Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 517

Search results for: John Caputo

517 Caputo-Type Fuzzy Fractional Riccati Differential Equations with Fuzzy Initial Conditions

Authors: Trilok Mathur, Shivi Agarwal

Abstract:

This paper deals with the solutions of fuzzy-fractional-order Riccati equations under Caputo-type fuzzy fractional derivatives. The Caputo-type fuzzy fractional derivatives are defined based on Hukuhura difference and strongly generalized fuzzy differentiability. The Laplace-Adomian-Pade method is used for solving fractional Riccati-type initial value differential equations of fractional order. Moreover, we also displayed some examples to illustrate our methods.

Keywords: Caputo-type fuzzy fractional derivative, Fractional Riccati differential equations, Laplace-Adomian-Pade method, Mittag Leffler function

Procedia PDF Downloads 292
516 A Coupled System of Caputo-Type Katugampola Fractional Differential Equations with Integral Boundary Conditions

Authors: Yacine Arioua

Abstract:

In this paper, we investigate the existence and uniqueness of solutions for a coupled system of nonlinear Caputo-type Katugampola fractional differential equations with integral boundary conditions. Based upon a contraction mapping principle, Schauders fixed point theorems, some new existence and uniqueness results of solutions for the given problems are obtained. For application, some examples are given to illustrate the usefulness of our main results.

Keywords: fractional differential equations, coupled system, Caputo-Katugampola derivative, fixed point theorems, existence, uniqueness

Procedia PDF Downloads 62
515 A Psycholinguistic Analysis of John Nash’s Hallucinations as Represented in the Film “A Beautiful Mind”

Authors: Rizkia Shafarini

Abstract:

The film A Beautiful Mind explores hallucination in this study. A Beautiful Mind depicts the tale of John Nash, a university student who dislikes studying in class or prefers to study alone. Throughout his life, John Nash has hallucinated, or what is known as schizophrenia, as depicted in the film A Beautiful Mind. The goal of this study was to figure out what hallucinations were, what caused them, and how John Nash managed his hallucinations. In general, this study examines the link between language and mind, or the linguistic relationship portrayed in John Nash's character's speech, as evidenced by his conduct. This study takes a psycholinguistic approach to data analysis by employing qualitative methodologies. Data sources include talks and scenes from the film A Beautiful Mind. Hearing, seeing, and feeling are the scientific results of John Nash's hallucinations in the film A Beautiful Mind. Second, dreams, aspirations, and sickness are the sources of John Nash's hallucinations. Third, John Nash's method of managing hallucinations is to see a doctor without medical or distracting assistance.

Keywords: A Beautiful Mind, hallucination, psycholinguistic, John Nash

Procedia PDF Downloads 11
514 A Dynamical Study of Fractional Order Obesity Model by a Combined Legendre Wavelet Method

Authors: Hakiki Kheira, Belhamiti Omar

Abstract:

In this paper, we propose a new compartmental fractional order model for the simulation of epidemic obesity dynamics. Using the Legendre wavelet method combined with the decoupling and quasi-linearization technique, we demonstrate the validity and applicability of our model. We also present some fractional differential illustrative examples to demonstrate the applicability and efficiency of the method. The fractional derivative is described in the Caputo sense.

Keywords: Caputo derivative, epidemiology, Legendre wavelet method, obesity

Procedia PDF Downloads 293
513 Linear fractional differential equations for second kind modified Bessel functions

Authors: Jorge Olivares, Fernando Maass, Pablo Martin

Abstract:

Fractional derivatives have been considered recently as a way to solve different problems in Engineering. In this way, second kind modified Bessel functions are considered here. The order α fractional differential equations of second kind Bessel functions, Kᵥ(x), are studied with simple initial conditions. The Laplace transform and Caputo definition of fractional derivatives are considered. Solutions have been found for ν=1/3, 1/2, 2/3, -1/3, -1/2 and (-2/3). In these cases, the solutions are the sum of two hypergeometric functions. The α fractional derivatives have been for α=1/3, 1/2 and 2/3, and the above values of ν. No convergence has been found for the integer values of ν Furthermore when α has been considered as a rational found m/p, no general solution has been found. Clearly, this case is more difficult to treat than those of first kind Bessel Function.

