Preprint
Review

Personalized Plasma Medicine for Cancer: Transforming Treatment Strategies with Mathematical Modeling and AI Algorithms

Altmetrics

Downloads

311

Views

182

Comments

0

This version is not peer-reviewed

Submitted:

18 August 2023

Posted:

22 August 2023

Read the latest preprint version here

Alerts
Abstract
Plasma technology shows tremendous potential for revolutionizing oncology research and treatment. Reactive oxygen and nitrogen species, electromagnetic emissions generated through gas plasma jets, have attracted significant attention due to their selective cytotoxicity towards cancer cells. To leverage the full potential of plasma medicine, researchers have explored the use of mathematical models and various subsets of machine learning, such as reinforcement learning, and deep learning. This review emphasizes the significant application of AI algorithms in the adaptive plasma system, paving the way for precision and dynamic cancer treatment. Realizing the full potential of AI in plasma medicine, requires research efforts, data sharing and interdisciplinary collaborations. Unravelling the complex mechanisms, developing real-time diagnostics, and optimizing AI models will be crucial to harness the true power of plasma technology in oncology. The integration of personalized and dynamic plasma therapies, alongside AI and diagnostic sensors, presents a transformative approach to cancer treatment with the potential to improve outcomes globally.
Keywords: 
Subject: Biology and Life Sciences  -   Life Sciences

Graphical Abstract

Preprints 82786 i001

1. Introduction

Plasma technology, rapidly emerging field at the intersection of plasma physics and medicine holds immense potential for biomedical applications [1,2]. Plasma, known as the fourth state of matter is typically formed by heating gas such as inert gases like argon or helium, or air. When heated, the high-speed electrons collide with atoms or molecules causing the removal of electrons and generating highly reactive positive and negative ions. These ions are conductive and can oscillate in response to electric and magnetic fields. The oscillations can give rise to emission of various electromagnetic waves [3]. Additionally, there are also low energy electrons that can only excite particles without causing ionization. These excited particles release energy in the form of photons. Plasma or ionized gas, is a complex mixture comprising electrons, positively and negatively charged ions, radicals, neutral atoms and molecules, atoms at excited state, electromagnetic waves, and electromagnetic fields [4]. The degree of ionization and the specific composition of plasma is dependent on factors such as temperature, pressure, energy supply, nature of the gas, electron density ranges, the devise used and operational conditions utilized to generate the plasma [5,6].
The most common type of low temperature atmospheric pressure plasma is the cold atmospheric plasma jets (CAPJ) has been well established in the field of biology and medicine [7,8]. It has shown great potential for numerous biomedical applications including wound healing [9,10] and skin rejuvenation in dermatology, decontamination, and sterilization [11, 12] biofilm removal [13] in health care-hygiene, periodontal treatment [14], root canal disinfection and tooth bleaching in dental and hygiene [15], surface modifications of orthopedic materials [16]. Furthermore, CAP has demonstrated promising effects in antitumor immunity [17,18] and cancer/tumor therapies [19,20] within the field of oncology.
Atmospheric plasma, can self-organize into different patterns with modified plasma compositions in response to various operational parameters and interactions with the target environment [21-22]. This transition from spatially homogeneous state to self-organized patterns in response to various parameters like discharge voltage [23], electrical permittivity of target cells [24] can play an important role in the therapeutic outcome of plasma treatment for cancer [22]. Self-organization might allow an adaptive and self-adaptive plasma system that can dynamically adjust and optimize plasma treatment conditions based on real-time feedback [25]. It aims to maximize the therapeutics on cancer cells while ensuring safety and efficacy.
This review focuses specifically on the recent prominence of cold atmospheric plasma (CAP) in the field of oncology, with special emphasis on the application of various mathematical models and artificial intelligence (AI) algorithms. CAP's potential to revolutionize cancer treatment is explored in this review, drawing attention to its unique adaptive and self-adaptive characteristics and the role of mathematical modelling and advanced algorithms in advancing its application in precision medicine.

2. Mathematical models for CAP treatment response in cancer

In cancer research, mathematical modeling plays a pivotal role in comprehending the intricate dynamics of cancer in response to various treatments [26,27]. It complements cancer research by providing valuable quantitative predictions to unravel the complexity of cancer and open new avenues for developing effective treatments [28]. For instance, a mathematical model of tumor growth and its response to CAP treatment/chemotherapy/radiotherapy might predict the rate at which the tumor size changes over time, the dosage of plasma/drug/radiation in the tumor cells, or the percentage of tumor cells that develop resistance to a treatment. These predictions can then be compared to the actual data collected from the experiments or clinical studies to assess the accuracy and validity of the model. The number of mathematical models developed for various cancer treatment approaches is increasing [29,30-32] (Figure 1).
These treatment response models have been developed to predict response of cancer cells to different treatment strategies [33-34]. Additionally, these models aim to optimize treatment schedules by identifying optimal and combination regimens, thus improving treatment outcomes [35,36,37]. Several mathematical models have been validated in preclinical studies and trials, demonstrating their potential in designing successful clinical trials [38,39,40,41,42,43,44]. Leder et al. [45] and Dean et al. [44] developed a novel radiation therapy schedule based on mathematical modeling, which improved survival in preclinical trials using mouse models of glioblastoma (GBM). They then tested this schedule in a clinical trial on recurrent GBM patients, successfully demonstrating its feasibility and safety. While the results suggest improved tumor control, larger trials are needed to confirm its efficacy. These findings highlight the utility of mathematical modeling in optimizing treatment strategies for cancer and provide valuable insights for potential clinical applications.
After the proposal of adaptive and self-adaptive plasma [46,47], an experimental growth model was developed [48] to predict the dynamic response of cancer cells (U-87 MG and MDA-MB-231) to gas plasma treatment [23]. The model successfully captured the response of cancer cells (cell viability data obtained from the luminescence assay) to variations in treatment duration and plasma discharge voltage. The real-time luminescent signals can serve as the feedback signal. Model Predictive Control (MPC), an advanced control algorithm was used to optimize the treatment parameters (treatment duration and plasma discharge voltage) for CAP treatment to minimize cancer cell viability. The optimization is done using the mathematical model of cancer cell response to CAP treatment, and MPC continuously adjusts the treatment parameters based on real-time feedback to achieve the desired treatment outcome.
In recent studies, indirect treatment using plasma treated liquids (PTLs) [49,50] or plasma treated hydrogels (PTHs) [51] has shown enhanced cytotoxicity and anticancer immune responses, attributed to the long-lived reactive oxygen and nitrogen species (RONS) such as H2O2, NO2, NO3 [52]. These treatments have demonstrated greater effectiveness than direct plasma treatment [53,54,55,56,57]. However, despite their advantages, concerns regarding the lack of consistent molecular-level analysis and precise control over their chemical compositions have been raised, limiting their clinical suitability. Bengston and Bogaerts [58,59] developed a predictive model specifically focused on the kinetics of H2O2, NO2 in PTLs treatment, considering their interactions with cancer cells and the role of catalase, an enzyme that regulates H2O2 concentration (Table 1).
Translating mathematical modeling into clinical reality presents several challenges, including model uncertainty, the complexity of tumor biology, variations in experimental conditions and biological system measures, data sparsity, external disturbances, logistical constraints in treatment administrations, patient-specific factors, variability in the tumor microenvironment, and patient medications [64]. However, to achieve reliable and translational predictions, a systematic and rigorous approach needs to be followed [65]. AI models can significantly improvise mathematical models by enhancing prediction accuracy, automates feature engineering, handles non-linear relationships, deals with noisy, incomplete data, enables real-time adaptability and incorporation of heterogenous data types [66].

