Error Bounds for Dynamical Spectral Estimation.

Dynamical spectral estimation is a well-established numerical approach for estimating eigenvalues and eigenfunctions of the Markov transition operator from trajectory data. Although the approach has been widely applied in biomolecular simulations, its error properties remain poorly understood. Here we analyze the error of a dynamical spectral estimation method called "the variational approach to conformational dynamics" (VAC). We bound the approximation error and estimation error for VAC estimates. Our analysis establishes VAC's convergence properties and suggests new strategies for tuning VAC to improve accuracy.

Cardiac cells implanted into a cylindrical, vascularized chamber in vivo: pressure generation and morphology.

We have previously described a model to implant dissociated cells into a cylindrical, vascularized bed in vivo to promote the formation of functional cardiac muscle constructs. We now investigate the cellular organization and the ability of the constructs to generate intra-luminal pressure. Primary cardiac cells were isolated from hearts of 2-3 day old rats, suspended in fibrin gel and inserted into the lumen of silicone tubing. The silicone tubing was then implanted around the femoral vessels in the groin region of recipient animals. After 3 weeks, the constructs were harvested, placed in an in vitro bath and cannulated via the incorporated femoral artery with a pressure transducer for evaluation of intra-luminal pressure dynamics. Histological evaluation showed the presence of a concentric ring of cardiac cells surrounding the femoral vessels. There was also a significant amount of collagen present around cardiac cells. In addition, we observed a significant amount of neovascularization of the explanted constructs. Electron microscopy showed the presence of longitudinally aligned fibers with a large number of gap junctions. Upon electrical stimulation of a single pulse (7 V, 1.2 ms), the constructs generated an intra-luminal pressure of 1.19 +/- 0.45 mmHg (n = 6). In addition, we were able to electrically pace the constructs at frequencies of 0.5-5 Hz. A Starling behavior of the inverse relation between baseline pressure and twitch pressure was observed. Cardiac cells implanted for 3 weeks into the cylindrical vascularized bed formed a tissue construct that demonstrated many of the contractile properties and morphology expected of functioning cardiac tissues.

Methodology for the formation of functional, cell-based cardiac pressure generation constructs in vitro.

We have previously described a model to engineer three-dimensional (3-D) heart muscle in vitro. In the current study, we extend our model of 3-D heart muscle to engineer a functional cell-based cardiac pressure generating construct (CPGC). Tubular constructs were fabricated utilizing a phase separation method with chitosan as the scaffolding material. Primary cardiac cells isolated from rat hearts were plated on the surface of fibrin gels cast in 35 mm tissue culture dishes. CPGCs (N = 8) were formed by anchoring the tubular constructs to the center of the plate with primary cardiac cells seeded in fibrin gels wrapped around the tubular constructs. Intraluminal pressure measurements were evaluated with and without external electrical stimulation and histological evaluation performed. The fibrin gel spontaneously compacted due to the traction force of the cardiac cells. By 14 d after original cell plating, the cardiac cells had completely formed a monolayer around the tubular construct resulting in the formation of a cell-based CPGC. The spontaneous contractility of the CPGC was macroscopically visible and resulted in intraluminal pressure spikes of 0.08 mmHg. Upon electrical stimulation, the CPGCs generated twitch pressures of up to 0.05 mmHg. In addition, the CPGC constructs were electrically paced at frequencies of up to 3 Hz. Histological evaluation showed the presence of a continuous cell monolayer around the surface of the tubular construct. In this study, we describe a novel in vitro method to engineer functional cell-based CPGCs and demonstrate several physiological metrics of functional performance.

Excitability of skeletal muscle during development, denervation, and tissue culture.

A quantitative understanding of the bulk excitability of skeletal muscle tissues is important for the design of muscle tissue bioreactor systems, implantable muscle stimulators, and other systems where electrical pulses are employed to elicit contractions in muscle tissue both in vitro and in vivo. The purpose of the present study is to systematically compare the excitability of mammalian (rat) skeletal muscle under a range of conditions (including neonatal development, denervation, and chronic in vivo stimulation of denervated muscle) and of self-organized muscle tissue constructs engineered in vitro from both primary cells and cell lines. Excitability is represented by rheobase (R(50), units = V/mm) and chronaxie (C(50), units = microseconds) values, with lower values for each indicating greater excitability. Adult skeletal muscle is the most excitable (R(50) ~ 0.29, C(50) ~ 100); chronically denervated whole muscles (R(50) ~ 2.54, C(50) ~ 690) and muscle engineered in vitro from cell lines (C2C12 + 10T1/2) (R(50) ~ 1.93, C(50) ~ 416) have exceptionally low excitability; muscle engineered in vitro from primary myocytes (R(50) ~ 0.99, C(50) ~ 496) has excitability similar to that of day 14 neonatal rat muscle (R(50) ~ 0.65, C(50) ~ 435); stimulated-denervated muscles retain excellent excitability when chronically electrically stimulated (R(50) ~ 0.40, C(50) ~ 100); and neonatal rat muscle excitability improves during the first 6 weeks of development, steadily approaching that of adult muscle.

