Preprint
Concept Paper

This version is not peer-reviewed.

Resonance-Frequency-Targeted High-Intensity Focused Ultrasound/Microwave for Selective Denaturation of Pathological Protein Aggregates in Neurodegenerative Diseases: A New Treatment Approach

Submitted:

28 March 2026

Posted:

31 March 2026

You are already at the latest version

Abstract
Our proposal introduces a novel therapeutic approach to treat neurodegenerative disorders such as Parkinson's disease and Alzheimer's disease. Our proposed method combines solid scientific evidence about misfolded protein aggregates' connection to these disorders with a fundamental physical principle stating that an object's resonance frequency is determined by its mechanical structure and mass distribution. Applied to molecular systems, this implies that misfolded proteins, due to their distinct tertiary and quaternary structures, will necessarily exhibit different vibrational and resonance profiles compared to their native forms. The treatment we propose uses frequency-adjusted high-intensity focused ultrasound or microwave systems to target and denature certain pathological protein clusters. Our approach intends to eliminate misfolded proteins such as alpha-synuclein from Parkinson's disease and amyloid beta from Alzheimer's disease through their specific resonance frequencies. These distinct resonance frequencies reflect variations in their structural conformations and post-translational modifications when compared to healthy proteins. This method aims to neutralize dysfunctional proteins with selective precision to prevent damage to adjacent healthy tissue. We acknowledge significant challenges ahead, notably the precise determination of misfolded protein resonance frequencies in vivo, ensuring targeted specificity, and managing the potential overload of biological clearance mechanisms.
Keywords: 
;  ;  ;  ;  ;  ;  ;  ;  ;  

1. Introduction

1.1. Proteins and Neurodegenerative Diseases

Proteins are essential biomolecules made up of extended amino acid chains that fold into precise three-dimensional shapes that enable their functions. Proteins are crucial in almost every biological process since they act as enzymes and structural components when transporting substances and signaling between cells. The fundamental role of proteins in the brain includes supporting neurotransmission, as well as synaptic plasticity, along with energy metabolism and cell repair functions, which help neurons maintain efficient communication and adapt to various stimuli. Proteins achieve proper function by forming specific shapes guided by their amino acid sequences. The folding mechanism of proteins facilitates their appropriate interactions with other molecules while preserving both cellular efficiency and stability[9].
The protein folding mechanism operates under strict regulation, but sometimes fails and produces incorrectly folded proteins. Misfolded proteins can emerge from genetic mutations, environmental stress, imbalances in molecular chaperones, or disruptions of the proteostasis network. Misfolded proteins may stop functioning correctly or destabilize and form aggregates that disrupt normal cell processes. Cells use chaperone proteins and degradation pathways to detect misfolded proteins and control their build-up within manageable limits. The failure of the proteostasis network allows misfolded proteins to persist, disrupting normal cellular functions[9].
Misfolded protein accumulation is a well-documented hallmark feature in various neurodegenerative disorders. Amyloid beta and misfolded tau protein plaques and tangles interfere with neuronal signaling while also activating inflammatory responses in Alzheimer’s disease. In Parkinson’s disease, aggregates of misfolded alpha-synuclein, which develop into Lewy bodies, damage dopamine-producing neurons. Huntington protein (HTT) with an abnormal polyglutamine expansion forms toxic aggregates that damage neuronal function, leading to Huntington’s disease. The misfolding of the protein TDP-43 or SOD1 will cause the key pathological events that drive ALS and FTD, both of which cause progressive motor and cognitive degeneration. Prion diseases, such as Creutzfeldt-Jakob disease, have a characteristic pathogenic mechanism in which misfolded proteins propagate between proteins, resulting in faster brain damage [39].
In particular, a recent experimental study in mice [41] using anti-TRPV1 beta-synuclein nanoparticles (ATB NP) demonstrated that direct disaggregation and removal of misfolded alfa-synuclein aggregates in the substantia nigra led to a clear reversal of Parkinsonian motor symptoms. This finding provides important biological validation that removal of pathological proteins, even in advanced stages, can restore neural function, reinforcing the therapeutic potential of direct interventions targeting protein aggregates. Currently, no treatment can cure neurodegenerative diseases.
Medical interventions can be broadly divided into two categories: Neurodegenerative disease treatment methods include pharmacological treatments along with non-pharmacological approaches that use external stimulation.
The primary target of pharmacological treatments is to manage disease symptoms while slowing the progression of the disease. While Levodopa offers temporary relief for Parkinson’s disease patients by raising dopamine levels it fails to halt the progression of neurodegeneration[19,28]. Cholinesterase inhibitors and NMDA receptor antagonists show minimal cognitive benefits while failing to stop protein aggregation in Alzheimer’s disease treatments[8,23]. Present research targets molecular chaperones along with RNA-based therapies and gene editing methods to prevent toxic protein misfolding while enhancing the removal of detrimental protein aggregates.
Immunotherapy offers promising results for Alzheimer’s disease treatment through antibodies targeting misfolded proteins while researchers examine anti-amyloid medications like aducanumab and lecanemab [14,22,29].
Researchers are examining external stimulation techniques like electromagnetic and mechanical waves to affect neural functions and counteract disease progression without the use of drugs. These include but not limited:
Deep Brain Stimulation (DBS) serves as a recognized surgical intervention focusing mainly on motor symptoms during the advanced phases of Parkinson’s Disease (PD). Electrodes implanted in the subthalamic nucleus (STN) or globus pallidus internus (GPi) regions deliver electrical impulses to modify dysfunctional neural circuits. DBS treatment leads to significant reductions in tremors and rigidity while improving bradykinesia and motor complications from levodopa which enables patients to lower their medication dosage for better life quality [34]. Nonetheless DBS has its share of disadvantages. Surgical complications and neuropsychiatric effects including depression or apathy along with cognitive decline are postoperative risks which older patients or those with existing cognitive deficits face. APOE epsilon 4 and GBA1 mutations among genetic factors can heighten these risks [1].
The use of Deep Brain Stimulation (DBS) in Alzheimer’s Disease (AD) represents an experimental treatment currently being developed to adjust memory and cognitive pathways in order to decelerate or reverse the progression of cognitive deterioration. DBS is an established treatment for Parkinson’s Disease but researchers continue to study its application for Alzheimer’s Disease where it is used in early or mild cases. Investigations into deep brain stimulation for Alzheimer’s Disease focus primarily on targeting the fornix as the hippocampus’s major output tract and the nucleus basalis of Meynert (NBM) for its role in cholinergic signaling. A number of small clinical trials along with meta-analyses have shown minor enhancements in memory function and attention as well as better functional brain connectivity for patients treated with fornix DBS [11,25]. The results of treatments differ significantly across cases and the cognitive improvements patients experience usually fail to persist over extended periods. The main limitations of this procedure consist of its invasive nature, inconsistent patient responses and absence of established protocols and extensive randomized studies. Experts continue to worry about the risk of delirium, seizures or worsening neurodegeneration in sensitive brain pathways during treatments [27]. DBS in AD treatment remains in the preclinical and early clinical trial stages requiring stronger evidence for clinical implementation.
The non-invasive neuromodulation technique Low-Intensity Focused Ultrasound (LIFU) presents promising therapeutic benefits for neurodegenerative conditions through early clinical and preclinical trials in Alzheimer’s Disease (AD). LIFU delivers pulsed acoustic energy to targeted brain regions, offering two principal benefits in AD: LIFU temporarily opens the blood-brain barrier (BBB) and directly modulates neural activity within memory-related brain circuits including the hippocampus and entorhinal cortex. Research shows LIFU facilitates amyloid-beta removal from the brain and stimulates new neuron growth and slightly enhances cognitive function both with drugs such as aducanumab and when used independently [24,31]. LIFU stands apart from Deep Brain Stimulation (DBS) due to its non-invasive nature which lowers surgical complication risks. However, challenges remain: Because treatment responses differ widely treatment outcomes can vary because sonication protocols lack standardization and inaccurate parameter calibration may produce off-target effects or tissue damage [13]. LIFU remains experimental but shows great promise as an AD treatment tool when used alongside pharmacological therapies.
The combination of High-Intensity Focused Ultrasound (HIFU) with Magnetic Resonance Imaging (MRgFUS) presents a new non-invasive surgical approach to treat Parkinson’s Disease (PD) in patients who cannot undergo deep brain stimulation (DBS). HIFU uses precisely focused ultrasound waves to ablate specific brain structures like the ventral intermediate nucleus (VIM) of the thalamus or the globus pallidus internus (GPi) which results in tremor suppression and motor symptom relief without surgical incisions or implanted devices. Ablation using focused ultrasound has demonstrated fast relief from tremors and rigidity in clinical research while receiving FDA approval for unilateral thalamotomy treatment in Parkinson’s Disease patients. Patients benefit from faster recovery periods and lower infection risks while avoiding implanted hardware and extended programming needs. However, HIFU has limitations: The one-sided effect of HIFU makes it inappropriate for bilateral treatment needs while presenting potential irreversible side effects that include gait problems, paresthesia, or speech difficulties in certain patients [37]. Long-term data about cognitive outcomes and symptom progression are still limited particularly when compared with DBS which provides adjustable stimulation. MRgFUS-HIFU shows great potential as a non-invasive therapy for specific PD patients facing medication-refractory tremor although its usage is restricted by anatomical limitations and regulatory as well as technological barriers.
Transcranial Alternating Current Stimulation (tACS) represents an innovative non-invasive brain modulation method that delivers weak sinusoidal currents at specific frequencies to synchronize disrupted neural oscillations particularly in the gamma ( 40 Hz) and theta (4–8 Hz) bands which are affected in Alzheimer’s Disease (AD). The MIT lab led by Li-Huei Tsai achieved a significant breakthrough by showing that gamma-frequency stimulation through sensory entrainment can reduce amyloid-beta plaques and enhance both microglial activity and synaptic function in AD mouse models [17]. Researchers have now applied non-invasive transcranial electrical stimulation to this method which is currently being tested in early-phase human trials (MIT Picower Institute Review, 2024). The advancements from these studies have initiated fresh clinical research investigations into gamma-tACS as a new therapeutic approach. Through their detailed review [10] demonstrated how tACS has the potential to restore neural synchrony in Alzheimer’s Disease which may lead to improved cognitive functions including attention and memory capacity. TACS research shows potential but continues to struggle with issues like brief treatment effects and inconsistent patient responses along with missing standardized protocols [2,36]. The non-invasive nature of tACS combined with its potential for home usage provides strong reasons for its wider implementation in the early treatment of Alzheimer’s Disease.
Physical stimulation methods utilizing mechanical or electromagnetic stimuli are increasingly accepted because they produce disease-modifying effects through neurophysiological and molecular pathway targeting. Our proposed approach builds upon existing knowledge by using a resonance-frequency-targeted method which selectively activates misfolded protein aggregates through specific vibrations for their denaturation process.

