doc. Ing. Václav Klika, Ph.D.
e-mail: | show e-mail |
telephone: | +420 778 545 594 |
room: | 107a |
www: | http://kmlinux.fjfi.cvut.cz/~klikavac/ |

Towards self-organisation in real systems: models and analysis
advisor: | doc. Ing. Václav Klika, Ph.D. |
e-mail: | show e-mail |
type: | phd thesis |
branch of study: | MI_MM |
attached file: | ![]() |
description: | The aim of this topic is to extend the current models of spatial self-organisation and discuss the significance of these extensions in real systems via a combination of analytical and numerical tools. See the attachment for more details. |
last update: | 09.09.2020 09:35:27 |
Semigroups and non-equilibrium thermodynamics
advisor: | doc. Ing. Václav Klika, Ph.D. |
e-mail: | show e-mail |
type: | phd thesis |
branch of study: | MI_MM |
attached file: | ![]() |
description: | The aim of non-equilibrium thermodynamics is to present a rather general framework for formulation of thermodynamically consistent models. In an ideal world, we would like to guarantee the knowledge of mathematical well-posedness of the proposed models, which is almost perpendicular to the former approach (function spaces, boundary and initial conditions etc). See the attachment for more details. |
last update: | 09.09.2020 09:37:36 |
Pokročilé partie gradované geometrie
advisor: | Ing. Jan Vysoký, Ph.D. |
e-mail: | show e-mail |
type: | phd thesis |
branch of study: | MI_MM |
description: | Gradovaná geometrie představuje pozoruhodné rozšíření standardní diferenciální geometrie. Hlavním objektem jejího zájmu jsou gradované variety, matematické objekty popsané gradovaně komutativními algebrami svých funkcí. Vzhledem k nemožnosti jejich jednoduchého popisu jako množin s dodatečnou strukturou vyžaduje jejich studium použití metod vyvinutých v algebraické geometrii. Na rozdíl od klasické teorie obsahuje jejich popis proměnné, které spolu antikomutují. Díky tomu nachází gradovaná geometrie uplatnění v teoretické fyzice, zejména kvantové teorii pole obsahující fermiony. Možným cílem práce bude hledat v různých oblastech standardní diferenciální geometrie a snažit se nalézt možná zobecnění v kategorii gradovaných variet. Příkladem je gradovaná verze slavné Frobeniovy věty dávající do rovnosti involutivní a integrabilní hladké distribuce. Bylo by rovněž zajímavé rozšířit paletu aplikací gradované geometrie v teoretické fyzice. |
references: | Doporučená literatura: [1] J. Vysoký: Global theory of graded manifolds, Reviews in Mathematical Physics 33, 22500335 (2022) [2] C. Carmeli, L. Caston, R. Fioresi: Mathematical foundations of supersymmetry, Vol. 15. European Mathematical Society, 2011 [3] C Bartocci, U Bruzzo, D Hernández-Ruipérez: The geometry of supermanifolds, Vol. 71. Springer Science & Business Media, 2012 [4] B. Jubin, A. Kotov, N. Poncin, V. Salnikov: Differential Graded Lie Groups and Their Differential Graded Lie Algebras, Transformation Groups 27, 497-523 (2022) [5] L. W. Tu: Differential Geometry: Connections, Curvature, and Characteristic Classes, Springer, 2017 |
last update: | 23.05.2023 11:04:23 |
Strojové učení jako špatně podmíněná úloha
advisor: | doc. Ing.Jaromír Kukal, Ph.D. |
e-mail: | show e-mail |
type: | phd thesis |
branch of study: | MI_MM, MI_AMSM, MINF, APIN |
attached file: | ![]() |
description: | viz příloha |
last update: | 24.05.2023 11:22:18 |
V3S Database
The application records results of science and research, and other academic activities. The V3S application serves as a tool for submitting data to the RIV database, exporting data for statistic analyses, and internal evaluation of research.