Keywords: Caputo, modified Bessel functions, hypergeometric, linear fractional differential equations, transform Laplace

Procedia PDF Downloads 231
512 Nonhomogeneous Linear Fractional Differential Equations Will Bessel Functions of the First Kind Giving Hypergeometric Functions Solutions

Authors: Fernando Maass, Pablo Martin, Jorge Olivares

Abstract:

Fractional derivatives have become very important in several areas of Engineering, however, the solutions of simple differential equations are not known. Here we are considering the simplest first order nonhomogeneous differential equations with Bessel regular functions of the first kind, in this way the solutions have been found which are hypergeometric solutions for any fractional derivative of order α, where α is rational number α=m/p, between zero and one. The way to find this result is by using Laplace transform and the Caputo definitions of fractional derivatives. This method is for values longer than one. However for α entire number the hypergeometric functions are Kumer type, no integer values of alpha, the hypergeometric function is more complicated is type ₂F₃(a,b,c, t2/2). The argument of the hypergeometric changes sign when we go from the regular Bessel functions to the modified Bessel functions of the first kind, however it integer seems that using precise values of α and considering no integers values of α, a solution can be obtained in terms of two hypergeometric functions. Further research is required for future papers in order to obtain the general solution for any rational value of α.

Keywords: Caputo, fractional calculation, hypergeometric, linear differential equations

Procedia PDF Downloads 102
511 When Talk Is the Cure for the Morning After: Talking Therapy in Conor Mcpherson’s Dublin Carol and Shining City

Authors: Maha Hamoud Alatawi

Abstract:

Drawing on the work of John McLeod and Ariel Watson, this paper explains the relationship between narrative and psychotherapy in two plays by the Irish playwright Conor McPherson. Dublin Carol presents John’s chequered past through his reminiscences of alcohol addiction and Shining City tells the story of John who is haunted by the ghost of his wife, recently died in a car accident, and who seeks the help of Ian, a therapist. At first, the significance of storytelling as an integral part of Irish culture is highlighted. Such a tradition features prominently in contemporary Irish drama. The paper concludes that it is the power of narrative and its therapeutic impact and not the act of psychotherapy and treatment which brings signs of change to characters’ lives.

Keywords: Conor McPherson, drama, psychotherapy, storytelling

Procedia PDF Downloads 203
510 An East-West Trans-Cultural Study: Zen Enlightenment in Asian and John Cage's Visual Arts

Authors: Yu-Shun Elisa Pong

Abstract:

American composer John Cage (1912-1992) is an influential figure in musical, visual and performing arts after World War II and has also been claimed as a forerunner of the western avant-garde in the artistic field. However, the crucial factors contributed to his highly acclaimed achievements include the Zen enlightenment, which he mainly got from Japanese Zen master D. T. Suzuki (1870-1966). As a kind of reflection and afterthought of the Zen inspiration, John Cage created various forms of arts in which visual arts have recently attracted more and more attention and discussion, especially from the perspectives of Zen. John Cage had started to create visual art works since he was 66 years old and the activity had lasted until his death. The quality and quantity of the works are worthy of in-depth study— the 667 pieces of print, 114 pieces of water color, and about 150 pieces of sketch. Cage’s stylistic changes during the 14 years of creation are quite obvious, and the Zen elements in the later works seem to be omnipresent. Based on comparative artistic study, a historical and conceptual view of Zen art that was formed initially in the traditional Chinese and Japanese visual arts will be discussed. Then, Chinese and Japanese representative Zen works will be mentioned, and the technique aspect, as well as stylistic analysis, will be revealed. Finally, a comprehensive comparison of the original Oriental Zen works with John Cage’s works and focus on the influence, and art transformation will be addressed. The master pieces from Zen tradition by Chinese artists like Liang Kai (d. 1210) and Ma Yuan (1160-1225) from Southern Sung Dynasty, the Japanese artists like Sesshū (1420-1506), Miyamoto Musashi (1584-1645) and some others would be discussed. In the current study, these art works from different periods of historical development in Zen will serve as the basis of analogy, interpretation, and criticism to Cage's visual art works. Through the perspectives of the Zen authenticity from Asia, we see how John Cage appropriated the eastern culture to his innovation, which changed the art world forever. And it is believed that through a transition from inter-, cross-, toward trans-cultural inspiration, John Cage set up a unique pathway of art innovations.

Keywords: John Cage, Chinese Zen art, Japanese Zen art, visual art

Procedia PDF Downloads 395
509 A New Fuzzy Fractional Order Model of Transmission of Covid-19 With Quarantine Class

Authors: Asma Hanif, A. I. K. Butt, Shabir Ahmad, Rahim Ud Din, Mustafa Inc

Abstract:

This paper is devoted to a study of the fuzzy fractional mathematical model reviewing the transmission dynamics of the infectious disease Covid-19. The proposed dynamical model consists of susceptible, exposed, symptomatic, asymptomatic, quarantine, hospitalized and recovered compartments. In this study, we deal with the fuzzy fractional model defined in Caputo’s sense. We show the positivity of state variables that all the state variables that represent different compartments of the model are positive. Using Gronwall inequality, we show that the solution of the model is bounded. Using the notion of the next-generation matrix, we find the basic reproduction number of the model. We demonstrate the local and global stability of the equilibrium point by using the concept of Castillo-Chavez and Lyapunov theory with the Lasalle invariant principle, respectively. We present the results that reveal the existence and uniqueness of the solution of the considered model through the fixed point theorem of Schauder and Banach. Using the fuzzy hybrid Laplace method, we acquire the approximate solution of the proposed model. The results are graphically presented via MATLAB-17.

