Restoration Methods of Respiratory Function for Spinal Cord Injury

1 e School of Biology and Medical Engineering, Beihang University, Beijing 100191, China 2 e School of Automation Science and Electrical Engineering, Beihang University, Beijing 100191, China 3 e State Key Laboratory of Fluid Power and Mechatronic Systems, Zhejiang University, Hangzhou 310027, China 4 e Engineering Training Center, Beihang University, Beijing 100191, China 5 e Department of Respiratory Medicine, Beijing Chaoyang Hospital, Beijing 100020, China


Introduction
Recently, with the advance of transportation and construction industry, the number of spinal cord injury (SCI) patients caused by traffic accidents and falls has been increasing year by year. According to the survey, the global incidence of traumatic spinal cord injury (TSCI) is almost 10.5/100,000 [1]. SCI in China has exceeded 100,0000 cases in 2012 and increases by 10,000 to 60,000 cases each year [2]. High segment and severe SCI, especially for patients with complete high cervical SCI, will lead to respiratory dysfunction and high mortality [2]. In the critical condition, about 20% of these patients need to be treated with tracheotomy and mechanical ventilation. After treatment, there are still 5% of patients with acute SCI depending on longterm ventilation support with a ventilator to sustain life [3]. It may cause the patients speech difficulties, inconvenience in social activities, decubitus ulcers, and lung infection, bringing them both psychological and physical pressure [4].
In the past several decades, functional electrical stimulation, using electricity to stimulate the motor nerve to cause muscles contraction, has been successfully used in the recovery of motor function in SCI. Based on this principle, the implantable diaphragmatic pacing can restore spontaneous respiration in high cervical SCI patients [5]. Applying abdominal functional electrical stimulation can increase the tidal volume of respiration in patients with SCI [6]. Furthermore, Electrical stimulation of intercostal nerve roots (T2, 3) produces higher inspiratory capacity [7,8]. Besides, there are several other ways to reconstruct the respiratory function after SCI, such as the nerve and olfactory cell transplantation [9,10].
As mentioned previously, the ways to restore the patients' respiratory function with SCI are varied. It is inappropriate for us to describe all the methods in detail. Hence, we choose three mature clinical treatments with the help of medical devices, including mechanical ventilation, functional electrical stimulation, and respiratory muscle training for analysis. By comparing the effectiveness, advantages, and disadvantages of these three methods to patients' treatment, we focus on the electrical stimulation and briefly describe the clinical application of the other two techniques. Finally, the future development of respiratory function reconstruction methods for SCI is briefly introduced. is review is useful for engineering technicians and medical staff engaged in respiratory therapy. For medical staff, they can quickly understand the key technologies and indications of these treatments to choose the appropriate treatment for the patient. e engineering staff would propose improvements to the technical deficiencies of existing treatment equipment to promote the development of medical devices related to respiratory therapy.

Respiratory Mechanism and Spinal
Cord Injury e respiration motion, consisting of inhalation and exhalation, can be seen as the process of gas exchange between the body and the external environment. It is always a selfcontrol and unconscious movement [11], which is controlled by a combination of respiratory muscles, such as the diaphragm, intercostal muscles, and scalenus muscles. e contraction of diaphragm, intercostals, and scalenus muscles in inhalation leads to the decrease in chest pressure. erefore, the increase of lung volume and the reductions of pressure in lung make the gas from the outside enter the body. During exhalation, the movement of the respiratory muscles and changes of the air pressure in the chest and lungs are contrary to the inhalation process.
In the respiratory muscles, the diaphragm separating the chest and the abdominal cavity is the primary power pump source of ventilation function [12]. e volume of ventilation produced by diaphragm contraction in rest respiration accounts for 60%-80% of the total amount of ventilation [12]. e spinal cord can be seen as the bridge between the brain and the peripheral nerves. Its function is to transmit the motor and sensory information to brain and organs of the body [2]. As shown in Figure 1, the spinal cord in the spine made up of 26 segment vertebras controls different physiological (sensation and motor) functions of the body [3,13].
High spinal cord injury (cervical and upper thoracic SCI) is a fatal injury that results in respiratory dysfunction, expectoration weakness, and even without autonomous breathing. at is because high SCI damage the neurons that dominate the contraction of the central respiratory muscles [3]. Figure 2 simply illustrates that the respiratory rhythm arises from the medulla oblongata and its relationship to the spinal cord. e axons of the respiratory neurons project down into the spinal cord, causing the motor neurons of the inspiratory muscles (diaphragms and intercostal muscles) to excite. If the injury occurs above T6, the medullary centre and the respiratory muscles will be separated to different degrees, causing respiratory dysfunction. Especially for damages above the C2 level, the medulla oblongata will completely lose regulation of the respiratory muscles.
It is reported that the incidence of respiratory complications, including ventilatory failure and respiratory infection, caused by high SCI can be as high as 81.3% [14,15]. More significantly, higher (C1-C4) and more severe spinal cord injuries will lead to more severe and long-lasting respiratory complications.

