Dynamics Control of the Complex Systems via Nondifferentiability

Nejneru, Carmen; Nicuţă, Anca; Constantin, Boris; Manea, Liliana Rozemarie; Teodorescu, Mirela; Agop, M.

doi:10.1155/2013/137056

Cited by 11 publications

(8 citation statements)

References 28 publications

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“…It is worth mentioning that even the phenomena that occur simultaneously are numerous, the release kinetics reveals a smooth evolution towars a stable state; we can affirm that the system (drug delivery polymeric matrix in the release environment) is a complex system which behaves like a self-organized structure, in which the release paths find their own equilibrium [20][21][22][23][24][25][26].…”

Section: Calcein Release Kinetics Calcein Release For Control Hydrogelsmentioning

confidence: 89%

Reducing the Risk in Controlled Drug Release by Using Tannic Acid in Liposomal Formulations

Cioca¹,

Agop²,

Popa³

et al. 2018

Rev. Chim.

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One of the main challenges in designing a release system is the possibility to control the release rate in order to maintain it at a constant value below a defined limit, to avoid exceeding the toxicity threshold. We propose a method of overcoming this difficulty by introducing the drug into liposomes, prior to its inclusion in the hydrogel. Furthermore, a natural cross linker (as is tannic acid) is used, instead of the toxic cross linkers commonly used, thus reducing the toxicity of the release system as a whole.

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Section: Calcein Release Kinetics Calcein Release For Control Hydrogelsmentioning

confidence: 89%

Reducing the Risk in Controlled Drug Release by Using Tannic Acid in Liposomal Formulations

Cioca¹,

Agop²,

Popa³

et al. 2018

Rev. Chim.

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“…A fractal mathematical model was built based on spontaneous symmetry breaking to explain the behaviors of biostructures mentioned above. In the future, the same model can be used to explain other behaviors of the biostructures such as those analyzed in [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47].…”

Section: Discussionmentioning

confidence: 99%

Tissue Engineering - Collagen Matrix Based Flaps - a Simple Construct. Experimental and Theoretical Aspects

Susanu¹,

Moraru²,

Costin³

et al. 2019

Rev. Chim.

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In our study we demonstrate the possibility to create a free flap using only a collagen matrix and a vascular pedicle. The processes of cell migration and differentiation, endogenous collagen synthesis, vascular network development, all rely on the arteriovenous loop introduced in the scaffold with no participation of surrounding vascularity. The flap has the capability to revascularize a full thickness skin graft, and also to establish vascular connections with adjacent vascular territories. Also, a fractal mathematical model was built based on spontaneous breaking symmetry to explain the behaviors of biostructures mentioned above.

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“…Since for a large temporal scale resolution with respect to the inverse of the highest Lyapunov exponent [15,16], the deterministic trajectories of any structural units belonging to the neural system can be replaced by a collection of potential ("virtual") trajectories, the concept of definite trajectory can be substituted by the one of probability density. It was noted that various applications of this model have been described in [17][18][19][20][21][22][23][24][25][26][27][28][29].…”

Section: The Reconstruction Of Eeg Signals Through Scale Relativity Theorymentioning

confidence: 99%

“…In this case, wherein it is possible to generalize many of the previous results [17][18][19][20][21][22][23][24][25][26][27][28][29], the following constraints are admitted:…”

Section: The Reconstruction Of Eeg Signals Through Scale Relativity Theorymentioning

confidence: 99%

Novel Approach for EEG Signal Analysis in a Multifractal Paradigm of Motions. Epileptic and Eclamptic Seizures as Scale Transitions

Irimiciuc

Zală²,

Dimitriu

et al. 2021

Symmetry

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Two different operational procedures are proposed for evaluating and predicting the onset of epileptic and eclamptic seizures. The first procedure analyzes the electrical activity of the brain (EEG signals) using nonlinear dynamic methods (the time variations of the standard deviation, the variance, the skewness and the kurtosis; the evolution in time of the spatial–temporal entropy; the variations of the Lyapunov coefficients, etc.). The second operational procedure reconstructs any type of EEG signal through harmonic mappings from the usual space to the hyperbolic one using the time homographic invariance of a multifractal-type Schrödinger equation in the framework of the scale relativity theory (i.e., in a multifractal paradigm of motions). More precisely, the explicit differential descriptions of the brain activity in the form of 2 × 2 matrices with real elements disclose, through the in-phase coherences at various scale resolutions (i.e., as scale transitions), the multitude of brain neuronal dynamics, especially sequences of epileptic and eclamptic seizures. These two operational procedures are not mutually exclusive, but rather become complementary, offering valuable information concerning epileptic and eclamptic seizures. In such context, the prediction of epileptic and eclamptic seizures becomes fundamental for patients not responding to medical treatment and also presenting an increased rate of seizure recurrence.

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Dynamics Control of the Complex Systems via Nondifferentiability

Cited by 11 publications

References 28 publications

Reducing the Risk in Controlled Drug Release by Using Tannic Acid in Liposomal Formulations

Reducing the Risk in Controlled Drug Release by Using Tannic Acid in Liposomal Formulations

Tissue Engineering - Collagen Matrix Based Flaps - a Simple Construct. Experimental and Theoretical Aspects

Novel Approach for EEG Signal Analysis in a Multifractal Paradigm of Motions. Epileptic and Eclamptic Seizures as Scale Transitions

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