3. AI for CAP treatment response in cancer

Artificial intelligence (AI) is about creating “thinking machines” that can make decisions on their own. Machine learning (ML) is the subset of AI that aims at creating “learning machines” in which machines/tools learn from data and perform tasks without explicit programing [67]. Constructing an AI model requires the integration of mathematical models and ML algorithms. Not all mathematical models are ML algorithms but all ML algorithms are mathematical models. A tutorial review on widely used ML methods that can help in discovering patterns and relationships in datasets that may be challenging for human intuition are well described by Bonzanini et al. [68].
Evolution of AI with medicine, particularly with the integration of ML has opened new possibilities in all aspects of oncology, from improving diagnostics to personalized cancer treatment and improved patient care in the ever-evolving health care landscape [69,70,71,72,73,74,75,76,77,78]. Although ML has been applied in various treatment approaches in cancer medicine, its use in plasma medicine is relatively limited (Figure 2). The potential of ML in accelerating plasma research towards personalized cancer treatment is well discussed [78,79,80,81].

3.1. Reinforcement learning

In machine learning (ML), algorithms are exposed to large datasets containing relevant information, such as input features (e.g., varying operational parameters of the adaptive plasma system) and target labels (e.g., treatment responses by the cancer cells). The objective is to analyze the datasets, identify patterns and relationships between input features and target labels, and adjust the internal parameters of the model algorithm iteratively to improve its predictive accuracy (e.g., optimizing parameters in the adaptive plasma system for selective cytotoxicity towards cancer cells). The goal is to minimize the difference between the model's predictions and the actual outputs during training, making the model "trained" and capable of making accurate predictions.
Different ML algorithms such as reinforcement learning (RL) and deep learning (DL) have different approaches to update their parameters during training. For example, in RL process, the agent (adaptive plasma system) learns, gets trained and improves its behavior in an environment (cancer cells) through its interaction experience [83]. It takes actions, receives feedback in the form of rewards and penalties based on the effectiveness of its treatment strategies, and uses this feedback to update its internal parameters and improve its decision-making. The system aims to find an optimal strategy that maximizes the cumulative reward it receives.
Hou et al. [80], developed an adaptive plasma framework for CAP cancer treatments using integration of empirical dynamic modeling and reinforcement learning. The empirical dynamic model was constructed using data collected from in vitro experiments [23] that provided information on how cancer cell viability changes over time under various CAP treatment conditions (eg. treatment duration from 0 to 180 seconds, and the discharge voltage between 3.16 kV and 3.71 kV). The empirical data obtained from in vitro experiments may represent specific scenarios and treatment conditions. To estimate for a wide range of treatment scenarios, a Gaussian process, a type of statistical modeling tool, that helps the model to capture the variability and uncertainty inherent in real-world clinical settings was incorporated. The CAP cancer treatment was then modelled as a Markov decision process (MDP) and conjugated with safe Q-learning. The MDP represents the sequence of states and actions in the treatment process. Each state corresponds to a specific situation or condition of the cancer cells (eg. cancer cell viability) and each action represents a treatment strategy that the adaptive plasma system can take (eg. treatment duration, discharge voltage). MDP helps in defining the states, actions, and transition probabilities in the treatment process, but it does not inherently provide the optimal policy for selecting actions that lead to the best long-term rewards. Q-learning, a specific algorithm designed for reinforcement learning tasks [84], helps the adaptive plasma system to learn from its interactions with the environment and update its decision-making process by estimating the expected cumulative rewards for different actions in different states. This enables the system to make better decisions and optimize the treatment plan to achieve safer and more personalized cancer treatment (Figure 3).
Despite its limitations in capturing all treatment scenarios, handling higher-dimensional inputs, ensuring complete safety, and requires in vivo validation, further research, and advancements in real-time diagnostics in vivo, deep learning and clinical experiments can address some of these limitations and enhance the model's performance and safety in clinical applications.

3.2. Gaussian process

Lin et al. [62] used Model Predictive Learning Control (MPLC), an extension of MPC that incorporates machine learning techniques for improved performance and adaptation. While MPC typically uses a fixed mathematical model and optimization algorithm-based control strategy [48], MPLC integrates machine learning models to capture system dynamics and adapt the control strategy based on real-time data. In the study, MPLC is implemented by using Gaussian Process (GP) regression, a statistical machine learning technique, to model the dynamic behavior of cancer cell viability in response to CAP treatment. The GP model is continuously updated with real-time feedback from the actual cancer cell responses, measured using real-time electrochemical impedance spectroscopy (EIS), after each treatment. This real-time feedback enables the MPLC algorithm to adapt and improve its predictions and treatment plans over time (Figure 4).
By dynamically adjusting the plasma treatment parameters based on actual system responses, the self-adaptive plasma jet can optimize its treatment strategy for a wide range of biomedical applications and variations in the system. This adaptive approach enhances the effectiveness and efficiency of the CAP treatment, making it more adaptable to different situations and treatment objectives. The integration of machine learning with control algorithms allows the system to learn from data and refine its decisions, leading to more robust and successful treatments.
Despite the promising potential of the model, it faces challenges such as data noise and uncertainty, computational complexity, and optimization difficulties. To address these challenges, researchers can employ strategies such as data preprocessing, uncertainty estimation, approximation techniques, parallel computing, advanced optimization algorithms.

3.3. Deep learning

Deep learning uses artificial neural networks (ANNs) with multiple layers (deep neural networks) to make predictions from the labeled data (for instance real-time spectra from Optical Emission Spectroscopy). The self-adaptive plasma system empowered with AI holds great promise for advancing precision medicine and improving cancer treatment outcomes [85]. The self-adaptive plasma system is a plasma control system that can dynamically and autonomously diagnose plasma chemistry, adjust its operating parameters (eg. Gas and power inputs) to control and optimize plasma chemical composition in real-time according to the required species/dosage to kill cancer cells. This system typically employs artificial neural networks and Gradual-Mutation algorithms (GMA), to continuously monitor, analyze the datasets, control, and optimize plasma chemistry and thus make real-time decisions on how to modify the plasma conditions. The real-time spectra of plasma chemical composition and temperatures are obtained using spontaneous emission spectroscopy and processed by a diagnostic ANN. The diagnostic ANN provides valuable outputs on plasma chemistry, which are then used by a control ANN as inputs to adjust plasma parameters like gas injections and energy levels. The control ANN is trained by GMA to adjust the production of specific RONS associated with apoptosis of cancer cells. It receives feedback from the diagnostic ANN and dynamically adjusts the gas and power inputs to optimize the concentration of these species using in the plasma. GMA is used to train both the diagnostic and control ANNs effectively, allowing the self-adaptive plasma system to diagnose, control and optimize the plasma chemistry in real-time based on the OES data and specific objectives. Such an AI empowered self-adaptive plasma system allows for personalized treatments tailored to the specific characteristics of the patient's cancer
The integration of diagnostic ANN, chemical process network (CPN), and control ANN creates an adaptive and intelligent system for effective and personalized cancer treatment [86] (Figure 5).
AI-driven gas plasma can continuously learn from treatment outcomes, adapt to changing conditions, and optimize treatment plans. This personalized and dynamic approach has the potential to improve the efficacy of cancer therapies, reduce side effects, and advance precision medicine. The combination of self-adaptive gas plasma with AI technologies has the potential to revolutionize cancer treatment, making it more personalized, efficient, and adaptable to individual patients' needs. This research area holds promise for high-impact advancements in cancer therapy and precision medicine.
The models mentioned above have shown substantial advancements in optimizing treatment strategies for safer and personalized cancer treatment. Their current usage primarily remains limited to research-oriented formats, impeding their practical implementation in real-world clinical settings. However, for these models to be deployed in clinical practice, they must undergo rigorous validation testing, including clinical trials and regulatory approval. As artificial intelligence gains broader acceptance in clinical applications, we foresee the imminent emergence of an artificial intelligence-driven adaptive plasma system for personalized cancer treatment, revolutionizing medical practice and paving the way for transformative advancements in oncology.