Keywords: Caputo fractional derivative, existence and uniqueness, gronwall inequality, Lyapunov theory

Procedia PDF Downloads 30
508 Plant as an Alternative for Anti Depressant Drugs St John's Wort

Authors: Mahdi Akhbardeh

Abstract:

St John's wort plant can help to treat depression disease through decreasing this disease symptom, due to having some similar features of Prozac (Fluoxetine Hcl) pill. People suffering from slight depression who have fear of using antidepressants side effects can use St John's wort drops under doctor observation. This method of treatment is proposed specially to those women who are spending menopause or depression resulted from this period. St John's wort plant have proposed traditional and plant medicine as newest researches in treating mood disorders compared to Prozac (Fluoxetine Hcl) drug in treating depression disease which is being administrated in clinic research center of Washington. Objective: the aim of this study is to find an alternative treatment method in people suffering from depression which are treated with Prozac (Fluoxetine Hcl). Almost 70 percent of treatment failures with Prozac (Fluoxetine Hcl) drug in patients suffering from slight to normal depression is due to intensive side effects including: decrease in blood pressure, reduce in sexual desire and 30 percent of it is due to this drug affectless in treatment procedure which leads to leaving treatment. Results of Hypercuim plant function are exactly similar to antidepressants. Increase in serotonin amount in brain synopsis terminal end causes increase in existence time of this material in this part. In fact these two drugs have similar function. Though side effects of Hypercuim plant(St John's wort) including headache and slight nausea tolerable. Results: St John's wort plant can be used lonely in slight to normal depressions in which patients are avoiding Prozac (Fluoxetine Hcl) drug due to it's side effects. In intensive depressions through which general patients don’t indicate positive response to drug, it is probably expected relative or even complete treatment through combining antidepressants drugs with this plant. This treatment method has been investigated and confirmed in clinical tests and researches.

Keywords: depression, St John's wort, Prozac, antidepressant

Procedia PDF Downloads 375
507 Globally Attractive Mild Solutions for Non-Local in Time Subdiffusion Equations of Neutral Type

Authors: Jorge Gonzalez Camus, Carlos Lizama

Abstract:

In this work is proved the existence of at least one globally attractive mild solution to the Cauchy problem, for fractional evolution equation of neutral type, involving the fractional derivate in Caputo sense. An almost sectorial operator on a Banach space X and a kernel belonging to a large class appears in the equation, which covers many relevant cases from physics applications, in particular, the important case of time - fractional evolution equations of neutral type. The main tool used in this work was the Hausdorff measure of noncompactness and fixed point theorems, specifically Darbo-type. Initially, the equation is a Cauchy problem, involving a fractional derivate in Caputo sense. Then, is formulated the equivalent integral version, and defining a convenient functional, using the analytic integral resolvent operator, and verifying the hypothesis of the fixed point theorem of Darbo type, give us the existence of mild solution for the initial problem. Furthermore, each mild solution is globally attractive, a property that is desired in asymptotic behavior for that solution.

Keywords: attractive mild solutions, integral Volterra equations, neutral type equations, non-local in time equations

Procedia PDF Downloads 57
506 Effects of the Fractional Order on Nanoparticles in Blood Flow through the Stenosed Artery

Authors: Mohammed Abdulhameed, Sagir M. Abdullahi

Abstract:

In this paper, based on the applications of nanoparticle, the blood flow along with nanoparticles through stenosed artery is studied. The blood is acted by periodic body acceleration, an oscillating pressure gradient and an external magnetic field. The mathematical formulation is based on Caputo-Fabrizio fractional derivative without singular kernel. The model of ordinary blood, corresponding to time-derivatives of integer order, is obtained as a limiting case. Analytical solutions of the blood velocity and temperature distribution are obtained by means of the Hankel and Laplace transforms. Effects of the order of Caputo-Fabrizio time-fractional derivatives and three different nanoparticles i.e. Fe3O4, TiO4 and Cu are studied. The results highlights that, models with fractional derivatives bring significant differences compared to the ordinary model. It is observed that the addition of Fe3O4 nanoparticle reduced the resistance impedance of the blood flow and temperature distribution through bell shape stenosed arteries as compared to TiO4 and Cu nanoparticles. On entering in the stenosed area, blood temperature increases slightly, but, increases considerably and reaches its maximum value in the stenosis throat. The shears stress has variation from a constant in the area without stenosis and higher in the layers located far to the longitudinal axis of the artery. This fact can be an important for some clinical applications in therapeutic procedures.