Electrical Stimulation Therapy
In recent decades, functional electrical stimulation has achieved a specific clinical effect in the recovery of movement, respiration, urination, and other functions of patients with SCI. It is reported that the diaphragm has been  Figure 1: e structure of the spine and its corresponding physiological function [13]. e spine is composed of 26 segments of vertebras, which can be divided into the cervical spine (7), thoracic spine (12), lumbar spine (5), sacroiliac spine, and coccyx. A spinal canal is formed inside the spine from the top to bottom with a spinal cord inside. Spinal cords in different segments control different physiological functions (breathing, movement, defecation function, etc.) of the human body. activated by electrical stimulation technology for more than 200 years [16].

Diaphragm Pacemaker.
Diaphragmatic pacing (DP), also known as phrenic nerve stimulation (PNS), is based on the principle of stimulating the phrenic nerve with an electric pulse, thus causing the contraction of the diaphragm to simulate the respiratory movement of the human physiological mode [17]. In the 1960s, the development of electrical stimulation by radio-frequency changed the conventional PNS system. In 1972, Glenn et al. used DP for the first time to improve the respiratory function of patients with high cervical spinal cord injury and achieved success [18].
Moreover, DP technology was proved to be a safe and reliable operation. Glenn being the first doctor to use DP, reported the follow-up results of 77 patients in 1985 [19]. DP was used for up to 10-16 years in these 77 patients. Kong et al. introduced that, in 19 patients who used phrenic stimulation in Australia, the average duration of continuous pacing reached 13 years [20]. ere are also many cases that have been used for more than 20 years [21]. At present, DP technology has been recognized in clinical. According to some studies, more than 2000 patients in the world have used DP to recover the SCI that cannot breathe autonomously [22,23]. ese cases fully prove the effectiveness and safety of DP. Figure 3(a) is the operating principle of diaphragm pacemaker (DP) containing implanted components (electrodes, connector, and radiofrequency receiver) and exterior components (antenna and stimulus transmitter) [24]. Figure 3(b) is a physical diagram of the implantation of electrodes and receivers for diaphragm pacemaker surgery. e two electrodes connected to the radiofrequency receiver are placed on the phrenic nerves. ere is no electric source in vivo, and the external stimulus transmitter based on the principle of electromagnetic induction provides parameter commands (waveform, pulse width, and frequency) and electric energy for the internal device. During stimulation, the power and stimulus parameter instruction is sent to the radiofrequency receiver by the stimulus transmitter. According to the received data, the radiofrequency receiver transmits the electric pulse to the phrenic nerve through the electrode in an alternating manner. e working process of the DP and the relationship between the various components can be summarised in the flowchart shown in Figure 4. It can be seen more intuitively from the workflow diagram that the DP does not monitor the ventilation effect during the work process, which may be dangerous without the care of medical staff.
Currently, three kinds of DP manufactured by Avery company in the United States, Atrotech company in Finland, and Medimplant company in Australia, respectively, are available in the market [4,26]. e stimulation effect of them is the same, and the main difference (see Table 1) is the number of the electrode and the electrode implantation. Among the three types of DP, Avery is the first company to develop this product widely used in the world. Compared with the bipolar electrode, the monopolar electrode with more advantages is suitable for most patients. However, for patients with heart pacemaker, to prevent the interference of current, the only bipolar electrode can be selected. Atrotech and Medimplant use quadrupole electrodes to reduce the stimulation frequency and effectively reduce diaphragm fatigue.