4. AI in Real-Time diagnostics

To exploit the adaptive and self-adaptive properties of CAP in developing personalized treatment protocols, it is important to estimate the operational parameters of the CAP sources and measure the cell response to CAP treatment in real-time.

4.1. Real-time diagnosis of operational parameters of CAP sources

Traditional diagnostics (eg. Laser induced fluorescence, mass spectrometry, spontaneous Raman scattering) of the different operational parameters of CAP sources are complex and expensive requiring sophisticated instrumentation setups and specialized analysis making them impractical for real-time use [87,69] and makes it challenging to control the plasma consistently and effectively. Using information-rich datasets collected from simpler diagnostic methods like optical emission spectroscopy (OES) [88], electro-acoustic emission and enabling fast, automated data processing and analysis using AI algorithms in real-time monitoring and control, improves the feedback control, ensuring effective and optimal performance of CAP sources [69,87]. Simulated data [89,90], although not capturing all the complexities in real-world scenarios, complements real data by providing a controlled environment for analysis and experimentation.
Analysis of the datasets manually with traditional methods can be challenging due to complex relations and patterns in the data. ML algorithms and other AI algorithms (Table 2) are designed to handle such complexity and can identify patterns and trends that may not be apparent to human analysis [68].
ML algorithms can be trained on the operational parameters and their corresponding data, allowing them to learn and generalize their knowledge for making predictions on new, unseen data. As new data is received the algorithms rapidly process and analyze data, enabling quick estimation of critical operational parameters from the spectral data or other input data in real-time. ML offers promising solutions by developing input-output models that enable real-time computations allowing for more advanced feedback control strategies [81,97]. Building multivariable non-linear prediction models to describe the intricate behavior of CAP interacting with cancer cells are essential for guiding efficient cancer treatment strategies [86]. AI models can thus be used for real-time monitoring and diagnostics [87,91,92,93], detecting any deviations from the normal behavior [94,95,98], and predicting when maintenance or adjustment is required [85] for maintaining optimal real-time control of the operational parameters. Thus, AI based approaches, specifically ML can significantly improve the reliability and performance of CAP by adapting to dynamic and uncertain environments.

4.2. Real-time diagnosis of the cell responses to CAP treatment

Collecting real-time data on cancer cell responses to different CAP treatment modalities is challenging. Studies discussed in section 3.1 and 3.2 have utilized real-time EIS measurements [62,80] (Table 3) and has focused on incorporating automated feedback control systems into adaptive plasma system to optimize performance and safety (Figure 6).
Yet, advanced real-time diagnostic systems are still needed to provide sensitive, accurate, and reproducible data for these feedback control systems. To achieve optimal results, sophisticated diagnostic systems with high sensitivity, accuracy, and reproducibility are imperative. These systems should seamlessly integrate with the biological target and have minimal interference with the plasma treatment process. By fulfilling these criteria, the feedback control loop can make well-informed and precise adjustments, optimizing treatment outcomes for diverse cancer cells and individual patients [100].
Developing electronic and optical sensors suitable for addressing this technological gap and to integrate these sensors into autonomous plasma systems must be focused. Bridging this gap could lead to the development of next-generation medical plasma technologies, offering superior healthcare outcomes.
The applications of ML in modeling and simulating different aspects of CAP processing are well reviewed by Treischmann et al. [101]. Future advancements for CAP modelling and simulation promises precise control, pattern discovery, and transformative insights, advancing plasma science and technology. Open data access and collaboration are pivotal for breakthroughs [68,101].

5. Conclusions

Cancer is a challenging disease to treat due to its complexity, heterogeneity, invasion (metastasis), and resistance to treatments. The intricate nature of cancer manifests in the variability of responses to therapies among patients owing to the individualized genetic makeup and biological characteristics of their tumors. This necessitates tailored treatment approaches to optimize the chances of successful outcomes [102,103]. To achieve personalized treatment, with CAP is emerging as a promising approach as the parameters of the plasma device can be fine-tuned during the treatment to suit the patient’s specific dosage. CAP has shown to reprogram the tumor microenvironment [104] inhibiting tumor growth with high selectivity and even enhancing the effectiveness of other treatment modalities like chemotherapy, radiotherapy, immunotherapy, and nanomedicine with improved treatment outcomes and minimized side-effects [17,105,106,107,108]. The self-adaptive nature of the adaptive plasma system complements the power of AI. As CAP devices can dynamically adjust treatment parameters during the therapy session, they can respond to real-time changes in tumor characteristics or patient physiology. AI-driven feedback loops can enhance this self-adaptation, ensuring that CAP treatment remains optimized and effective throughout the course of therapy, making it a promising avenue for achieving optimal treatment outcomes in personalized cancer care.
Better cross-disciplinary collaboration with plasma physicists, mathematicians, AI engineers, data scientist, oncologists, and clinicians can make these effective proposals achieve in the future that can be tailored towards personalized cancer treatment strategy. Advancing diagnostic tools, exploring new combination treatment strategies with CAP treatment, and modeling with AI will pave the way for more precise and personalized plasma-based therapies. AI is transforming plasma medicine, improving treatments with precise models, data analysis, real-time diagnostics, and protocols, despite ethical and transparency concerns [108]. The ongoing advancements at the frontiers of plasma technology in oncology are poised to revolutionize cancer treatment paradigms, providing new hope and improved outcomes for cancer patients worldwide. With continued efforts and interdisciplinary cooperation, plasma technology holds the potential to become an indispensable asset in the fight against cancer.

Funding

This research received no external funding.

Institutional Review Board Statement

Not applicable.

Informed Consent Statement

Not applicable.

Data Availability Statement

Not applicable.

Conflicts of Interest

The authors declare no conflict of interest.