Keywords: nanoparticles, blood flow, stenosed artery, mathematical models

Procedia PDF Downloads 167
505 Multiple Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation

Authors: A. Guezane-Lakoud, S. Bensebaa

Abstract:

In this paper, we study a boundary value problem of nonlinear fractional differential equation. Existence and positivity results of solutions are obtained.

Keywords: positive solution, fractional caputo derivative, Banach contraction principle, Avery and Peterson fixed point theorem

Procedia PDF Downloads 332
504 Existence of Minimal and Maximal Mild Solutions for Non-Local in Time Subdiffusion Equations of Neutral Type

Authors: Jorge Gonzalez-Camus

Abstract:

In this work is proved the existence of at least one minimal and maximal mild solutions to the Cauchy problem, for fractional evolution equation of neutral type, involving a general kernel. An operator A generating a resolvent family and integral resolvent family on a Banach space X and a kernel belonging to a large class appears in the equation, which covers many relevant cases from physics applications, in particular, the important case of time - fractional evolution equations of neutral type. The main tool used in this work was the Kuratowski measure of noncompactness and fixed point theorems, specifically Darbo-type, and an iterative method of lower and upper solutions, based in an order in X induced by a normal cone P. Initially, the equation is a Cauchy problem, involving a fractional derivate in Caputo sense. Then, is formulated the equivalent integral version, and defining a convenient functional, using the theory of resolvent families, and verifying the hypothesis of the fixed point theorem of Darbo type, give us the existence of mild solution for the initial problem. Furthermore, the existence of minimal and maximal mild solutions was proved through in an iterative method of lower and upper solutions, using the Azcoli-Arzela Theorem, and the Gronwall’s inequality. Finally, we recovered the case derivate in Caputo sense.

Keywords: fractional evolution equations, Volterra integral equations, minimal and maximal mild solutions, neutral type equations, non-local in time equations

Procedia PDF Downloads 77
503 Bionaut™: A Microrobotic Drug-Device Platform for the Local Treatment of Brainstem Gliomas

Authors: Alex Kiselyov, Suehyun Cho, Darrell Harrington; Florent Cros, Olin Palmer, John Caputo, Michael Kardosh, Eran Oren, William Loudon, Michael Shpigelmacher

Abstract:

Despite the most aggressive surgical and adjuvant therapeutic strategies, treatment of both pediatric and adult brainstem tumors remains problematic. Novel strategies, including targeted biologics, immunotherapy, and specialized delivery systems such as convection-enhanced delivery (CED), have been proposed. While some of these novel treatments are entering phase I trials, the field is still in need of treatment(s) that exhibits dramatically enhanced potency with optimal therapeutic ratio. Bionaut Labs has developed a modular microrobotic platform for performing localized delivery of diverse therapeutics in vivo. Our biocompatible particles (Bionauts™) are externally propelled and visualized in real-time. Bionauts™ are specifically designed to enhance the effect of radiation therapy via anatomically precise delivery of a radiosensitizing agent, as exemplified by temozolomide (TMZ) and Avastin™ to the brainstem gliomas of diverse origin. The treatment protocol is designed to furnish a better therapeutic outcome due to the localized (vs systemic) delivery of the drug to the neoplastic lesion(s) for use as a synergistic combination of radiation and radiosensitizing agent. In addition, the procedure is minimally invasive and is expected to be appropriate for both adult and pediatric patients. Current progress, including platform optimization, selection of the lead radiosensitizer as well as in vivo safety studies of the Bionauts™ in large animals, specifically the spine and the brain of porcine and ovine models, will be discussed.

Keywords: Bionaut, brainstem, glioma, local delivery, micro-robot, radiosensitizer

Procedia PDF Downloads 57
502 Existence Solutions for Three Point Boundary Value Problem for Differential Equations

Authors: Mohamed Houas, Maamar Benbachir

Abstract:

In this paper, under weak assumptions, we study the existence and uniqueness of solutions for a nonlinear fractional boundary value problem. New existence and uniqueness results are established using Banach contraction principle. Other existence results are obtained using scheafer and krasnoselskii's fixed point theorem. At the end, some illustrative examples are presented.

