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## Kimmel, Marek

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 Author ID: kimmel.marek Published as: Kimmel, M.; Kimmel, Marek; Kimmer, Marek
 Documents Indexed: 104 Publications since 1980, including 8 Books
all top 5

#### Co-Authors

 17 single-authored 18 Arino, Ovide 11 Świerniak, Andrzej P. 10 Bobrowski, Adam 10 Polański, Andrzej 7 Axelrod, David E. 7 Marciniak-Czochra, Anna K. 6 Chakraborty, Ranajit 4 Lipniacki, Tomasz 4 Paszek, Pawel 4 Stivers, David N. 3 Brasier, Allan R. 3 Wojdyła, Tomasz 2 Bertolusso, Roberto 2 Cyran, Krzysztof A. 2 Flehinger, Betty J. 2 Fujarewicz, Krzysztof 2 McDonald, Thomas O. 2 Rzeszowska-Wolny, Joanna 2 Smieja, Jaroslav 2 Smieja, Jaroslaw 2 Wu, Xiaowei 1 Agur, S. 1 Amos, Christopher I. 1 Axelrod, David A. 1 Baggerly, Keith A. 1 Bat, O. 1 Bonnen, Penelope E. 1 Bryant, Drew H. 1 Chen, Brian Y. 1 Cushing, Jim M. 1 Deka, R. 1 Diekmann, Odo 1 Dinh, Khanh N. 1 Dobrowski, Adam 1 Dodson, Bradley D. 1 Ernst, Philip A. 1 Fofanov, Viacheslav Y. 1 Gaweł, Bolesław 1 Getto, Philipp 1 Gorlova, Olga Y. 1 Gyllenberg, Mats 1 Hat, Beata 1 Heesterbeek, Hans 1 Huggins, Richard M. 1 Iannelli, Mimmo 1 Jagers, Peter 1 Jaksik, Roman 1 Kavraki, Lydia E. 1 Kimmel, Barbara 1 Kostova, Tanya V. 1 Kristensen, David M. 1 Kubalińska, Małgorzata 1 Kurpas, Monika 1 Lambert, Amaury 1 Lichtarge, Olivier 1 Lisewski, Andreas Martin 1 Luxon, Bruce A. 1 Milner, Fabio Augusto 1 Müller, Peter 1 Nelson, David L. 1 Nowak, David E. 1 Olofsson, Peter 1 Piechór, Kazimierz 1 Polanska, Joanna 1 Psiuk-Maksymowicz, Krzysztof 1 Puszyński, Krzysztof 1 Renwick, Alexander 1 Sánchez, Eva 1 Simek, Krzysztof 1 Skierski, Janusz 1 Staudte, Robert G. jun. 1 Swartz, Michael D. 1 Tavaré, Simon 1 Tian, Bing 1 Traganos, Frank 1 Trikka, Dimitra 1 Wang, Ning 1 Zerner, Martin 1 Zhang, Jiami 1 Zhou, Quan
all top 5

#### Serials

 15 Mathematical Biosciences 6 Theoretical Population Biology 5 Journal of Theoretical Biology 4 Archives of Control Sciences 3 Journal of Mathematical Biology 3 Biometrics 3 Journal of Applied Probability 3 International Journal of Applied Mathematics and Computer Science 2 Advances in Applied Probability 2 Mathematical Methods in the Applied Sciences 2 Bulletin of Mathematical Biology 2 Control and Cybernetics 2 Mathematical and Computer Modelling 2 Applied Mathematics and Computer Science 2 SIAM Journal on Applied Mathematics 2 Systems Science 2 Journal of Biological Systems 2 Mathematical Biosciences and Engineering 2 Interdisciplinary Applied Mathematics 2 Mathematical Modelling of Natural Phenomena 1 Computers & Mathematics with Applications 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Zastosowania Matematyki 1 Statistics & Probability Letters 1 Mathematical Modelling 1 Statistical Science 1 Differential and Integral Equations 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Proceedings of the National Academy of Sciences of the United States of America 1 Annales Societatis Mathematicae Polonae. Seria III. Matematyka Stosowana 1 Journal of Mathematical Systems, Estimation, and Control 1 Nonlinear World 1 Mathematical Population Studies 1 Fundamenta Informaticae 1 Lecture Notes in Pure and Applied Mathematics 1 Computational & Mathematical Methods in Medicine 1 International Journal of Stochastic Analysis 1 SpringerBriefs in Applied Sciences and Technology
all top 5

#### Fields

 95 Biology and other natural sciences (92-XX) 37 Probability theory and stochastic processes (60-XX) 15 Statistics (62-XX) 13 Ordinary differential equations (34-XX) 12 Operator theory (47-XX) 11 Systems theory; control (93-XX) 8 Partial differential equations (35-XX) 7 Integral equations (45-XX) 4 General and overarching topics; collections (00-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Numerical analysis (65-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Difference and functional equations (39-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH

69 Publications have been cited 448 times in 330 Documents Cited by Year
Branching processes in biology. Zbl 0994.92001
Kimmel, Marek; Axelrod, David E.
