AIM:To establish the frequency of hyperphosphate-mia following the administration of sodium phosphate laxatives in low-risk patients. METHODS:One hundred consecutive ASAⅠ-Ⅱindividuals aged 35-74 years,who were under...AIM:To establish the frequency of hyperphosphate-mia following the administration of sodium phosphate laxatives in low-risk patients. METHODS:One hundred consecutive ASAⅠ-Ⅱindividuals aged 35-74 years,who were undergoing colonic cleansing with oral sodium phosphate(OSP) before colonoscopy were recruited for this prospective study.Exclusion criteria:congestive heart failure, chronic kidney disease,diabetes,liver cirrhosis,intestinal obstruction,decreased bowel motility,increased bowel permeability,and hyperparathyroidism.The day before colonoscopy,all the participants entered a 24-h period of diet that consisted of 4 L of clear fluids with sugar or honey and 90 mL(60 g)of OSP in two 45-mL doses,5 h apart.Serum phosphate was measured before and after the administration of the laxative. RESULTS:The main demographic data(mean±SD) were:age,58.9±8.4 years;height,163.8±8.6 cm; weight,71±13 kg;body mass index,26±4;women, 66%.Serum phosphate increased from 3.74±0.56 to 5.58±1.1 mg/dL,which surpassed the normal value (2.5-4.5 mg/dL)in 87%of the patients.The highest serum phosphate was 9.6 mg/dL.Urea and creatinine remained within normal limits.Post-treatment OSP se-rum phosphate concentration correlated inversely with glomerular filtration rate(P<0.007,R 2=0.0755),total body water(P<0.001,R 2=0.156)and weight(P< 0.013,R 2=0.0635). CONCLUSION:In low-risk,well-hydrated patients, the standard dose of OSP-laxative-induced hyperphos-phatemia is related to body weight.展开更多
AIM:To study the efficacy and safety of pharmacolo-gical treatment of constipation in geriatrics.METHODS:Pub Med,MEDLINE,google scholar,and Ovid were searched to identify human studies performed on the use of laxative...AIM:To study the efficacy and safety of pharmacolo-gical treatment of constipation in geriatrics.METHODS:Pub Med,MEDLINE,google scholar,and Ovid were searched to identify human studies performed on the use of laxatives in elderly with constipation,which were conducted between January1990 and January 2013 using the specified keywords.Controlled studies that enrolled geriatric patients with a diagnosis of constipation and addressed the efficacy and/or the safety of pharmacological treatments were included.Studies were excluded from this review if they were non-controlled trials,case series,or case reports.RESULTS:Out of twenty three studies we initially retrieved in our search,only nine studies met the eligibility criteria of being controlled trials within geriatrics.The laxatives examined in the nine studies were senna,lactulose,sorbital,polyethylene glycol(PEG),lubiprostone,linaclotide,and prucalopride.In those studies,senna combinations had a higher efficacy than sorbitol or lactulose as well as,a very good adverse effect profile.PEG was also shown to be safe and effective in geriatric population.Furthermore,it has been shown that PEG is as safe in geriatrics as in general population.New agents like lubiprostone and prucalopride show promising results but the data about these agents in geriatrics are still limited which warrant further investigation.CONCLUSION:Senna combinations and PEG appear to have a more favorable profile over the other traditionally used laxatives in elderly patients with constipation.展开更多
Background: To reduce patients’ unnecessary suffering, Opioids Induced Constipation (OIC) should be identified and treated as early as possible with the most current treatment. Aims: to investigate the effectiveness ...Background: To reduce patients’ unnecessary suffering, Opioids Induced Constipation (OIC) should be identified and treated as early as possible with the most current treatment. Aims: to investigate the effectiveness of prophylactic laxatives in reducing the severity of OIC and its impact on cancer patients’ quality of life. Methods: A Randomized Clinical Trial design was used. 57 cancer patients from one oncology clinic at a governmental hospital participated in the study. Patients in the intervention groups were given an oral colonic stimulant laxative (i.e. Bisacodyl, Dose = 3 tab/day) or an oral colonic osmotic laxative (i.e. Lactulose, Dose = 15 ml three times per day), while patients in the control continue receiving their routine care as usual. Results: A significant decrease in the severity of constipation symptoms among the intervention group at four weeks post-intervention was noted (p Conclusions: It can be concluded that the use prophylactic of first line laxatives concurrently with opioids decreased the severity of OIC and improved the QOL for cancer patients.展开更多