List of publications in V3S
Books
2011
Klika, V. and Maršík, F., Feasible Simulation of Diseases Related to Bone Remodelling and of Their Treatment, Theoretical Biomechanics, InTech, 2011,
BiBTeX
BiBTeX
@INBOOK{Klika11:1854,
title = {{Feasible Simulation of Diseases Related to Bone Remodelling and of Their Treatment}},
author = {Klika, V. and Mar{\v s}{\'\i}k, F.},
address = {Rijeka},
booktitle = {{Theoretical Biomechanics}},
publisher = {InTech},
year = {2011},
pages = {187--210}
}
title = {{Feasible Simulation of Diseases Related to Bone Remodelling and of Their Treatment}},
author = {Klika, V. and Mar{\v s}{\'\i}k, F.},
address = {Rijeka},
booktitle = {{Theoretical Biomechanics}},
publisher = {InTech},
year = {2011},
pages = {187--210}
}
2010
Klika, V. and Maršík, F. and Mařík, I., Influencing the Effect of Treatment of Diseases Related to Bone Remodelling by Dynamic Loading, Dynamic Modelling, In-Teh, 2010,
BiBTeX
BiBTeX
@INBOOK{Klika10:1704,
title = {{Influencing the Effect of Treatment of Diseases Related to Bone Remodelling by Dynamic Loading}},
author = {Klika, V. and Mar{\v s}{\'\i}k, F. and Ma{\v r}{\'\i}k, I.},
address = {Viena},
booktitle = {{Dynamic Modelling}},
publisher = {In-Teh},
year = {2010},
pages = {263--290}
}
title = {{Influencing the Effect of Treatment of Diseases Related to Bone Remodelling by Dynamic Loading}},
author = {Klika, V. and Mar{\v s}{\'\i}k, F. and Ma{\v r}{\'\i}k, I.},
address = {Viena},
booktitle = {{Dynamic Modelling}},
publisher = {In-Teh},
year = {2010},
pages = {263--290}
}
Articles
2014
Klika, V., A Guide through Available Mixture Theories for Applications, Critical Reviews in Solid State and Materials Sciences 39 (2014) , 154-174
BiBTeX
BiBTeX
@ARTICLE{Klika14:2116,
title = {{A Guide through Available Mixture Theories for Applications}},
author = {Klika, V.},
journal = {Critical Reviews in Solid State and Materials Sciences},
year = {2014},
volume = {39},
number = {2},
pages = {154--174},
month = {FEB}
}
title = {{A Guide through Available Mixture Theories for Applications}},
author = {Klika, V.},
journal = {Critical Reviews in Solid State and Materials Sciences},
year = {2014},
volume = {39},
number = {2},
pages = {154--174},
month = {FEB}
}
2013
Klika, V. and Grmela, M., Coupling between chemical kinetics and mechanics that is both nonlinear and compatible with thermodynamics, Physical Review E 87 (2013) , 012141-1-012141-9
BiBTeX
BiBTeX
@ARTICLE{Klika13:2014,
title = {{Coupling between chemical kinetics and mechanics that is both nonlinear and compatible with thermodynamics}},
author = {Klika, V. and Grmela, M.},
journal = {Physical Review E},
year = {2013},
volume = {87},
number = {1},
pages = {012141-1--012141-9}
}
title = {{Coupling between chemical kinetics and mechanics that is both nonlinear and compatible with thermodynamics}},
author = {Klika, V. and Grmela, M.},
journal = {Physical Review E},
year = {2013},
volume = {87},
number = {1},
pages = {012141-1--012141-9}
}
2012
Klika, V. and Baker, RE and Headon, D. and Gaffney, EA, The Influence of Receptor-Mediated Interactions on Reaction-Diffusion Mechanisms of Cellular Self-organisation, BULLETIN OF MATHEMATICAL BIOLOGY 74 (2012) , 935-957
BiBTeX
BiBTeX
@ARTICLE{Klika12:1850,
title = {{The Influence of Receptor-Mediated Interactions on Reaction-Diffusion Mechanisms of Cellular Self-organisation}},
author = {Klika, V. and Baker, RE and Headon, D. and Gaffney, EA},
journal = {BULLETIN OF MATHEMATICAL BIOLOGY},
year = {2012},
volume = {74},
number = {4},
pages = {935--957}
}
title = {{The Influence of Receptor-Mediated Interactions on Reaction-Diffusion Mechanisms of Cellular Self-organisation}},
author = {Klika, V. and Baker, RE and Headon, D. and Gaffney, EA},
journal = {BULLETIN OF MATHEMATICAL BIOLOGY},
year = {2012},
volume = {74},
number = {4},
pages = {935--957}
}
2011
Myslivec, R. and Klika, V. and Zemková, D. and Maříková, A. and Mařík, I., Prediction of suitable time instant for external fixation removal in distraction osteogenesis according to a simple biomechanical model, Pohybové ústrojí. Pokroky ve výzkumu, diagnostice a terapii 18 (2011) , 328-333
BiBTeX
BiBTeX
@ARTICLE{Myslivec11:1,
title = {{Prediction of suitable time instant for external fixation removal in distraction osteogenesis according to a simple biomechanical model}},
author = {Myslivec, R. and Klika, V. and Zemkov{\' a}, D. and Ma{\v r}{\'\i}kov{\' a}, A. and Ma{\v r}{\'\i}k, I.},
journal = {Pohybov{\' e} {\' u}stroj{\'\i}. Pokroky ve v{\' y}zkumu, diagnostice a terapii},
year = {2011},
volume = {18},
number = {3+4},
pages = {328--333}
}
title = {{Prediction of suitable time instant for external fixation removal in distraction osteogenesis according to a simple biomechanical model}},
author = {Myslivec, R. and Klika, V. and Zemkov{\' a}, D. and Ma{\v r}{\'\i}kov{\' a}, A. and Ma{\v r}{\'\i}k, I.},
journal = {Pohybov{\' e} {\' u}stroj{\'\i}. Pokroky ve v{\' y}zkumu, diagnostice a terapii},
year = {2011},
volume = {18},
number = {3+4},
pages = {328--333}
}
Klika, V. and Maršík, F., Feasible prediction of bone remodelling using modelling techniques, Pohybové ústrojí. Pokroky ve výzkumu, diagnostice a terapii 18 (2011) , 26-41
BiBTeX
BiBTeX
@ARTICLE{Klika11:1877,
title = {{Feasible prediction of bone remodelling using modelling techniques}},
author = {Klika, V. and Mar{\v s}{\'\i}k, F.},
journal = {Pohybov{\' e} {\' u}stroj{\'\i}. Pokroky ve v{\' y}zkumu, diagnostice a terapii},
year = {2011},
volume = {18},
number = {1+2},
pages = {26--41}
}
title = {{Feasible prediction of bone remodelling using modelling techniques}},
author = {Klika, V. and Mar{\v s}{\'\i}k, F.},
journal = {Pohybov{\' e} {\' u}stroj{\'\i}. Pokroky ve v{\' y}zkumu, diagnostice a terapii},
year = {2011},
volume = {18},
number = {1+2},
pages = {26--41}
}
Klika, V., Počítačové modelování tká\v nové přestavby, Československý časopis pro fyziku 61 (2011) , 272-277
BiBTeX
BiBTeX
@ARTICLE{Klika11:1854,
title = {{Po{\v c}{\'\i}ta{\v c}ov{\' e} modelov{\' a}n{\'\i} tk{\' a}{\v n}ov{\' e} p{\v r}estavby}},
author = {Klika, V.},
journal = {{\v C}eskoslovensk{\' y} {\v c}asopis pro fyziku},
year = {2011},
volume = {61},
number = {5},
pages = {272--277},
month = {11}
}
title = {{Po{\v c}{\'\i}ta{\v c}ov{\' e} modelov{\' a}n{\'\i} tk{\' a}{\v n}ov{\' e} p{\v r}estavby}},
author = {Klika, V.},
journal = {{\v C}eskoslovensk{\' y} {\v c}asopis pro fyziku},
year = {2011},
volume = {61},
number = {5},
pages = {272--277},
month = {11}
}
2010
Klika, V. and Maršík, F., A thermodynamic model of bone remodelling: the influence of dynamic loading together with biochemical control, Journal of Musculoskeletal & Neuronal Interactions 10 (2010) , 220-230
BiBTeX
BiBTeX
@ARTICLE{Klika10:1704,
title = {{A thermodynamic model of bone remodelling: the influence of dynamic loading together with biochemical control}},
author = {Klika, V. and Mar{\v s}{\'\i}k, F.},
journal = {Journal of Musculoskeletal \& Neuronal Interactions},
year = {2010},
volume = {10},
number = {3},
pages = {220--230},
month = {Sep}
}
title = {{A thermodynamic model of bone remodelling: the influence of dynamic loading together with biochemical control}},
author = {Klika, V. and Mar{\v s}{\'\i}k, F.},
journal = {Journal of Musculoskeletal \& Neuronal Interactions},
year = {2010},
volume = {10},
number = {3},
pages = {220--230},
month = {Sep}
}
Klika, V., Comparison of the Effects of Possible Mechanical Stimuli on the Rate of Biochemical Reactions, The Journal of Physical Chemistry B 114 (2010) , 10567-10572
BiBTeX
BiBTeX
@ARTICLE{Klika10:1704,
title = {{Comparison of the Effects of Possible Mechanical Stimuli on the Rate of Biochemical Reactions}},
author = {Klika, V.},
journal = {The Journal of Physical Chemistry B},
year = {2010},
volume = {114},
number = {32},
pages = {10567--10572},
month = {Aug}
}
title = {{Comparison of the Effects of Possible Mechanical Stimuli on the Rate of Biochemical Reactions}},
author = {Klika, V.},
journal = {The Journal of Physical Chemistry B},
year = {2010},
volume = {114},
number = {32},
pages = {10567--10572},
month = {Aug}
}
Bougherara, H. and Klika, V. and Maršík, F. and Mařík, IA and Yahia, L., New Predictive Model for Monitoring Bone Remodeling, Journal of Biomedical Materials Research Part A 95A (2010) , 9-24
BiBTeX
BiBTeX
@ARTICLE{Bougherara10,
title = {{New Predictive Model for Monitoring Bone Remodeling}},
author = {Bougherara, H. and Klika, V. and Mar{\v s}{\'\i}k, F. and Ma{\v r}{\'\i}k, IA and Yahia, L.},
journal = {Journal of Biomedical Materials Research Part A},
year = {2010},
volume = {95A},
number = {1},
pages = {9--24},
month = {Oct}
}
title = {{New Predictive Model for Monitoring Bone Remodeling}},
author = {Bougherara, H. and Klika, V. and Mar{\v s}{\'\i}k, F. and Ma{\v r}{\'\i}k, IA and Yahia, L.},
journal = {Journal of Biomedical Materials Research Part A},
year = {2010},
volume = {95A},
number = {1},
pages = {9--24},
month = {Oct}
}
Maršík, F. and Klika, V. and Chlup, H., Remodelling of living bone induced by dynamic loading and drug delivery-Numerical modelling and clinical treatment, Mathematics and Computers in Simulation 80 (2010) , 1278-1288
BiBTeX
BiBTeX
@ARTICLE{Marsik10:158,
title = {{Remodelling of living bone induced by dynamic loading and drug delivery-Numerical modelling and clinical treatment}},
author = {Mar{\v s}{\'\i}k, F. and Klika, V. and Chlup, H.},
journal = {Mathematics and Computers in Simulation},
year = {2010},
volume = {80},
number = {6},
pages = {1278--1288},
month = {6}
}
title = {{Remodelling of living bone induced by dynamic loading and drug delivery-Numerical modelling and clinical treatment}},
author = {Mar{\v s}{\'\i}k, F. and Klika, V. and Chlup, H.},
journal = {Mathematics and Computers in Simulation},
year = {2010},
volume = {80},
number = {6},
pages = {1278--1288},
month = {6}
}
2009
Klika, V. and Maršík, F., Coupling Effect between Mechanical Loading and Chemical Reactions, JOURNAL OF PHYSICAL CHEMISTRY B 113 (2009) , 14689-14697
BiBTeX
BiBTeX
@ARTICLE{Klika09:1588,
title = {{Coupling Effect between Mechanical Loading and Chemical Reactions}},
author = {Klika, V. and Mar{\v s}{\'\i}k, F.},
journal = {JOURNAL OF PHYSICAL CHEMISTRY B},
year = {2009},
volume = {113},
number = {44},
pages = {14689--14697}
}
title = {{Coupling Effect between Mechanical Loading and Chemical Reactions}},
author = {Klika, V. and Mar{\v s}{\'\i}k, F.},
journal = {JOURNAL OF PHYSICAL CHEMISTRY B},
year = {2009},
volume = {113},
number = {44},
pages = {14689--14697}
}
Klika, V. and Pérez, MA and García-Aznar, JM and Maršík, F. and Doblaré, M., A coupled mechano-biochemical model for bone adaptation, Journal of Mathematical Biology () , -
BiBTeX
BiBTeX
@ARTICLE{Klika:211667,
title = {{A coupled mechano-biochemical model for bone adaptation}},
author = {Klika, V. and P{\' e}rez, MA and Garc{\'\i}a-Aznar, JM and Mar{\v s}{\'\i}k, F. and Doblar{\' e}, M.},
journal = {Journal of Mathematical Biology},
pages = {--}
}
title = {{A coupled mechano-biochemical model for bone adaptation}},
author = {Klika, V. and P{\' e}rez, MA and Garc{\'\i}a-Aznar, JM and Mar{\v s}{\'\i}k, F. and Doblar{\' e}, M.},
journal = {Journal of Mathematical Biology},
pages = {--}
}
Contributions in proceedings
2009
Klika, V. and Maršík, F., Simulation/prediction of osteogenic effects of vibration plates using thermodynamics model-a preliminary study, Sympozjum Naukowe "Latest archievements in orthopedics and in pediatrics orthopedics. Prophylatics programs in 'Bone and Joint Decade 2000-2010", (2009) , 148-151, Wydavnictwo AGATKA
BiBTeX
BiBTeX
@INPROCEEDINGS{Klika09:1705,
title = {{Simulation/prediction of osteogenic effects of vibration plates using thermodynamics model-a preliminary study}},
author = {Klika, V. and Mar{\v s}{\'\i}k, F.},
address = {Kloczew},
booktitle = {{Sympozjum Naukowe "Latest archievements in orthopedics and in pediatrics orthopedics. Prophylatics programs in 'Bone and Joint Decade 2000-2010"}},
publisher = {Wydavnictwo AGATKA},
year = {2009},
pages = {148--151}
}
title = {{Simulation/prediction of osteogenic effects of vibration plates using thermodynamics model-a preliminary study}},
author = {Klika, V. and Mar{\v s}{\'\i}k, F.},
address = {Kloczew},
booktitle = {{Sympozjum Naukowe "Latest archievements in orthopedics and in pediatrics orthopedics. Prophylatics programs in 'Bone and Joint Decade 2000-2010"}},
publisher = {Wydavnictwo AGATKA},
year = {2009},
pages = {148--151}
}
2008
Klika, V., Towards real prediction of bone adaptation, Doktorandské dny 2008, (2008) , 83-92, Česká technika - nakladatelství ČVUT
BiBTeX
BiBTeX
@INPROCEEDINGS{Klika08:1509,
title = {{Towards real prediction of bone adaptation}},
author = {Klika, V.},
address = {Praha},
booktitle = {{Doktorandsk{\' e} dny 2008}},
publisher = {{\v C}esk{\' a} technika - nakladatelstv{\'\i} {\v C}VUT},
year = {2008},
pages = {83--92}
}
title = {{Towards real prediction of bone adaptation}},
author = {Klika, V.},
address = {Praha},
booktitle = {{Doktorandsk{\' e} dny 2008}},
publisher = {{\v C}esk{\' a} technika - nakladatelstv{\'\i} {\v C}VUT},
year = {2008},
pages = {83--92}
}
2007
Klika, V., Thermodynamic Model of Bone Adaptation, Doktorandské dny 2007, (2007) , 93-104, Česká technika - nakladatelství ČVUT
BiBTeX
BiBTeX
@INPROCEEDINGS{Klika07:1376,
title = {{Thermodynamic Model of Bone Adaptation}},
author = {Klika, V.},
address = {Praha},
booktitle = {{Doktorandsk{\' e} dny 2007}},
publisher = {{\v C}esk{\' a} technika - nakladatelstv{\'\i} {\v C}VUT},
year = {2007},
pages = {93--104}
}
title = {{Thermodynamic Model of Bone Adaptation}},
author = {Klika, V.},
address = {Praha},
booktitle = {{Doktorandsk{\' e} dny 2007}},
publisher = {{\v C}esk{\' a} technika - nakladatelstv{\'\i} {\v C}VUT},
year = {2007},
pages = {93--104}
}
Klika, V. and Maršík, F., Tissue adaptation driven by chemo-mechanical coupling with application to bone, , () , 337-338,
BiBTeX
BiBTeX
@INPROCEEDINGS{Klika:184903,
title = {{Tissue adaptation driven by chemo-mechanical coupling with application to bone}},
author = {Klika, V. and Mar{\v s}{\'\i}k, F.},
booktitle = {{}},
pages = {337--338}
}
title = {{Tissue adaptation driven by chemo-mechanical coupling with application to bone}},
author = {Klika, V. and Mar{\v s}{\'\i}k, F.},
booktitle = {{}},
pages = {337--338}
}
Others
2009
Klika, V., Towards longterm prediction of tissue remodelling, České vysoké učení technické v Praze, Fakulta jaderná a fyzikálně inženýrská, 2009
BiBTeX
BiBTeX
@PHDTHESIS{Klika09:1588,
title = {{Towards longterm prediction of tissue remodelling}},
author = {Klika, V.},
address = {Praha},
year = {2009},
pages = {103},
school = {{\v C}esk{\' e} vysok{\' e} u{\v c}en{\'\i} technick{\' e} v Praze, Fakulta jadern{\' a} a fyzik{\' a}ln{\v e} in{\v z}en{\' y}rsk{\' a}}
}
title = {{Towards longterm prediction of tissue remodelling}},
author = {Klika, V.},
address = {Praha},
year = {2009},
pages = {103},
school = {{\v C}esk{\' e} vysok{\' e} u{\v c}en{\'\i} technick{\' e} v Praze, Fakulta jadern{\' a} a fyzik{\' a}ln{\v e} in{\v z}en{\' y}rsk{\' a}}
}
2001
Klika, V., Biochemical model of bone remodelling including mechano-chemical coupling, 2001
BiBTeX
BiBTeX
@UNPUBLISHED{Klika01:1704,
title = {{Biochemical model of bone remodelling including mechano-chemical coupling}},
author = {Klika, V.},
year = {2001},
note = {Unpublished Lecture}
}
title = {{Biochemical model of bone remodelling including mechano-chemical coupling}},
author = {Klika, V.},
year = {2001},
note = {Unpublished Lecture}
}
administrator for this page:
Radek Fučík | last update: 08/07/2011