Keywords: caputo derivative, boundary value problem, fixed point theorem, local conditions

Procedia PDF Downloads 349
501 Eliminating Arm, Neck and Leg Fatigue of United Asia International Plastics Corporation Workers through Rapid Entire Body Assessment

Authors: John Cheferson R. De Belen, John Paul G. Elizares, Ronald John G. Raz, Janina Elyse A. Reyes, Charie G. Salengua, Aristotle L. Soriano

Abstract:

Plastic is a type of synthetic or man-made polymer that can readily be molded into a variety of products. Its usage over the past century has enabled society to make huge technological advances. The workers of United Asia International Plastics Corporation (UAIPC), a plastic manufacturing company performs manual packaging which causes fatigue and stress on their arm, neck, and legs due to extended periods of standing and repetitive motions. With the use of the Fishbone Diagram, Five-Why Analysis, Rapid Entire Body Assessment (REBA), and Anthropometry, the stressful tasks and activities were identified and analyzed. Given the anthropometric measurements obtained from the workers, improved dimensions for the tables and chairs should be used and provide a new packaging machine. The validation of this proposal shall follow after its implementation. By eliminating fatigue during working hours in the production, the workers will be at ease at performing their work properly; productivity will increase that will lead to more profit. Further areas for study include measurement and comparison of the worker’s anthropometric measurement with the industry standard.

Keywords: anthropometry, fishbone diagram, five-why analysis, rapid entire body assessment

Procedia PDF Downloads 155
500 Creating a Virtual Perception for Upper Limb Rehabilitation

Authors: Nina Robson, Kenneth John Faller II, Vishalkumar Ahir, Arthur Ricardo Deps Miguel Ferreira, John Buchanan, Amarnath Banerjee

Abstract:

This paper describes the development of a virtual-reality system ARWED, which will be used in physical rehabilitation of patients with reduced upper extremity mobility to increase limb Active Range of Motion (AROM). The ARWED system performs a symmetric reflection and real-time mapping of the patient’s healthy limb on to their most affected limb, tapping into the mirror neuron system and facilitating the initial learning phase. Using the ARWED, future experiments will test the extension of the action-observation priming effect linked to the mirror-neuron system on healthy subjects and then stroke patients.

Keywords: physical rehabilitation, mirror neuron, virtual reality, stroke therapy

Procedia PDF Downloads 318
499 The Co-Existence of Multidominance and Movement in the Syntax of Chinese Bi-Comparatives

Authors: Yaqing Hu

Abstract:

This paper puts forward a syntactic analysis involving multidominance and rightward movement in Chinese bi-comparatives, as in 'Yuehan bi Mali gao (John is taller than Mary).' It is argued here that the predicate of comparison is a shared constituent in two small clauses, namely one for the target and one for the standard; and then it moves rightward to form a degree phrase with the comparative morpheme. This proposal comes from four aspects. First, the example above can also be expressed in this way, 'A: Yuehan he Mali, shui gao? (John and Mary, who is taller?) B: Yuehan gao./Yuehan geng gao. (John is taller).' This shows that the gradable adjective is predicated of the target. In addition, according to a constraint on Chinese bi-comparatives, namely the target and the standard must be arguments of the predicate simultaneously, it is not unreasonable to assume that the gradable adjective may also be predicated of the standard. Second, subcomparatives are totally disallowed in Chinese, as in '*zhe-zhang zhuozi bi zhe-zhang yizi kuan chang. (This table is longer than this chair is wide.)' In order to save it from ungrammaticality, the target and the standard should be compared along the same dimension denoted by the gradable adjective. It may follow that in Chinese comparatives, having equal roles in the same eventuality, the target and the standard bear the same thematic relationship with the predicate of comparison. Third, verb-copy can appear in Chinese bi-comparatives, as in 'Yuehan qi ma bi Mali qi ma qi de kuai. (John rides horses faster than Mary does.)' The predicate qi seems to form a small clause with both the target and the standard. This might be supporting evidence that both the target and the standard share the predicate of comparison. Fourth, Chinese comparatives do have comparative morphemes, as in 'Yuehan bi Mali geng gao. (John is taller than Mary)', which is semantically equivalent to the first example above. Thus, it follows that one feature of Chinese comparative morphemes is that they can remain overt or covert in the syntax, which will not affect semantics. This further shows that comparative morphemes in bi-comparatives may not be able to saturate the degree argument denoted by the predicate of comparison due to its optionality in the structure. These four aspects present a challenge to the Direct Analysis used in Chinese comparatives since this approach would presume that the target and the standard somehow show independency with the predicate in the syntax. Meanwhile, this study also rejects the previous analysis of multidomiance in bi-comparatives in which the degree phrase comprised of the comparative morpheme and the gradable adjective may be shared by the standard when the comparative morpheme is covert. This syntactic analysis proposed in this study will therefore offer a different perspective of how to treat degree phrase in Chinese comparatives and may offer evidence to argue whether there is degree phrase movement in bi-comparatives as in its English counterparts.