AIM： To elucidate the preferences of gastroenterologists at our institution and compare them to those of obstetricians when making decisions in the pregnant patient, including which type of bowel preparations to use ...AIM： To elucidate the preferences of gastroenterologists at our institution and compare them to those of obstetricians when making decisions in the pregnant patient, including which type of bowel preparations to use for flexible sigmoidoscopy or colonoscopy, as well as which laxatives can be used safely.METHODS： Surveys were mailed to all attending gastroenterologists （n = 53） and obstetricians （n = 99） at our institution. Each survey consisted of the 14 most common laxative or motility agents used in pregnancy and inquired about the physician＇s prescribing habits in the past as well as their willingness to prescribe each medication in the future. The survey also listed four common bowel preparations used prior to colonoscopy and sigmoidoscopy and asked the physician to rank the order of the preferred agent in each case.RESULTS： With regard to common laxatives, both gastroenterologists and obstetricians favor the use of Metamucil, Colace, and Citrucel. Both groups appear to refrain from using Fleets Phosphosoda and Castor oil. Of note, obstetricians are less inclined to use PEG solution and Miralax, which is not the case ,with gastroenterologists. In terms of comparing bowel preparations for colonoscopy, 50% of gastroenterologists prefer to use PEG solution and 50% avoid the use of Fleets Phosphosoda. Obstetricians seem to prefer Fleets Phosphosoda （20%） and tend to avoid the use of PEG solution （26%）. With regard to bowel preparation for sigmoidoscopy, both groups prefer Fleets enema the most （51%）, while magnesium citrate is used least often （38%）.CONCLUSION： It is clear that preferences in the use of bowel cleansing preparations between the two groups exist, but there have not been many case controlled human studies in the pregnant patient that give clear cut indications for using one versus another drug. In light of the challenge of performing controlled trials in pregnant women, more extensive surveys should be undertaken to gather a larger amount of data on physicians＇ experiences and individual preferences.展开更多
Aim: To analyse whether there are changes in sodium and potassium serum levels during chronic treatment with the diphenyl methanes bisacodyl and sodium picosulfate. Methods: A literature search was done using PubMed, ...Aim: To analyse whether there are changes in sodium and potassium serum levels during chronic treatment with the diphenyl methanes bisacodyl and sodium picosulfate. Methods: A literature search was done using PubMed, and the reference lists of pertinent papers were screened for additional studies. Only studies of at least 4 weeks duration were considered for further analysis. Results: Four relevant studies were identified. In three randomised controlled trials with 5 to 10 mg daily of bisacodyl or sodium picosulfate, respectively, over four weeks no electrolyte losses were found. Hypokalemia was also not a problem in a group of patients with paraplegia using bisacodyl suppositories for 2 to 34 years. Conclusions: Electrolyte losses, particularly hypokalemia, are not a problem when bisacodyl or sodium picosulfate are used long-term.展开更多
You know the feeling.You're sitting on the porcelain throne,sending desperate telepathic messages to your lower intestine to get moving.You push,strain and hope that youYe not giving yourself hemorrhoids or worse,...You know the feeling.You're sitting on the porcelain throne,sending desperate telepathic messages to your lower intestine to get moving.You push,strain and hope that youYe not giving yourself hemorrhoids or worse,a hernia.Still,nothing.展开更多
This paper proposes an innovative form of group reduction or similarity transformation involving off-diagonal block matrices. The proposed method is applied to the Ablowitz-Kaup-Newell-Segur(AKNS) matrix spectral prob...This paper proposes an innovative form of group reduction or similarity transformation involving off-diagonal block matrices. The proposed method is applied to the Ablowitz-Kaup-Newell-Segur(AKNS) matrix spectral problem, leading to the generation of reduced matrix AKNS integrable hierarchies. As a result, a variety of reduced multiple-component integrable nonlinear Schr??dinger and modified Korteweg-de Vries models are derived from the analysis of the reduced AKNS matrix spectral problem.展开更多
This paper presents a geometric perspective that connects reciprocal transformations with multidimensional integrable deformations.By interpreting conservation laws as closed 1-forms,we formalize reciprocal transforma...This paper presents a geometric perspective that connects reciprocal transformations with multidimensional integrable deformations.By interpreting conservation laws as closed 1-forms,we formalize reciprocal transformations as induced local diffeomorphisms on the jet bundle.This allows us to characterize higher-dimensional deformations as systematic fiber bundle extensions,where fiber coordinates are generated by potential functions of the conservation laws.This perspective provides an interpretation for the covariant lifting of Lax pairs to higher dimensions and reveals that auto-Backlund transformations are composite diffeomorphisms.These results are applied to several classical integrable models.展开更多