Neurotization improves contractile forces of tissue-engineered skeletal muscle.

Engineered functional skeletal muscle would be beneficial in reconstructive surgery. Our previous work successfully generated 3-dimensional vascularized skeletal muscle in vivo. Because neural signals direct muscle maturation, we hypothesized that neurotization of these constructs would increase their contractile force. Additionally, should neuromuscular junctions (NMJs) develop, indirect stimulation (via the nerve) would be possible, allowing for directed control. Rat myoblasts were cultured, suspended in fibrin gel, and implanted within silicone chambers around the femoral vessels and transected femoral nerve of syngeneic rats for 4 weeks. Neurotized constructs generated contractile forces 5 times as high as the non-neurotized controls. Indirect stimulation via the nerve elicited contractions of neurotized constructs. Curare administration ceased contraction in these constructs, providing physiologic evidence of NMJ formation. Histology demonstrated intact muscle fibers, and immunostaining positively identified NMJs. These results indicate that neurotization of engineered skeletal muscle significantly increases force generation and causes NMJs to develop, allowing indirect muscle stimulation.

Electrical stimulation prior to delayed reinnervation does not enhance recovery in muscles of rats.

PURPOSE: Prolonged denervation of skeletal muscles results in atrophy and poor recovery of motor function following delayed reinnervation. Electrical stimulation reduces denervation atrophy. We hypothesized that electrical stimulation of denervated extensor digitorum longus (EDL) muscles during a prolonged period between nerve axotomy and opportunity for reinnervation by motoneurons after nerve-repair would enhance the recovery of muscle mass, force and motor-function. METHODS: The EDL muscles of rats were denervated for 3.5 months by peroneal nerve axotomy, then repaired with an end-to-end neurorrhaphy, and allowed to recover for 6.5 months. During the period of denervation, some of the rats received a protocol of electrical stimulation that had previously been shown to dramatically attenuate the effects of denervation atrophy through 4 months. Other experimental groups included unoperated control muscles, denervated muscles, and axotomy followed immediately by nerve-repair. Final evaluations included walking track analysis, maximum force measured in situ by indirect stimulation of the nerve, and muscle mass. RESULTS: The hypothesis was not supported. Electrical stimulation during the period of denervation did not enhance recovery of muscle mass, force or motor function. CONCLUSION: The primary factors that inhibited reinnervation and recovery following delayed reinnervation were not alleviated by the electrical stimulation during the period of muscle denervation.

Electrical stimulation of denervated muscles of rats maintains mass and force, but not recovery following grafting.

PURPOSE: Denervated skeletal muscles lack contractile activity and subsequently lose mass and force generation. Prolonged periods of denervation prior to nerve-implant grafting limit the recovery of mass and force. We hypothesized that electrical stimulation during a period of denervation that maintains mass and force above the levels of denervated muscles enhances the recovery of mass and force following nerve-implant grafting. METHODS: The extensor digitorum longus (EDL) muscles of anesthetized rats were denervated, and a stimulator was implanted. Following 4 or 7 months of denervation, with or without electrical stimulation, the EDL muscles were removed, evaluated in vitro for mass and contractile properties, and then nerve-implant grafted into syngeneic rats. Unoperated, contralateral muscles were also evaluated and grafted. RESULTS: The hypothesis was not supported by the experimental data. Compared with values for 4- or 7-month denervated muscles, the stimulated-denervated muscles maintained higher mass and force, less prolonged time-to-peak tensions and half-relaxation times, and higher excitability. Nevertheless, the recovery of mass and force following grafting was not improved. CONCLUSION: The factors within long-term denervated muscles that hinder recovery following grafting appear to be related primarily to factors associated with the duration of denervation and not to the level of atrophy and weakness prior to grafting.

Comparison of gene expression of 2-mo denervated, 2-mo stimulated-denervated, and control rat skeletal muscles.

