×

zbMATH — the first resource for mathematics

Holcman, David

Compute Distance To:
Author ID: holcman.david Recent zbMATH articles by "Holcman, David"
Published as: Holcman, D.; Holcman, David
External Links: MGP
Documents Indexed: 76 Publications since 1998, including 3 Books

Publications by Year

Citations contained in zbMATH Open

56 Publications have been cited 352 times in 182 Documents Cited by Year
The narrow escape problem. Zbl 1310.60113
Holcman, D.; Schuss, Z.
27
2014
Narrow escape. II: The circular disk. Zbl 1149.82333
Singer, A.; Schuss, Z.; Holcman, D.
24
2006
Escape through a small opening: receptor trafficking in a synaptic membrane. Zbl 1087.82018
Holcman, D.; Schuss, Z.
24
2004
Stability analysis of second-order switched homogeneous systems. Zbl 1032.37054
Holcman, David; Margaliot, Michael
22
2003
Narrow escape. I. Zbl 1149.82335
Singer, A.; Schuss, Z.; Holcman, D.; Eisenberg, R. S.
18
2006
Narrow escape. III: Non-smooth domains and Riemann surfaces. Zbl 1149.82334
Singer, A.; Schuss, Z.; Holcman, D.
16
2006
Diffusion escape through a cluster of small absorbing windows. Zbl 1138.35379
Holcman, D.; Schuss, Z.
15
2008
Stochastic narrow escape in molecular and cellular biology. Zbl 1321.92008
Holcman, David; Schuss, Zeev
14
2015
Wave kernels related to second-order operators. Zbl 1072.35130
Greiner, Peter C.; Holcman, David; Kannai, Yakar
14
2002
Time scale of diffusion in molecular and cellular biology. Zbl 1291.92058
Holcman, D.; Schuss, Z.
13
2014
Partially reflected diffusion. Zbl 1141.60044
Singer, A.; Schuss, Z.; Osipov, A.; Holcman, D.
12
2008
Effective motion of a virus trafficking inside a biological cell. Zbl 1145.92017
Lagache, Thibault; Holcman, David
11
2008
The mean first rotation time of a planar polymer. Zbl 1221.82159
Vakeroudis, S.; Yor, M.; Holcman, D.
10
2011
Modeling calcium dynamics in dendritic spines. Zbl 1073.92007
Holcman, D.; Schuss, Z.
10
2005
Nodal solutions on Riemannian manifolds. Zbl 0927.58018
Holcman, David
10
1999
Extended narrow escape with many windows for analyzing viral entry into the cell nucleus. Zbl 1364.82044
Lagache, T.; Holcman, D.
9
2017
Brownian motion in dire straits. Zbl 1266.60144
Holcman, D.; Schuss, Z.
7
2012
Coagulation-fragmentation for a finite number of particles and application to telomere clustering in the yeast nucleus. Zbl 1255.92012
Hozé, Nathanaël; Holcman, David
7
2012
Diffusion through a cluster of small windows and flux regulation in microdomains. Zbl 1220.92008
Holcman, David; Schuss, Zeev
6
2008
Singular perturbation for the first eigenfunction and blow-up analysis. Zbl 1106.58010
Holcman, David; Kupka, Ivan
6
2006
Kinetics of aggregation with a finite number of particles and application to viral capsid assembly. Zbl 1342.60169
Hoze, Nathanael; Holcman, David
5
2015
Diffusion laws in dendritic spines. Zbl 1259.92008
Holcman, David; Schuss, Zeev
5
2011
Asymptotic formulas for extreme statistics of escape times in 1, 2 and 3-dimensions. Zbl 1415.60054
Basnayake, K.; Schuss, Z.; Holcman, D.
4
2019
Mixed analytical-stochastic simulation method for the recovery of a Brownian gradient source from probability fluxes to small windows. Zbl 1380.60074
Dobramysl, U.; Holcman, D.
4
2018
Analysis of the Poisson-Nernst-Planck equation in a ball for modeling the voltage-current relation in neurobiological microdomains. Zbl 1376.92012
Cartailler, J.; Schuss, Z.; Holcman, D.
4
2017
Modeling capsid kinetics assembly from the steady state distribution of multi-sizes aggregates. Zbl 1331.92059
Hozé, Nathanaël; Holcman, David
4
2014
The search for a DNA target in the nucleus. Zbl 1235.92022
Malherbe, G.; Holcman, D.