Keywords: Chinese comparatives, degree phrase, movement, multidominance, syntactic analysis

Procedia PDF Downloads 231
498 Formation of Round Channel for Microfluidic Applications

Authors: A. Zahra, G. de Cesare, D. Caputo, A. Nascetti

Abstract:

PDMS (Polydimethylsiloxane) polymer is a suitable material for biological and MEMS (Microelectromechanical systems) designers, because of its biocompatibility, transparency and high resistance under plasma treatment. PDMS round channel is always been of great interest due to its ability to confine the liquid with membrane type micro valves. In this paper we are presenting a very simple way to form round shape microfluidic channel, which is based on reflow of positive photoresist AZ® 40 XT. With this method, it is possible to obtain channel of different height simply by varying the spin coating parameters of photoresist.

Keywords: lab-on-chip, PDMS, reflow, round microfluidic channel

Procedia PDF Downloads 327
497 Navigating Politics of Black Marginalization: A Critical Reflection of the Guardian by John Grisham

Authors: Fayaz Ali Shah, Aleena Shehzad

Abstract:

The incidents of race or racial discrimination is still a part of the advanced and the so-called twenty-first-century America. It not only affects America's society but also greatly influences the third world countries due to the colonial approach by the British and America. Due to this discrimination, hundreds of Blacks in the US have been disappeared or prisoned for crimes they have not committed. The same sort of inequality can be seen in Pakistan due to the discrimination and prejudice by the Pakistani government and militants. Especially the tribal areas of Pakistan have been facing the worst in such situations. Thousands of people have been disappeared since 9/11 due to the adulterous approach by the government and military. The article is an approach to show the still racist view or Black marginalization, on the paradigm of racism, in the novel 'The Guardian' written by John Grisham. Also, it will enlighten readers about Pakistan's military and government approach towards discrimination, which creates great chaos in the country nowadays. The research will be qualitative and will use Critical Race Theory by Delgado and Steffencic for analysis.

Keywords: blacks, colonial, discrimination, disappeared, prison

Procedia PDF Downloads 66
496 Bionaut™: A Breakthrough Robotic Microdevice to Treat Non-Communicating Hydrocephalus in Both Adult and Pediatric Patients

Authors: Suehyun Cho, Darrell Harrington, Florent Cros, Olin Palmer, John Caputo, Michael Kardosh, Eran Oren, William Loudon, Alex Kiselyov, Michael Shpigelmacher

Abstract:

Bionaut Labs, LLC is developing a minimally invasive robotic microdevice designed to treat non-communicating hydrocephalus in both adult and pediatric patients. The device utilizes biocompatible microsurgical particles (Bionaut™) that are specifically designed to safely and reliably perform accurate fenestration(s) in the 3rd ventricle, aqueduct of Sylvius, and/or trapped intraventricular cysts of the brain in order to re-establish normal cerebrospinal fluid flow dynamics and thereby balance and/or normalize intra/intercompartmental pressure. The Bionaut™ is navigated to the target via CSF or brain tissue in a minimally invasive fashion with precise control using real-time imaging. Upon reaching the pre-defined anatomical target, the external driver allows for directing the specific microsurgical action defined to achieve the surgical goal. Notable features of the proposed protocol are i) Bionaut™ access to the intraventricular target follows a clinically validated endoscopy trajectory which may not be feasible via ‘traditional’ rigid endoscopy: ii) the treatment is microsurgical, there are no foreign materials left behind post-procedure; iii) Bionaut™ is an untethered device that is navigated through the subarachnoid and intraventricular compartments of the brain, following pre-designated non-linear trajectories as determined by the safest anatomical and physiological path; iv) Overall protocol involves minimally invasive delivery and post-operational retrieval of the surgical Bionaut™. The approach is expected to be suitable to treat pediatric patients 0-12 months old as well as adult patients with obstructive hydrocephalus who fail traditional shunts or are eligible for endoscopy. Current progress, including platform optimization, Bionaut™ control, and real-time imaging and in vivo safety studies of the Bionauts™ in large animals, specifically the spine and the brain of ovine models, will be discussed.

