Found 81 Documents (Results 1–81)
Role of coupling delay in oscillatory activity in autonomous networks of excitable neurons with dissipation. (English) Zbl 1541.92009
Reviewer: Haydar Akca (Abu Dhabi)
Periods 1 + 2 imply chaos in steep or nonsmooth maps. (English) Zbl 1507.37054
Reviewer: Steve Pederson (Atlanta)
Wiggly canards: growth of traveling wave trains through a family of fast-subsystem foci. (English) Zbl 1495.34082
Electrical propagation of condensed and diffuse ions along actin filaments. (English) Zbl 1494.92036
Tick, tock, circadian clocks. (English) Zbl 1478.92021
Kraikivski, Pavel (ed.), Case studies in systems biology. Cham: Springer. 79-94 (2021).
Analytical solution of linearized equations of the Morris-Lecar neuron model at large constant stimulation. (English) Zbl 07409887
A regularization method for the parameter estimation problem in ordinary differential equations via discrete optimal control theory. (English) Zbl 1441.62074
Computing optimal properties of drugs using mathematical models of single channel dynamics. (English) Zbl 1412.92140
Optimal control and additive perturbations help in estimating ill-posed and uncertain dynamical systems. (English) Zbl 1402.62031
Microbial metabolism and growth under conditions of starvation modelled as the sliding mode of a differential inclusion. (English) Zbl 1386.34092
The ghosts of departed quantities in switches and transitions. (English) Zbl 1387.34023
Reviewer: Vasile Dragan (Bucureşti)
The influence of nuclear compartmentalisation on stochastic dynamics of self-repressing gene expression. (English) Zbl 1381.92029
Steady-state-preserving simulation of genetic regulatory systems. (English) Zbl 1369.92037
MSC:
92C40
An efficient method for simulation of noisy coupled multi-dimensional oscillators. (English) Zbl 1349.65539
Computing rates of Markov models of voltage-gated ion channels by inverting partial differential equations governing the probability density functions of the conducting and non-conducting states. (English) Zbl 1358.92046
A tracking approach to parameter estimation in linear ordinary differential equations. (English) Zbl 1330.62168
Partial equilibrium approximations in apoptosis. II: The death-inducing signaling complex subsystem. (English) Zbl 1364.92008
Kernel-based profile estimation for ordinary differential equations with partially measured state variables. (English) Zbl 1327.62117
MSC:
62F10
Mean field analysis of a spatial stochastic model of a gene regulatory network. (English) Zbl 1350.92020
Two-dimensional finite element model to study unsteady state \(\text{Ca}^{2+}\) diffusion in neuron involving ER LEAK and SERCA. (English) Zbl 1323.92046
Where do computational mathematics and computational statistics converge? (English) Zbl 07912736
MSC:
62-08
Modelling the coupling between intracellular calcium release and the cell cycle during cortical brain development. (English) Zbl 1412.92028
The regulation of gene expression in eukaryotes: bistability and oscillations in repressilator models. (English) Zbl 1411.92091
MSC:
92C40
Probabilistic description of model set response in neuromuscular blockade. (English) Zbl 1327.93375
Świątek, Jerzy (ed.) et al., Advances in systems science. Proceedings of the international conference on systems science 2013 (ICSS 2013), Wroclaw, Poland, September 10–12, 2013. Cham: Springer (ISBN 978-3-319-01856-0/pbk; 978-3-319-01857-7/ebook). Advances in Intelligent Systems and Computing 240, 405-414 (2014).
Introduction to the geometric theory of ODEs with applications to chemical processes. (English) Zbl 1322.34002
Benner, Peter (ed.) et al., Large-scale networks in engineering and life sciences. Based on the summer school, Magdeburg, Germany, September 26–30, 2011. Heidelberg: Birkhäuser/Springer (ISBN 978-3-319-08436-7/hbk; 978-3-319-08437-4/ebook). Modeling and Simulation in Science, Engineering and Technology, 1-123 (2014).