4
2010
Extreme narrow escape: shortest paths for the first particles among \(n\) to reach a target window. Zbl 1404.60115
Basnayake, K.; Hubl, A.; Schuss, Z.; Holcman, D.
3
2018
Search for a small egg by spermatozoa in restricted geometries. Zbl 1348.92041
Yang, J.; Kupka, I.; Schuss, Z.; Holcman, D.
3
2016
Analysis of the mean first looping time of a rod-polymer. Zbl 1248.82093
Amitai, A.; Kupka, I.; Holcman, D.
3
2012
Some questions related to modeling in cellular biology. Zbl 1205.35322
Holcman, D.; Kupka, I.
3
2010
Morphogenetic gradients and the stability of boundaries between neighboring morphogenetic regions. Zbl 1281.92015
Kasatkin, Victor; Prochiantz, Alain; Holcman, David
3
2008
Prescribed scalar curvature problem on complete manifolds. Zbl 1037.53005
Holcman, David
3
2001
Asymptotics of elliptic and parabolic PDEs. And their applications in statistical physics, computational neuroscience, and biophysics. Zbl 1402.35004
Holcman, David; Schuss, Zeev
2
2018
100 years after Smoluchowski: stochastic processes in cell biology. Zbl 1360.92037
Holcman, D.; Schuss, Z.
2
2017
The narrow escape problem in a flat cylindrical microdomain with application to diffusion in the synaptic cleft. Zbl 1227.92017
Reingruber, Jürgen; Holcman, David
2
2011
The probability of an encounter of two Brownian particles before escape. Zbl 1187.60062
Holcman, D.; Kupka, I.
2
2009
Nodal solutions on nonlocally conformally flat Riemannian manifolds with boundary. Zbl 1001.53022
Holcman, David
2
2001
Nonlinear PDE with vector fields. Zbl 0963.35054
Holcman, David
2
2000
Steady-state voltage distribution in three-dimensional cusp-shaped funnels modeled by PNP. Zbl 1421.35137
Cartailler, J.; Holcman, D.
1
2019
Stochastic coagulation-fragmentation processes with a finite number of particles and applications. Zbl 1410.60095
Hoze, Nathanael; Holcman, David
1
2018
Do cells sense time by number of divisions? Zbl 1397.92174
Schuss, Z.; Tor, K.; Holcman, David
1
2018
Geometrical effects on nonlinear electrodiffusion in cell physiology. Zbl 1379.35063
Cartailler, J.; Schuss, Z.; Holcman, David
1
2017
Stochastic processes, multiscale modeling, and numerical methods for computational cellular biology. Zbl 1392.92002
Holcman, David (ed.)
1
2017
Oscillatory survival probability: analytical and numerical study of a non-Poissonian exit time. Zbl 1343.60121
Dao Duc, K.; Schuss, Z.; Holcman, D.
1
2016
Search time for a small ribbon and application to vesicular release at neuronal synapses. Zbl 1329.35321
Guerrier, C.; Holcman, D.
1
2015
Post-transcriptional regulation in the nucleus and cytoplasm: study of mean time to threshold (MTT) and narrow escape problem. Zbl 1350.92018
Holcman, D.; Duc, K. Dao; Jones, A.; Byrne, H.; Burrage, K.
1
2015
Kinetics of diffusing polymer encounter in confined cellular microdomains. Zbl 1292.82050
Amitai, A.; Kupka, I.; Holcman, D.
1
2013
Reconstruction of surface and stochastic dynamics from a planar projection of trajectories. Zbl 1282.60067
Hoze, N.; Schuss, Z.; Holcman, D.
1
2013
Stochastic modeling of gene activation and applications to cell regulation. Zbl 1405.92178
Malherbe, G.; Holcman, David
1
2011
Modeling the early steps of cytoplasmic trafficking in viral infection and gene delivery. Zbl 1233.92026
Amoruso, C.; Lagache, T.; Holcman, D.
1
2011
Diffusion in cellular microdomains: application to synapses. Zbl 1177.92006
Holcman, D.
1
2009
Modeling DNA and virus trafficking in the cell cytoplasm. Zbl 1126.92023
Holcman, D.
1
2007
The boundary between compact and noncompact complete Riemann manifolds. Zbl 1119.53021
Holcman, D.; Pugh, C.
1
2007