2002
Stability analysis of models of cell production systems. Zbl 0609.92018
Arino, Ovide; Kimmel, Marek
1986
Modelling of early lung cancer progression: influence of growth factor production and cooperation between partially transformed cells. Zbl 1135.92019
Marciniak-Czochra, Anna; Kimmel, Marek
2007
Asymptotic analysis of a cell cycle model based on unequal division. Zbl 0632.92015
Arino, Ovide; Kimmel, Marek
1987
A note on distributions of times to coalescence, under time-dependent population size. Zbl 1101.92308
Polanski, A.; Bobrowski, A.; Kimmel, M.
2003
Branching processes in biology. 2nd extended ed. Zbl 1312.92004
Kimmel, Marek; Axelrod, David A.
2015
Bioinformatics. Zbl 1153.92001
Polanski, Andrzej; Kimmel, Marek
2007
Infinite-dimensional model of evolution of drug resistance of cancer cells. Zbl 0897.92015
Kimmel, Marek; Swierniak, Andrzej; Polanski, Andrzej
1998
Dynamics of growth and signaling along linear and surface structures in very early tumors. Zbl 1111.92031
Marciniak-Czochra, Anna; Kimmel, Marek
2006
Reaction-difusion model of early carcinogenesis: the effects of influx of mutated cells. Zbl 1337.92047
Marciniak-Czochra, Anna; Kimmel, Marek
2008
Measures of variation at DNA repeat loci under a general stepwise mutation model. Zbl 0867.92014
Kimmel, Marek; Chakraborty, Ranajit
1996
Comparison of approaches to modeling of cell population dynamics. Zbl 0796.92019
Arino, Ovide; Kimmel, Marek
1993
Nonparametric estimation of the size - metastasis relationship in solid cancers. Zbl 0734.62105
Kimmel, Marek; Flehinger, Betty J.
1991
Asymptotic behavior of a nonlinear functional-integral equation of cell kinetics with unequal division. Zbl 0715.92011
Arino, O.; Kimmel, M.
1989
Time-continuous branching walk models of unstable gene amplification. Zbl 0804.92011
Kimmel, Marek; Stivers, David N.
1994
Stochastic models of telomere shortening. Zbl 0943.92015
Olofsson, Peter; Kimmel, Marek
1999
Quasistationarity in a branching model of division-within-division. Zbl 0867.60063
Kimmel, Marek
1997
Cellular population dynamics. I. Model construction and reformulation. Zbl 0425.92003
Kimmel, Marek
1980
Mathematical model of tumor invasion along linear or tubular structures. Zbl 1080.92046
Marciniak-Czochra, A.; Kimmel, M.
2005
Asymptotic behavior of joint distributions of characteristics of a pair of randomly chosen individuals in discrete-time Fisher-Wright models with mutations and drift. Zbl 1075.92042
2004
A semigroup representation and asymptotic behavior of certain statistics of the Fisher-Wright-Moran coalescent. Zbl 1004.92026
Bobrowski, Adam; Kimmel, Marek; Arino, Ovide; Chakraborty, Ranajit
2001
Cellular population dynamics. II. Investigation of solutions. Zbl 0425.92004
Kimmel, Marek
1980
On fitting of mathematical models of cell signaling pathways using adjoint systems. Zbl 1079.92024
Fujarewicz, Krzysztof; Kimmel, Marek; Swierniak, Andrzej
2005
A random evolution related to a Fisher-Wright-Moran model with mutation, recombination and drift. Zbl 1032.92025
2003
Estimation and prediction of cell cycle specific effects of anticancer drugs. Zbl 0607.92005
Kimmel, Marek; Traganos, Frank
1986
Alternatives to the Wright-Fisher model: the robustness of mitochondrial Eve dating. Zbl 1403.92136
Cyran, Krzysztof A.; Kimmel, Marek
2010
Using control theory to make cancer chemotherapy beneficial from phase dependence and resistant to drug resistance. Zbl 1151.93310
Kimmel, Marek; Świerniak, Andrzej
2004
Non-homogeneous infinite sites model under demographic change: Mathematical description and asymptotic behavior of pairwise distributions. Zbl 0987.92024
Bobrowski, Adam; Wang, Ning; Chakraborty, Ranajit; Kimmel, Marek
2002
A model of dynamics of mutation, genetic drift and recombination in DNA-repeat genetic loci. Zbl 1153.92330
Polanska, Joanna; Kimmel, Marek
1999
Cell cycle kinetics with supramitotic control, two cell types, and unequal division: A model of transformed embryonic cells. Zbl 0731.92003
Kimmel, Marek; Arino, Ovide
1991
Asymptotic behaviour of nonlinear semigroup describing a model of selective cell growth regulation. Zbl 0728.92010
Arino, O.; Kimmel, M.