Indication of DP.
e main indications of DP are sleep apnea syndrome, brain stem injury-induced respiratory failure, and loss of spontaneous respiration due to SCI above C3 [27]. Among these injuries, high SCI is the best indication for DP [28]. However, not all respiratory dysfunction caused by high SCI is suitable for treatment with DP. Whether the structure and function of the phrenic nerve and the phrenic muscle are complete is the fundamental premise for performing DP. erefore, it is necessary to evaluate it in detail before surgery [29,30]. e evaluation methods of diaphragm function mainly include the phrenic nerve conduction velocity (7.5∼9 ms), the change in transdiaphragm pressure (unilateral pacing: 10 cm H 2 O), and the observation of diaphragm activity under fluoroscopy [31][32][33], which are as shown in Table 2. Fluoroscopy is the most reliable method to observe diaphragm activity among these methods. X-ray fluoroscopy was used to observe the degree of phrenic muscle descent when the phrenic nerve was electrically stimulated. If the descent was more than 5 cm, the success rate of pacing was high.
In addition, the pacing response of unilateral diaphragm may not hinder the implementation of diaphragm pacing. On the contrary, unilateral diaphragm pacing can achieve good pacing effect [30,34]. Oldenburg Figure 2: e relationship between SCI and respiratory dysfunction. ere is a primary centre in the medulla that produces rhythmic breathing. SCI will cause respiratory muscles to escape the control of the medulla centre. tidal volume generated by unilateral phrenic nerve stimulation was maintained at 700-1000 ml at 12/min, 16/min, and 18/min, which fully meets the physiological needs of human respiration [30].

Parameter of DP.
e stimulation waveform of phrenic nerve is displayed in Figure 5 [35]. T1 and T2 represent the time of the respiratory cycle and inspiration respectively, so the expiratory time equals to the difference between T1 and T2. Each blue vertical line in Figure 5 denotes a stimulus pulse, and its pulse width is Ti. In the inspiratory phase (T2), the pulses (ITH is the minimum stimulation threshold, and ITV is the maximum stimulus intensity) to stimulate phrenic nerve are given to induce the contraction of the diaphragm to increase the tidal volume. While in the expiratory stage, there is no electrical stimulation rendered to make the diaphragm and expel the gas. Accordingly, the working process of the diaphragm pacemaker is to simulate human physiological respiration. Furthermore, after the operation, the stimulation parameters of the signal in Figure 5 should be adjusted based on the actual situation of the patient. e waveform of the stimulus affects the physiological response and safety of the nerve. For the safety and simplicity of stimulation, the traditional stimulus waveform adopts square wave in DP [35]. e new stimulus waveforms (see Figure 6) as an physiological reaction of the diaphragm may be more effective, which need further research [36].
To avoid to phrenic nerve injury and diaphragmatic fatigue, patients with SCI to choose appropriate pacing parameters is extremely important. Unlike cardiac pacing, a single electrical stimulation pulse does not cause adequate ventilation. DP requires more than 30 continuous stimulation waves at a time. Moreover, several studies have shown that low-frequency pacing and lower respiratory frequency are more tolerable, making muscle structure and function have better chances. Previous successful clinical experience shows that it is safe and effective to adjust the stimulation parameters with pulse frequency of 25 Hz properly, respiratory frequency of 15 breath/min, and the inspiratory duration of one-third of the respiratory cycle [37] making the diaphragm twitch slowly and fatigue-resistant. In 1981, Oda et al. [38] studied the electrical parameters of DP in dogs. ey found that the change of stimulation frequency had a great influence on diaphragmatic fatigue. High frequency (33 Hz) and narrow pulse interval easily lead to rapid and obvious fatigue. In 2005, Anthony F. DiMarco et al. [39] researched the application of DP in patients with quadriplegia. ey set the stimulation parameter (stimulus frequency 20 Hz, inspiratory time 1.1s, and respiratory rate 10-12 breaths/min) to restore the spontaneous breathing in four patients successfully.
However, continuous and long-term stimulation (24 h/ day for several weeks) would harm the function and structure of the diaphragm, resulting in diaphragm fatigue and damage [40,41]. e reasonable use time of DP should be in 18 hours/day, so many patients choose to use DP at night and ventilator during the day. Besides, due to the rapid airflow in the trachea caused by DP, the negative pressure in the neck airway may occur, which will give rise to the stenosis of the upper respiratory tract. It was suggested that the continuous use time of DP should not exceed 12 hours or 16 hours a day [40,41].  [36]. e effects of different stimulus waveforms on neurophysiology need to be further studied.  Mathematical Problems in Engineering 5 As has been mentioned above, interpulse interval, stimulation frequency, and inspiratory time are the key parameters of diaphragm pacemaker. Brouillett [42] discussed the effects of these stimulus parameters on tidal volume for DP in infants and children, as shown in Figures 7 and 8. Figure 7 shows the trend of tidal volume in three patients at different pulse intervals, which can be fitted into a mathematical formula curve [42]: e value of tidal volume under the stimulation of the shortest (about 30 ms) and longest pulse interval approached to two asymptotes. Similar to Figure 8, the trend of tidal volume value in Figure 8 with the increase of inspiratory time is also by the asymptotic regression, which can be described by [42] Accordingly, based on meeting the needs of patients' ventilation, the balance between less inspiratory time and lower interpulse interval should be achieved in determining pacing parameters.

Intercostal Muscles
Pacing. DP via electric stimulation of bilateral phrenic nerves can restore spontaneous respiratory function in patients with high SCI. However, some patients with SCI are not candidates for diaphragm pacing due to injury of phrenic motor neuron pools or phrenic nerves. Intercostal muscles being the secondary respiratory muscles can contribute 35%-40% of tidal volume. Some researchers have suggested that intercostal muscles can be activated by electrical stimulation [8,[43][44][45][46].
A typical study showed that the combined stimulation of the intercostal nerve and unilateral phrenic nerve could separate patients with SCI from the ventilator [44]. is method requires one electrode placed on the ventral surface of the upper thoracic spinal cord by using hemi-laminectomy to activate intercostal muscles and the other electrode implanted into the unilateral phrenic nerve. After 15-30 weeks of recovery after surgery, the patients' inspiratory volume can reach 0.55 L-1.31 L, and they can leave the ventilator for spontaneous breathing daily for 16 to 24 hours [44]. Direct stimulation of the upper thoracic spinal cord will cause contraction of the intercostal muscles, triggering the generation of inspired volume. In animal studies, where the diaphragm and intercostal muscles breathe separately, the gas exchange induced by this way alone is the same as that caused by bilateral stimulation of phrenic nerve alone [45].
In addition, high-frequency spinal cord stimulation (HF-SCS) is a new and physiologically significant method of activating inspiratory muscles. It was proved that during high-frequency spinal cord stimulation at the T2 level, the peak discharge frequency of a single motor unit of the intercostal muscles was similar to that of spontaneous breathing [46].
Like diaphragmatic pacing, intercostal pacing restores the patients' sense of smell, speech, and social activities and generally increases patient happiness. Although this method has some side effects, such as mild hand flexion and upper body muscle contraction, it has less impact on the human body. Intercostal pacing can be a second treatment for patients with unfortunate diaphragm pacing effect. FDA has approved the method through IDE [24], and we believe that it can be applied in the market soon.

Principle.
Mechanical ventilation (MV) with a history of nearly 600 years is one of the essential means for the treatment of respiratory diseases. Since positive-pressure mechanical ventilation (PPMV) successfully rescued polio patients in 1950s, mechanical ventilation support has been widely used in the clinical operation and the treatment of respiratory disorder [47]. As in Figure 9, the ventilator provides positive air pressure higher than the alveolar pressure into the lungs to replace the contraction and expansion of human respiratory muscles [48,49]. It can help the patients' respiratory muscles act passively and ensure the O 2 supply and CO 2 exhaust. To simulate the function of the human nasal cavity, the gas provided by the ventilator needs to be heated and humidified, and the oxygen concentration is higher than the atmosphere. It is mainly composed of the mechanical module, controller, and human-computer interaction. e mechanical module realises the compression and storage of air and transfers it to the patient [50]. e controller controls the work of the entire ventilator system [50]. Human-computer interaction is mainly for medical staff to set the parameters of the ventilator (tidal volume, pressure, flow, and time) [50]. However, inflating the lung is a nonphysiological ventilation mode, which may contribute to the lung injury characterised pathologically by pneumonedema, oxygen intoxication, and barotraumas [51,52]. Although the pathogenesis of ventilator-induced lung injury is not fully understood, there is a consensus that the ventilation pressure higher than that of spontaneous respiration will lead to overexpansion of the alveoli and further results in lung injury and the inflammation of body's organs [53,54]. As a consequence, a concept of pulmonary protective ventilation strategy was proposed to minimise lung injury. Its content mainly includes using low tidal volume to avoid overexpansion of alveoli caused by high tidal volume or airway ventilation, applying sufficient pressure to make the collapsed alveoli open again while inhaling, and keeping the alveoli open with appropriate positive end-expiratory pressure (PEEP) when exhaling [51]. ese two ventilation strategies have been proven to be advantageous to prevent alveolar failure and lung injury [55].