Concentration of the first eigenfunction for a second order elliptic operator. Zbl 1077.58017
Holcman, David; Kupka, Ivan
1
2005
Prescribed scalar curvature problem on complete manifolds. Zbl 0914.53025
Holcman, David
1
1999
Asymptotic formulas for extreme statistics of escape times in 1, 2 and 3-dimensions. Zbl 1415.60054
Basnayake, K.; Schuss, Z.; Holcman, D.
4
2019
Steady-state voltage distribution in three-dimensional cusp-shaped funnels modeled by PNP. Zbl 1421.35137
Cartailler, J.; Holcman, D.
1
2019
Mixed analytical-stochastic simulation method for the recovery of a Brownian gradient source from probability fluxes to small windows. Zbl 1380.60074
Dobramysl, U.; Holcman, D.
4
2018
Extreme narrow escape: shortest paths for the first particles among \(n\) to reach a target window. Zbl 1404.60115
Basnayake, K.; Hubl, A.; Schuss, Z.; Holcman, D.
3
2018
Asymptotics of elliptic and parabolic PDEs. And their applications in statistical physics, computational neuroscience, and biophysics. Zbl 1402.35004
Holcman, David; Schuss, Zeev
2
2018
Stochastic coagulation-fragmentation processes with a finite number of particles and applications. Zbl 1410.60095
Hoze, Nathanael; Holcman, David
1
2018
Do cells sense time by number of divisions? Zbl 1397.92174
Schuss, Z.; Tor, K.; Holcman, David
1
2018
Extended narrow escape with many windows for analyzing viral entry into the cell nucleus. Zbl 1364.82044
Lagache, T.; Holcman, D.
9
2017
Analysis of the Poisson-Nernst-Planck equation in a ball for modeling the voltage-current relation in neurobiological microdomains. Zbl 1376.92012
Cartailler, J.; Schuss, Z.; Holcman, D.
4
2017
100 years after Smoluchowski: stochastic processes in cell biology. Zbl 1360.92037
Holcman, D.; Schuss, Z.
2
2017
Geometrical effects on nonlinear electrodiffusion in cell physiology. Zbl 1379.35063
Cartailler, J.; Schuss, Z.; Holcman, David
1
2017
Stochastic processes, multiscale modeling, and numerical methods for computational cellular biology. Zbl 1392.92002
Holcman, David (ed.)
1
2017
Search for a small egg by spermatozoa in restricted geometries. Zbl 1348.92041
Yang, J.; Kupka, I.; Schuss, Z.; Holcman, D.
3
2016
Oscillatory survival probability: analytical and numerical study of a non-Poissonian exit time. Zbl 1343.60121
Dao Duc, K.; Schuss, Z.; Holcman, D.
1
2016
Stochastic narrow escape in molecular and cellular biology. Zbl 1321.92008
Holcman, David; Schuss, Zeev
14
2015
Kinetics of aggregation with a finite number of particles and application to viral capsid assembly. Zbl 1342.60169
Hoze, Nathanael; Holcman, David
5
2015
Search time for a small ribbon and application to vesicular release at neuronal synapses. Zbl 1329.35321
Guerrier, C.; Holcman, D.
1
2015
Post-transcriptional regulation in the nucleus and cytoplasm: study of mean time to threshold (MTT) and narrow escape problem. Zbl 1350.92018
Holcman, D.; Duc, K. Dao; Jones, A.; Byrne, H.; Burrage, K.
1
2015
The narrow escape problem. Zbl 1310.60113
Holcman, D.; Schuss, Z.
27
2014
Time scale of diffusion in molecular and cellular biology. Zbl 1291.92058
Holcman, D.; Schuss, Z.
13
2014
Modeling capsid kinetics assembly from the steady state distribution of multi-sizes aggregates. Zbl 1331.92059
Hozé, Nathanaël; Holcman, David
4
2014
Kinetics of diffusing polymer encounter in confined cellular microdomains. Zbl 1292.82050
Amitai, A.; Kupka, I.; Holcman, D.
1
2013
Reconstruction of surface and stochastic dynamics from a planar projection of trajectories. Zbl 1282.60067
Hoze, N.; Schuss, Z.; Holcman, D.
1
2013
Brownian motion in dire straits. Zbl 1266.60144
Holcman, D.; Schuss, Z.
7
2012