1991
Analysis of a cell population model with unequal division and random transition. Zbl 0779.92012
Arino, Ovide; Kimmel, Marek; Zerner, Martin
1991
An equivalence result for integral equations with application to branching processes. Zbl 0472.60069
Kimmel, Marek
1982
Modeling spatial effects in early carcinogenesis: stochastic versus deterministic reaction-diffusion systems. Zbl 1320.92033
Bertolusso, R.; Kimmel, M.
2012
Asymptotic behavior of a Moran model with mutations, drift and recombination among multiple loci. Zbl 1205.92051
Bobrowski, Adam; Wojdyła, Tomasz; Kimmel, Marek
2010
How the number of alleles influences gene expression. Zbl 1115.92028
Hat, Beata; Paszek, Pawel; Kimmel, Marek; Piechor, Kazimierz; Lipniacki, Tomasz
2007
Qualitative analysis of controlled drug resistance model. Inverse Laplace and semigroup approach. Zbl 0949.93070
Świerniak, Andrzej; Polański, Andrzej; Kimmel, Marek; Bobrowski, Adam; Śmieja, Jarosław
1999
Application of a time-dependent coalescence process for inferring the history of population size changes from DNA sequence data. Zbl 0906.92023
Polanski, Andrzej; Kimmel, Marek; Chakraborty, Ranajit
1998
Estimating clonal heterogeneity and interexperiment variability with the bifurcating autoregressive model for cell lineage data. Zbl 1090.62573
Staudte, R. G.; Huggins, R. M.; Zhang, J.; Axelrod, D. E.; Kimmel, M.
1997
The natural history of lung cancer in a periodically screened population. Zbl 0616.62137
Flehinger, Betty J.; Kimmel, Marek
1987
System engineering approach to planning anticancer therapies. Zbl 1346.92008
Świerniak, Andrzej; Kimmel, Marek; Smieja, Jaroslav; Puszynski, Krzysztof; Psiuk-Maksymowicz, Krzysztof
2016
A multitype infinite-allele branching process with applications to cancer evolution. Zbl 1326.60124
McDonald, Thomas O.; Kimmel, Marek
2015
Modelling and analysis of dynamics of viral infection of cells and of interferon resistance. Zbl 1137.92019
Getto, Ph.; Kimmel, M.; Marciniak-Czochra, A.
2008
Modelling growth of drug resistant cancer populations as a system with positive feedback. Zbl 1046.92030
Swierniak, A.; Polanski, A.; Smieja, J.; Kimmel, M.
2003
A continuous-time, multi-type generational inheritance branching process model of cell proliferation with clonal memory. Zbl 0898.60085
Stivers, David N.; Kimmel, Marek
1996
The iterated Galton-Watson process. Zbl 0870.60082
Gawel, Boleslaw; Kimmel, Marek
1996
On the clonal inheritance model of cell proliferation. Zbl 0842.92018
Stivers, David N.; Kimmel, Marek
1996
Nonparametric analysis of stathmokinesis. Zbl 0605.92003
Kimmel, Marek
1985
Asymptotic analysis of a functional-integral equation related to cell population kinetics. Zbl 0579.92010
Arino, Ovide; Kimmel, Marek
1985
Time-discrete model of cellular population dynamics. Zbl 0499.92019
Kimmel, Marek
1980
An operator semigroup in mathematical genetics. Zbl 1335.92002
2015
Modeling neutral evolution using an infinite-allele Markov branching process. Zbl 1372.92072
Wu, Xiaowei; Kimmel, Marek
2013
Spatial and stochastic effects in a model of viral infection. Zbl 1306.92057
Bertolusso, Roberto; Kimmel, Marek
2012
A note on the path to extinction of critical Markov branching processes. Zbl 1186.60089
Wu, Xiaowei; Kimmel, Marek
2010
Transcriptional stochasticity in gene expression. Zbl 1445.92113
Lipniacki, Tomasz; Paszek, Pawel; Marciniak-Czochra, Anna; Brasier, Allan R.; Kimmel, Marek
2006
Geometric sieving: automated distributed optimization of 3d motifs for protein function prediction. Zbl 1302.92096
Chen, Brian Y.; Fofanov, Viacheslav Y.; Bryant, Drew H.; Dodson, Bradley D.; Kristensen, David M.; Lisewski, Andreas M.; Kimmel, Marek; Lichtarge, Olivier; Kavraki, Lydia E.
