Modeling viral infections. Zbl 1025.92010 Perelson, Alan S.; Nelson, Patrick W.	7	2002
A model of HIV-1 pathogenesis that includes an intracellular delay. Zbl 0942.92017 Nelson, Patrick W.; Murray, James D.; Perelson, Alan S.	207	2000
Mathematical analysis of HIV-1 dynamics in vivo. Zbl 1078.92502 Perelson, Alan S.; Nelson, Patrick W.	639	1999
Existence and uniqueness of an inverse problem for a hyperbolic system of lidar probing. Zbl 0766.35074 Dat Duc Bui; Nelson, P.	2	1992

all cited Publications top 5 cited Publications

all top 5

Cited by 1,618 Authors

48	Elaiw, Ahmed M.
24	Rong, Libin
23	Wang, Jinliang
20	Jiang, Daqing
20	Wang, Xia
19	Ma, Wanbiao
18	Song, Xinyu
17	Wang, Yan
16	Xu, Rui
15	Alshamrani, Noura H.
15	Perelson, Alan S.
14	Takeuchi, Yasuhiro
13	Hattaf, Khalid
13	Shu, Hongying
12	Liu, Shengqiang
12	Wang, Kaifa
12	Wu, Hulin
12	Yousfi, Noura
11	Li, Michael Yi
10	Chen, Yuming
10	Hayat, Tasawar
10	Huang, Yangxin
10	Liu, Qun
10	Misra, Arvind Kumar
9	Allali, Karam
9	Banks, Harvey Thomas
9	Browne, Cameron J.
9	Wang, Shaoli
9	Yang, Yu
8	Adak, Debadatta
8	Bairagi, Nandadulal
8	Ciupe, Stanca M.
8	Gumel, Abba B.
8	Li, Xuezhi
8	Miao, Hui
8	Zou, Xingfu
7	Al-saedi, Ahmed Eid Salem
7	Alshaikh, Matuka A.
7	Bortz, David M.
7	Guo, Ting
7	Heffernan, Jane Marie
7	Kuniya, Toshikazu
7	Liu, Xianning
7	Martcheva, Maia
7	Nelson, Patrick W.
7	Pitchaimani, M.
7	Qiu, Zhipeng
7	Tiwari, Pankaj Kumar
7	Wang, Lin
7	Zhou, Xueyong
6	Blyuss, Konstantin B.
6	Bocharov, Gennady A.
6	Cai, Liming
6	Hobiny, Aatef D.
6	Kwon, Hee-Dae
6	Manna, Kalyan
6	Tian, Xiaohong
6	Tridane, Abdessamad
6	Vargas-De-León, Cruz
6	Verma, Maitri
6	Wang, Wendi
6	Wang, Xiaoyan
6	Wu, Jianhong
6	Xiao, Yanni
6	Xu, Jinhu
6	Yang, Junyuan
6	Zhang, Ran
6	Zhou, Yicang
5	Ali, Nigar
5	Balasubramaniam, Pagavathigounder
5	Chandra, Peeyush
5	Cheng, Chang-Yuan
5	Dong, Yueping
5	González-Parra, Gilberto C.
5	Goyal, Ashish
5	Guo, Ke
5	Harroudi, Sanaa
5	Hu, Zhixing
5	Huang, Gang
5	Iwami, Shingo
5	Joly, Marcel
5	Kajiwara, Tsuyoshi
5	Kyrychko, Yuliya N.
5	Liu, Lishan
5	Luo, Jianfeng
5	Pilyugin, Sergei S.
5	Ruan, Shigui
5	Sahani, Saroj Kumar
5	Sasaki, Toru
5	Shi, Xiangyun
5	Sipahi, Rifat
5	Torres, Delfim Fernando Marado
5	Zaman, Gul
5	Zhang, Qimin
5	Zhou, Jie
4	Ainseba, Bedr’Eddine
4	Angstmann, Christopher N.
4	Avila-Vales, Eric Jose
4	Azoz, Shaimaa A.
4	Băleanu, Dumitru I.
...and 1,518 more Authors