Loss of innervation in skeletal muscles leads to degeneration, atrophy, and loss of force. These dramatic changes are reflected in modifications of the mRNA expression of a large number of genes. Our goal was to clarify the broad spectrum of molecular events associated with long-term denervation of skeletal muscles. A microarray study compared gene expression profiles of 2-mo denervated and control extensor digitorum longus (EDL) muscles from 6-mo-old rats. The study identified 121 genes with increased and 7 genes with decreased mRNA expression. The expression of 107 of these genes had not been identified previously as changed after denervation. Many of the genes identified were genes that are highly expressed in skeletal muscles during embryonic development, downregulated in adults, and upregulated after denervation of muscle fibers. Electrical stimulation of denervated muscles preserved muscle mass and maximal force at levels similar to those in the control muscles. To understand the processes underlying the effect of electrical stimulation on denervated skeletal muscles, mRNA and protein expression of a number of genes, identified by the microarray study, was compared. The hypothesis was that loss of nerve action potentials and muscle contractions after denervation play the major roles in upregulation of gene expression in skeletal muscles. With electrical stimulation of denervated muscles, the expression levels for these genes were significantly downregulated, consistent with the hypothesis that loss of action potentials and/or contractions contribute to the alterations in gene expression in denervated skeletal muscles.

Tissue engineering of recellularized small-diameter vascular grafts.

A tissue-engineered small-diameter arterial graft would be of benefit to patients requiring vascular reconstructive procedures. Our objective was to produce a tissue-engineered vascular graft with a high patency rate that could withstand arterial pressures. Rat arteries were acellularized with a series of detergent solutions, recellularized by incubation with a primary culture of endothelial cells, and implanted as interposition grafts in the common femoral artery. Acellular grafts that had not been recellularized were implanted in a separate group of control animals. No systemic anticoagulants were administered. Grafts were explanted at 4 weeks for definitive patency evaluation and histologic examination; 89% of the recellularized grafts and 29% of the control grafts remained patent. Elastin staining demonstrated the preservation of elastic fibers within the media of the acellular grafts before implantation. Immunohistochemical staining of explanted grafts demonstrated a complete layer of endothelial cells on the lumenal surface in grafts that remained patent. Smooth muscle cells were observed to have repopulated the vessel walls. The mechanical properties of the matrix were comparable to native vessels. Such a strategy may present an alternative to autologous harvest of small vessels for use in vascular bypass procedures.

Electrical stimulation attenuates denervation and age-related atrophy in extensor digitorum longus muscles of old rats.

Skeletal muscles of old rats and elderly humans lose muscle mass and maximum force. Denervation is a major cause of age-related muscle atrophy and weakness, because denervated fibers do not contract, and undergo atrophy. At any age, surgical denervation causes even more dramatic muscle atrophy and loss in force than aging does. Electrical stimulation that generates tetanic contractions of denervated muscles reduces the denervation-induced declines. We investigated whether a stimulation protocol that maintains mass and force of denervated extensor digitorum longus muscles of adult rats would also maintain these properties in denervated muscles of old rats during a 2-month period of age-induced declines in these properties. Contractile activity generated by the electrical stimulation eliminated age-related losses in muscle mass and reduced the deficit in force by 50%. These data provide support for the hypothesis that during aging, lack of contractile activity in fibers contributes to muscle atrophy and weakness.

Environmental versus social factors as determinants of growth in nestlings of a communally breeding bird.

Nestlings of the communally breeding Greycrowned Babbler (Pomatostomus temporalis) were studied to discover if supplemental feeding by auxiliary birds at nests enhanced their growth. Growth of wing, bill, tarsus and weight was measured. Growth curves were fitted by computer using a commercial program (MLAB). Our data provided little support for possible sibling competition. A significant component of the variance in asymptote and growth constant for some variables could be attributed to differences among nests. Environmental variables such as temperature and rainfall were much more strongly associated with nestling growth than were the numbers of auxiliary birds feeding broods.

An implantable device for stimulation of denervated muscles in rats.

The purposes of the present study were (1) to develop an implantable device capable of being pre-programmed to generate a protocol of chronic contractions in denervated hind-limb muscles of rats, and (2) to verify the design by implanting the stimulators for five weeks in rats to identify a protocol of stimulation that maintains muscle mass and maximum force in stimulated-denervated extensor digitorum longus (EDL) muscles. This implantable stimulator system did not hinder animal movement or hygiene, and enabled the animals to be housed in regular animal facilities, since neither external equipment nor an externally generated magnetic field was required. The pre-programmable microcontroller allows detailed basic research into the cellular and tissue response to different stimulation protocols. The micropower design of the battery powered device enabled chronic stimulation of denervated EDL muscles for the five weeks of this initial study. Stimulation protocols of 9-11 V pulse amplitude, 0.4 ms bipolar pulse width, 100 Hz, 20 pulses per contraction, and 100 or 300 contractions generated per day maintained muscle mass and maximum force in denervated EDL muscles of rats at values near control values for innervated muscles.