2. Protein Resonance Frequencies

The resonance frequency of a system is its natural vibration mode that is preferentially excited by an external periodic force. When the frequency of the external force aligns with this natural vibrational mode, energy transfer into the system is maximized, resulting in a significantly enhanced oscillatory amplitude. This physical phenomenon is observed across a broad range of systems, from macroscopic mechanical assemblies to interactions at atomic and molecular scales.
In the context of proteins, the resonance frequency denotes the characteristic vibrational modes associated with their molecular structure. These modes arise from the dynamic interactions among the constituent atoms and molecular subgroups governed by parameters such as atomic mass, bond stiffness, and overall conformational topology of the protein.
Figure 1. Frequency scale of mechanical and electromagnetic vibrations. Resonance Frequencies for Viruses, proteins, water, and Human Cells.
Figure 1. Frequency scale of mechanical and electromagnetic vibrations. Resonance Frequencies for Viruses, proteins, water, and Human Cells.
Preprints 205564 g001
Proteins, being complex macromolecules, exhibit resonance at multiple levels:
1. Global resonance (Low-frequency vibrations, megahertz range): Protein structures experience these low-frequency vibrations throughout their entire structure. The global protein dynamics encompasses domain movements as well as loop flexibility and cavity breathing functions because these motions enable enzymatic reactions and allosteric control.
2. Domain-Specific Resonance (Intermediate-Frequency Vibrations, Gigahertz Range): Specific structural elements like alpha-helices, beta-sheets, and folded domains are sites where these vibrations occur. These elements enhance protein stability and bio-molecular interactions that enable different protein regions to move synchronously.
3. Atomic-Level Resonance (High-Frequency Vibrations, Terahertz Range): - Vibrations happen at the level of individual chemical bonds and side-chain torsional movements. - Protein folding and functionality depend on hydrogen bonding, van der Waals interactions and vibrational movements [43].