all top 5

Cited in 195 Serials

53	Journal of Theoretical Biology
44	Applied Mathematics and Computation
43	Mathematical Methods in the Applied Sciences
43	Bulletin of Mathematical Biology
41	Mathematical Biosciences and Engineering
36	International Journal of Biomathematics
35	Mathematical Biosciences
34	Discrete and Continuous Dynamical Systems. Series B
31	Journal of Mathematical Biology
28	Journal of Mathematical Analysis and Applications
28	Discrete Dynamics in Nature and Society
27	Mathematics and Computers in Simulation
21	Nonlinear Analysis. Real World Applications
21	Advances in Difference Equations
20	Journal of Applied Mathematics and Computing
20	Journal of Biological Dynamics
19	Chaos, Solitons and Fractals
19	Communications in Nonlinear Science and Numerical Simulation
17	Applied Mathematical Modelling
17	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
16	Journal of the Franklin Institute
16	Physica A
13	Mathematical and Computer Modelling
13	Computational and Applied Mathematics
11	Differential Equations and Dynamical Systems
11	Nonlinear Dynamics
11	Abstract and Applied Analysis
10	Automatica
10	Journal of Computational and Applied Mathematics
9	Computers & Mathematics with Applications
9	Journal of Biological Systems
9	Computational & Mathematical Methods in Medicine
8	Complexity
8	Chaos
8	International Journal of Applied and Computational Mathematics
7	Mathematical Modelling of Natural Phenomena
6	International Journal of Control
6	Journal of Nonlinear Science
6	Nonlinear Analysis. Modelling and Control
5	Optimal Control Applications & Methods
5	International Journal of Computer Mathematics
5	SIAM Journal on Applied Mathematics
5	International Journal of Robust and Nonlinear Control
5	Mathematical Problems in Engineering
5	Boundary Value Problems
5	The Annals of Applied Statistics
4	Applicable Analysis
4	Studies in Applied Mathematics
4	Journal of Dynamics and Differential Equations
4	Journal of Inverse and Ill-Posed Problems
4	Qualitative Theory of Dynamical Systems
4	Journal of Applied Mathematics
4	Journal of Applied Analysis and Computation
3	Physics Letters. A
3	Biometrical Journal
3	Biometrics
3	Statistics & Probability Letters
3	Applied Mathematics Letters
3	International Journal of Adaptive Control and Signal Processing
3	Journal of the Egyptian Mathematical Society
3	Boletín de la Sociedad Matemática Mexicana. Third Series
3	Journal of Vibration and Control
3	Journal of Applied Statistics
3	Journal of Systems Science and Complexity
3	Discrete and Continuous Dynamical Systems. Series S
3	International Journal of Differential Equations
3	ISRN Biomathematics
3	Mathematics in Applied Sciences and Engineering
2	Journal of Engineering Mathematics
2	Journal of Mathematical Physics
2	Journal of Statistical Planning and Inference
2	Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2	Ricerche di Matematica
2	SIAM Journal on Control and Optimization
2	Theoretical Population Biology
2	Stochastic Analysis and Applications
2	Acta Mathematicae Applicatae Sinica. English Series
2	Numerical Methods for Partial Differential Equations
2	MCSS. Mathematics of Control, Signals, and Systems
2	Computational Mathematics and Mathematical Physics
2	Computational Statistics and Data Analysis
2	Electronic Journal of Differential Equations (EJDE)
2	Journal of Difference Equations and Applications
2	Discrete and Continuous Dynamical Systems
2	Arab Journal of Mathematical Sciences
2	Journal of Mathematical Chemistry
2	International Journal of Applied Mathematics and Computer Science
2	International Journal of Nonlinear Sciences and Numerical Simulation
2	Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2	Communications on Pure and Applied Analysis
2	SIAM Journal on Applied Dynamical Systems
2	Statistical Methods in Medical Research
2	Applications and Applied Mathematics
2	Communications in Theoretical Physics
2	Journal of Nonlinear Science and Applications
2	Biomath
2	Cogent Mathematics
2	AIMS Mathematics
1	Acta Mechanica
1	Archive for Rational Mechanics and Analysis
...and 95 more Serials

all top 5

Cited in 36 Fields

892	Biology and other natural sciences (92-XX)
548	Ordinary differential equations (34-XX)
151	Dynamical systems and ergodic theory (37-XX)
115	Partial differential equations (35-XX)
102	Systems theory; control (93-XX)
97	Numerical analysis (65-XX)
51	Calculus of variations and optimal control; optimization (49-XX)
46	Probability theory and stochastic processes (60-XX)
45	Statistics (62-XX)
15	Operator theory (47-XX)
15	Computer science (68-XX)
14	Integral equations (45-XX)
12	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
10	Real functions (26-XX)
10	Statistical mechanics, structure of matter (82-XX)
9	Operations research, mathematical programming (90-XX)
8	Difference and functional equations (39-XX)
7	Special functions (33-XX)
5	Linear and multilinear algebra; matrix theory (15-XX)
5	Approximations and expansions (41-XX)
4	Integral transforms, operational calculus (44-XX)
4	Mechanics of particles and systems (70-XX)
2	General and overarching topics; collections (00-XX)
2	Combinatorics (05-XX)
2	Mechanics of deformable solids (74-XX)
2	Fluid mechanics (76-XX)
2	Classical thermodynamics, heat transfer (80-XX)
2	Geophysics (86-XX)
1	History and biography (01-XX)
1	Mathematical logic and foundations (03-XX)
1	Order, lattices, ordered algebraic structures (06-XX)
1	Potential theory (31-XX)
1	Differential geometry (53-XX)
1	Global analysis, analysis on manifolds (58-XX)
1	Relativity and gravitational theory (83-XX)
1	Mathematics education (97-XX)

Nelson, Patrick W.

Co-Authors

Serials

Fields

Publications by Year

Citations contained in zbMATH Open

Cited by 1,618 Authors

Cited in 195 Serials

Cited in 36 Fields

Citations by Year