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“Symmetry Breaking in Cells and Tissues” presents a collection of seventeen reviews, opinions and original research papers contributed by theoreticians, physicists and mathematicians, as well as experimental biologists, united by a common interest in biological pattern formation and morphogenesis. The contributors discuss diverse manifestations of symmetry breaking in biology and showcase recent developments in experimental and theoretical approaches to biological morphogenesis and pattern formation on multiple scales.
Research & information: general --- Biology, life sciences --- actin waves --- curved proteins --- dynamic instability --- podosomes --- diffusion --- cell polarity --- Cdc42 --- stress --- cellular memory --- phase separation --- prions --- apoptotic extrusion --- oncogenic extrusion --- contractility --- actomyosin --- bottom-up synthetic biology --- motor proteins --- pattern formation --- self-organization --- cell motility --- signal transduction --- actin dynamics --- intracellular waves --- polarization --- direction sensing --- symmetry-breaking --- biphasic responses --- reaction-diffusion --- membrane and cortical tension --- cell fusion --- cortexillin --- cytokinesis --- Dictyostelium --- myosin --- symmetry breaking --- cytoplasmic flow --- phase-space analysis --- nonlinear waves --- actin polymerization --- bifurcation theory --- mass conservation --- spatial localization --- activator–inhibitor models --- developmental transitions --- cell polarization --- mathematical model --- fission yeast --- reaction–diffusion model --- small GTPases --- Cdc42 oscillations --- pseudopod --- Ras activation --- cytoskeleton --- chemotaxis --- neutrophils --- natural variation --- modelling --- activator-substrate mechanism --- mass-conserved models --- intracellular polarization --- partial differential equations --- sensitivity analysis --- GTPase activating protein (GAP) --- fission yeast Schizosaccharomyces pombe --- CRY2-CIBN --- optogenetics --- clustering --- positive feedback --- network evolution --- Saccharomyces cerevisiae --- polarity --- modularity --- neutrality --- n/a
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“Symmetry Breaking in Cells and Tissues” presents a collection of seventeen reviews, opinions and original research papers contributed by theoreticians, physicists and mathematicians, as well as experimental biologists, united by a common interest in biological pattern formation and morphogenesis. The contributors discuss diverse manifestations of symmetry breaking in biology and showcase recent developments in experimental and theoretical approaches to biological morphogenesis and pattern formation on multiple scales.
actin waves --- curved proteins --- dynamic instability --- podosomes --- diffusion --- cell polarity --- Cdc42 --- stress --- cellular memory --- phase separation --- prions --- apoptotic extrusion --- oncogenic extrusion --- contractility --- actomyosin --- bottom-up synthetic biology --- motor proteins --- pattern formation --- self-organization --- cell motility --- signal transduction --- actin dynamics --- intracellular waves --- polarization --- direction sensing --- symmetry-breaking --- biphasic responses --- reaction-diffusion --- membrane and cortical tension --- cell fusion --- cortexillin --- cytokinesis --- Dictyostelium --- myosin --- symmetry breaking --- cytoplasmic flow --- phase-space analysis --- nonlinear waves --- actin polymerization --- bifurcation theory --- mass conservation --- spatial localization --- activator–inhibitor models --- developmental transitions --- cell polarization --- mathematical model --- fission yeast --- reaction–diffusion model --- small GTPases --- Cdc42 oscillations --- pseudopod --- Ras activation --- cytoskeleton --- chemotaxis --- neutrophils --- natural variation --- modelling --- activator-substrate mechanism --- mass-conserved models --- intracellular polarization --- partial differential equations --- sensitivity analysis --- GTPase activating protein (GAP) --- fission yeast Schizosaccharomyces pombe --- CRY2-CIBN --- optogenetics --- clustering --- positive feedback --- network evolution --- Saccharomyces cerevisiae --- polarity --- modularity --- neutrality --- n/a
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“Symmetry Breaking in Cells and Tissues” presents a collection of seventeen reviews, opinions and original research papers contributed by theoreticians, physicists and mathematicians, as well as experimental biologists, united by a common interest in biological pattern formation and morphogenesis. The contributors discuss diverse manifestations of symmetry breaking in biology and showcase recent developments in experimental and theoretical approaches to biological morphogenesis and pattern formation on multiple scales.