Coagulation-fragmentation for a finite number of particles and application to telomere clustering in the yeast nucleus. Zbl 1255.92012
Hozé, Nathanaël; Holcman, David
7
2012
Analysis of the mean first looping time of a rod-polymer. Zbl 1248.82093
Amitai, A.; Kupka, I.; Holcman, D.
3
2012
The mean first rotation time of a planar polymer. Zbl 1221.82159
Vakeroudis, S.; Yor, M.; Holcman, D.
10
2011
Diffusion laws in dendritic spines. Zbl 1259.92008
Holcman, David; Schuss, Zeev
5
2011
The narrow escape problem in a flat cylindrical microdomain with application to diffusion in the synaptic cleft. Zbl 1227.92017
Reingruber, Jürgen; Holcman, David
2
2011
Stochastic modeling of gene activation and applications to cell regulation. Zbl 1405.92178
Malherbe, G.; Holcman, David
1
2011
Modeling the early steps of cytoplasmic trafficking in viral infection and gene delivery. Zbl 1233.92026
Amoruso, C.; Lagache, T.; Holcman, D.
1
2011
The search for a DNA target in the nucleus. Zbl 1235.92022
Malherbe, G.; Holcman, D.
4
2010
Some questions related to modeling in cellular biology. Zbl 1205.35322
Holcman, D.; Kupka, I.
3
2010
The probability of an encounter of two Brownian particles before escape. Zbl 1187.60062
Holcman, D.; Kupka, I.
2
2009
Diffusion in cellular microdomains: application to synapses. Zbl 1177.92006
Holcman, D.
1
2009
Diffusion escape through a cluster of small absorbing windows. Zbl 1138.35379
Holcman, D.; Schuss, Z.
15
2008
Partially reflected diffusion. Zbl 1141.60044
Singer, A.; Schuss, Z.; Osipov, A.; Holcman, D.
12
2008
Effective motion of a virus trafficking inside a biological cell. Zbl 1145.92017
Lagache, Thibault; Holcman, David
11
2008
Diffusion through a cluster of small windows and flux regulation in microdomains. Zbl 1220.92008
Holcman, David; Schuss, Zeev
6
2008
Morphogenetic gradients and the stability of boundaries between neighboring morphogenetic regions. Zbl 1281.92015
Kasatkin, Victor; Prochiantz, Alain; Holcman, David
3
2008
Modeling DNA and virus trafficking in the cell cytoplasm. Zbl 1126.92023
Holcman, D.
1
2007
The boundary between compact and noncompact complete Riemann manifolds. Zbl 1119.53021
Holcman, D.; Pugh, C.
1
2007
Narrow escape. II: The circular disk. Zbl 1149.82333
Singer, A.; Schuss, Z.; Holcman, D.
24
2006
Narrow escape. I. Zbl 1149.82335
Singer, A.; Schuss, Z.; Holcman, D.; Eisenberg, R. S.
18
2006
Narrow escape. III: Non-smooth domains and Riemann surfaces. Zbl 1149.82334
Singer, A.; Schuss, Z.; Holcman, D.
16
2006
Singular perturbation for the first eigenfunction and blow-up analysis. Zbl 1106.58010
Holcman, David; Kupka, Ivan
6
2006
Modeling calcium dynamics in dendritic spines. Zbl 1073.92007
Holcman, D.; Schuss, Z.
10
2005
Concentration of the first eigenfunction for a second order elliptic operator. Zbl 1077.58017
Holcman, David; Kupka, Ivan
1
2005
Escape through a small opening: receptor trafficking in a synaptic membrane. Zbl 1087.82018
Holcman, D.; Schuss, Z.
24
2004
Stability analysis of second-order switched homogeneous systems. Zbl 1032.37054
Holcman, David; Margaliot, Michael
22
2003
Wave kernels related to second-order operators. Zbl 1072.35130
Greiner, Peter C.; Holcman, David; Kannai, Yakar
14
2002
Prescribed scalar curvature problem on complete manifolds. Zbl 1037.53005
Holcman, David
3
2001
Nodal solutions on nonlocally conformally flat Riemannian manifolds with boundary. Zbl 1001.53022
Holcman, David
2
2001
Nonlinear PDE with vector fields. Zbl 0963.35054
Holcman, David
2
2000
Nodal solutions on Riemannian manifolds. Zbl 0927.58018
Holcman, David
10
1999
Prescribed scalar curvature problem on complete manifolds. Zbl 0914.53025
Holcman, David
1
1999
all top 5