2006
Stochastic search gene suggestion: a Bayesian hierarchical model for gene mapping. Zbl 1097.62138
Swartz, Michael D.; Kimmel, Marek; Mueller, Peter; Amos, Christopher I.
2006
Interactions of Neanderthals and modern humans: what can be inferred from mitochondrial DNA? Zbl 1079.92051
Cyran, Krzysztof A.; Kimmel, Marek
2005
Asymptotic analysis of three random branching walk models arising in molecular biology. Zbl 1176.93011
Swierniak, Andrzej; Polanski, Andrzej; Śmieja, Jarosław; Kimmel, Marek; Rzeszowska-Wolny, Joanna
2003
Why mathematics is needed to understand complex genetics diseases. Zbl 1099.92034
Kimmel, Marek
2002
Dynamics of the life history of a DNA-repeat sequence. Zbl 1183.92032
1999
Epidemiology, cellular automata, and evolution. Part 1: Selected papers of the proceedings of the conference on deterministic and stochastic modelling of biological interaction (DESTOBIO ’97). Sofia, Bulgaria, August 28–31, 1997. Zbl 0932.00079
Agur, S. (ed.); Cushing, J. (ed.); Diekmann, O. (ed.); Gyllenberg, M. (ed.); Heesterbeek, H. (ed.); Jagers, P. (ed.); Kimmel, M. (ed.); Kostova, T. V. (ed.); Milner, F. (ed.)
1999
Dynamic balance of segregation distortion and selection maintains normal allele sizes at the myotonic dystrophy locus. Zbl 0898.92021
Polański, A.; Chakraborty, R.; Kimmel, M.; Deka, R.
1998
A discrete-time, multi-type generational inheritance branching process model of cell proliferation. Zbl 0859.92004
Stivers, David N.; Kimmel, Marek; Axelrod, David E.
1996
Noncompact semigroups of operators generated by cell kinetics models. Zbl 0731.47043
Sanchez, Eva; Arino, Ovide; Kimmel, Marek
1991
Mathematical population dynamics. Proceedings of the second international conference, held May 17-20, 1989, at Rutgers University, New Brunswick, NJ, USA. Zbl 0742.00058
Arino, Ovide (ed.); Axelrod, David E. (ed.); Kimmel, Marek (ed.)
1991
On some nonlinear effects in a model of population dynamics. Zbl 0716.92018
Arino, Ovide; Kimmel, Marek
1989
The point-process approach to age- and time-dependent branching processes. Zbl 0521.92016
Kimmel, Marek
1983
Integro-differential equations in cellular populations dynamics. Zbl 0501.45010
Kimmel, M.
1980
System engineering approach to planning anticancer therapies. Zbl 1346.92008
Świerniak, Andrzej; Kimmel, Marek; Smieja, Jaroslav; Puszynski, Krzysztof; Psiuk-Maksymowicz, Krzysztof
2016
Branching processes in biology. 2nd extended ed. Zbl 1312.92004
Kimmel, Marek; Axelrod, David A.
2015
A multitype infinite-allele branching process with applications to cancer evolution. Zbl 1326.60124
McDonald, Thomas O.; Kimmel, Marek
2015
An operator semigroup in mathematical genetics. Zbl 1335.92002
2015
Modeling neutral evolution using an infinite-allele Markov branching process. Zbl 1372.92072
Wu, Xiaowei; Kimmel, Marek
2013
Modeling spatial effects in early carcinogenesis: stochastic versus deterministic reaction-diffusion systems. Zbl 1320.92033
Bertolusso, R.; Kimmel, M.