STEM promotion through museum exhibits on cardiac monitoring & cardiac rhythm management.

Formal education in science, technology, engineering and math (STEM) does not successfully engage all of the students who have potential to become skilled in STEM activities and careers. Museum exhibits may be able to reach and engage a broader range of the public. STEM Exhibits that are both understandable and capture the imagination of viewers may contribute toward increased interest in STEM activities. One such topic for such an exhibit could be cardiac pacemakers and cardioverter defibrillators that sustain life. Although museums have existed for centuries, the available types of exhibit designs has dramatically increased in recent decades due to innovations in technology. Science and technology museums have especially taken advantage of the progression of exhibit design to developed new ways to communicate to their viewers. These novel presentation tools allow museums to more effectively convey to and engage viewers. This paper examines the techniques employed by museums in exhibits and considers the practices of several museums with exhibits related to cardiac monitoring (CM) and cardiac rhythm management (CRM).

The community FabLab platform: applications and implications in biomedical engineering.

Skill development in science, technology, engineering and math (STEM) education present one of the most formidable challenges of modern society. The Community FabLab platform presents a viable solution. Each FabLab contains a suite of modern computer numerical control (CNC) equipment, electronics and computing hardware and design, programming, computer aided design (CAD) and computer aided machining (CAM) software. FabLabs are community and educational resources and open to the public. Development of STEM based workforce skills such as digital fabrication and advanced manufacturing can be enhanced using this platform. Particularly notable is the potential of the FabLab platform in STEM education. The active learning environment engages and supports a diversity of learners, while the iterative learning that is supported by the FabLab rapid prototyping platform facilitates depth of understanding, creativity, innovation and mastery. The product and project based learning that occurs in FabLabs develops in the student a personal sense of accomplishment, self-awareness, command of the material and technology. This helps build the interest and confidence necessary to excel in STEM and throughout life. Finally the introduction and use of relevant technologies at every stage of the education process ensures technical familiarity and a broad knowledge base needed for work in STEM based fields. Biomedical engineering education strives to cultivate broad technical adeptness, creativity, interdisciplinary thought, and an ability to form deep conceptual understanding of complex systems. The FabLab platform is well designed to enhance biomedical engineering education.

Detection of respiration in central venous pressure using state machine.

Reliable information from patient monitors enhances treatment for critically ill patients. Redundant sources for information would aid identification of faulty sensors and leads, and improve presentation of physiological data. Respiratory information can be obtained from several sources, including airway pressure and central venous pressure (CVP). CVP signals have been analyzed using frequency information to isolate the respiration related part of the signal or to obtain statistics about respiration. This study uses a state machine algorithm to detect the timing of each cycle of respiration. A state machine has advantages of enforcing a predictable cycle of expiration and inspiration. The detection of respiratory cycles can be done in real-time, allowing identification of irregular periods between inspirations and prolonged periods with no inspiration, for which an alert may be issued. The algorithm was tested on data obtain from the PhysioNet database of recordings from intensive care patients. The airway pressure signal was used to determine the "true values" of the timing of each respiratory cycle for checking the accuracy of the algorithm analyzing the CVP signal. Parameters of the algorithm were found that would result in a true positive value of above 98% for detection of each cycle of respiration from analysis of the CVP signal, compared to analysis of the RESP signal.

Historical development of heat stroke prevention device in the military.

Understanding of core body temperature, heat stress and heat stroke developed progressively over the centuries. Soldiers involved in military operations have a higher risk to develop heat stroke, and to not survive following the onset. This paper follows the evolving understanding of heat stroke and development of counter measures. At certain times in history, incomplete understanding of the causes of heat stroke led to the development of devices that did not lower the risk. As understanding improved, development of improved methods and devices became possible. In the present day, several designs for garments that can lower core body temperature or brain temperature have been developed, and would reduce the risk of heat stroke. These cooling devices include a vest and collar system. Further refinements of these designs to make them more practical would allow wider deployment.

Correlation of respiratory activity of contralateral diaphragm muscles for evaluation of recovery following hemiparesis.

