A point estimator for the time course of drug release. (English) Zbl 1442.62450
MSC:
62P10
Found 115 Documents (Results 1–100)
The rational parameterisation theorem for multisite post-translational modification systems. (English) Zbl 1403.92085
Simultaneous interaction of enzymes with two modifiers: reappraisal of kinetic models and new paradigms. (English) Zbl 1403.92100
MSC:
92C45
P2X\(_7\) regenerative-loop potentiation of glutamate synaptic transmission by microglia and astrocytes. (English) Zbl 1403.92040
Mathematical modeling of a minimal protocell with coordinated growth and division. (English) Zbl 1405.92086
Reexcitation mechanisms in epicardial tissue: role of \(I_{\mathrm{to}}\) density heterogeneities and \(I_{\mathrm{Na}}\) inactivation kinetics. (English) Zbl 1402.92234
A possible mechanism for the dynamics of transition between polymerase and exonuclease sites in a high-fidelity DNA polymerase. (English) Zbl 1402.92192
A mathematical model of the stoichiometric control of Smad complex formation in TGF-\(\beta\) signal transduction pathway. (English) Zbl 1402.92183
Theoretical considerations and modeling of chemical inactivation of microorganisms: inactivation of Giardia cysts by free chlorine. (English) Zbl 1402.92217
MSC:
92C45
Kinetic metabolic modelling for the control of plant cells cytoplasmic phosphate. (English) Zbl 1402.92281
The role of extracellular potassium dynamics in the different stages of ictal bursting and spreading depression: A computational study. (English) Zbl 1402.92084
Regulated transport as a mechanism for pattern generation: capabilities for phyllotaxis and beyond. (English) Zbl 1402.92060
A mathematical model of doxorubicin penetration through multicellular layers. (English) Zbl 1400.92166
How can yeast cells decide between three activated MAP kinase pathways? A model approach. (English) Zbl 1400.92233
A mathematical model of \(\alpha\)-catenin dimerization at adherens junctions in polarized epithelial cells. (English) Zbl 1400.92222
On the approaches applied in formulation of a kinetic model of photosystem II: different approaches lead to different simulations of the chlorophyll a fluorescence transients. (English) Zbl 1400.92228
Complementary cooperation between two syntrophic bacteria in pesticide degradation. (English) Zbl 1400.92226
Stochasticity in single gene expression with both intrinsic noise and fluctuation in kinetic parameters. (English) Zbl 1400.92190
J. Theor. Biol. 256, No. 4, 485-492 (2009); corrigendum ibid. 262, No. 2, 381 (2010).
Impact of plasma-protein binding on receptor occupancy: an analytical description. (English) Zbl 1400.92232
MSC:
92C45
A multi-type branching model with varying environment for bacterial dynamics with postantibiotic effect. (English) Zbl 1400.92255
The diffusive influx and carrier efflux have a strong effect on the bistability of the lac operon in Escherichia coli. (English) Zbl 1400.92350
Introduction to dynamics of biological systems. (English) Zbl 1352.92073
Lewis, Mark A. (ed.) et al., Mathematical biology. Papers based on the presentations at the IAS/PCMI summer school, Park City, UT, USA. June 26 – July 16, 2005. Providence, RI: American Mathematical Society (AMS); Princeton, NJ: Institute for Advanced Study (ISBN 978-0-8218-4765-7/hbk). IAS/Park City Mathematics Series 14, 9-23 (2009).
Noise-induced alternative response in MAP kinase pathways with mutual inhibition. (English) Zbl 1369.92044
Predicting drug pharmacokinetics and effect in vascularized tumors using computer simulation. (English) Zbl 1311.92096
MSC:
92C45
Further comparisons of finite difference schemes for computational modelling of biosensors. (English) Zbl 1300.93031
A process model of actin polymerisation. (English) Zbl 1283.92047
Cannata, Nicola (ed.) et al., Proceedings of the 2nd workshop – from biology to concurrency and back (FBTC 2008), Reykjavik, Iceland, July 12, 2008. Amsterdam: Elsevier. Electronic Notes in Theoretical Computer Science 229, No. 1, 127-144 (2009).
The application of impulsive differential equations in pharmacokinetics. (Chinese. English summary) Zbl 1228.92031
On the limit transition to an equation with retarded argument in a model of the synthesis of a substance taking reversibility and sinks into account. (Russian) Zbl 1222.92036
A stochastic model for time to cross antigenic diversity threshold of HIV transmission under alertness. (English) Zbl 1330.92035
Stochastic model for the secretion of Dopamine due to stress leading to Schizophrenia. (English) Zbl 1254.92023
Investigating algebraic and logical algorithms to solve Hopf bifurcation problems in algebraic biology. (English) Zbl 1205.37062
Estimation of reaction rates and unknown external disturbances in a biotechnological process. (Russian) Zbl 1222.92037
Numerical simulation of drug release from collagen matrices by enzymatic degradation. (English) Zbl 1211.92028
Modelling and mathematical studies of neuronal NO-synthase: NO versus NA theory. (English) Zbl 1197.93052
Efficient unbiased \(\tau\)-leap methods for simulating coupled chemical reactions. (Chinese. English summary) Zbl 1205.92081
A theoretical approach for activation of a pro-drug by its conjugate and its localization in cancer chemotherapy. (English) Zbl 1185.92063
On stability of two-compartment pharmacokinetic models: degenerate Lyapunov functional method. (Ukrainian. English summary) Zbl 1189.92047
A pharmacokinetical control model of pathologic processes. (Ukrainian. English summary) Zbl 1189.92052
Berwald-moor metrics and structural stability of conformally-deformed geodesic SODE. (English) Zbl 1194.37171
Reviewer: E. Ahmed (Mansoura)
An asymptotic analysis of intracellular signaling gradients arising from multiple small compartments. (English) Zbl 1182.92025
Boltzmann maps for networks of chemical reactions and the multi-stability problem. (English) Zbl 1183.92036
The limit cycles of a cubic system of biochemical reactions. (Chinese. English summary) Zbl 1189.92021
Importance of Taylor dispersion in pharmacokinetic and multiple indicator dilution modelling. (English) Zbl 1178.92025
Sequential activation of metabolic pathways: a dynamic optimization approach. (English) Zbl 1179.92026
Upscaling of transport processes in porous media with biofilms in equilibrium and non-equilibrium conditions. (English) Zbl 1177.74324
A selective view of stochastic inference and modeling problems in nanoscale biophysics. (English) Zbl 1211.62185
Reviewer: Mikhail P. Moklyachuk (Kyïv)
Minimization of electrostatic free energy and the Poisson-Boltzmann equation for molecular solvation with implicit solvent. (English) Zbl 1180.35504
SIAM J. Math. Anal. 40, No. 6, 2536-2566 (2009); erratum ibid. 43, No. 6, 2776-2777 (2011).
Estimation, model discrimination, and experimental design for implicitly given nonlinear models of enzyme catalyzed chemical reactions. (English) Zbl 1210.62205
Reviewer: Marie Hušková (Prague)
Bifurcation analysis on a reactor model with combination of quadratic and cubic steps. (English) Zbl 1194.92094
Bio-PEPA with events. (English) Zbl 1260.92021
Priami, Corrado (ed.) et al., Transactions on Computational Systems Biology XI. Berlin: Springer (ISBN 978-3-642-04185-3/pbk). Lecture Notes in Computer Science 5750. Lecture Notes in Bioinformatics. Journal Subline, 45-68 (2009).
Process algebra modelling styles for biomolecular processes. (English) Zbl 1260.92030
Priami, Corrado (ed.) et al., Transactions on Computational Systems Biology XI. Berlin: Springer (ISBN 978-3-642-04185-3/pbk). Lecture Notes in Computer Science 5750. Lecture Notes in Bioinformatics. Journal Subline, 1-25 (2009).
Stochastic kinetic modeling of vesicular stomatitis virus intracellular growth. (English) Zbl 1173.92010
Size-independent differences between the mean of discrete stochastic systems and the corresponding continuous deterministic systems. (English) Zbl 1173.92016
RNA oscillator: limit cycle oscillations based on artificial biomolecular reactions. (English) Zbl 1193.92049
Global compartmental pharmacokinetic models for spatiotemporal SPECT and PET imaging. (English) Zbl 1175.92024
Formalisation and methods of analysis of the fast xenobiotic mass transfer in the body. (English) Zbl 1194.92037
Local bifurcations in a nonlinear model of a bioreactor. (English) Zbl 1188.34056
Reviewer: Josef Hainzl (Freiburg)
Univalent positive polynomial maps and the equilibrium state of chemical networks of reversible binding reactions. (English) Zbl 1173.92038
Bayesian and non-Bayesian analysis of mixed-effects PK/PD models based on differential equations. (English) Zbl 1172.92019
Robust closed-loop control of plasma glycemia: a discrete-delay model approach. (English) Zbl 1169.92013
A mathematical feasibility argument for the use of aptamers in chemotherapy and imaging. (English) Zbl 1168.92022
A chemo-electro-mechanical model for simulation of responsive deformation of glucose-sensitive hydrogels with the effect of enzyme catalysis. (English) Zbl 1177.74282
On two-dimensional dynamical systems associated with membrane kinetics underlying cardiac arrhythmias. (English) Zbl 1168.34331
New developments in using stochastic recipe for multi-compartment model: Inter-compartment traveling route, residence time, and exponential convolution expansion. (English) Zbl 1167.00304
Sensitivity and robustness in chemical reaction networks. (English) Zbl 1195.80023
Reviewer: Murad Banaji (London)
D-leaping: accelerating stochastic simulation algorithms for reactions with delays. (English) Zbl 1172.92018
Monitoring and control of unconsciousness during clinical surgery: auditory evoked potentials (AEP) versus the clinical gold standard (CGS). (English) Zbl 1168.92029
New method of finding the analytical solutions directly on the base of the reaction mechanism. (English) Zbl 1194.92036
Modelling physiological and pharmacological control on cell proliferation to optimise cancer treatments. (English) Zbl 1165.92021
Systems biology and bioinformatics. A computational approach. (English) Zbl 1309.92008
Boca Raton, FL: CRC Press (ISBN 978-1-4200-4650-2/hbk; 978-1-138-11803-4//pbk; 978-1-4398-8294-8/ebook). xxiii, 166 p. (2009).
A novel approach to measure all rate constants in the simplest enzyme kinetics model. (English) Zbl 1182.92037
Bifurcation in the stable manifold of the bioreactor with \(n\)th and \(m\)th order polynomial yields. (English) Zbl 1163.92329
Krylov and steady-state techniques for the solution of the chemical master equation for the mitogen-activated protein kinase cascade. (English) Zbl 1165.92019
Efficient reconstruction of metabolic pathways by bidirectional chemical search. (English) Zbl 1163.92012
Modeling and simulation of metabolic networks for estimation of biomass accumulation parameters. (English) Zbl 1172.92010
Parametric modeling of protein-DNA binding kinetics: a discrete event based simulation approach. (English) Zbl 1165.92013
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