References

  1. Laroussi, M.; Bekeschus, S.; Keidar, M.; Bogaerts, A.; Fridman, A.; Lu, X.; Ostrikov, K.; Hori, M.; Stapelmann, K.; Miller, V.; Reuter, S.; Laux, C.; Mesbah, A.; Walsh, J.; Jiang, C.; Thagard, S. M.; Tanaka, H.; Liu, D.; Yan, D.; Yusupov, M. Low-Temperature Plasma for Biology, Hygiene, and Medicine: Perspective and Roadmap. IEEE Trans. Radiat. Plasma Med. Sci. 2022, 6(2), 127–157. [Google Scholar] [CrossRef]
  2. Keidar, M. Plasma Cancer Therapy, 1st ed.; Keidar, M., Ed.; Springer: Cham, 2020. [Google Scholar] [CrossRef]
  3. Yan, D.; Wang, Q.; Adhikari, M.; Malyavko, A.; Lin, L.; Zolotukhin, D. B.; Yao, X.; Kirschner, M.; Sherman, J. H.; Keidar, M. A Physically Triggered Cell Death via Transbarrier Cold Atmospheric Plasma Cancer Treatment. ACS Appl. Mater. Interfaces 2020, 12(31), 34548–34563. [Google Scholar] [CrossRef]
  4. Keidar, M. Plasma for Cancer Treatment. Plasma Sources Sci. Technol. 2015, 24(3), 033001. [Google Scholar] [CrossRef]
  5. Suenaga, Y.; Takamatsu, T.; Aizawa, T.; Moriya, S.; Matsumura, Y.; Iwasawa, A.; Okino, A. Influence of Controlling Plasma Gas Species and Temperature on Reactive Species and Bactericidal Effect of the Plasma. Appl. Sci. 2021, 11(24), 11674. [Google Scholar] [CrossRef]
  6. Feibel, D.; Golda, J.; Held, J.; Awakowicz, P.; Schulz-von der Gathen, V.; Suschek, C. V.; Opländer, C.; Jansen, F. Gas Flow-Dependent Modification of Plasma Chemistry in ΜAPP Jet-Generated Cold Atmospheric Plasma and Its Impact on Human Skin Fibroblasts. Biomed. 2023, 11(5), 1242. [Google Scholar] [CrossRef] [PubMed]
  7. Lin, L.; Keidar, M. A Map of Control for Cold Atmospheric Plasma Jets: From Physical Mechanisms to Optimizations. Appl. Phys. Rev. [CrossRef]
  8. Yan, D.; Malyavko, A.; Wang, Q.; Lin, L.; Sherman, J. H.; Keidar, M. Cold Atmospheric Plasma Cancer Treatment, a Critical Review. Appl. Sci. 2021, 11(16), 7757. [Google Scholar] [CrossRef]
  9. Jung, J. M.; Yoon, H. K.; Jung, C. J.; Jo, S. Y.; Hwang, S. G.; Lee, H. J.; Lee, W. J.; Chang, S. E.; Won, C. H. Cold Plasma Treatment Promotes Full-Thickness Healing of Skin Wounds in Murine Models. Int. J. Low. Extrem. Wounds 2023, 22(1), 77–84. [Google Scholar] [CrossRef]
  10. Rached, N. A.; Kley, S.; Storck, M.; Meyer, T.; Stücker, M. Cold Plasma Therapy in Chronic Wounds—A Multicenter, Randomized Controlled Clinical Trial (Plasma on Chronic Wounds for Epidermal Regeneration Study): Preliminary Results. J. Clin. Med. 2023, 12(15), 5121. [Google Scholar] [CrossRef]
  11. Muto, R.; Hayashi, N. Sterilization Characteristics of Narrow Tubing by Nitrogen Oxides Generated in Atmospheric Pressure Air Plasma. Sci. Rep. [CrossRef]
  12. Masood, A.; Ahmed, N.; Razip Wee, M. F. M.; Patra, A.; Mahmoudi, E.; Siow, K. S. Atmospheric Pressure Plasma Polymerisation of D-Limonene and Its Antimicrobial Activity. Polymers, 2023. [Google Scholar] [CrossRef]
  13. Matthes, R.; Jablonowski, L.; Miebach, L.; Pitchika, V.; Holtfreter, B.; Eberhard, C.; Seifert, L.; Gerling, T.; Schlüter, R.; Kocher, T.; Bekeschus, S. In-Vitro Biofilm Removal Efficacy Using Water Jet in Combination with Cold Plasma Technology on Dental Titanium Implants. Int. J. Mol. Sci. 2023, 24(2), 1606. [Google Scholar] [CrossRef]
  14. Liu, Z.; Du, X.; Xu, L.; Shi, Q.; Tang, X.; Cao, Y.; Song, K. The Therapeutic Perspective of Cold Atmospheric Plasma in Periodontal Disease. Oral Dis. 2023. [CrossRef]
  15. Lata, S.; Chakravorty, S.; Mitra, T.; Pradhan, P. K.; Mohanty, S.; Patel, P.; Jha, E.; Panda, P. K.; Verma, S. K.; Suar, M. Aurora Borealis in Dentistry: The Applications of Cold Plasma in Biomedicine. Mater. Today Bio. 2022, 13, 100200. [Google Scholar] [CrossRef]
  16. Nonnenmacher, L.; Fischer, M.; Haralambiev, L.; Bekeschus, S.; Schulze, F.; Wassilew, G. I.; Schoon, J.; Reichert, J. C. Orthopaedic Applications of Cold Physical Plasma. EFORT Open Rev. 2023, 8(6), 409–423. [Google Scholar] [CrossRef]
  17. Živanić, M.; Espona-Noguera, A.; Lin, A.; Canal, C. Current State of Cold Atmospheric Plasma and Cancer-Immunity Cycle: Therapeutic Relevance and Overcoming Clinical Limitations Using Hydrogels. Adv. Sci. 2023, 10(8), 2205803. [Google Scholar] [CrossRef]
  18. Förster, S.; Niu, Y.; Eggers, B.; Nokhbehsaim, M.; Kramer, F. J.; Bekeschus, S.; Mustea, A.; Stope, M. B. Modulation of the Tumor-Associated Immuno-Environment by Non-Invasive Physical Plasma. Cancers, 2023. [Google Scholar] [CrossRef]
  19. Chupradit, S.; Widjaja, G.; Radhi Majeed, B.; Kuznetsova, M.; Ansari, M. J.; Suksatan, W.; Turki Jalil, A.; Ghazi Esfahani, B. Recent Advances in Cold Atmospheric Plasma (CAP) for Breast Cancer Therapy. Cell Biol. Int. 2023, 47(2), 327–340. [Google Scholar] [CrossRef] [PubMed]
  20. Limanowski, R.; Yan, D.; Li, L.; Keidar, M. Preclinical Cold Atmospheric Plasma Cancer Treatment. Cancers 2022, 14(14), 3461. [Google Scholar] [CrossRef] [PubMed]
  21. Trelles, J. P. Pattern Formation and Self-Organization in Plasmas Interacting with Surfaces. J. Phys. D. Appl. Phys. 2016, 49(39), 393002. [Google Scholar] [CrossRef]
  22. Keidar, M. A Prospectus on Innovations in the Plasma Treatment of Cancer. Phys. Plasmas 2018, 25(8), 83504. [Google Scholar] [CrossRef]
  23. Gjika, E.; Pal-Ghosh, S.; Tang, A.; Kirschner, M.; Tadvalkar, G.; Canady, J.; Stepp, M. A.; Keidar, M. Adaptation of Operational Parameters of Cold Atmospheric Plasma for in vitro Treatment of Cancer Cells. ACS Appl. Mater. Interfaces 2018, 10(11), 9269–9279. [Google Scholar] [CrossRef]
  24. Martinez, L.; Dhruv, A.; Balaras, E.; Keidar, M.; Martinez, L.; Dhruv, A.; Balaras, E.; Keidar, M. On Self Organization: Model for Ionization Wave Propagation with Targets of Varying Electrical Properties. PSST 2022, 31(3), 035004. [Google Scholar] [CrossRef]
  25. Keidar,M. Adaptive and Self-Adaptive Plasma Cancer Therapeutic Platform. US patent, 11517366, 2022.
  26. Brady, R.; Enderling, H. Mathematical Models of Cancer: When to Predict Novel Therapies, and When Not To. Bull. Math. Biol. 2019, 81(10), 3722–3731. [Google Scholar] [CrossRef]
  27. Belkhir, S.; Thomas, F.; Roche, B. Darwinian Approaches for Cancer Treatment: Benefits of Mathematical Modeling. Cancers, 2021. [Google Scholar] [CrossRef]
  28. Altrock, P. M.; Liu, L. L.; Michor, F. The Mathematics of Cancer: Integrating Quantitative Models. Nat. Rev. Cancer 2015, 15(12), 730–745. [Google Scholar] [CrossRef]
  29. Bull, J. A.; Byrne, H. M. The Hallmarks of Mathematical Oncology. Proc. IEEE. 2022, 110(5), 523–540. [Google Scholar] [CrossRef]