Cited by 273 Authors

31 Holcman, David
12 Schuss, Zeev
11 Lawley, Sean D.
8 Margaliot, Michael
8 Sabelfeld, Karl Karlovich
6 Grebenkov, Denis S.
5 Bénichou, Olivier
5 Kupka, Ivan A. K.
5 Voituriez, Raphaël
5 Ward, Michael J.
4 Bressloff, Paul C.
4 Hozé, Nathanaël
3 Benalili, Mohammed
3 Bernoff, Andrew J.
3 Cartailler, J.
3 Lindsay, Alan E.
3 Singer, Amit
2 Amitai, A.
2 Basnayake, K.
2 Bekiri, Mohamed
2 Caginalp, Carey
2 Chen, Xinfu
2 Cheviakov, Alexei F.
2 Coombs, Daniel
2 Duc, K. Dao
2 Franchi, Bruno
2 Guerrier, C.
2 Henry, Guillermo
2 Lagache, Thibault
2 Miles, Christopher E.
2 Rupprecht, J.-F.
2 Shalimova, Irina A.
2 Tzou, Justin C.
2 Tzou, Leo
2 Vakeroudis, Stavros
2 Vakeroudis, Stavros M.
2 Yor, Marc
1 Adlakha, Neeru
1 Aleksandrov, Aleksandr Yur’evich
1 Allgower, Frank
1 Ammann, Bernd Eberhard
1 Ammari, Habib M.
1 Antonini, Paolo
1 Arapostathis, Aristotle
1 Aubin, Thierry Émilien Flavien
1 Bao, Jingdong
1 Baran, Sándor
1 Beals, Richard W.
1 Benitez, Francisco G.
1 Bianchini, Bruno
1 Bianchini, Roberta
1 Bielecki, Andrzej
1 Boccardo, Gianluca
1 Bornholdt, Stefan
1 Breit, Markus
1 Broucke, Mireille E.
1 Buckley, Jeremiah
1 Burrage, Kevin
1 Byrne, Helen Mary
1 Calin, George A.
1 Calvetti, Daniela
1 Chao, Ying
1 Chen, Hongfei
1 Chen, Lei
1 Chen, Weiliang
1 Cheng, Yougan
1 Clapp, Mónica
1 Cobbold, Christina A.
1 Comtet, Alain
1 Cong, Shen
1 Cotsiolis, Athanase
1 Daon, Yair
1 De Schutter, Erik
1 Delgado, M. I.
1 Di Crescenzo, Antonio
1 Dobramysl, Ulrich
1 Dragomir, Mihnea
1 Dritsas, Leonidas
1 Duan, Jinqiao
1 Dumont, Grégory
1 Eisenberg, Robert S.
1 El-Sayed, Sawsan S. S.
1 Eldem, Vasfi
1 Enciso, Alberto
1 Feldheim, Naomi Dvora
1 Fernández, Juan Carlos
1 Forest, M. Gregory
1 Galiano Casas, Gonzalo
1 Gao, Fuqing
1 Garetto, Claudia
1 Geng, Xianguo
1 Gitizadeh, Rabin
1 Godec, Aljaž
1 Gosse, Laurent
1 Greco, Luca
1 Greiner, Peter C.
1 Halikias, George D.
1 Hamdache, Kamel
1 Han, Zhengzhi
1 Henry, Gérard
...and 173 more Authors
all top 5

