A magnetohydrodynamic model of controlled drug macromolecule release from transport magnetic nanoparticles covered by a polymer shell under the influence of a low-frequency (<1 kHz) nonheating magnetic field is described.Controlled release (CR) of drugs and genes from transport nanosize modules is a key element for the conception of addressed drug delivery [1]. There are several approaches to CR: changing the pH of the medium, light and ultrasonic stimulation, magnetic hyperthermia (MH) in the radio frequency (0.2-0.8 MHz) magnetic field, and others [1,2]. They all have some or other disadvantages (in particular, insufficient locality and selectivity, and side effects, among other things, are typical for most of them), which restricts the potential of their application.In a series of papers aimed at development of the MH technique [3][4][5][6], it was established that the biochemical response of a system is caused not only by the heat release in magnetic nanoparticles (MNPs), but also by some other nonthermal factors; the authors treated them as "mechanical," "vibrational," and "ultrasonic," without specifying the mechanisms. In works of several groups [7][8][9], with the aim to reduce the MNP heating in an alternating-current magnetic field (AC MF) to a negligibly small level and to amplify "mechanical" factors, frequency f of the AC MF was consciously chosen to be four or five orders of magnitude lower than for MH. Since the heating in the first approximation is proportional to f, it can be certainly neglected at f < 1 kHz. For carriers of drug macromolecules (DMMs), different objects are used: nanomicrocapsules, dendrimers, MNPs, and others. In the case of shell carriers, one relies on softening/destruction of the membrane upon MNP oscillations in the AC MF and, as a consequence, an increase in the permeability of the shell or its total destruction. The corresponding magnetomechanical models were described in [10,11]. For MNP-based carriers covered with a shell of long and chaotically positioned polymer molecules, the possibility of a situation in which DMMs preliminarily loaded into this structure are washed out in the process of MNP oscillation in the AC MF was considered [9]. However, a comprehensive theory or quantitative models for such processes have yet to be developed.In this work, a physical model of possible processes of the controlled DMM release from MNP-based carriers covered with a polymer shell by use of a homogeneous low-frequency (nonheating) AC MF is discussed. Understanding the CR mechanisms makes it possible to formulate requirements for the composition and design of MNP-based complexes and optimize AC MF parameters. The carrier may be a coreshell nanostructure containing a magnetic core (MNP itself) covered by a gold shell to which necessary polymer ligands can be easily attached by a covalent bond (Fig. 1). Molecules of the active substance (drugs, ferments, inhibitors, DNA, etc.) can be positioned between polymer chains and attached to them via different interactions and bonds. The value...