  30. Farayola,F. M.; Shafie, S.; Siam, F. M.; Mahmud, R.; Ajadi, S. O. Mathematical Modeling of Cancer Treatments with Fractional Derivatives: An Overview. Mal J Fund Appl Sci, 2021, 17, 389–401. [Google Scholar] [CrossRef]
  31. Murphy, W.; Carroll, C.; Keidar, M. Simulation of the Effect of Plasma Species on Tumor Growth and Apoptosis. J. Phys. D. Appl. Phys. 2014, 47(47), 472001. [Google Scholar] [CrossRef]
  32. Ryser, M. D.; Komarova, S. V. Mathematical Modeling of Cancer Metastases. Comp. Bioeng. [CrossRef]
  33. Chamani, F.; Pyle, M. M.; Shrestha, T. B.; Sebek, J.; Bossmann, S. H.; Basel, M. T.; Sheth, R. A.; Prakash, P. In Vitro Measurement and Mathematical Modeling of Thermally-Induced Injury in Pancreatic Cancer Cells. Cancers (Basel). 2023, 15(3), 655. [Google Scholar] [CrossRef]
  34. Engeland, C. E.; Heidbuechel, J. P. W.; Araujo, R. P.; Jenner, A. L. Improving Immunovirotherapies: The Intersection of Mathematical Modelling and Experiments. ImmunoInformatics 2022, 6, 100011. [Google Scholar] [CrossRef]
  35. Hormuth, D. A.; Farhat, M.; Christenson, C.; Curl, B.; Chad Quarles, C.; Chung, C.; Yankeelov, T. E. Opportunities for Improving Brain Cancer Treatment Outcomes through Imaging-Based Mathematical Modeling of the Delivery of Radiotherapy and Immunotherapy. Adv. Drug Deliv. Rev. 2022. [CrossRef]
  36. Wei, H. C. Mathematical Modeling of Tumor Growth and Treatment: Triple Negative Breast Cancer. Math. Comput. Simul. 2023, 204, 645–659. [Google Scholar] [CrossRef]
  37. Gatenby, R. A.; Silva, A. S.; Gillies, R. J.; Frieden, B. R. Adaptive Therapy. Cancer Res. 2009, 69(11), 4894–4903. [Google Scholar] [CrossRef]
  38. Elharrar, X.; Barbolosi, D.; Ciccolini, J.; Meille, C.; Faivre, C.; Lacarelle, B.; André, N.; Barlesi, F. A Phase Ia/Ib Clinical Trial of Metronomic Chemotherapy Based on a Mathematical Model of Oral Vinorelbine in Metastatic Non-Small Cell Lung Cancer and Malignant Pleural Mesothelioma: Rationale and Study Protocol. BMC Cancer. [CrossRef]
  39. Smalley, I.; Kim, E.; Li, J.; Spence, P.; Wyatt, C. J.; Eroglu, Z.; Sondak, V. K.; Messina, J. L.; Babacan, N. A.; Maria-Engler, S. S.; De Armas, L.; Williams, S. L.; Gatenby, R. A.; Chen, Y. A.; Anderson, A. R. A.; Smalley, K. S. M. Leveraging Transcriptional Dynamics to Improve BRAF Inhibitor Responses in Melanoma. EBioMedicine 2019, 48, 178–190. [Google Scholar] [CrossRef]
  40. Guerreiro, N.; Jullion, A.; Ferretti, S.; Fabre, C.; Meille, C. Translational Modeling of Anticancer Efficacy to Predict Clinical Outcomes in a First-in-Human Phase 1 Study of MDM2 Inhibitor HDM201. AAPS J. 2021, 23(2), 1–17. [Google Scholar] [CrossRef] [PubMed]
  41. Brüningk, S. C.; Peacock, J.; Whelan, C. J.; Brady-Nicholls, R.; Yu, H. H. M.; Sahebjam, S.; Enderling, H. Intermittent Radiotherapy as Alternative Treatment for Recurrent High Grade Glioma: A Modeling Study Based on Longitudinal Tumor Measurements. Sci. Rep. [CrossRef]
  42. Mathur, D.; Barnett, E.; Scher, H. I.; Xavier, J. B. Optimizing the Future: How Mathematical Models Inform Treatment Schedules for Cancer. Trends Cancer 2022, 8(6), 506. [Google Scholar] [CrossRef] [PubMed]
  43. Dean, J. A.; Tanguturi, S. K.; Cagney, D.; Shin, K. Y.; Youssef, G.; Aizer, A.; Rahman, R.; Hammoudeh, L.; Reardon, D.; Lee, E.; Dietrich, J.; Tamura, K.; Aoyagi, M.; Wickersham, L.; Wen, P. Y.; Catalano, P.; Haas-Kogan, D.; Alexander, B. M.; Michor, F. Phase I Study of a Novel Glioblastoma Radiation Therapy Schedule Exploiting Cell-State Plasticity. Neuro. Oncol. 2023, 25(6), 1100–1112. [Google Scholar] [CrossRef] [PubMed]
  44. Leder, K.; Pitter, K.; Laplant, Q.; Hambardzumyan, D.; Ross, B. D.; Chan, T. A.; Holland, E. C.; Michor, F. Mathematical Modeling of Pdgf-Driven Glioblastoma Reveals Optimized Radiation Dosing Schedules. Cell. [CrossRef]
  45. Keidar, M. Therapeutic Approaches Based on Plasmas and Nanoparticles. J. Nanomedicine Res. 2016, 3 (2). [CrossRef]
  46. Keidar, M.; Yan, D.; Beilis, I. I.; Trink, B.; Sherman, J. H. Plasmas for Treating Cancer: Opportunities for Adaptive and Self-Adaptive Approaches. Trends Biotechnol. 2018, 36(6), 586–593. [Google Scholar] [CrossRef]
  47. Lyu, Y.; Lin, L.; Gjika, E.; Lee, T.; Keidar, M. Mathematical Modeling and Control for Cancer Treatment with Cold Atmospheric Plasma Jet. J. Phys. D. J. Phys. D. Appl. Phys. 2019, 51(18), 185202. [Google Scholar] [CrossRef]
  48. Tanaka, H.; Bekeschus, S.; Yan, D.; Hori, M. ; Keidar,M; Laroussi,M. Plasma-Treated Solutions (PTS) in Cancer Therapy. Cancers, 1737. [Google Scholar] [CrossRef]
  49. Tampieri, F.; Gorbanev, Y.; Sardella, E. Plasma-Treated Liquids in Medicine: Let’s Get Chemical. Plasma Process. Plasma Process. Polym. 2023, e2300077. [Google Scholar] [CrossRef]
  50. Solé-Martí, X.; Vilella, T.; Labay, C.; Tampieri, F.; Ginebra, M. P.; Canal, C. Thermosensitive Hydrogels to Deliver Reactive Species Generated by Cold Atmospheric Plasma: A Case Study with Methylcellulose. Biomater. Sci. 2022, 10(14), 3845–3855. [Google Scholar] [CrossRef]
  51. Malyavko, A.; Yan, D.; Wang, Q.; Klein, A.L.; Patel, K.C.; Sherman, J.H.; Keidar, M. Cold Atmospheric Plasma Cancer Treatment, Direct versus Indirect Approaches. Mater. Adv. 2020, 1, 1494–1505. [Google Scholar] [CrossRef]
  52. Poramapijitwat, P.; Thana, P.; Sukum, P.; Liangdeng, Y.; Kuensaen, C.; Boonyawan, D. Selective Cytotoxicity of Lung Cancer Cells—A549 and H1299—Induced by Ringer’s Lactate Solution Activated by a Non-Thermal Air Plasma Jet Device, Nightingale®. Plasma Chem. Plasma Process. 2023, 43(4), 805–830. [Google Scholar] [CrossRef]
  53. Miebach, L.; Mohamed, H.; Wende, K.; Miller, V.; Bekeschus, S. Pancreatic Cancer Cells Undergo Immunogenic Cell Death upon Exposure to Gas Plasma-Oxidized Ringers Lactate. Cancers. [CrossRef]
  54. Pavlik, T.; Gudkova, V.; Razvolyaeva, D.; Pavlova, M.; Kostukova, N.; Miloykovich, L.; Kolik, L.; Konchekov, E.; Shimanovskii, N. The Role of Autophagy and Apoptosis in the Combined Action of Plasma-Treated Saline, Doxorubicin, and Medroxyprogesterone Acetate on K562 Myeloid Leukaemia Cells. Int. J. Mol. Sci. 2023, 24(6), 5100. [Google Scholar] [CrossRef]
  55. Wang, X.; Liu, N.; Liu, J.; Cui, Y.; Wang, X.; Lu, J.; Kang, C.; Gao, L.; Shi, X.; Zhang, G. Comparison of Direct and Indirect Low-Temperature Plasma Triggering Immunogenic Cell Death in B16F10 Melanoma. Plasma Process. Polym. 2023, 20(8), e2200206. [Google Scholar] [CrossRef]