Causal structure of oscillations in gene regulatory networks: Boolean analysis of ordinary differential equation attractors. (English) Zbl 1331.92054
Entrained collective rhythms of multicellular systems: partial impulsive control strategy. (English) Zbl 1293.93043
A graph-based approach for the approximate solution of the chemical master equation. (English) Zbl 1275.92103
A mathematical model for astrocytes mediated LTP at single hippocampal synapses. (English) Zbl 1446.92181
MSC:
92C20
Motoneuron model of self-sustained firing after spinal cord injury. (English) Zbl 1446.92145
MSC:
92C20
The low conductance mitochondrial permeability transition pore confers excitability and CICR wave propagation in a computational model. (English) Zbl 1405.92082
Spatio-temporal modelling of the Hes1 and p53-Mdm2 intracellular signalling pathways. (English) Zbl 1405.92085
Novel techniques in parameter estimation for fractional dynamical models arising from biological systems. (English) Zbl 1228.93114
A conservative and monotone mixed-hybridized finite element approximation of transport problems in heterogeneous domains. (English) Zbl 1231.76138
Markov chain Monte Carlo fitting of single-channel data from inositol trisphosphate receptors. (English) Zbl 1400.92184
RNA oscillator: limit cycle oscillations based on artificial biomolecular reactions. (English) Zbl 1193.92049
On the dynamical behaviour of FitzHugh-Nagumo systems: revisited. (English) Zbl 1187.34061
Reviewer: Klaus R. Schneider (Berlin)
Synapses and neurons: basic properties and their use in recognizing environmental signals. (English) Zbl 1400.92081
beim Graben, Peter (ed.) et al., Lectures in supercomputational neuroscience. Dynamics in complex brain networks. Papers based on the presentations at the 5th Helmholtz summer school on supercomputational physics “Complex networks in brain dynamics”, September 2005, Potsdam, Germany. Berlin: Springer (ISBN 978-3-540-73158-0/hbk). Understanding Complex Systems, 49-74 (2008).
Applying a rigorous quasi-steady state approximation method for proving the absence of oscillations in models of genetic circuits. (English) Zbl 1171.92317
Horimoto, Katsuhisa (ed.) et al., Algebraic biology. Third international conference, AB 2008, Castle of Hagenberg, Austria, July 31–August 2, 2008. Proceedings. Berlin: Springer (ISBN 978-3-540-85100-4/pbk). Lecture Notes in Computer Science 5147, 56-64 (2008).
Differential algebra and system modeling in cellular biology. (English) Zbl 1171.92313
Horimoto, Katsuhisa (ed.) et al., Algebraic biology. Third international conference, AB 2008, Castle of Hagenberg, Austria, July 31–August 2, 2008. Proceedings. Berlin: Springer (ISBN 978-3-540-85100-4/pbk). Lecture Notes in Computer Science 5147, 22-39 (2008).
Error analysis of a stochastic immersed boundary method incorporating thermal fluctuations. (English) Zbl 1159.65006
Reviewer: Grigori N. Milstein (Ekaterinburg)
Synapses as stochastic concurrent systems. (English) Zbl 1155.92007
Reviewer: Jörg Desel (Eichstätt)
Inferring (biological) signal transduction networks via transitive reductions of directed graphs. (English) Zbl 1147.68057
Synchronized dynamics and non-equilibrium steady states in a stochastic yeast cell-cycle network. (English) Zbl 1130.92019
An immersed boundary framework for modelling the growth of individual cells: an application to the early tumour development. (English) Zbl 1455.92033
Perturbation approximation of solutions of a nonlinear inverse problem arising in olfaction experimentation. (English) Zbl 1145.92004
Approximations and their consequences for dynamic modelling of signal transduction pathways. (English) Zbl 1114.92023
Are buffers boring? Uniqueness and asymptotical stability of traveling wave fronts in the buffered bistable system. (English) Zbl 1115.92016
A stochastic immersed boundary method for fluid-structure dynamics at microscopic length scales. (English) Zbl 1124.74052
Solving the chemical master equation for monomolecular reaction systems analytically. (English) Zbl 1113.92032
A modified Hodgkin-Huxley model. (English) Zbl 1138.92303
MSC:
92C20
Error analysis of a specialized numerical method for mathematical models from neuroscience. (English) Zbl 1097.65084
MSC:
65L70
Sustained simultaneous glycolytic and insulin oscillations in \(\beta\)-cells. (English) Zbl 1445.92093
A modelling framework describing the enzyme regulation of membrane lipids underlying gradient perception in Dictyostelium cells II: input-output analysis. (English) Zbl 1445.92112
Exploiting optimal control for target-oriented manipulation of (bio)chemical systems: a model-based approach to specific modification of self-organized dynamics. (English) Zbl 1075.92059
A distributed parameter identification problem in neuronal cable theory models. (English) Zbl 1063.92009
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