Cited in 80 Serials

13 Journal of Statistical Physics
9 Multiscale Modeling & Simulation
8 Automatica
7 Journal of Mathematical Biology
7 Monte Carlo Methods and Applications
6 SIAM Journal on Applied Mathematics
5 Bulletin of Mathematical Biology
5 Journal of Differential Equations
5 Journal of Theoretical Biology
4 Journal of Computational Physics
4 Nonlinearity
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Journal of Nonlinear Science
3 International Journal of Control
3 Journal d’Analyse Mathématique
3 Mathematical Biosciences
3 Physics Letters. A
3 Systems & Control Letters
3 Journal of Scientific Computing
3 Calculus of Variations and Partial Differential Equations
3 Journal of Physics A: Mathematical and Theoretical
2 Journal of Fluid Mechanics
2 Journal of Mathematical Analysis and Applications
2 Physics Reports
2 Journal of Geometry and Physics
2 Journal of Functional Analysis
2 Statistics & Probability Letters
2 The Annals of Applied Probability
2 Journal of Computational Neuroscience
2 Nonlinear Analysis. Real World Applications
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 SIAM Journal on Applied Dynamical Systems
2 Journal of Statistical Mechanics: Theory and Experiment
2 Complex Variables and Elliptic Equations
1 Applicable Analysis
1 Archive for Rational Mechanics and Analysis
1 Computers & Mathematics with Applications
1 Computer Physics Communications
1 International Journal of Systems Science
1 Journal of Mathematical Physics
1 Physica A
1 Arkiv för Matematik
1 Chaos, Solitons and Fractals
1 Advances in Mathematics
1 Journal of Statistical Planning and Inference
1 Mathematics and Computers in Simulation
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Annals of Global Analysis and Geometry
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Physica D
1 Probability Theory and Related Fields
1 Mathematical and Computer Modelling
1 Forum Mathematicum
1 International Journal of Mathematics
1 Neural Computation
1 The Journal of Geometric Analysis
1 Automation and Remote Control
1 Linear Algebra and its Applications
1 SIAM Review
1 Stochastic Processes and their Applications
1 SIAM Journal on Scientific Computing
1 Mathematical Problems in Engineering
1 Abstract and Applied Analysis
1 Mathematical Physics, Analysis and Geometry
1 Journal of Inequalities and Applications
1 Communications in Nonlinear Science and Numerical Simulation
1 Communications in Contemporary Mathematics
1 Methodology and Computing in Applied Probability
1 Milan Journal of Mathematics
1 Computational Biology and Chemistry
1 Analysis and Applications (Singapore)
1 Stochastics
1 Journal of Fixed Point Theory and Applications
1 Inverse Problems and Imaging
1 Asian-European Journal of Mathematics
1 International Journal of Biomathematics
1 Journal of Pseudo-Differential Operators and Applications
1 Analysis and Mathematical Physics
1 The Journal of Mathematical Neuroscience
1 International Journal of Systems Science. Principles and Applications of Systems and Integration

Citations by Year