  56. Patrakova, E. A.; Biryukov, M. M.; Troitskaya, O. S.; Novak, D. D.; Milakhina, E. V.; Gugin, P. P.; Zakrevsky, D. E.; Schweigert, I. V.; Koval, O. A. Cytotoxic Activity of a Cold Atmospheric Plasma Jet in Relation to a 3D Cell Model of Human Breast Cancer. Cell tissue biol. [CrossRef]
  57. Bengtson, C.; Bogaerts, A. On the Anti-Cancer Effect of Cold Atmospheric Plasma and the Possible Role of Catalase-Dependent Apoptotic Pathways. Cells. [CrossRef]
  58. Bengtson, C.; Bogaerts, A. The Quest to Quantify Selective and Synergistic Effects of Plasma for Cancer Treatment: Insights from Mathematical Modeling. Int. J. Mol. Sci. 2021, 22(9), 5033. [Google Scholar] [CrossRef] [PubMed]
  59. Xu, M. Modeling and Simulation of Cancer Treatment Using Cold Atmospheric Plasma. 2021. [CrossRef]
  60. Lin, L.; Yan, D.; Gjika, E.; Sherman, J. H.; Keidar, M. Atmospheric Plasma Meets Cell: Plasma Tailoring by Living Cells. Appl. Mater. Interfaces, 3062. [Google Scholar] [CrossRef]
  61. Lin, L.; Hou, Z.; Yao, X.; Liu, Y.; Sirigiri, J. R.; Lee, T.; Keidar, M. Introducing Adaptive Cold Atmospheric Plasma: The Perspective of Adaptive Cold Plasma Cancer Treatments Based on Real-Time Electrochemical Impedance Spectroscopy. Phys. Plasmas 2020, 27(6), 063501. [Google Scholar] [CrossRef]
  62. He, Z.; Liu, K.; Scally, L.; Manaloto, E.; Gunes, S.; Ng, S. W.; Maher, M.; Tiwari, B.; Byrne, H. J.; Bourke, P.; Tian, F.; Cullen, P. J.; Curtin, J. F. Cold Atmospheric Plasma Stimulates Clathrin-Dependent Endocytosis to Repair oxidized Membrane and Enhance Uptake of Nanomaterial in Glioblastoma Multiforme. Cells. Sci. Rep. [CrossRef]
  63. Michor, F.; Beal, K. Improving Cancer Treatment via Mathematical Modeling: Surmounting the Challenges Is Worth the Effort. Cell, 1059. [Google Scholar] [CrossRef]
  64. Bekisz, S.; Geris, L. Cancer Modeling: From Mechanistic to Data-Driven Approaches, and from Fundamental Insights to Clinical Applications. J. Comput. Sci. 2020, 46, 101198. [Google Scholar] [CrossRef]
  65. Sun, X.; Hu, B. Mathematical Modeling and Computational Prediction of Cancer Drug Resistance. Brief. Bioinform. 2017, 19(6), 1382–1399. [Google Scholar] [CrossRef]
  66. Zhang, B.; Shi, H.; Wang, H. Machine Learning and AI in Cancer Prognosis, Prediction, and Treatment Selection: A Critical Approach. J. Multidiscip. Healthc. 2023, 16, 1779. [Google Scholar] [CrossRef]
  67. Bonzanini, A. D.; Shao, K.; Graves, D. B.; Hamaguchi, S.; Mesbah, A. Foundations of Machine Learning for Low-Temperature Plasmas: Methods and Case Studies. Plasma Sources Sci. Technol. 2023, 32(2), 024003. [Google Scholar] [CrossRef]
  68. Mesbah, A.; Graves, D. B. Machine Learning for Modeling, Diagnostics, and Control of Non-Equilibrium Plasmas. J. Phys. D. Appl. Phys. 2019, 52(30), 30LT02. [Google Scholar] [CrossRef]
  69. Goldenberg, S. L.; Nir, G.; Salcudean, S. E. A New Era: Artificial Intelligence and Machine Learning in Prostate Cancer. Nat. Rev. Urol. 2019, 16(7), 391–403. [Google Scholar] [CrossRef]
  70. Koh, D.-M.; Papanikolaou, N.; Bick, U.; Illing, R.; Charles, E. Kahn, J.; Kalpathi-Cramer, J.; Matos, C.; Martí-Bonmatí, L.; Miles, A.; Mun, S. K.; Napel, S.; Rockall, A.; Sala, E.; Strickland, N.; Prior, F. Artificial Intelligence and Machine Learning in Cancer Imaging. Commun. Med. [CrossRef]
  71. Savić, M.; Kurbalija, V.; Ilić, M.; Ivanović, M.; Jakovetić, D.; Valachis, A.; Autexier, S.; Rust, J.; Kosmidis, T. The Application of Machine Learning Techniques in Prediction of Quality of Life Features for Cancer Patients. Comput. Sci. Inf. Syst. 2023, 20(1), 381–404. [Google Scholar] [CrossRef]
  72. Singh, A. K.; Ling, J.; Malviya, R. Prediction of Cancer Treatment Using Advancements in Machine Learning. Recent Pat. Anticancer. Recent Pat. Anticancer. Drug Discov. 2023, 18(3), 364–378. [Google Scholar] [CrossRef]
  73. Liao, J.; Li, X.; Gan, Y.; Han, S.; Rong, P.; Wang, W.; Li, W.; Zhou, L. Artificial Intelligence Assists Precision Medicine in Cancer Treatment. Front. Oncol. 2023, 12, 998222. [Google Scholar] [CrossRef]
  74. Tan, P.; Chen, X.; Zhang, H.; Wei, Q.; Luo, K. Artificial Intelligence Aids in Development of Nanomedicines for Cancer Management. Semin. Cancer Biol. 2023, 89, 61–75. [Google Scholar] [CrossRef]
  75. Charalambous, A.; Dodlek, N. Big Data, Machine Learning, and Artificial Intelligence to Advance Cancer Care: Opportunities and Challenges. Semin. Oncol. Nurs. [CrossRef]
  76. Wang, Z.; Liu, Y.; Niu, X. Application of Artificial Intelligence for Improving Early Detection and Prediction of Therapeutic Outcomes for Gastric Cancer in the Era of Precision Oncology. Semin. Cancer Biol. 2023, 93, 83–96. [Google Scholar] [CrossRef] [PubMed]
  77. Gao, Q.; Yang, L.; Lu, M.; Jin, R.; Ye, H.; Ma, T. The Artificial Intelligence and Machine Learning in Lung Cancer Immunotherapy. J. Hematol. Oncol. 2023, 16(1), 55. [Google Scholar] [CrossRef] [PubMed]
  78. Lee, T.; Keidar, M. Adaptive Plasma and Machine Learning. In: Keidar, M. (eds) Plasma Cancer Therapy. Springer Series on Atomic, Optical, and Plasma Physics, Springer, Cham.2020,223-250. [CrossRef]
  79. Hou, Z.; Lee, T.; Keidar, M. Reinforcement Learning with Safe Exploration for Adaptive Plasma Cancer Treatment. IEEE Trans. Radiat. Plasma Med. Sci. 2022, 6(4), 482–492. [Google Scholar] [CrossRef]
  80. Bonzanini, A. D.; Shao, K.; Stancampiano, A.; Graves, D. B.; Mesbah, A. Perspectives on Machine Learning-Assisted Plasma Medicine: Toward Automated Plasma Treatment. IEEE Trans. Radiat. Plasma Med. Sci. 2022, 6(1), 16–32. [Google Scholar] [CrossRef]
  81. Chan, K. J.; Makrygiorgos, G.; Mesbah, A. Towards Personalized Plasma Medicine via Data-Efficient Adaptation of Fast Deep Learning-Based MPC Policies. Am. Control Conf. 2023, 2769–2775. [Google Scholar] [CrossRef]
  82. Littman, M. L.; Szepesvári, C. A Generalized Reinforcement-Learning Model: Convergence and Applications. In ICML, 1996, 310–318.
  83. Chen, C. L.; Dong, D. Y.; Li, H. X.; Tarn, T. J. Hybrid MDP Based Integrated Hierarchical Q-Learning. Sci. China Inf. Sci. 2011, 54(11), 2279–2294. [Google Scholar] [CrossRef]
  84. Lin, L.; Yan, D.; Lee, T.; Keidar, M. Self-Adaptive Plasma Chemistry and Intelligent Plasma Medicine. Adv. Intell. Syst. 2022, 4(3), 2100112. [Google Scholar] [CrossRef]
  85. Lin, L.; Keidar, M. Artificial Intelligence without Digital Computers: Programming Matter at a Molecular Scale. Adv. Intell. Syst. 2022, 4(11), 2200157. [Google Scholar] [CrossRef]