2012
Spatial and stochastic effects in a model of viral infection. Zbl 1306.92057
Bertolusso, Roberto; Kimmel, Marek
2012
Alternatives to the Wright-Fisher model: the robustness of mitochondrial Eve dating. Zbl 1403.92136
Cyran, Krzysztof A.; Kimmel, Marek
2010
Asymptotic behavior of a Moran model with mutations, drift and recombination among multiple loci. Zbl 1205.92051
Bobrowski, Adam; Wojdyła, Tomasz; Kimmel, Marek
2010
A note on the path to extinction of critical Markov branching processes. Zbl 1186.60089
Wu, Xiaowei; Kimmel, Marek
2010
Reaction-difusion model of early carcinogenesis: the effects of influx of mutated cells. Zbl 1337.92047
Marciniak-Czochra, Anna; Kimmel, Marek
2008
Modelling and analysis of dynamics of viral infection of cells and of interferon resistance. Zbl 1137.92019
Getto, Ph.; Kimmel, M.; Marciniak-Czochra, A.
2008
Modelling of early lung cancer progression: influence of growth factor production and cooperation between partially transformed cells. Zbl 1135.92019
Marciniak-Czochra, Anna; Kimmel, Marek
2007
Bioinformatics. Zbl 1153.92001
Polanski, Andrzej; Kimmel, Marek
2007
How the number of alleles influences gene expression. Zbl 1115.92028
Hat, Beata; Paszek, Pawel; Kimmel, Marek; Piechor, Kazimierz; Lipniacki, Tomasz
2007
Dynamics of growth and signaling along linear and surface structures in very early tumors. Zbl 1111.92031
Marciniak-Czochra, Anna; Kimmel, Marek
2006
Transcriptional stochasticity in gene expression. Zbl 1445.92113
Lipniacki, Tomasz; Paszek, Pawel; Marciniak-Czochra, Anna; Brasier, Allan R.; Kimmel, Marek
2006
Geometric sieving: automated distributed optimization of 3d motifs for protein function prediction. Zbl 1302.92096
Chen, Brian Y.; Fofanov, Viacheslav Y.; Bryant, Drew H.; Dodson, Bradley D.; Kristensen, David M.; Lisewski, Andreas M.; Kimmel, Marek; Lichtarge, Olivier; Kavraki, Lydia E.
2006
Stochastic search gene suggestion: a Bayesian hierarchical model for gene mapping. Zbl 1097.62138
Swartz, Michael D.; Kimmel, Marek; Mueller, Peter; Amos, Christopher I.
2006
Mathematical model of tumor invasion along linear or tubular structures. Zbl 1080.92046
Marciniak-Czochra, A.; Kimmel, M.
2005
On fitting of mathematical models of cell signaling pathways using adjoint systems. Zbl 1079.92024
Fujarewicz, Krzysztof; Kimmel, Marek; Swierniak, Andrzej
2005
Interactions of Neanderthals and modern humans: what can be inferred from mitochondrial DNA? Zbl 1079.92051
Cyran, Krzysztof A.; Kimmel, Marek
2005
Asymptotic behavior of joint distributions of characteristics of a pair of randomly chosen individuals in discrete-time Fisher-Wright models with mutations and drift. Zbl 1075.92042
2004
Using control theory to make cancer chemotherapy beneficial from phase dependence and resistant to drug resistance. Zbl 1151.93310
Kimmel, Marek; Świerniak, Andrzej
2004
A note on distributions of times to coalescence, under time-dependent population size. Zbl 1101.92308
Polanski, A.; Bobrowski, A.; Kimmel, M.
2003
A random evolution related to a Fisher-Wright-Moran model with mutation, recombination and drift. Zbl 1032.92025
2003
Modelling growth of drug resistant cancer populations as a system with positive feedback. Zbl 1046.92030
Swierniak, A.; Polanski, A.; Smieja, J.; Kimmel, M.
2003
Asymptotic analysis of three random branching walk models arising in molecular biology. Zbl 1176.93011
Swierniak, Andrzej; Polanski, Andrzej; Śmieja, Jarosław; Kimmel, Marek; Rzeszowska-Wolny, Joanna
2003
Branching processes in biology. Zbl 0994.92001
Kimmel, Marek; Axelrod, David E.