Research & information: general --- Biology, life sciences --- actin waves --- curved proteins --- dynamic instability --- podosomes --- diffusion --- cell polarity --- Cdc42 --- stress --- cellular memory --- phase separation --- prions --- apoptotic extrusion --- oncogenic extrusion --- contractility --- actomyosin --- bottom-up synthetic biology --- motor proteins --- pattern formation --- self-organization --- cell motility --- signal transduction --- actin dynamics --- intracellular waves --- polarization --- direction sensing --- symmetry-breaking --- biphasic responses --- reaction-diffusion --- membrane and cortical tension --- cell fusion --- cortexillin --- cytokinesis --- Dictyostelium --- myosin --- symmetry breaking --- cytoplasmic flow --- phase-space analysis --- nonlinear waves --- actin polymerization --- bifurcation theory --- mass conservation --- spatial localization --- activator–inhibitor models --- developmental transitions --- cell polarization --- mathematical model --- fission yeast --- reaction–diffusion model --- small GTPases --- Cdc42 oscillations --- pseudopod --- Ras activation --- cytoskeleton --- chemotaxis --- neutrophils --- natural variation --- modelling --- activator-substrate mechanism --- mass-conserved models --- intracellular polarization --- partial differential equations --- sensitivity analysis --- GTPase activating protein (GAP) --- fission yeast Schizosaccharomyces pombe --- CRY2-CIBN --- optogenetics --- clustering --- positive feedback --- network evolution --- Saccharomyces cerevisiae --- polarity --- modularity --- neutrality
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This book is a compilation of works covering applied mathematical methods and their applications in complex engineering problems. The methods covered in this book include modeling and simulation, computation, analysis, control, optimization, data science, and machine learning. The engineering application topics include but are not limited to environmental engineering, cybersecurity, transportation, agriculture, smart grid, and next-generation manufacturing.
History of engineering & technology --- Phoronomics --- mechanics --- kinetics --- kinematics --- direction cosines --- Euler angles --- space dynamics --- digital computation --- control systems --- control engineering --- industrial cyber-physical systems --- cyber-attacks --- neural network --- model predictive control --- nonlinear chemical processes --- network classification --- network evolution --- network symmetries --- Green’s symmetry problem --- network invariants --- network internal dynamics --- symmetry ensembles --- propensities --- energy --- opening capability --- security --- smart grid --- group signature --- anonymous signature --- autonomous vehicle --- target detection --- multi-sensors --- fusion --- YOLO --- linear response eigenvalue problem --- block methods --- weighted Golub-Kahan-Lanczos algorithm --- convergence analysis --- thick restart --- mining vibrating screen --- theoretical rigid body model --- spring failures diagnosis --- amplitudes change --- real-time optimization --- nonlinear processes --- process control --- chemical reactor control --- distillation column control --- energy-based control --- payload swing attenuation --- linear matrix inequalities --- quadrotor --- larger Lipschitz constants --- comparative advantage --- transaction cost --- specialized production --- infra-marginal model --- agricultural division of labor --- velocity-slip --- temperature-jump --- homotopy analysis method --- nanofluids --- power-law fluids --- state estimation --- parameter estimation --- moving horizon estimation --- extended kalman filter --- ensemble kalman filter --- richards equation --- agro-hydrological systems --- economic model predictive control --- chemical processes --- responsive control --- artificial intelligence --- interpretability --- controller verification --- seashore soft soil --- cement --- sulfuric acid erosion --- stress–strain behavior --- mathematical model --- Micro Grid --- optimization theory --- optimization --- MATLAB simulation
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Most papers published in this Special Issue of Mathematics are written by the participants of the XXXVI International Seminar on Stability Problems for Stochastic Models, 2125 June, 2021, Petrozavodsk, Russia. The scope of the seminar embraces the following topics: Limit theorems and stability problems; Asymptotic theory of stochastic processes; Stable distributions and processes; Asymptotic statistics; Discrete probability models; Characterization of probability distributions; Insurance and financial mathematics; Applied statistics; Queueing theory; and other fields. This Special Issue contains 12 papers by specialists who represent 6 countries: Belarus, France, Hungary, India, Italy, and Russia.