  86. Gidon, D.; Pei, X.; Bonzanini, A. D.; Graves, D. B.; Mesbah, A. Machine Learning for Real-Time Diagnostics of Cold Atmospheric Plasma Sources. IEEE Trans. Radiat. Plasma Med. Sci. 2019, 3(5), 597–605. [Google Scholar] [CrossRef]
  87. Zaplotnik, R.; Primc, G.; Vesel, A. Optical Emission Spectroscopy as a Diagnostic Tool for Characterization of Atmospheric Plasma Jets. Appl. Sci. 2021, 11(5), 2275. [Google Scholar] [CrossRef]
  88. Witman, M.; Gidon, D.; Graves, D. B.; Smit, B.; Mesbah, A. Sim-to-Real Transfer Reinforcement Learning for Control of Thermal Effects of an Atmospheric Pressure Plasma Jet. Plasma Sources Sci. Technol. [CrossRef]
  89. Zhang, Y. T.; Gao, S. H.; Ai, F. Efficient Numerical Simulation of Atmospheric Pulsed Discharges by Introducing Deep Learning. Front. Phys. 2023, 11. [Google Scholar] [CrossRef]
  90. van Der Gaag, T.; Onishi, H.; Akatsuka, H. Arbitrary EEDF Determination of Atmospheric-Pressure Plasma by Applying Machine Learning to OES Measurement. Phys. Plasmas. [CrossRef]
  91. van Der Gaag, T.; Nezu, A.; Akatsuka, H. Practical Considerations of the Visible Bremsstrahlung Inversion (VBI) Method for Arbitrary EEDF Determination in Cold Atmospheric-Pressure Plasma. Jpn. J. Appl. Phys. [CrossRef]
  92. van der Gaag, T.; Nezu, A.; Akatsuka, H. Partial EEDF Analysis and Electron Diagnostics of Atmospheric-Pressure Argon and Argon-Helium DBD Plasma. J. Phys. D. Appl. Phys. [CrossRef]
  93. Chang, J.; Niu, P. H.; Chen, C. W.; Cheng, Y. C. Using Deep Convolutional Neural Networks to Classify the Discharge Current of a Cold Atmospheric-Pressure Plasma Jet. IEEE Trans. Plasma Sci. 2023, 51(2), 311–319. [Google Scholar] [CrossRef]
  94. Starikovskiy, A.; Lazarus, M.; Yan, D.; Limanowski, R.; Lin, L.; Keidar, M. Recognizing Cold Atmospheric Plasma Plume Using Computer Vision. Plasma. [CrossRef]
  95. Lin, L.; Gershman, S.; Raitses, Y.; Keidar, M. Multi-Scale Plasma Chemistry Using Physics-Informed Neural Network. J. Phys D Appl. Phys.
  96. Rodrigues, D.; Chan, K. J.; Mesbah, A. Data-Driven Adaptive Optimal Control Under Model Uncertainty: An Application to Cold Atmospheric Plasmas. IEEE Trans. Control Syst. Technol. 2023, 31(1), 55–69. [Google Scholar] [CrossRef]
  97. Kim, D. H.; Hong, S. J. Use of Plasma Information in Machine-Learning-Based Fault Detection and Classification for Advanced Equipment Control. IEEE Trans. Semicond. Manuf. 2021, 34(3), 408–419. [Google Scholar] [CrossRef]
  98. Sebastian, A.; Lipa, D.; Ptasinska, S. DNA Strand Breaks and Denaturation as Probes of Chemical Reactivity versus Thermal Effects of Atmospheric Pressure Plasma Jets. ACS Omega 2022. [CrossRef]
  99. Sabrin, S.; Karmokar, D. K.; Karmakar, N. C.; Hong, S. H.; Habibullah, H.; Szili, E. J. Opportunities of Electronic and Optical Sensors in Autonomous Medical Plasma Technologies. ACS Sensors 2023, 8(3), 974–993. [Google Scholar] [CrossRef]
  100. Trieschmann, J.; Vialetto, L.; Gergs, T. Machine Learning for Advancing Low-Temperature Plasma Modeling and Simulation. 2023. [CrossRef]
  101. Hoeben, A.; Joosten, E. A. J.; van den Beuken-Van Everdingen, M. H. J. Personalized Medicine: Recent Progress in Cancer Therapy. Cancers (Basel). 2021, 13(2), 1–3. [Google Scholar] [CrossRef]
  102. Dey, A.; Mitra, A.; Pathak, S.; Prasad, S.; Zhang, A. S.; Zhang, H.; Sun, X. F.; Banerjee, A. Recent Advancements, Limitations, and Future Perspectives of the Use of Personalized Medicine in Treatment of Colon Cancer. Technol. Cancer Res. Treat. 2023, 22. [Google Scholar] [CrossRef] [PubMed]
  103. Dai, X.; Zhu, K. Cold Atmospheric Plasma: Novel Opportunities for Tumor Microenvironment Targeting. Cancer Med. 2023, 12(6), 7189–7206. [Google Scholar] [CrossRef] [PubMed]
  104. Canady, J.; Murthy, S. R. K.; Zhuang, T.; Gitelis, S.; Nissan, A.; Ly, L.; Jones, O. Z.; Cheng, X.; Adileh, M.; Blank, A. T.; Colman, M. W.; Millikan, K.; O’Donoghue, C.; Stenson, K. M.; Ohara, K.; Schtrechman, G.; Keidar, M.; Basadonna, G. The First Cold Atmospheric Plasma Phase I Clinical Trial for the Treatment of Advanced Solid Tumors: A Novel Treatment Arm for Cancer. Cancers, 3688. [Google Scholar] [CrossRef]
  105. Murillo, D.; Huergo, C.; Gallego, B.; Rodríguez, R.; Tornín, J. Exploring the Use of Cold Atmospheric Plasma to Overcome Drug Resistance in Cancer. Biomed. 2023, 11(1), 208. [Google Scholar] [CrossRef]
  106. Boeckmann, L.; Berner, J.; Kordt, M.; Lenz, E.; Schäfer, M.; Semmler, M.; Frey, A.; Sagwal, S.; Rebl, H.; Miebach, L.; Niessner, F.; Sawade, M.; Hein, M.; Ramer, R.; Grambow, E.; Seebauer, C.; von Woedtke, T.; Nebe, B.; Metelmann, H.-R.; Langer, P.; Hinz, B.; Vollmar, B.; Emmert, S.; Bekeschus, S. Synergistic Effect of Cold Gas Plasma and Experimental Drug Exposure Exhibits Skin Cancer Toxicity in Vitro and in Vivo. J. Adv. Res. 2023. [CrossRef] [PubMed]
  107. Bekeschus, S. Medical Gas Plasma Technology: Roadmap on Cancer Treatment and Immunotherapy. Redox Biol. 2023, 65, 102798. [Google Scholar] [CrossRef]
  108. Ercan, U. K.; Özdemir, G. D.; Özdemir, M. A.; Güren, O. Plasma Medicine: The Era of Artificial Intelligence. Plasma Process. Plasma Process. Polym. 2023, e2300066. [Google Scholar] [CrossRef]
Figure 1. A Graph depicting the rising trend in mathematical modeling to study the response of cancer cells to different treatment strategies, based on search results in PubMed using the search terms, ("mathematical model") AND (cancer treatment response) and after full text screening for better relevancy.
Figure 1. A Graph depicting the rising trend in mathematical modeling to study the response of cancer cells to different treatment strategies, based on search results in PubMed using the search terms, ("mathematical model") AND (cancer treatment response) and after full text screening for better relevancy.
Preprints 82786 g001
Figure 2. A scatter chart comparing increase in the application of Machine Learning in Cancer and CAP, based on search results in PubMed & Google Scholar using the search terms, ("Machine Learning") AND (Cancer Treatment) & (“Machine Learning”) AND (“Cold Atmospheric Plasma”).
Figure 2. A scatter chart comparing increase in the application of Machine Learning in Cancer and CAP, based on search results in PubMed & Google Scholar using the search terms, ("Machine Learning") AND (Cancer Treatment) & (“Machine Learning”) AND (“Cold Atmospheric Plasma”).
Preprints 82786 g002