2.1. Resonance Frequency Changes in Misfolded Proteins

The protein resonance frequencies or natural vibration modes, vary significantly for different protein molecular 3D structures even though they are made of similar sets of amino acids as their elementary chemical building blocks. [33] These vibrations occur due to the forces between atoms and molecular groups within the protein. Misfolded versions of proteins, such as alpha-synuclein in Parkinson’s disease and Tau in Alzheimer’s disease, should exhibit altered resonance frequencies due to changes in their structural conformation. While certain secondary structure elements, such as beta-sheets, may retain similar dimensions—often around 4.7 angstroms between adjacent beta-strands—this does not mean that their resonance frequencies remain unchanged. The overall three-dimensional organization of these sheets within the misfolded protein is different from that of the properly folded form. Misfolding leads to distinct packing arrangements, altered interatomic forces, and variations in intramolecular hydrogen bonding, which are expected to influence the vibrational modes at different scales.
One concern that could be raised is that mechanical or dipolar oscillations might not be sufficiently distinct between native and misfolded proteins to enable selective targeting. However, evidence from spectroscopy, and neutron scattering suggests that proteins do exhibit characteristic vibrational modes influenced by their structure, interactions, and aggregation state [32]. While most observed frequencies are associated with high-frequency bond-level vibrations rather than whole-protein oscillations, the hypothesis underlying this approach is that misfolded aggregates, due to their altered structure and mechanical properties, may exhibit distinct low-frequency vibrational modes. These shifts could be leveraged for selective excitation through finely tuned external stimuli.
Additionally, the increased rigidity and altered hydrogen bonding networks observed in amyloid fibrils and other misfolded aggregates suggest that their vibrational response may differ significantly from that of their native counterparts [6,43]. Techniques such as normal mode analysis (NMA) and quasi-harmonic approximations have been used to explore these vibrational behaviors in molecular dynamics simulations, providing computational insights that complement experimental findings.
Nonetheless, challenges remain in achieving selective excitation, given that broadband oscillations in biological environments may lead to background excitation of multiple proteins. The working hypothesis is that, through fine-tuning of excitation parameters (pulse duration, modulation, and energy absorption characteristics), it may be possible to enhance selectivity for misfolded proteins. Future experimental validation is needed to substantiate these assumptions and refine the methodology for practical applications.

3. Determining the Resonance Frequency of Misfolded Proteins

Protein resonance frequencies depend on their structural attributes which include vibrations occurring at global, domain-specific, and atomic levels. The resonance frequencies range, from megahertz to terahertz, as function of the molecular mass, bonding interactions, and conformational dynamics. Typically, proteins exhibit natural vibration modes from megahertz to gigahertz as their relatively small size constrains their vibrational spectrum. Given their complex macromolecular architecture, proteins feature multiple resonance modes that arise from distinct organizational levels.[43]
Fortunately, the first 70 natural vibration modes have already been determined for more than 100,000 proteins whose 3D molecular structures are available in the Protein Data Bank (PDB) [7,32]. The file containing these frequencies is available upon request. For any protein or misfolded version not available in the previously mentioned file, we will first need to determine its 3D structure, if not available in the PDB [7] or through Google AlphaFold [18], followed by the determination of its resonance frequencies.

3.1. Identification of the Misfolded Proteins Three-Dimensional Structure

The methodology to determine the resonance frequencies of misfolded proteins typically starts with the precise mapping of the protein’s three-dimensional structure using techniques like Cryo-Electron Microscopy (Cryo-EM), X-ray Crystallography or Nuclear Magnetic Resonance (NMR). Cryo-EM is especially well-suited for the task, given its capability to resolve high-definition, three-dimensional (3D) molecular architectures of proteins in their native conformation—including those susceptible to aggregation, such as alpha-synuclein (linked to Parkinson’s disease) and Tau (implicated in Alzheimer’s disease).[20]

3.2. Theoretical Estimation via Computational Modeling

Given the protein structural data, the four most used approaches to determine the theoretical resonance frequencies are:

3.2.1. Mass-Spring Model

Approach: Represents molecules as networks of masses (atoms or residues) connected by springs (bonds) [5].
Energy Minimization: Typically involves minimizing potential energy to find the equilibrium positions before analyzing vibrations.
Computational Complexity: Low; suitable for large systems due to its simplicity.
Precision: Provides a basic understanding of molecular vibrations but lacks detailed atomic interactions.

3.2.2. Normal Mode Analysis (NMA)

Approach: Analyzes the harmonic oscillations around a molecule’s equilibrium structure by solving the eigenvalue problem of the Hessian matrix (second derivatives of the potential energy) [6].
Energy Minimization: Requires prior energy minimization to ensure analysis around a stable equilibrium.
Computational Complexity: Moderate; involves matrix diagonalization, which can be computationally demanding for large systems.
Precision: Captures collective motions effectively but is limited to small, near-equilibrium fluctuations.

3.2.3. Gaussian Network Model (GNM)

Approach: A coarse-grained version of the mass-spring model that represents the protein structure as a network of nodes (usually C alpha atoms) connected by springs if they are within a certain cutoff distance [4].
Energy Minimization: Assumes the structure is already near its equilibrium; focuses on fluctuations around this state without explicit energy minimization.
Computational Complexity: Low; due to its coarse-grained nature and simplified interactions.
Precision: Efficiently predicts global motions and has been shown to correlate well with experimental data, sometimes outperforming more detailed MD simulations in capturing certain dynamics.

3.2.4. Molecular Dynamics (MD)

Approach: Simulates the time-dependent behavior of a molecular system by numerically solving Newton’s equations of motion for all atoms [20].
Energy Minimization: Often involves an initial energy minimization to relieve any steric clashes or unfavorable interactions, but the simulation itself explores a wide range of conformations beyond local minima.
Computational Complexity: High; due to the need to calculate forces and integrate motions over many time steps, especially for large systems or long simulations.
Precision: Provides detailed insights into molecular behavior, including large conformational changes and non-harmonic motions, offering a comprehensive view of molecular dynamics.
Mass-Spring Model vs. GNM: Both simplify the system into a network of masses and springs, but GNM offers a more refined approach by focusing on the topology of interactions and has been shown to align closely with experimental data [4].
NMA vs. MD: While NMA provides insights into the intrinsic, collective motions of proteins around their equilibrium states, MD simulations offer a dynamic and detailed trajectory of molecular motions over time, capturing both small and large-scale conformational changes [6,20].