2002
Non-homogeneous infinite sites model under demographic change: Mathematical description and asymptotic behavior of pairwise distributions. Zbl 0987.92024
Bobrowski, Adam; Wang, Ning; Chakraborty, Ranajit; Kimmel, Marek
2002
Why mathematics is needed to understand complex genetics diseases. Zbl 1099.92034
Kimmel, Marek
2002
A semigroup representation and asymptotic behavior of certain statistics of the Fisher-Wright-Moran coalescent. Zbl 1004.92026
Bobrowski, Adam; Kimmel, Marek; Arino, Ovide; Chakraborty, Ranajit
2001
Stochastic models of telomere shortening. Zbl 0943.92015
Olofsson, Peter; Kimmel, Marek
1999
A model of dynamics of mutation, genetic drift and recombination in DNA-repeat genetic loci. Zbl 1153.92330
Polanska, Joanna; Kimmel, Marek
1999
Qualitative analysis of controlled drug resistance model. Inverse Laplace and semigroup approach. Zbl 0949.93070
Świerniak, Andrzej; Polański, Andrzej; Kimmel, Marek; Bobrowski, Adam; Śmieja, Jarosław
1999
Dynamics of the life history of a DNA-repeat sequence. Zbl 1183.92032
1999
Epidemiology, cellular automata, and evolution. Part 1: Selected papers of the proceedings of the conference on deterministic and stochastic modelling of biological interaction (DESTOBIO ’97). Sofia, Bulgaria, August 28–31, 1997. Zbl 0932.00079
Agur, S. (ed.); Cushing, J. (ed.); Diekmann, O. (ed.); Gyllenberg, M. (ed.); Heesterbeek, H. (ed.); Jagers, P. (ed.); Kimmel, M. (ed.); Kostova, T. V. (ed.); Milner, F. (ed.)
1999
Infinite-dimensional model of evolution of drug resistance of cancer cells. Zbl 0897.92015
Kimmel, Marek; Swierniak, Andrzej; Polanski, Andrzej
1998
Application of a time-dependent coalescence process for inferring the history of population size changes from DNA sequence data. Zbl 0906.92023
Polanski, Andrzej; Kimmel, Marek; Chakraborty, Ranajit
1998
Dynamic balance of segregation distortion and selection maintains normal allele sizes at the myotonic dystrophy locus. Zbl 0898.92021
Polański, A.; Chakraborty, R.; Kimmel, M.; Deka, R.
1998
Quasistationarity in a branching model of division-within-division. Zbl 0867.60063
Kimmel, Marek
1997
Estimating clonal heterogeneity and interexperiment variability with the bifurcating autoregressive model for cell lineage data. Zbl 1090.62573
Staudte, R. G.; Huggins, R. M.; Zhang, J.; Axelrod, D. E.; Kimmel, M.
1997
Measures of variation at DNA repeat loci under a general stepwise mutation model. Zbl 0867.92014
Kimmel, Marek; Chakraborty, Ranajit
1996
A continuous-time, multi-type generational inheritance branching process model of cell proliferation with clonal memory. Zbl 0898.60085
Stivers, David N.; Kimmel, Marek
1996
The iterated Galton-Watson process. Zbl 0870.60082
Gawel, Boleslaw; Kimmel, Marek
1996
On the clonal inheritance model of cell proliferation. Zbl 0842.92018
Stivers, David N.; Kimmel, Marek
1996
A discrete-time, multi-type generational inheritance branching process model of cell proliferation. Zbl 0859.92004
Stivers, David N.; Kimmel, Marek; Axelrod, David E.
1996
Time-continuous branching walk models of unstable gene amplification. Zbl 0804.92011
Kimmel, Marek; Stivers, David N.
1994
Comparison of approaches to modeling of cell population dynamics. Zbl 0796.92019
Arino, Ovide; Kimmel, Marek
1993
Nonparametric estimation of the size - metastasis relationship in solid cancers. Zbl 0734.62105
Kimmel, Marek; Flehinger, Betty J.
1991
Cell cycle kinetics with supramitotic control, two cell types, and unequal division: A model of transformed embryonic cells. Zbl 0731.92003
Kimmel, Marek; Arino, Ovide
1991
Asymptotic behaviour of nonlinear semigroup describing a model of selective cell growth regulation. Zbl 0728.92010
Arino, O.; Kimmel, M.
1991
Analysis of a cell population model with unequal division and random transition. Zbl 0779.92012
Arino, Ovide; Kimmel, Marek; Zerner, Martin
1991
Noncompact semigroups of operators generated by cell kinetics models. Zbl 0731.47043
Sanchez, Eva; Arino, Ovide; Kimmel, Marek
1991
Mathematical population dynamics. Proceedings of the second international conference, held May 17-20, 1989, at Rutgers University, New Brunswick, NJ, USA. Zbl 0742.00058
Arino, Ovide (ed.); Axelrod, David E. (ed.); Kimmel, Marek (ed.)
1991
Asymptotic behavior of a nonlinear functional-integral equation of cell kinetics with unequal division. Zbl 0715.92011
Arino, O.; Kimmel, M.