Management of Mechanical Ventilation.
According to the connection between the ventilator and the human body, MV can be divided into invasive and noninvasive methods. For the different degrees of respiratory dysfunction caused by SCI, it is necessary for us to accurately evaluate the physiological status of each patient (diaphragmatic function and lung function) and then select the appropriate ventilation mode [56]. e complete SCI patients (C1-C5) with paralysis of the diaphragm and intercostal muscles require to be built effective artificial airway and realisation of MV to ensure the safety of life [57]. For incomplete or low SCI (below C5), conservative treatments can be used. However, the lung function of vital capacity (VC) and arterial blood gas analysis should be strictly monitored to prevent respiratory failure. Clinical practice guidelines for high SCI suggest that patients have an initial tidal volume of 15 ml/kg for mechanical ventilation and increase with daily chest radiograph atelectasis [58].
Moreover, another critical problem in the management of MV for patients with SCI is the timing of weaning. Whether the patients with SCI can be successfully weaned depends on the location and degree. e success rate of weaning for SCI below C5 is significantly higher than that above C4 [59]. e patients' weaning should be performed in strict accordance with the blood gas analysis indexes, leukocyte count, tidal volume, etc. After weaning, the patients' condition should be grimly observed to avoid danger.

Respiratory
Muscle Training e advancement of the medical level has gradually increased the survival rate of patients with SCI, but the respiratory function of patients with 5 years high SCI will decline [60]. e function of inspiratory and expiratory muscles is inhibited in patients with high SCI due to the injury of neurons controlling the respiratory muscle group.
is will lead to the reduction of lung capacity and chest wall compliance, then result in the incidence of atelectasis, dyspnea, and respiratory tract infection, and finally seriously affect the health and quality of life of patients with SCI [61][62][63]. e degree of respiratory muscle injury depends on the segment and degree of injury.
Respiratory muscle training (RMT), a treatment technique, is to use impedance load, threshold pressure load, and other means to carry out continuous and standardised training of muscles related to respiratory function, which in turn improves the strength and endurance of respiratory muscles [63]. It is inappropriate for such patients with SCI above C3 segment due to complete paralysis of all respiratory muscles. Patients with SCI (C3-T12 segment) may lead to partial respiratory muscle failure. erefore, improving the strength of respiratory muscles through RMT for the recovery of respiratory dysfunction due to SCI is effective [63,64].
RMT, including inspiratory muscle training and expiratory muscle training, needs to choose the appropriate treatment time and intensity. Each treatment should be performed according to the experience of a professional doctor and the guidance of the physiological literature.
SCI patients often use respiratory trainers for respiratory muscle training [66,67]. Figure 10 is a photo of expiratory muscle training device [65]. As shown in Figure 11, before using the device, the patient's nose needs to be tightened with a clip [65]. e patient is then asked to take a deep breath, hold the cheeks (to reduce lip leaks), and blow hard on the device. When the device detects that the air pressure reaches a threshold, they are reminded to stop exhaling. e treatment requires to take approximately 4-8 weeks, and approximately 25 to 30 training sessions need to be completed each day [68][69][70]. Clinicians can check the maximum expiratory pressure (MEP) and pulmonary function parameters (FEV1 and FVC) of trained patients every week to evaluate the effect of treatment. Many clinicians have studied the effect of RMT on the recovery of respiratory function in patients with SCI. ere are two main methods they use to study this subject: one is clinical research verification and the other is meta-analysis or review based on literature search. Postma concluded that, after the treatment of inspiratory muscle impedance, the maximum inspiratory pressure and mental state of 40 patients with SCI had a short-term improvement [64]. Rutchik et al. conducted respiratory muscle confrontation training for 10 patients with cervical spinal cord injury for 8 weeks.
en, they calculated that these patients' mechanical parameters such as vital capacity, maximum inspiratory pressure, and functional residual capacity all increased [71]. Also, meta-analysis results showed that RMT is more effective than traditional rehabilitation methods in improving vital capacity, inspiratory capacity, maximum inspiratory pressure, and maximum voluntary ventilation [63]. In general, RMT can effectively reduce the probability of lung infection in patients with SCI and improve lung function. erefore, RMT is worth promoting in the clinic.