3.3. Empirical Validation Through Spectroscopy

The vibrational dynamics of proteins across low-frequency ranges associated with collective molecular motions can be examined through Neutron Scattering (Inelastic Neutron Scattering, INS), Brillouin Scattering, and Microwave Spectroscopy as powerful investigative methods.
INS functions as a spectroscopic method for identifying protein vibrations between MHz and GHz frequencies, which helps to reveal how proteins undergo large-scale shape changes and how they manage energy loss [42].
Brillouin Scattering detects protein structural oscillations through analysis of scattered light frequency shifts by acoustic phonons to study molecular mechanical characteristics and elastic changes [15].
Microwave Spectroscopy examines molecular excitations at GHz frequencies to identify unique resonances that indicate dipolar interactions and significant domain movements in protein structures [21].
The techniques mentioned above demonstrate their utility in distinguishing between the vibrational patterns of properly folded proteins and those that are misfolded, which offers potential for selective targeting in medical treatments [15,21,42].

4. Cellular Clearance Mechanisms in the Brain for Removing Denatured Proteins

The primary objective of the resonance-frequency-targeted HIFU or HIFMW approach is to destabilize large misfolded protein aggregates into monomeric or disorganized forms, which the brain’s natural clearance systems can then efficiently remove. Several endogenous pathways play key roles in maintaining proteostasis by clearing misfolded, damaged, or aggregated proteins.
Key clearance pathways include [40] 1. Ubiquitin-proteasome system (UPS): Misfolded proteins are tagged with ubiquitin, targeting them for enzymatic degradation in the proteasome.
2. Autophagy-lysosomal pathway: Cellular debris and protein aggregates are encapsulated in autophagosomes that fuse with lysosomes for degradation by hydrolytic enzymes.
3. Molecular chaperones: These assist in correct protein folding and, in cases of persistent misfolding, direct the protein to degradation pathways. In particular, the chaperone-mediated autophagy (CMA) pathway, involving HSC70 and LAMP2A, plays a key role in identifying and transporting destabilized proteins into lysosomes.
4. Glymphatic system: A fluid-based clearance mechanism that removes extracellular waste—including misfolded proteins—from the interstitial space via cerebrospinal fluid.
5. Microglial phagocytosis: Microglia engulf and degrade extracellular protein aggregates and debris, reducing neurotoxicity.
4.1 Experimental Validation of Heat-Activated Clearance: The ATB NPs Approach
A recent study [41] employing Anti-TRPV1–beta-synuclein nanoparticles activated by near-infrared light (ATB NPs with NIR) demonstrated that direct activation of dopaminergic neurons, combined with targeted disruption of alpha-synuclein aggregates. Gold-based nanoparticles undergo functionalization with antibodies that target the TRPV1 receptor to enable specific attachment to dopaminergic neurons. The nanoparticles carry beta-synuclein peptides which bind to alpha-synuclein fibrils and destabilize them. Boronate ester bonds hold these peptides together until they break apart because of localized heating produced by near-infrared light which enables controlled release of the peptides.
The NIR-induced heat both reactivates neurons via TRPV1 channels and triggers the brain’s endogenous CMAz pathway by activating HSC70, which recognizes thermally destabilized proteins and transports them into lysosomes via LAMP2A for degradation. This study provides compelling experimental confirmation that once a misfolded protein is rendered unstable or exposed, the brain’s natural clearance systems are capable of completing its removal.
While effective in rodents, the translation of the ATB NP system to human therapy faces key limitations, such as the poor penetration depth of NIR light through human cranial tissue, and the need for stereotactic intracerebral injection and potentially invasive optical fiber placement.
4.2 Implications for the Resonance-Frequency-Based Approach The findings from the ATB NP study support a central hypothesis of this paper: that destabilizing misfolded proteins is sufficient to initiate their removal by the brain’s own mechanisms. Importantly, in the proposed resonance-frequency-targeted method, heat is generated intrinsically by the protein itself, as it absorbs vibrational energy at its specific natural frequency.
This localized thermal excitation could:
• Physically disrupt misfolded aggregates; • Expose structural motifs that activate HSC70 recognition; • Trigger CMA and lysosomal degradation as observed in the ATB NP study.
Thus, even without injecting exogenous peptides or relying on antibody targeting, the selective vibrational excitation of pathological proteins in our approach may achieve both disaggregation and clearance, non-invasively and with higher molecular specificity.

5. Ultrasound and Microwaves

Ultrasound describes mechanical waves that exceed the human hearing range with frequencies above 20 kHz and finds primary applications in medical imaging and therapeutic interventions. The propagation of these waves through tissues happens through particle oscillations within the medium which makes them ideal for applications that demand mechanical contact with biological structures. Electromagnetic waves in the range of 300 MHz to 300 GHz make up microwaves. Microwaves propagate through space without needing a medium by interacting with matter through electromagnetic fields which mainly affect dipole rotation and ionic conduction.
Ultrasound and microwaves play significant roles within medical applications. Diagnostic imaging utilizes ultrasound extensively while its higher intensity application targets therapeutic interventions like lithotripsy and tumor ablation. Medical applications of microwaves extend to hyperthermia cancer treatments and non-invasive brain stimulation techniques. While both modalities can deposit energy into biological tissues, their modes of action differ fundamentally: Ultrasound generates energy through mechanical means while microwaves provide electromagnetic energy. Therapeutic ultrasound creates cavitation (see Figure 2) which involves the formation and destruction of microbubbles in a liquid environment through alternating pressure waves. The process produces localized high temperatures and strong shear forces thus improving therapeutic outcomes while creating safety risks when precise control becomes essential [35].
Our proposed method does not rely on cavitation as its primary operational mechanism. Our method employs ultrasound and microwaves to activate misfolded proteins like alpha-synuclein and Tau aggregates by matching their natural resonance frequencies through non-thermal vibration. The proposed strategy uses mechanical or electromagnetic resonance to disrupt targets while intentionally preventing thermal damage to healthy tissues. Our ultrasound techniques maintain operation below safe pressure limits to prevent cavitation while ensuring a non-thermal setting suitable for precise molecular. [3,40].