1989
On some nonlinear effects in a model of population dynamics. Zbl 0716.92018
Arino, Ovide; Kimmel, Marek
1989
Asymptotic analysis of a cell cycle model based on unequal division. Zbl 0632.92015
Arino, Ovide; Kimmel, Marek
1987
The natural history of lung cancer in a periodically screened population. Zbl 0616.62137
Flehinger, Betty J.; Kimmel, Marek
1987
Stability analysis of models of cell production systems. Zbl 0609.92018
Arino, Ovide; Kimmel, Marek
1986
Estimation and prediction of cell cycle specific effects of anticancer drugs. Zbl 0607.92005
Kimmel, Marek; Traganos, Frank
1986
Nonparametric analysis of stathmokinesis. Zbl 0605.92003
Kimmel, Marek
1985
Asymptotic analysis of a functional-integral equation related to cell population kinetics. Zbl 0579.92010
Arino, Ovide; Kimmel, Marek
1985
The point-process approach to age- and time-dependent branching processes. Zbl 0521.92016
Kimmel, Marek
1983
An equivalence result for integral equations with application to branching processes. Zbl 0472.60069
Kimmel, Marek
1982
Cellular population dynamics. I. Model construction and reformulation. Zbl 0425.92003
Kimmel, Marek
1980
Cellular population dynamics. II. Investigation of solutions. Zbl 0425.92004
Kimmel, Marek
1980
Time-discrete model of cellular population dynamics. Zbl 0499.92019
Kimmel, Marek
1980
Integro-differential equations in cellular populations dynamics. Zbl 0501.45010
Kimmel, M.
1980
all top 5

#### Cited by 548 Authors

 29 Kimmel, Marek 15 Marciniak-Czochra, Anna K. 12 Bobrowski, Adam 9 Yakovlev, Andrej Yu. 8 Arino, Ovide 8 Molina, Manuel 8 Mota, Manuel 8 Yanev, Nikolay Mihailov 7 Banasiak, Jacek 6 Bellomo, Nicola 6 Gonzalez-Velasco, Miguel 6 Webb, Glenn Francis 5 Alarcón, Tomás 5 Duffy, Ken R. 5 Hautphenne, Sophie 5 Hyrien, Ollivier 5 Ramos, Alfonso 4 Karch, Grzegorz 4 Martínez, Rodrigo 4 Slavtchova-Bojkova, Maroussia Nikiforova 4 Suzuki, Kanako 3 Bansaye, Vincent 3 Barbour, Andrew D. 3 Braunsteins, Peter 3 Burden, Conrad John 3 Fujarewicz, Krzysztof 3 Hanin, Leonid G. 3 Härting, Steffen 3 Holst, Ulla 3 Johansson, Maria 3 Larsson, Sara 3 Li, Jingwen 3 Maini, Philip Kumar 3 Mode, Charles J. 3 Oredsson, Stina 3 Perelson, Alan S. 3 Rosenberg, Noah A. 3 Rydén, Tobias 3 Sagitov, Serik 3 Shen, Pao-Sheng 3 Svensson, Ake 3 Takagi, Izumi 3 Wojdyła, Tomasz 3 Yannakakis, Mihalis 3 Yu, Jian-She 3 Zorin, Aleksandr V. 2 Alaoui, Larbi 2 Allen, Linda J. S. 2 Alsmeyer, Gerold 2 Antoneli, Fernando jun. 2 Bellouquid, Abdelghani 2 Byrne, Helen Mary 2 Castro, Diogo 2 Chakraborty, Ranajit 2 Chen, Xi 2 Ching, Wai-Ki 2 Cho, Heyrim 2 Clairambault, Jean 2 Cyran, Krzysztof A. 2 del Puerto, Inés Maria 2 Dooley, W. C. 2 Etessami, Kousha 2 Foo, Jasmine 2 Getto, Philipp 2 Ghosh, Debashis 2 Gröttrup, Sören 2 Guerrero, Pilar 2 Guo, Pei-Chang 2 Gyllenberg, Mats 2 Hodgkin, Philip D. 2 Ibáñez-Marcelo, Esther 2 Janini, Luiz Mario Ramos 2 Kagansky, Vadim 2 Komarova, Natalia L. 2 Kopp-Schneider, Annette 2 Kunze, Markus Christian 2 Lachowicz, Mirosław 2 Lahodny, Glenn E. jun. 2 Łakomiec, Krzysztof 2 Lambert, Amaury 2 Leder, Kevin 2 Levy, Doron 2 Liu, Zijian 2 Luczak, Malwina J. 2 Ma, Shixia 2 Marguet, Aline 2 Meli, Gianfelice 2 Mitov, Kosto V. 2 Moszyński, Marcin 2 Nakata, Yukihiko 2 Ohtsuki, Hisashi 2 Olofsson, Peter 2 Polański, Andrzej 2 Puchalska, Aleksandra 2 Raj, Towfique 2 Ruan, Shigui 2 Sficas, Yiannis G. 2 Sleeman, Candace K. 2 Soler, Juan S. 2 Subramanian, Vijay G. ...and 448 more Authors
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#### Cited in 104 Serials