inhomogeneous continuous-time Markov chain --- weak ergodicity --- rate of convergence --- sharp bounds --- differential inequalities --- forward Kolmogorov system --- prefetching --- optimization --- Markov decision processes --- random trees --- Galton–Watson --- capacitance --- dirichlet boundary value problem --- monte carlo method --- unbiased estimator --- von-neumann-ulam scheme --- network evolution --- random graph --- multi-type branching process --- continuous-time branching process --- 2- and 3-interactions --- Malthusian parameter --- Poisson process --- life-length --- extinction --- queuing system --- elastic traffic --- inpatient claim --- non-stationary intensity --- convergence analysis --- bounds on the rate of convergence --- wireless network --- file transfer --- daily traffic profile --- blocking probability --- continuous-time ehrenfest model --- first-passage time densities --- proportional intensity functions --- asymptotic behaviors --- multi-server queueing model --- rating --- self-sufficient servers --- self-checkout --- assistants --- multi-dimensional Markov chains --- retrial queue --- negative customers --- resource heterogeneous queue --- asymptotic analysis --- discrete time functional filter --- optimal unbiased estimation --- steady state --- equilibrium arrivals --- one-server queueing system --- orbit --- retrials --- limit theorem --- sum of independent random variables --- random sum --- asymptotic expansion --- asymptotic deficiency --- kurtosis --- parameter estimation --- gamma-exponential distribution --- mixed distributions --- generalized gamma distribution --- generalized beta distribution --- method of moments --- cumulants --- asymptotic normality
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This book is a compilation of works covering applied mathematical methods and their applications in complex engineering problems. The methods covered in this book include modeling and simulation, computation, analysis, control, optimization, data science, and machine learning. The engineering application topics include but are not limited to environmental engineering, cybersecurity, transportation, agriculture, smart grid, and next-generation manufacturing.
Phoronomics --- mechanics --- kinetics --- kinematics --- direction cosines --- Euler angles --- space dynamics --- digital computation --- control systems --- control engineering --- industrial cyber-physical systems --- cyber-attacks --- neural network --- model predictive control --- nonlinear chemical processes --- network classification --- network evolution --- network symmetries --- Green’s symmetry problem --- network invariants --- network internal dynamics --- symmetry ensembles --- propensities --- energy --- opening capability --- security --- smart grid --- group signature --- anonymous signature --- autonomous vehicle --- target detection --- multi-sensors --- fusion --- YOLO --- linear response eigenvalue problem --- block methods --- weighted Golub-Kahan-Lanczos algorithm --- convergence analysis --- thick restart --- mining vibrating screen --- theoretical rigid body model --- spring failures diagnosis --- amplitudes change --- real-time optimization --- nonlinear processes --- process control --- chemical reactor control --- distillation column control --- energy-based control --- payload swing attenuation --- linear matrix inequalities --- quadrotor --- larger Lipschitz constants --- comparative advantage --- transaction cost --- specialized production --- infra-marginal model --- agricultural division of labor --- velocity-slip --- temperature-jump --- homotopy analysis method --- nanofluids --- power-law fluids --- state estimation --- parameter estimation --- moving horizon estimation --- extended kalman filter --- ensemble kalman filter --- richards equation --- agro-hydrological systems --- economic model predictive control --- chemical processes --- responsive control --- artificial intelligence --- interpretability --- controller verification --- seashore soft soil --- cement --- sulfuric acid erosion --- stress–strain behavior --- mathematical model --- Micro Grid --- optimization theory --- optimization --- MATLAB simulation
Choose an application
Most papers published in this Special Issue of Mathematics are written by the participants of the XXXVI International Seminar on Stability Problems for Stochastic Models, 2125 June, 2021, Petrozavodsk, Russia. The scope of the seminar embraces the following topics: Limit theorems and stability problems; Asymptotic theory of stochastic processes; Stable distributions and processes; Asymptotic statistics; Discrete probability models; Characterization of probability distributions; Insurance and financial mathematics; Applied statistics; Queueing theory; and other fields. This Special Issue contains 12 papers by specialists who represent 6 countries: Belarus, France, Hungary, India, Italy, and Russia.
Research & information: general --- Mathematics & science --- Probability & statistics --- inhomogeneous continuous-time Markov chain --- weak ergodicity --- rate of convergence --- sharp bounds --- differential inequalities --- forward Kolmogorov system --- prefetching --- optimization --- Markov decision processes --- random trees --- Galton–Watson --- capacitance --- dirichlet boundary value problem --- monte carlo method --- unbiased estimator --- von-neumann-ulam scheme --- network evolution --- random graph --- multi-type branching process --- continuous-time branching process --- 2- and 3-interactions --- Malthusian parameter --- Poisson process --- life-length --- extinction --- queuing system --- elastic traffic --- inpatient claim --- non-stationary intensity --- convergence analysis --- bounds on the rate of convergence --- wireless network --- file transfer --- daily traffic profile --- blocking probability --- continuous-time ehrenfest model --- first-passage time densities --- proportional intensity functions --- asymptotic behaviors --- multi-server queueing model --- rating --- self-sufficient servers --- self-checkout --- assistants --- multi-dimensional Markov chains --- retrial queue --- negative customers --- resource heterogeneous queue --- asymptotic analysis --- discrete time functional filter --- optimal unbiased estimation --- steady state --- equilibrium arrivals --- one-server queueing system --- orbit --- retrials --- limit theorem --- sum of independent random variables --- random sum --- asymptotic expansion --- asymptotic deficiency --- kurtosis --- parameter estimation --- gamma-exponential distribution --- mixed distributions --- generalized gamma distribution --- generalized beta distribution --- method of moments --- cumulants --- asymptotic normality
Choose an application
This book is a compilation of works covering applied mathematical methods and their applications in complex engineering problems. The methods covered in this book include modeling and simulation, computation, analysis, control, optimization, data science, and machine learning. The engineering application topics include but are not limited to environmental engineering, cybersecurity, transportation, agriculture, smart grid, and next-generation manufacturing.
History of engineering & technology --- Phoronomics --- mechanics --- kinetics --- kinematics --- direction cosines --- Euler angles --- space dynamics --- digital computation --- control systems --- control engineering --- industrial cyber-physical systems --- cyber-attacks --- neural network --- model predictive control --- nonlinear chemical processes --- network classification --- network evolution --- network symmetries --- Green’s symmetry problem --- network invariants --- network internal dynamics --- symmetry ensembles --- propensities --- energy --- opening capability --- security --- smart grid --- group signature --- anonymous signature --- autonomous vehicle --- target detection --- multi-sensors --- fusion --- YOLO --- linear response eigenvalue problem --- block methods --- weighted Golub-Kahan-Lanczos algorithm --- convergence analysis --- thick restart --- mining vibrating screen --- theoretical rigid body model --- spring failures diagnosis --- amplitudes change --- real-time optimization --- nonlinear processes --- process control --- chemical reactor control --- distillation column control --- energy-based control --- payload swing attenuation --- linear matrix inequalities --- quadrotor --- larger Lipschitz constants --- comparative advantage --- transaction cost --- specialized production --- infra-marginal model --- agricultural division of labor --- velocity-slip --- temperature-jump --- homotopy analysis method --- nanofluids --- power-law fluids --- state estimation --- parameter estimation --- moving horizon estimation --- extended kalman filter --- ensemble kalman filter --- richards equation --- agro-hydrological systems --- economic model predictive control --- chemical processes --- responsive control --- artificial intelligence --- interpretability --- controller verification --- seashore soft soil --- cement --- sulfuric acid erosion --- stress–strain behavior --- mathematical model --- Micro Grid --- optimization theory --- optimization --- MATLAB simulation
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