Figure 3. Adaptive Plasma Framework for Precision Cancer Treatment: Integration of GP, MDP, Safe Q-Learning and Softmax[80].
Figure 3. Adaptive Plasma Framework for Precision Cancer Treatment: Integration of GP, MDP, Safe Q-Learning and Softmax[80].
Preprints 82786 g003
Figure 4. Model Predictive Learning Control (MPLC) framework: Merging Real-Time data with Adaptive Plasma Control System to modify the treatment parameters online, making treatment more effective and personalized to each cancer cell’s response [62].
Figure 4. Model Predictive Learning Control (MPLC) framework: Merging Real-Time data with Adaptive Plasma Control System to modify the treatment parameters online, making treatment more effective and personalized to each cancer cell’s response [62].
Preprints 82786 g004
Figure 5. Artificial Neural Networks (ANNs) in Real-Time diagnostics of plasma composition and Real-time control of plasma parameters to achieve optimized composition for personalized cancer treatment [85].
Figure 5. Artificial Neural Networks (ANNs) in Real-Time diagnostics of plasma composition and Real-time control of plasma parameters to achieve optimized composition for personalized cancer treatment [85].
Preprints 82786 g005
Figure 6. Incorporating automatic real-time feedback control strategy into Adaptive Plasma system.
Figure 6. Incorporating automatic real-time feedback control strategy into Adaptive Plasma system.
Preprints 82786 g006
Table 1. Mathematical models to represent the response of cancer cells to CAP/PTLs.
Table 1. Mathematical models to represent the response of cancer cells to CAP/PTLs.
Mathematical models employed Response parameter measured/assumed Parameters influencing cancer treatment Significance of the model Reference
Linear model Cell viability using cell counting kit-8 Treatment duration, liquid surface, thickness of the medium, number of cells Provides an insight into the relationship between various parameters and the efficiency of PAM in treating cancer cells. [60]
General mathematical model Permittivity of the cells by capacitance imaging. Electron density of CAP bullet with cell lines as targets Permittivity of cancer cells can influence the behavior (eg. electron density, electric field) of CAPJ. Implies the significance in selective cancer treatment and adaptive plasma control. [61]
Exponential growth model, Net proliferative rate function together with MPC Cell viability using Real Time-Glo assay providing real-time feedback Plasma discharge voltage, treatment duration Improves the effectiveness and selectivity of CAP treatment on cancer cells by optimizing the treatment parameters. [48]
Net proliferativerate function,Gaussian process regression model together with MPLC Electrical properties of cells using EIS/FPR providing real-time feedback Plasma discharge voltage, treatment duration, flow rate, cell viability Improves the effectiveness and selectivity by adapting and optimizing the treatment parameters of SACAPJ [62]
Phenomenological rate equation model Lipid peroxidation by measuring MDA, RONS using OES. Gold nanoparticles, RONS in CAP CAP treatment enhanced the uptake of gold nanoparticles by the brain cancer cells through clathrin-mediated endocytosis [63]
A custom mathematical model to analyze the catalase-dependent kinetics Concentration of hydroxyl radicals Singlet oxygen exposure, catalase concentration Demonstrates that catalase inactivation by singlet oxygen would not be sufficient to reactivate the apoptotic pathway. Hence, catalase-dependent apoptotic pathways are unlikely to be the primary cause of the anti-cancer effect of CAP. Needs experimental validations. [58]
Predictive model Concentration of H2O2 and NO2- Membrane diffusion rate of H2O2, intracellular catalase concentration Predicts how varying properties of PTLs, such as the concentration of H2O2 and NO2-, influence their anti-cancer efficacy and selectivity. [59]
Table 2. Selected parameters of the CAP sources for real-time diagnostics and AI algorithms employed.
Table 2. Selected parameters of the CAP sources for real-time diagnostics and AI algorithms employed.
Selected Parameters of the CAP sources for Real-Time diagnostics Input Data obtained from AI algorithms employed Reference
Rotational and Vibrational temperatures OES Linear regression (Supervised ML) [87]
Substrate characteristics OES k-Means Clustering (Unsupervised ML) [87]
Separation distance between the electrodes Electro-Acoustic Emission Gaussian Process Regression (Supervised probabilistic ML) [87]
Electron energy distribution function (EEDF) OES Genetic Algorithm (metaheuristic algorithm) [91]
EEDF OES, Momentum-transfer cross section Visible Bremmsstrahlung Inversion (Supervised ML) [92,93]
Time-series current signals from APPJ (discharge type and working gas) Sensors/Probes Convolutional neural networks (DL) [94]
Plasma Plume length Video frames of the plasma plume captured using a camera (iPhone 11) Computer Vision algorithms [95]
Temperature setpoint Simulated data from thermal dynamics model of plasma-substrate interactions Reinforcement learning [89]
Self-Adaptive Plasma ChemistryGas input densities and Energy levels OES Artificial Neural Networks (DL), Gradual Mutation Algorithm [85]
Pulse Discharge characteristics (current density and gap voltage) Simulated fluid model data of time and pulse rise rate Deep neural networks (DL) [90]
Plasma chemistry (tokamak) FTIR Physics Informed Neural Networks [96]
Table 3. Cancer cell response measured in Real-time in vitro studies.
Table 3. Cancer cell response measured in Real-time in vitro studies.
Input data Real-time diagnostics Algorithms used Reference
CAP treatment duration and Discharge voltage applied Cell viability Luminescence Assay Model Predictive Control (MPC) [48]
Cancer Cell viability ratio Electrochemical Impedance Spectroscopy (EIS), operational parameters Gaussian Process (GP), MPLC [62]
Cancer Cell viability ratio EIS, Cell viability assays, operational parameters GP Regression (Supervised probabilistic ML), Safety Q – Reinforcement learning [80]
Voltage applied, irradiation time, frequency of the plasma and flow rate of the feed gas on the extent of DNA damage Agarose gel electrophoresis, UV fluorescence Imaging Artificial Neural Networks (supervised DL)Physics Guided Neural Network (supervised DL [99]
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

© 2024 MDPI (Basel, Switzerland) unless otherwise stated