6. Proposed Mechanism of Action

Emerging evidence supports the hypothesis that biomolecules can be selectively disrupted by externally applied vibrational energy when tuned to their specific resonance frequencies. In this context, misfolded proteins—particularly alpha-synuclein and tau—exhibit altered vibrational modes as a result of their aberrant three-dimensional structures. This foundational principle has been successfully demonstrated in recent studies targeting viral particles through frequency-matched vibrational disruption (see Figure 3) [41].
Our proposed therapeutic approach expands upon this principle by employing High-Intensity Focused Ultrasound (HIFU) or High-Intensity Focused Microwave (HIFMW) to selectively target misfolded protein species involved in neurodegenerative diseases. Unlike methods that solely focus on late-stage aggregates such as Lewy bodies, our approach is designed to act across the entire pathological cascade—from early misfolded monomers to intermediate oligomers and mature inclusions.
The Figure 4 visually illustrates the progression of alpha-synuclein pathology, from misfolded monomeric species to oligomeric assemblies, Lewy bodies, and ultimately neuronal degradation. It also highlights the intervention points of our proposed method, showing how HIFU and HIFMW can target and destabilize misfolded monomers before aggregation, as well as disassemble existing fibrils and inclusions. This broad-spectrum action offers a comprehensive strategy for minimizing the pathological burden of these proteins.
Importantly, once the misfolded proteins absorb energy and become thermally destabilized at their specific resonance frequencies, they are rendered more visible and accessible to the brain’s intrinsic clearance systems. In particular, heat-activated pathways such as chaperone-mediated autophagy (CMA) and lysosomal degradation are triggered. This results in the breakdown and removal of fragmented protein aggregates—whether they originated as monomers, oligomers, or Lewy bodies—via lysosomal digestion and proteasomal processing. The final metabolic products, including short peptides and amino acids, are naturally recycled or cleared by the organism, completing a full biochemical cleanup of the pathological residues.
Transcranial Alternating Current Stimulation (tACS) can be employed in combination with the resonance-frequency-targeted approach proposed herein to enhance the clearance of fragmented or denatured misfolded proteins. Following selective disruption of pathological protein aggregates by resonance-based techniques (HIFU or HIFMW), applying tACS could stimulate endogenous neural oscillations and enhance neural network activity associated with glymphatic function and autophagic pathways. Consequently, the combined strategy of resonance-induced disruption and subsequent neuromodulation via tACS has the potential to significantly improve the efficiency of cellular clearance mechanisms, further reducing protein accumulation and enhancing therapeutic outcomes in neurodegenerative diseases."
In this context, it is important to consider the manner in which energy is delivered. Focused energy deposition—whether via HIFU or HIFMW—enables the targeting of specific pathological regions while minimizing the generation of systemic thermal byproducts. This localized stimulation offers two key advantages: (1) it reduces the risk of damaging healthy tissue and (2) it produces a manageable volume of denatured proteins for clearance, aligning with the brain’s limited capacity to process molecular debris.
Conversely, a more generalized “bath” approach—where energy is diffusely applied across broader brain regions—may overwhelm the endogenous clearance systems by generating a large volume of denatured proteins simultaneously. Although the use of resonance frequency ensures that only misfolded proteins are affected, regardless of whether energy is delivered focally or diffusely, a bulk release of unfolded material could exceed the capacity of lysosomal and proteasomal pathways. This could result in incomplete clearance, potential reaggregation, or unintended inflammatory responses. For this reason, our methodology favors a progressive, spatially controlled stimulation to allow real-time assessment of both protein disruption and the brain’s capacity for cleanup.
It is also crucial to emphasize that not all monomers are pathological; only the misfolded conformers pose a threat. Our technique aims to selectively excite these disease-associated species without disturbing the functional ones, taking advantage of their altered vibrational characteristics.
This multipronged intervention model carries significant therapeutic implications. If the underlying cause of misfolding is a singular initiating event—as suggested by the prion-like propagation theory—then full clearance of misfolded species might interrupt the pathological cycle and potentially constitute a functional cure. In contrast, when misfolding arises from continuous genetic mutations or chronic dysfunction in protein homeostasis, the proposed method could serve as a maintenance therapy. By periodically disrupting and clearing misfolded species, it may help preserve neuronal integrity over time.
Ultimately, this approach integrates targeted disruption with endogenous cleanup mechanisms, offering a non-invasive strategy that shifts the treatment paradigm toward proactive molecular sanitation rather than symptomatic management.

7. Suggested Treatment Development Roadmap

In this section we propose a treatment development Roadmap, for future implementation.

7.1. Stage 1 – Proof of Concept (POC)

The objective of this POC is to demonstrate the feasibility of selectively denaturing misfolded proteins without affecting normal proteins or surrounding tissue.

7.1.1. Task I: Protein Domain Definition

• Define the structural variations of both normal and misfolded versions of alpha-synuclein and Tau proteins that need to be analyzed.
• Establish criteria to classify structural deviations that could influence resonance properties.

7.1.2. Task II: 3D Structure Identification

• Perform a comprehensive search for available 3D structural data of the selected protein variants and their natural vibrational modes.
• If reliable 3D structures are unavailable, use Cryo-EM (Cryogenic Electron Microscopy) to determine their structures.

7.1.3. Task III: Theoretical Natural Vibration Modes Calculation

• For proteins with reliable 3D structures, compute their theoretical natural vibrational modes using techniques such as Normal Mode Analysis (NMA) or Computational Mechanics (CM).[32,33]
• Identify key vibrational patterns that differentiate normal and misfolded proteins.

7.1.4. Task IV: Experimental Validation of Normal Modes

• Use Neutron or Brillouin Scattering or Microwave spectroscopy to determine the natural vibrational frequencies of misfolded and normal proteins, using theoretical calculations as reference.
• Employ neutron scattering spectroscopy to enhance precision in vibrational mode identification, particularly for amyloid structures.
• Compare computational predictions with experimental results to refine the resonance frequency model.

7.1.5. Task V: In Vitro Denaturation Study

• Conduct experiments in vitro under pH and ionic conditions that closely mimic the extracellular environment of the human brain, considering neurochemical shifts typical in individuals over 30-40 years old. Sample preparation may involve post-mortem human brain tissue, patient-derived neuronal cultures, brain organoids, or recombinant misfolded protein aggregates, depending on feasibility and experimental needs.
• Apply High-Intensity Focused Ultrasound (HIFU) or High-Intensity Focused Microwaves (HIFMW) at the experimentally determined frequencies.
• Evaluate the denaturation efficiency of misfolded proteins while ensuring minimal impact on normal proteins and surrounding environments.
• Utilize circular dichroism (CD) spectroscopy and differential scanning calorimetry (DSC) to confirm protein denaturation.
• Perform Western blot analysis and mass spectrometry to verify structural degradation and fragmentation of misfolded proteins.

7.2. Stage 2: Preclinical Animal Studies

Objective: Evaluate the safety and efficacy of the method in living models.
• Development of Specialized Hardware: Customize HIFU and HIFMW devices for testing in living organisms.
• Cell Culture Testing: Monitor the degradation of target proteins and the activation of intracellular clearance pathways (proteasome, autophagy).
• Small Animal Experiments: Use genetically modified mice to model advanced stages of Parkinson’s and Alzheimer’s diseases.
• Thermal Magnetic Resonance Imaging: Measure heat distribution to confirm precise targeting.
• Safety Analysis: Examine potential collateral damage to healthy tissues.
• Parameter Refinement: Adjust frequencies, intensity, and exposure time to optimize selectivity.

7.2.1. Stage 3: Phase 1 Clinical Trials

Objective: Test safety and initial effects in human patients. • Preclinical Regulatory Approval: Submit documentation to regulatory agencies (FDA, ANVISA, EMA).
• Clinical Protocol Development: Define patient inclusion criteria, treatment parameters, and efficacy measurements.
• Trials with Advanced Stage Patients: Focus on patients in advanced stages of Parkinson’s and Alzheimer’s to better observe potential improvements.
• Monitoring of Responses: Use neuroimaging and biomarker tests to assess treatment response.

7.2.2. Stage 4: Phase 2 and 3 Clinical Trials

Objective: Confirm therapeutic efficacy and obtain regulatory approval.
• Large-Scale Trials: Multicenter studies involving hundreds of patients.
• Comparison with Standard Treatments: Assess results against already approved medications.
• Long-Term Monitoring: Evaluate potential adverse effects and the durability of treatment benefits.
• Final Device Optimization: Fine-tune the technology before commercial release.

8. Challenges and Considerations

Identifying resonance frequencies for misfolded protein aggregates in living organisms represents one of the primary challenges. The complex heterogeneous characteristics of biological tissues create obstacles by masking or changing predicted vibrational patterns.
Another critical consideration is safety. It is essential to perform strict evaluations on the outcomes when focused ultrasound or microwave energy is applied at certain frequencies within sensitive brain areas. Research studies need to examine how focused ultrasound or microwave energy affects immediate neuronal operations and structural stability of nearby tissues over extended periods.
The existing HIFU and HIFMW technologies face technical limitations during implementation. Current medical systems require modifications and improvements to reach necessary precision levels that allow selective targeting of harmful protein clusters without affecting other tissues.
A new therapeutic platform will need to undergo regulatory approval processes. Technology must complete extensive testing for efficacy, safety and reproducibility before clinical deployment to meet regulatory standards.
The brain’s protein clearance mechanisms’ origin and capacity represent a particularly complex issue because of existing uncertainties. Our understanding about the brain’s ability to remove denatured proteins remains insufficient which creates significant challenges. Research findings [26] demonstrate that neurodegenerative diseases including Parkinson’s disease likely originate from dysfunctions within autophagic or lysosomal cellular processes. Should the buildup of misfolded proteins result from failing cleanup systems then using these pathways for therapeutic denatured proteins could prove unsuccessful or damaging. When clearance systems are weakened severe disease progression can speed up because of the extra burden they face.
The structural distinction between original protein aggregates and fragments results from mechanically disrupting misfolded proteins at their specific resonance frequencies. Existing cellular mechanisms can more effectively recognize and eliminate breakdown products which include short peptides and free amino acids.
During vibrational disruption two functions might be fulfilled by the thermal energy produced. Not only does vibrational disruption denature toxic protein aggregates but it also activates heat-sensitive cellular clearance pathways including chaperone-mediated autophagy and macroautophagy. Localized thermal stress activates these pathways even though they do not respond exclusively to misfolded proteins. The activation of this mechanism through temperature changes presents a secondary therapeutic opportunity especially for people with proteostasis system impairments.
A major systemic issue develops from recognizing that numerous neurodegenerative diseases share common pathological characteristics. Alpha-synuclein stands out in Parkinson’s disease while tau dominates in Alzheimer’s disease and TDP-43 becomes prominent in amyotrophic lateral sclerosis (ALS). When basic protein degradation failures exist at the core of these diseases they lead to probable multiple or progressive disease presentations. Both clinical evaluations and post-mortem examinations often demonstrate the presence of multiple pathologies in patients. The failure of protein degradation systems appears to be a shared pathological mechanism across different diseases. The development of targeted therapeutic interventions depends heavily on our improved understanding of the brain’s protein clearance networks’ selectivity, capacity, and prioritization mechanisms.

9. Conclusion

The proposed strategy targets neurodegenerative disorders with a non-invasive method that uses High-Intensity Focused Ultrasound (HIFU) or Microwaves (HIFMW) to destroy misfolded protein aggregates through resonance frequency tuning. This technology targets and decomposes harmful proteins through their specific vibrational signatures but leaves healthy proteins and adjacent tissues untouched.
However, this approach faces several relevant challenges. The technical challenge persists in identifying the specific resonance frequencies of pathological protein conformers within complex biological matrices. Therapy effectiveness requires exact energy delivery and depends on the brain’s ability to eliminate generated fragments safely. Many neurodegenerative diseases develop because of fundamental issues in autophagic and lysosomal clearance systems which suggests that the cleanup mechanisms themselves are impaired in patients who require them most.
Despite these challenges, the proposed method introduces a promising shift toward proactive molecular sanitation. We recognize the high-risk, high-reward nature of this strategy and strongly encourage critical evaluation, collaboration, and feedback from the broader scientific community to refine, validate, and realize its clinical potential.

References

  1. Afshari, M.; O’Shea, S.A.; Metman, L.V.; Sani, S. APOE carrier status and cognitive outcomes after STN-DBS surgery for Parkinson’s disease. Park. Relat. Disord. 2025. [Google Scholar]
  2. Agboada, D.; Zhao, Z.; Wischnewski, M. Neuroplastic effects of transcranial alternating current stimulation (tACS): from mechanisms to clinical trials. Front. Hum. Neurosci. 2025. [Google Scholar] [CrossRef]
  3. Bachu, V.S.; Kedda, J.; Suk, I.; Green, J.J.; Tyler, B. High-intensity focused ultrasound: a review of mechanisms and clinical applications. Ann. Biomed. Eng. 2021, 49, 1975–1991. [Google Scholar] [CrossRef]
  4. Bahar, I.; Atilgan, A.R.; Demirel, M.C.; Erman, B. Vibrational dynamics of folded proteins: significance of slow and fast modes in relation to function and stability. Phys. Rev. Lett. 1998, 80, 2733–2736. [Google Scholar] [CrossRef]
  5. Bahar, I.; Atilgan, A.R.; Erman, B. Direct evaluation of thermal fluctuations in proteins using a single-parameter harmonic potential. Fold. Des. 1997, 2, 173–181. [Google Scholar] [CrossRef]
  6. Bahar, I.; Rader, A.J. Coarse-grained normal mode analysis in structural biology. Curr. Opin. Struct. Biol. 2005, 15, 586–592. [Google Scholar] [CrossRef] [PubMed]
  7. Berman, H.M.; Westbrook, J.; Feng, Z.; Gilliland, G.; Bhat, T.N.; Weissig, H.; Shindyalov, I.N.; Bourne, P.E. The Protein Data Bank. Nucleic Acids Research 2000, 28, 235–242. [Google Scholar] [CrossRef] [PubMed]
  8. Birks, J. Cholinesterase inhibitors for Alzheimer’s disease. Cochrane Database of Systematic Reviews 2006, (1), CD005593. [Google Scholar] [CrossRef]
  9. Branden, C.; Tooze, J. Introduction to Protein Structure, 2nd ed.; Garland Science, 1999; ISBN 978-0815323051. [Google Scholar]
  10. Capone, D.; Guerra, A.; Rocchi, L.; Di Lazzaro, V. Using TMS-EEG to assess the effects of neuromodulation techniques: a narrative review. Front. Hum. Neurosci. 2024, 17, 1247104. [Google Scholar] [CrossRef]
  11. Chaudhary, U. Invasive brain stimulation techniques: DBS for neurological and psychiatric disorders. In Foundations of Brain-Computer Interface Technology; Springer, 2025; pp. 101–118. [Google Scholar] [CrossRef]
  12. Ciechanover, A.; Kwon, Y. Degradation of misfolded proteins in neurodegenerative diseases: therapeutic targets and strategies. Exp. Mol. Med. 2015, 47, e147. [Google Scholar] [CrossRef]
  13. Cox, S.S.; Connolly, D.J.; Peng, X.; Badran, B.W. A comprehensive review of low-intensity focused ultrasound parameters and applications in neurologic and psychiatric disorders. Brain Stimulation 2024. [Google Scholar] [CrossRef] [PubMed]
  14. Cummings, J.; Lee, G.; Zhong, K.; Fonseca, J.; Taghva, K. Alzheimer’s disease drug development pipeline. Alzheimer’s & Dementia: Translational Research & Clinical Interventions 2021, 7, e12179. [Google Scholar] [CrossRef]
  15. Cusack, S.; Doster, W. Temperature dependence of the low-frequency dynamics of myoglobin. Nature 1990, 347, 614–617. [Google Scholar] [CrossRef]
  16. Gunawardena, S.; Assaedi, E.; George, T. Modeling dementia in patients with Parkinson’s disease years after deep brain stimulation surgery. Park. Relat. Disord. 2025. [Google Scholar] [CrossRef]
  17. Iaccarino, H.F.; Singer, A.C.; Martorell, A.J.; Rudenko, A.; Gao, F.; Gillingham, T.Z.; et al. Gamma frequency entrainment attenuates amyloid load and modifies microglia activity. Nature 2016, 540, 230–235. [Google Scholar] [CrossRef]
  18. Jumper, J.; Evans, R.; Pritzel, A.; Green, T.; Figurnov, M.; Ronneberger, O.; et al. Highly accurate protein structure prediction with AlphaFold. Nature 2021, 596, 583–589. [Google Scholar] [CrossRef] [PubMed]
  19. Kalia, L.V.; Lang, A.E. Parkinson’s disease. The Lancet 2015, 386, 896–912. [Google Scholar] [CrossRef]
  20. Karplus, M.; McCammon, J.A. Molecular dynamics simulations of biomolecules. Nat. Struct. Biol. 2002, 9, 646–652. [Google Scholar] [CrossRef] [PubMed]
  21. Kruk, D.; Meier, R.; Ratajczak, H.; Zimmermann, H. Microwave dielectric relaxation studies of hydrated proteins. Biochim. Et. Biophys. Acta (BBA) - Proteins Proteom. 2010, 1804, 21–28. [Google Scholar] [CrossRef]
  22. Li, H.; Lantz, R.; Du, D. Vibrational approach to the dynamics and structure of protein amyloids. Molecules 2019, 24, 186. [Google Scholar] [CrossRef]
  23. Lipton, S. Paradigm shift in neuroprotection by NMDA receptor blockade: memantine and beyond. Nat. Rev. Drug. Discov. 2006, 5, 160–170. [Google Scholar] [CrossRef]
  24. Mehta, R.I.; Ranjan, M.; Haut, M.W. Focused ultrasound for neurodegenerative diseases. Magn. Reson. Imaging Clin. North Am. 2024, 32, 101–117. [Google Scholar] [CrossRef]
  25. Mello, J.S.; Bechara, G.I.; Aguiar, P.H.P. Effectiveness of DBS as a treatment for Alzheimer’s disease: meta-analysis. Deep Brain Stimulation 2025, 4, 20–32. [Google Scholar] [CrossRef]
  26. Menzies, F.M.; Fleming, A.; Rubinsztein, D.C. Compromised autophagy and neurodegenerative diseases. Nat. Rev. Neurosci. 2015, 16, 345–357. [Google Scholar] [CrossRef]
  27. Myers, M.H.; Hossain, G. Advances in non-invasive brain stimulation techniques for dementia: comparative perspectives on tDCS, TMS, and LIFU. Front. Neurosci. 2024, 18, 1524097. [Google Scholar] [CrossRef] [PubMed]
  28. Nutt, J.G. Levodopa therapy for Parkinson’s disease: pharmacokinetics and pharmacodynamics. Mov. Disord. 2008, 23(S3), S531–S541. [Google Scholar] [CrossRef]
  29. Panza, F.; Lozupone, M.; Logroscino, G.; Imbimbo, B.P. A critical appraisal of amyloid-beta-targeting therapies for Alzheimer disease. Nat. Rev. Neurol. 2019, 15, 73–88. [Google Scholar] [CrossRef]
  30. Park, K.W.; Baik, K.; Lee, S.; Lee, C.N. MRgFUS pallidothalamic tractotomy following GPi DBS in a patient with refractory hemichorea: a case report. Brain Stimulation 2025, 18, 210–213. [Google Scholar] [CrossRef] [PubMed]
  31. Peng, J.; Han, Y.; Wang, L. Opening neural gateways: old dog now has new tricks in Alzheimer’s neuromodulation. Front. Pharmacol. 2024, 15, 1389383. [Google Scholar] [CrossRef]
  32. Qin, Z.; Buehler, M.J. Analysis of the vibrational and sound spectrum of over 100,000 protein structures and application in sonification. Extrem. Mech. Lett. 2019, 29, 100460. [Google Scholar] [CrossRef] [PubMed]
  33. Qin, Z.; Yu, Q.; Buehler, M.J. Machine learning model for fast prediction of the natural frequencies of protein molecules. RSC Advances 2020, 10, 16607–16615. [Google Scholar] [CrossRef] [PubMed]
  34. Roberts, A.G.; Zhang, J.; Akkus, S.; Romano, D.; Kopell, B.H. Radiomic prediction of Parkinson’s disease deep brain stimulation surgery motor and non-motor outcomes using quantitative susceptibility mapping. ResearchGate Preprint. 2024. Available online: https://www.researchgate.net/publication/388035895.
  35. Sadraeian, M.; Kabakova, I.; Zhou, J.; Jin, D.D. Virus inactivation by matching the vibrational resonance. Appl. Phys. Rev. 2022, 11, 021324. [Google Scholar] [CrossRef]
  36. Salehinejad, M.A.; Glinski, B.; Sharifi, K. Functional connectivity changes following 40 Hz tACS in AD patients: an fMRI study. Brain Stimulation 2025. [Google Scholar] [CrossRef]
  37. Saporito, G. Magnetic resonance imaging-guided focused ultrasound (MRgFUS) for tremor: short- and long-term cognitive outcomes. University of Catania Dissertation Repository. 2024. Available online: https://tesidottorato.depositolegale.it/handle/20.500.14242/180392.
  38. Shah, B.R. When millimeters matter: precision in MR-guided focused ultrasound for Parkinson’s and essential tremor. European Radiology 2024. [Google Scholar] [CrossRef]
  39. Soto, C. Unfolding the role of protein misfolding in neurodegenerative diseases. Nat. Rev. Neurosci. 2003, 4, 49–60. [Google Scholar] [CrossRef]
  40. Wang, N.; Zou, W.; Li, X.; Liang, Y.; Wang, P. Study and application status of the nonthermal effects of microwaves in chemistry and materials science: a brief review. RSC Advances 2022, 12, 17158–17181. [Google Scholar] [CrossRef]
  41. Wu, J.; Cui, X.; Bao, L.; Liu, G.; Wang, X.; Chen, C. A nanoparticle-based wireless deep brain stimulation system that reverses Parkinson’s disease. Sci. Adv. 2025, 11, eado4927. [Google Scholar] [CrossRef]
  42. Zaccai, G. How soft is a protein? A protein dynamics force constant measured by neutron scattering. Science 2000, 288, 1604–1607. [Google Scholar] [CrossRef]
  43. Zadorozhnyi, R.; Gronenborn, A.M.; Polenova, T. Integrative approaches for characterizing protein dynamics: NMR, CryoEM, and computer simulations. Curr. Opin. Struct. Biol. 2024, 84, 102736. [Google Scholar] [CrossRef] [PubMed]
Figure 2. The Cavitation process.Figure extracted/based on Figure 1 of [35].
Figure 2. The Cavitation process.Figure extracted/based on Figure 1 of [35].
Preprints 205564 g002
Figure 3. Ultrasonic inactivation demonstrates high precision by matching viral natural frequencies to mechanically disrupt their structures. The sonomechanical effects, without cavitation, and low-frequency ultrasound irradiation modes are illustrated here using the SARS-CoV-2 spike and shell as an airborne virus model. The Cavitation Process. Figure extracted/based on Figure 3 of [35]
Figure 3. Ultrasonic inactivation demonstrates high precision by matching viral natural frequencies to mechanically disrupt their structures. The sonomechanical effects, without cavitation, and low-frequency ultrasound irradiation modes are illustrated here using the SARS-CoV-2 spike and shell as an airborne virus model. The Cavitation Process. Figure extracted/based on Figure 3 of [35]
Preprints 205564 g003
Figure 4. (A) Apply an Ultrasonic or a Microwave bath matching the misfolded protein resonance frequency. (B) All the misfolded proteins forms, including alfa-syn oligomer or alpha syn fibril aggregates will vibrate mechanically denaturing the misfolded proteins and generating a small amount of heat. (C) The produced heat will activate the CMA process to clean up the denatured proteins. (D) Removing the misfolded proteins should allow the neurons to return to normal operation decreasing the symptoms. Figure inspired on Fig 6 of [41]
Figure 4. (A) Apply an Ultrasonic or a Microwave bath matching the misfolded protein resonance frequency. (B) All the misfolded proteins forms, including alfa-syn oligomer or alpha syn fibril aggregates will vibrate mechanically denaturing the misfolded proteins and generating a small amount of heat. (C) The produced heat will activate the CMA process to clean up the denatured proteins. (D) Removing the misfolded proteins should allow the neurons to return to normal operation decreasing the symptoms. Figure inspired on Fig 6 of [41]
Preprints 205564 g004
Disclaimer/Publisher’s Note: The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of MDPI and/or the editor(s). MDPI and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content.
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
Prerpints.org logo

Preprints.org is a free preprint server supported by MDPI in Basel, Switzerland.

Subscribe

Disclaimer

Terms of Use

Privacy Policy

Privacy Settings

© 2026 MDPI (Basel, Switzerland) unless otherwise stated