Discussion
Currently, various techniques of respiratory function reconstruction of SCI have been widely used in clinical practice, effectively maintaining the lives of some patients. However, the shortcomings and limitations of these technologies have led to many patients not being able to get treatment or poor treatment results. MV is the preferred method of restoring respiratory function in patients with SCI. It can provide temporary respiratory support and continue the patients' life. However, this is a way to help patients breathe passively and cannot help patients with spontaneous breathing function. At the same time, prolonged mechanical ventilation can cause problems such as bedsores, respiratory infections, and airway secretion clearance problem [72]. Compared to MV, DP can restore the patients' language function and social ability and reduce the economic burden [73,74]. e cost of performing diaphragmatic pacing is expensive. e price of each type of DP is between US$50000-60000 [4]. Surgery, hospitalisation, and follow-up costs add another US$20000 [4]. erefore, DP is more likely to be accepted by patients with SCI. e prerequisite for breathing muscle training is that the patient has a certain ability to breathe spontaneously, which causes that respiratory muscle training can only be used as an auxiliary respiratory function rehabilitation treatment for patients with mild SCI.
Overall, the recovery of respiratory function for SCI is developing in a direction that is meeting the physiological needs of patients. DP is the most effective in improving participants' quality of life and happiness among the three treatments. However, some unavoidable fatal disadvantages of DP, such as equipment failure, postoperative infection, and unknown neurological damage, need to be urgently addressed [24]. e development of microelectronic technology has promoted the improvement of the control function and expansion function of the single-chip microcomputer, which has also been widely used in medical instruments and equipment. Meanwhile, modern control theory achieves fast response and stability of complex systems with time-varying and multivariable [75][76][77][78]. e medical hardware platform based on single-chip technology can accurately process and recognize the biological signals of the human body in real time [79,80]. Zbrzeski developed a multifunctional hardware platform to realise the real-time collection, calculation, display, and storage of biological signals and then applied it to the animal model of DP.
For the current open-loop DP system not responding to changes in equipment components and physiological needs, some researchers [81,82] have proposed to establish a closed-loop diaphragm pacing system relying on changes in respiratory airflow ( Figure 12). Nevertheless, closed-loop DP has not yet appeared on the market and in clinical applications.
e PG/PS controller [81,83], containing two modules PG and PS, builds a closed-loop diaphragm pacing system. e pacing cycle is set in the PG module, and the PS module adaptively adjusts the stimulation parameters with the change of actual respiratory airflow to make ideal respiratory airflow.
e PS module consists of a single-layer neural network, in which each neuron outputs a raised cosine function (y j (t)) as a basic function. e output value Z(t) of PS is the sum of the weighted values (ω j (t)) of the basic functions: Figure 11: Respiratory muscle training posture [65]. e patient holds the device with his lips, bites his mouth, and tries to blow into the device. Figure 10: Expiratory muscle trainer [65]. It sets a pressure threshold through a spring-controlled check valve to enhance expiratory muscle strength. 8 Mathematical Problems in Engineering Also, the EMG signal reflects muscle movement [84] and the respiratory parameters can also be evaluated through the characteristics of the diaphragm EMG signal [85,86]. erefore, using the surface diaphragmatic myoelectric signal as feedback is also a research direction to establish a closed-loop diaphragmatic pacing system.

Conclusions
High spinal cord injury is one of the most severe injuries, which can lead to death from respiratory failure. is review focuses on respiratory dysfunction in patients with SCI and uses three commonly used devices to restore respiratory function, namely, electrical stimulation, mechanical ventilation, and respiratory muscle training. Compared with the other two treatment methods, electrical stimulation is the most effective treatment method. Improvements in current respiratory therapy for SCI should underline safety, reliability, and intelligence, which means close to human physiology, fewer complications and side effects, and reliable product performance. Real prospects are presented below: (1) Investigate neural signals more meet respiratory physiological patterns. When the pulse signal stimulates the phrenic nerve, the patient produces a rapid ventilation. Hence, a stimulus waveform has the same volume of ventilation as a person's spontaneous breathing should be explored. (2) Improve diaphragmatic pacemaker surgery. Highfrequency spinal cord electrical stimulation is also the development direction of diaphragm pacing in the future due to the advantages of less surgical trauma and closer to the physiological mode. (3) Emphasize joint stimulation between the diaphragm and other respiratory muscles to make the respiratory airflow closer to the normal respiratory airflow.  Figure 12: Animal model of closed-loop diaphragm pacing system [81]. e system controller adjusts the stimulation parameters online based on the error between the measured respiratory airflow and the ideal airflow.

Conflicts of Interest
Mathematical Problems in Engineering 9