 37 Mathematical Biosciences 25 Theoretical Population Biology 23 Journal of Theoretical Biology 22 Journal of Mathematical Biology 11 Bulletin of Mathematical Biology 9 Journal of Applied Probability 9 Mathematical and Computer Modelling 8 Advances in Applied Probability 8 Computers & Mathematics with Applications 8 Stochastic Processes and their Applications 7 The Annals of Applied Probability 7 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 Journal of Mathematical Analysis and Applications 5 Mathematical Methods in the Applied Sciences 5 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Applied Mathematics and Computation 4 Journal of Biological Dynamics 3 Biometrics 3 Statistics & Probability Letters 3 Communications in Statistics. Theory and Methods 3 Computational Statistics and Data Analysis 3 Discrete and Continuous Dynamical Systems 3 Mathematical Population Studies 3 Nonlinear Analysis. Real World Applications 3 Discrete and Continuous Dynamical Systems. Series B 3 Mathematical Biosciences and Engineering 2 Journal of Statistical Physics 2 The Annals of Statistics 2 Journal of Computational and Applied Mathematics 2 Journal of Differential Equations 2 Acta Mathematicae Applicatae Sinica. English Series 2 Multidimensional Systems and Signal Processing 2 Journal of Statistical Computation and Simulation 2 Linear Algebra and its Applications 2 Proceedings of the National Academy of Sciences of the United States of America 2 Bernoulli 2 Methodology and Computing in Applied Probability 2 Stochastic Models 2 Statistical Methods in Medical Research 2 Computational & Mathematical Methods in Medicine 2 Mathematical Modelling of Natural Phenomena 2 The Annals of Applied Statistics 2 International Journal of Stochastic Analysis 2 East Asian Journal on Applied Mathematics 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 The Annals of Probability 1 Biometrical Journal 1 Calcolo 1 Journal of the American Statistical Association 1 Journal of Soviet Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Quaestiones Mathematicae 1 Semigroup Forum 1 SIAM Journal on Computing 1 Software. Practice & Experience 1 Tohoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Systems & Control Letters 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae 1 Probability Theory and Related Fields 1 Statistical Science 1 Journal of Theoretical Probability 1 Applied Mathematics Letters 1 Queueing Systems 1 Computational Mathematics and Mathematical Physics 1 Applied Mathematical Modelling 1 European Journal of Operational Research 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Chinese Science Bulletin 1 Journal of Dynamics and Differential Equations 1 International Journal of Robust and Nonlinear Control 1 Journal of Nonlinear Science 1 Test 1 Applied Mathematics. Series B (English Edition) 1 Nonlinear Dynamics 1 Vietnam Journal of Mathematics 1 Abstract and Applied Analysis 1 Journal of the ACM 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Applied Mathematics and Computer Science 1 Journal of Biological Systems 1 Brazilian Journal of Probability and Statistics 1 Miscelánea Matemática 1 Applied Mathematics E-Notes 1 Statistical Applications in Genetics and Molecular Biology 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Proceedings of the Steklov Institute of Mathematics 1 Networks and Heterogeneous Media 1 Electronic Journal of Statistics 1 International Journal of Biomathematics 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 Journal of Agricultural, Biological, and Environmental Statistics 1 Journal of Probability and Statistics 1 Computer Science Review 1 Journal of Applied Mathematics, Statistics and Informatics ...and 4 more Serials
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#### Cited in 25 Fields

 253 Biology and other natural sciences (92-XX) 149 Probability theory and stochastic processes (60-XX) 63 Statistics (62-XX) 40 Partial differential equations (35-XX) 29 Numerical analysis (65-XX) 28 Ordinary differential equations (34-XX) 21 Operator theory (47-XX) 18 Dynamical systems and ergodic theory (37-XX) 13 Systems theory; control (93-XX) 10 Integral equations (45-XX) 9 Computer science (68-XX) 8 Operations research, mathematical programming (90-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 5 Combinatorics (05-XX) 4 Difference and functional equations (39-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functional analysis (46-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX)