Tailored Pharmacokinetic model to predict drug trapping in long-term anesthesia
Tài liệu tham khảo
Canelli, 2020, The ventilator management team: Repurposing anesthesia workstations and personnel to combat covid-19, J Intensive Care Med, 35, 927, 10.1177/0885066620942097
Zhang, 2020, Response of chinese anesthesiologists to the covid-19 outbreak, Anesthesiology, 132, 1333, 10.1097/ALN.0000000000003300
Stoelting, 2020
Pang, 2007, pharmacokinetic models based on organ clearance, circulatory, and fractal concepts, Am Assoc Pharm Sci, 9, E268
Prodanov, 2018, Fractional velocity as a tool for the study of non-linear problems, Fract Fract, 2, 1
Regev, 2018, Application of underdamped langevin dynamics simulations for the study of diffusion from a drug-eluting stent, Phys A, 507, 231, 10.1016/j.physa.2018.05.082
Farago, 2020, Dynamics approach for multi-layer mass transfer problems, Comput Biol Med, 124, 103932, 10.1016/j.compbiomed.2020.103932
Fedotov, 2012, Sub-diffusive master equation with space-dependent anomalous exponent and structural instability, Rev Phys E, 85, 1, 10.1103/PhysRevE.85.031132
Matis, 1998, A general approach to non-markovian compartmental models, J Pharmacokinet Biopharm, 26, 437, 10.1023/A:1021064101698
Weiss, 1999, The anomalous pharmacokinetics of amiodarone explained by nonexponetial tissue trapping, J Pharmacokinet Biopharm, 27, 10.1023/A:1020965005254
Pereira, 2010, Fractal pharmacokinetics, Comput Math Methods Med, 11, 161, 10.1080/17486700903029280
Baleanu, 2019, A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operator, Chaos, 29, 083127, 10.1063/1.5096159
Abdon, 2016, New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model, Therm Sci, 20, 763, 10.2298/TSCI160111018A
Tajadodi, 2020, Approach of fractional advection-diffusion equation with atangana–baleanu derivative, Chaos Solitons Fract, 130, 109527, 10.1016/j.chaos.2019.109527
Jajarmi, 2020, A new iterative method for the numerical solution of high-order non-linear fractional boundary value problems, Front Phys, 8, 220, 10.3389/fphy.2020.00220
Rezapour S, Mohammadi H, Jajarmi A. A new mathematical model for zika virus transmission. Adv Difference Eqs 589. doi: 10.1186/s13662-020-03044-7.
Shiri, 2020, Collocation methods for terminal value problems of tempered fractional differential equations, Appl Numer Math, 156, 385, 10.1016/j.apnum.2020.05.007
Prodanov, 2016, A model of space-fractional-order diffusion in the gliar scar, J Theoret Biol, 403, 97, 10.1016/j.jtbi.2016.04.031
Prodanov, 2017, Conditions for continuity of fractional velocity and existence of fractional taylor expansions, Chaos Solitons Fract, 102, 236, 10.1016/j.chaos.2017.05.014
Baleanu, 2020, The fractional features of a harmonic oscillator with position-dependent mass, Commun Theor Phys, 72, 055002, 10.1088/1572-9494/ab7700
Sajjadi, 2020, A new adaptive synchronization and hyperchaos control of a biological snap oscillator, Chaos Solitons Fract, 138, 109919, 10.1016/j.chaos.2020.109919
Baleanu, 2020, Planar system-masses in an equilateral triangle: Numerical study within fractional calculus, Comput Model Eng Sci, 124, 953
Tuan, 2020, Final value problem for nonlinear time fractional reaction–diffusion equation with discrete data, J Comput Appl Math, 376, 112883, 10.1016/j.cam.2020.112883
Gao, 2020, A new study of unreported cases of 2019-ncov epidemic outbreaks, Chaos Solitons Fract, 138, 109929, 10.1016/j.chaos.2020.109929
Gao, 2020, Novel dynamic structures of 2019-ncov with nonlocal operator via powerful computational technique, Biology, 9, 107, 10.3390/biology9050107
Gao W, Basckonus H, Shu L. New investigation of bats-hosts-reservoir-people coronavirus model and application to 2019-ncov system. Adv Differ Eqs 391. doi: 10.1186/s13662-020-02831-6.
Ameen, 2020, An efficient algorithm for solving the fractional optimal control of sirv epidemic model with a combination of vaccination and treatment, Chaos Solitons Fract, 137, 109892, 10.1016/j.chaos.2020.109892
Ionescu, 2017, The role of fractional calculus in modelling fractional phenomena: a review, Commun Nonlinear Sci Numer Simul, 51, 141, 10.1016/j.cnsns.2017.04.001
Gai, 2020, Unique challenges in pediatric anesthesia created by covid 19, J Anesthesia
Ionescu, 2018, An open source patient simulator for design and evaluation of computer based multiple drug dosing control foranesthetic and hemodynamic variables, IEEE Access, 1
Magin, 2006
Kilbas, 2006
Gutierrez E, Rosario JM, Machado JT. F.O.C.B. Concepts, E. Applications, Mathematical problems in engineering; 2010.
Machado, 2013, Recent history of fractional calculus, Commun Nonlinear Sci Numer Simulat, 16, 1140, 10.1016/j.cnsns.2010.05.027
Kytariolos, 2020, Power law ivivc: an application of fractional kinetics for drug release and absorption, Eur J Pharm Sci, 41, 299, 10.1016/j.ejps.2010.06.015
Popovic, 2010, A new approach to the compartmental analysis in pharmacokinetics: fractional time evolution of diclofenac, J Pharmacokinet Pharmacodyn, 37, 119, 10.1007/s10928-009-9147-3
Ionescu, 2013, The human respiratory system: an analysis of the interplay between anatomy, structure, breathing and fractal dynamics, Springer, Ser BioEng, 10.1007/978-1-4471-5388-7_2
Dokoumetzidis A, Macheras P. Fractional kinetics in drug absorption and disposition processes. J Pharmacokinet Pharmacodyn 2009;36:165–78.