Respiration is impaired by disruption of the central drive for inspiration to the diaphragm muscle (DIAm). Some function may recover involving nerve regeneration, reinnervation or neuroplasticity. A research animal model involves inducing hemiparesis of the DIAm and monitoring any recovery under different conditions. Methods to accurately track the level of functional recovery are needed. In this study, an algorithm was developed and tested to quantify the relative amount of electromyogram (EMG) activity that temporally correlated for an experimental (EXP) hemi-DIAm with its intact contralateral hemi-DIAm. An average rectified value (ARV) trace was calculated. A template was formed of the ARV trace of the intact hemi-DIAm, with higher positive values corresponding with periods of inspirations and lower negative values corresponding with quiet periods. This template was multiplied by the EXP ARV trace to reward (more positive) periods of correlating activity, and punish (more negative) periods of high activity on the EXP side that corresponded with quiet periods on the intact side. The average integrated value was the index of correlating contralateral activity (I(CCA)). A negative I(CCA) value indicated no net correlation of activity, and a positive value indicated a net correlation of activity. The algorithm was tested on rats having the conditions of control or hemi-paresis induced by denervatation (DNV), tetrodotoxin administration (TTX) or cervical spinal hemi-section (SH). Control had high positive I(CCA) values, and DNV had negative values. TTX maintained negative I(CCA) values at 3, 7 and 14 days, indicating a lack of functional recovery. SH maintained negative values at 3 and 7 days, but a subset had positive values at 14 days indicating some functional recovery.

Microelectrical sensors as emerging platforms for protein biomarker detection in point-of-care diagnostics.

Current methods used to measure protein expression on microarrays, such as labeled fluorescent imaging, are not well suited for real-time, diagnostic measurements at the point of care. Studies have shown that microelectrical sensors utilizing silica nanowire, impedimetric, surface acoustic wave, magnetic nanoparticle and microantenna technologies have the potential to impact disease diagnosis by offering sensing characteristics that rival conventional sensing techniques. Their ability to transduce protein binding events into electrical signals may prove essential for the development of next-generation point-of-care devices for molecular diagnostics, where they could be easily integrated with microarray, microfluidic and telemetry technologies. However, common limitations associated with the microelectrical sensors, including problems with sensor fabrication and sensitivity, must first be resolved. This review describes governing technical concepts and provides examples demonstrating the use of various microelectrical sensors in the diagnosis of disease via protein biomarkers.

EMG-based detection of inspiration in the rat diaphragm muscle.

An algorithm to detect the timing of each breath from an electromyogram (EMG) signal was developed. The algorithm has low computation cost and would be suitable for applications of implantable diaphragm pacing devices or as a trigger for each breath generated by a mechanical ventilator. The algorithm was implemented both in a Lab View program on a desktop computer and in a C program on a microcontroller chip, and was tested on the EMG signal from the left diaphragm muscle of an anesthetized rat via implanted electrodes. The breath detection by the algorithm was over 99% accurate when the anesthetized rat was lying still, but for periods when the rat was gently wiggled to introduce noise and irregular breathing patterns, 19% of the breaths were missed and false positives occurred 6% of the time.

Tissue-engineered axially vascularized contractile skeletal muscle.

BACKGROUND: As tissue-engineered muscle constructs increase in scale, their size is limited by the need for a vascular supply. In this work, the authors demonstrate a method of producing three-dimensional contractile skeletal muscles in vivo by incorporating an axial vascular pedicle. METHODS: Primary myoblast cultures were generated from adult F344 rat soleus muscle. The cells were suspended in a fibrinogen hydrogel contained within cylindrical silicone chambers, and situated around the femoral vessels in isogeneic adult recipient rats. The constructs were allowed to incubate in vivo for 3 weeks, at which point they were explanted and subjected to isometric force measurements and histologic evaluation. RESULTS: The resulting three-dimensional engineered skeletal muscle constructs produced longitudinal contractile force when electrically stimulated. Length-tension, force-voltage, and force-frequency relationships were similar to those found in developing skeletal muscle. Desmin staining demonstrated that individual myoblasts had undergone fusion to form multinucleated myotubes. Von Willebrand staining showed that the local environment within the chamber was richly angiogenic, and capillaries had grown into and throughout the constructs from the femoral artery and vein. CONCLUSIONS: Three-dimensional, vascularized skeletal muscle can be engineered in vivo. The resulting tissues have histologic and functional properties consistent with native skeletal muscle.