Keywords: Bionaut™, cerebrospinal fluid, CSF, fenestration, hydrocephalus, micro-robot, microsurgery

Procedia PDF Downloads 62
495 Bionaut™: A Minimally Invasive Microsurgical Platform to Treat Non-Communicating Hydrocephalus in Dandy-Walker Malformation

Authors: Suehyun Cho, Darrell Harrington, Florent Cros, Olin Palmer, John Caputo, Michael Kardosh, Eran Oren, William Loudon, Alex Kiselyov, Michael Shpigelmacher

Abstract:

The Dandy-Walker malformation (DWM) represents a clinical syndrome manifesting as a combination of posterior fossa cyst, hypoplasia of the cerebellar vermis, and obstructive hydrocephalus. Anatomic hallmarks include hypoplasia of the cerebellar vermis, enlargement of the posterior fossa, and cystic dilatation of the fourth ventricle. Current treatments of DWM, including shunting of the cerebral spinal fluid ventricular system and endoscopic third ventriculostomy (ETV), are frequently clinically insufficient, require additional surgical interventions, and carry risks of infections and neurological deficits. Bionaut Labs develops an alternative way to treat Dandy-Walker Malformation (DWM) associated with non-communicating hydrocephalus. We utilize our discreet microsurgical Bionaut™ particles that are controlled externally and remotely to perform safe, accurate, effective fenestration of the Dandy-Walker cyst, specifically in the posterior fossa of the brain, to directly normalize intracranial pressure. Bionaut™ allows for complex non-linear trajectories not feasible by any conventional surgical techniques. The microsurgical particle safely reaches targets in the lower occipital section of the brain. Bionaut™ offers a minimally invasive surgical alternative to highly involved posterior craniotomy or shunts via direct fenestration of the fourth ventricular cyst at the locus defined by the individual anatomy. Our approach offers significant advantages over the current standards of care in patients exhibiting anatomical challenge(s) as a manifestation of DWM, and therefore, is intended to replace conventional therapeutic strategies. Current progress, including platform optimization, Bionaut™ control, and real-time imaging and in vivo safety studies of the Bionauts™ in large animals, specifically the spine and the brain of ovine models, will be discussed.

Keywords: Bionaut™, cerebral spinal fluid, CSF, cyst, Dandy-Walker, fenestration, hydrocephalus, micro-robot

Procedia PDF Downloads 64
494 Understanding John H. Johnson and Ebony Magazine Financial Responsiveness to Rise of Black Power in the U.S, 1966

Authors: Sid Ahmed Ziane

Abstract:

This paper argues for Johnson's financial responsiveness to the rise of Black Power and its advocate, 'Stokely Carmichael' in 1966. John H. Johnson was a Black businessman and the owner of Ebony magazine, one of the widely read Black magazines in the U.S. His magazine, however, was designed only to promoting Black fashion, aesthetic, marketing, and consumerism. In mid-1966, the mainstream of the Civil Rights movement was heading into two distinct camps when some of its advocates, led by Stokely Carmichael, began to question the slow pace of the Civil Rights and sought to pursue a more radical approach to bring about upheaval to the Black community. Their new approach, however, propelled the national media into paying close attention to their activities, their new methods, and their radical orientations. In fact, the major White-oriented media discredited Carmichael and distorted his public image via sensational stories and race-mongering reports. However, the Black owned outlets such as The Liberator advocated his agendas, whereas other magazines such as The Crisis rejected them. Based on such oral sources and Ebony’s online issues, this paper adds and argues that Johnson had also responded to the rise of Black Power and Carmichael. This reaction had, in fact, aimed at scooping and selling Carmichael and his new orientation as well as advertising him in his magazine to attract the readers who showed a strong tendency to hear and read about the heyday and even the ferment of Black Power. This paper is part of an ongoing project which aims at framing our understanding of how the Black print media and the modern Black liberation struggle were correlated and could shape each other by appraising their agendas, milestones, and their pivotal figures.

Keywords: Black power, Ebony magazine, John Johson, Stokely Carmichael

Procedia PDF Downloads 62
493 Application of Western and Islamic Philosophy to Business Ethics

Authors: Elmamy Ahmedsalem

Abstract:

The world has witnessed the collapse of many corporate giants as a result of unethical behavior in recent decades. This has induced a series of questions by the global community on why such occurrences could happen, even with corporate governance in place. This paper attempts to propose a philosophical approach from an Islamic perspective to be consolidated with current corporate governance in order to confront contemporary dilemmas. In this paper, ethical theories are presented as a discussion followed by their applications to modern cases of financial collapses. Virtue ethics by Aristotle, justice and fairness by John Rawls, deontology by Immanuel Kant, and utilitarianism by John Stuart Mill, are the four theories which can then be contrasted with the paradigm of Muslim scholars. Despite the differences between the fundamental principles of Islamic and Western worldviews, their ethical theories are aimed at making right decisions and solving ethical dilemmas based on what is good for society. Therefore, Islamic principles should be synthesized with Western philosophy to form a more coherent framework. The integration of Islamic and western ethical theories into business is important for sound corporate governance.