Assadi, 2017, Evaluation of respiratory properties by means of fractional order models, Biomed Signal Process Control, 206, 10.1016/j.bspc.2017.02.006
Metzler, 2000, The random walk’s guide to anomalous diffusion: a fractional dynamics approach, Phys Rep, 339, 1, 10.1016/S0370-1573(00)00070-3
Straka, 2015, Transport equations for subdiffusion with nonlinear particle interaction, J Theor Biol, 366, 71, 10.1016/j.jtbi.2014.11.012
Odibat, 2020, Numerical simulation of initial value problems with generalized caputo-type fractional derivatives, Appl Numer Math, 156, 94, 10.1016/j.apnum.2020.04.015
Berg J. Biochemistr, Freeman and Company New York.
Ameen I, Baleanu D, Ali HM.. On the fractional optimal control problems with a general derivative operator. Asian J Control. doi: https://doi.org/10.1002/asjc.2282.
Minto, 1997, Influence of age and gender on the pharmacokinetics and pharmacodynamics of remifentanil: I. model development, Anesthesiology, 86, 10, 10.1097/00000542-199701000-00004
Copot, 2017, Data-driven modelling of drug tissue trapping using anomalous kinetics, Chaos Solitons Fract, 102, 441, 10.1016/j.chaos.2017.03.031
Dokoumetzidis, 2010, Fractional kinetics in multi- compartmental systems, J Pharmacokinet Pharmacodyn, 37, 507, 10.1007/s10928-010-9170-4
Copot D, Chevalier A, Ionescu C, De Keyser R. A two-compartment fractional derivative model for propofol diffusion in anesthesia. In: IEEE International Conference on Control Applications; 2013. p. 264–9.
Petras, 2011, Simulation of drug uptake in a two compartmental fractional model for a biological system, j, Commun Nonlinear Sci Numer Simulat, 16, 4588, 10.1016/j.cnsns.2011.02.012
Sultana, 2020, Numerical schemes for a class of tempered fractional integro-differential equations, Appl Numer Math, 157, 110, 10.1016/j.apnum.2020.05.026
Ionescu C, Copot D, De Keyser R. Anesthesiologist in the loop and predictive algorithm to maintain hypnosis while mimicking surgical disturbance. In: 20th World Congress of the International-Federation-of-Automatic-Control (IFAC); 2017. p. 15080–5.
Ghita M, Neckebroek M, Muresan C, Copot D.
Copot, 2018, Models for nociception stimulation and memory effects in awake and aware healthy individuals, IEEE Trans Biomed Eng, 66, 718, 10.1109/TBME.2018.2854917
Ghita M, Neckebroek M, Juchem J, Copot D, Muresan C, Ionescu C. Bioimpedance sensor and methodology for acute pain monitoring. Sensors 20(23).
De Keyser, 2015, Estimation of patient sensitivity to drug effect during propofol hypnosis, in, 2487
Caputo, 2020, Diffusion through skin in the light of a fractional derivative approach: progress and challenges, J Pharmacokinet Pharmacodyn
Ionescu, 2008, Robust predictive control strategy applied for propofol dosing using bis as a controlled variable during anesthesia, IEEE Trans Biomed Eng, 55, 2161, 10.1109/TBME.2008.923142
Padula, 2016, Inversion-based propofol dosing for intravenous induction of hypnosis, Commun Nonlinear Sci Numer Simul, 39, 481, 10.1016/j.cnsns.2016.04.003
Hennion, 2013, How to avoid unbounded drug accumulation with fractional pharmacokinetics, J Pharmacokinet Pharmacodyn, 40, 691, 10.1007/s10928-013-9340-2
Ionescu, 2016, Modelling doxorubicin effect in various cancer therapies by means of fractional calculus, 1283
Mavroudis, 2019, On the unphysical hypotheses in pharmacokinetics and oral drug absoprtion: time to utilize instantaneous rate coefficients instead of rate constants, Eur J Pharm Sci, 130, 137, 10.1016/j.ejps.2019.01.027
Mendez, 2012, Density dependent dispersal and population aggregation patterns, J Theor Biol, 309, 113, 10.1016/j.jtbi.2012.06.015
A.S. of Health-System Pharmacists, Current Drug Shortages: Propofol Emulsion Injection. [link]. https://www.ashp.org/drug-shortages/current-shortages/Drug-Shortage-Detail.aspx?id=651.
Naik, 2020, Modeling and analysis of covid-19 epidemics with treatment in fractional derivatives using real data from pakistan, Eur Phys J, 135, 795
Din, 2020, Stationary distribution and extinction of stochastic coronavirus (covid-19) epidemic model, Chaos Solitons Fract, 139, 110036, 10.1016/j.chaos.2020.110036
Qureshi, 2020, Fractal-fractional differentiation for the modeling and mathematical analysis of nonlinear diarrhea transmission dynamics under the use of real data, Chaos Solitons Fract, 136, 109812, 10.1016/j.chaos.2020.109812
Atangana, 2019, Modeling attractors of chaotic dynamical systems with fractal–fractional operators, Chaos Solitons Fract, 123, 320, 10.1016/j.chaos.2019.04.020
Qureshi S, Chang M, Shaikh AA. Analysis of series rl and rc circuits with time-invariant source using truncated m, atangana beta and conformable derivatives. J Ocean Eng Sci. doi: https://doi.org/10.1016/j.joes.2020.11.006.