Keywords: business ethics, Islamic philosophy, western philosophy, Western and Islamic worldview of ethics

Procedia PDF Downloads 378
492 Reduced Differential Transform Methods for Solving the Fractional Diffusion Equations

Authors: Yildiray Keskin, Omer Acan, Murat Akkus

Abstract:

In this paper, the solution of fractional diffusion equations is presented by means of the reduced differential transform method. Fractional partial differential equations have special importance in engineering and sciences. Application of reduced differential transform method to this problem shows the rapid convergence of the sequence constructed by this method to the exact solution. The numerical results show that the approach is easy to implement and accurate when applied to fractional diffusion equations. The method introduces a promising tool for solving many fractional partial differential equations.

Keywords: fractional diffusion equations, Caputo fractional derivative, reduced differential transform method, partial

Procedia PDF Downloads 415
491 Hypergeometric Solutions to Linear Nonhomogeneous Fractional Equations with Spherical Bessel Functions of the First Kind

Authors: Pablo Martin, Jorge Olivares, Fernando Maass

Abstract:

The use of fractional derivatives to different problems in Engineering and Physics has been increasing in the last decade. For this reason, we have here considered partial derivatives when the integral is a spherical Bessel function of the first kind in both regular and modified ones simple initial conditions have been also considered. In this way, the solution has been found as a combination of hypergeometric functions. The case of a general rational value for α of the fractional derivative α has been solved in a general way for alpha between zero and two. The modified spherical Bessel functions of the first kind have been also considered and how to go from the regular case to the modified one will be also shown.

Keywords: caputo fractional derivatives, hypergeometric functions, linear differential equations, spherical Bessel functions

Procedia PDF Downloads 139
490 Solutions of Fractional Reaction-Diffusion Equations Used to Model the Growth and Spreading of Biological Species

Authors: Kamel Al-Khaled

Abstract:

Reaction-diffusion equations are commonly used in population biology to model the spread of biological species. In this paper, we propose a fractional reaction-diffusion equation, where the classical second derivative diffusion term is replaced by a fractional derivative of order less than two. Based on the symbolic computation system Mathematica, Adomian decomposition method, developed for fractional differential equations, is directly extended to derive explicit and numerical solutions of space fractional reaction-diffusion equations. The fractional derivative is described in the Caputo sense. Finally, the recent appearance of fractional reaction-diffusion equations as models in some fields such as cell biology, chemistry, physics, and finance, makes it necessary to apply the results reported here to some numerical examples.

Keywords: fractional partial differential equations, reaction-diffusion equations, adomian decomposition, biological species

Procedia PDF Downloads 229
489 Performance of an Improved Fluidized System for Processing Green Tea

Authors: Nickson Kipng’etich Lang’at, Thomas Thoruwa, John Abraham, John Wanyoko

Abstract:

Green tea is made from the top two leaves and buds of a shrub, Camellia sinensis, of the family Theaceae and the order Theales. The green tea leaves are picked and immediately sent to be dried or steamed to prevent fermentation. Fluid bed drying technique is a common drying method used in drying green tea because of its ease in design and construction and fluidization of fine tea particles. Major problems in this method are significant loss of chemical content of the leaf and green appearance of tea, retention of high moisture content in the leaves and bed channeling and defluidization. The energy associated with the drying technology has been shown to be a vital factor in determining the quality of green tea. As part of the implementation, prototype dryer was built that facilitated sequence of operations involving steaming, cooling, pre-drying and final drying. The major findings of the project were in terms of quality characteristics of tea leaves and energy consumption during processing. The optimal design achieved a moisture content of 4.2 ± 0.84%. With the optimum drying temperature of 100 ºC, the specific energy consumption was 1697.8 kj.Kg-1 and evaporation rate of 4.272 x 10-4 Kg.m-2.s-1. The energy consumption in a fluidized system can be further reduced by focusing on energy saving designs.

Keywords: evaporation rate, fluid bed dryer, maceration, specific energy consumption

Procedia PDF Downloads 199
488 Operational Matrix Method for Fuzzy Fractional Reaction Diffusion Equation

Authors: Sachin Kumar

Abstract:

Fuzzy fractional diffusion equation is widely useful to depict different physical processes arising in physics, biology, and hydrology. The motive of this article is to deal with the fuzzy fractional diffusion equation. We study a mathematical model of fuzzy space-time fractional diffusion equation in which unknown function, coefficients, and initial-boundary conditions are fuzzy numbers. First, we find out a fuzzy operational matrix of Legendre polynomial of Caputo type fuzzy fractional derivative having a non-singular Mittag-Leffler kernel. The main advantages of this method are that it reduces the fuzzy fractional partial differential equation (FFPDE) to a system of fuzzy algebraic equations from which we can find the solution of the problem. The feasibility of our approach is shown by some numerical examples. Hence, our method is suitable to deal with FFPDE and has good accuracy.

Keywords: fractional PDE, fuzzy valued function, diffusion equation, Legendre polynomial, spectral method

Procedia PDF Downloads 47