We presents a generalized(2+1)-dimensional Sharma-Tasso-Olver-Burgers(STOB)equation,unifying dissipative and dispersive wave dynamics.By introducing an auxiliary potential𝑦as a new space variable and employing...We presents a generalized(2+1)-dimensional Sharma-Tasso-Olver-Burgers(STOB)equation,unifying dissipative and dispersive wave dynamics.By introducing an auxiliary potential𝑦as a new space variable and employing a simpler deformation algorithm,we deform the(1+1)-dimensional STOB model to higher dimensions.The resulting equation is proven Lax-integrable via introducing strong and weak Lax pairs.Traveling wave solutions of the(2+1)-dimensional STOB equation are derived through an ordinary differential equation reduction,with implicit solutions obtained for a special case.Crucially,we demonstrate that the system admits dispersionless decompositions into two types:Case 1 yields non-traveling twisted kink and bell solitons,while Case 2 involves complex implicit functions governed by cubic-algebraic constraints.Numerical visualizations reveal novel anisotropic soliton structures,and the decomposition methodology is shown to generalize broadly to other higher dimensional dispersionless decomposition solvable integrable systems.展开更多
The widespread popularization and application of laser technology have provided a powerful tool for a deeper understanding of the material world and given birth to several emerging research fields.This study mainly fo...The widespread popularization and application of laser technology have provided a powerful tool for a deeper understanding of the material world and given birth to several emerging research fields.This study mainly focuses on the following three key aspects.First,the classical ensemble method is adopted to conduct a comprehensive and in-depth analysis of two-dimensional(2D)matter–wave pulses in Bose–Fermi mixed gases(including linear and nonlinear pulses).Second,under the strict constraints of unitary systems,a coupled Kd V equation is successfully derived,and the prolongation structure theory is skillfully used to carry out detailed calculations and analyses on this equation.Thus,the prolongation algebra of this equation is accurately determined,and the corresponding Lax pair is rigorously derived.Finally,based on the carefully obtained Lax pair from the prolongation structure theory,the soliton solutions of this equation are further analyzed in depth,and intuitive images of each soliton solution are carefully drawn.This lays a solid foundation for subsequent detailed research on these soliton characteristics and provides great convenience.展开更多
Moringa oleifera have laxative effects,but their active compositions and mechanisms are not very clear thus far.To this end,we systematically explored the active components and mechanism of M.oleifera leaves in reliev...Moringa oleifera have laxative effects,but their active compositions and mechanisms are not very clear thus far.To this end,we systematically explored the active components and mechanism of M.oleifera leaves in relieving constipation by using the slow transit constipation(STC)mouse model and network pharmacology.The results of animal experiments showed that M.oleifera aqueous extract(MOA)had good laxative activity,and its 70%alcohol soluble part(ASP)also showed significant laxative activity(P<0.01).Network pharmacological prediction results suggested that L-phenylalanine(Phe)was the key compound of ASP,and it might relieve constipation through tachykinin receptor 1(TACR1)and three kinds of adrenergic receptors,includingα_(1A)(ADRA1A),α_(2A)(ADRA2A),andα_(2B)(ADRA2B).Further animal experiment results showed that Phe significantly promoted gastrointestinal motility.Phe may relieve STC by enhancing the release of substance P(SP)and upregulating the m RNA expression of TACR1 in the ileum.Importantly,Phe may also promote intestinal movement by downregulating the m RNA expression of ADRA2A and ADRA2B and upregulating the m RNA expression of Calm and the m RNA and protein expression of myosin light chain 9 in the ileum,thereby activating the G protein-coupled receptor-myosin light chain signaling pathway.These results lay a foundation for the application of M.oleifera and Phe in constipation.展开更多
The aim of this paper is to study an extended modified Korteweg-de Vries-Calogero-Bogoyavlenskii-Schiff(mKdV-CBS)equation and present its Lax pair with a spectral parameter.Meanwhile,a Miura transformation is explored...The aim of this paper is to study an extended modified Korteweg-de Vries-Calogero-Bogoyavlenskii-Schiff(mKdV-CBS)equation and present its Lax pair with a spectral parameter.Meanwhile,a Miura transformation is explored,which reveals the relationship between solutions of the extended mKdV-CBS equation and the extended(2+1)-dimensional Korteweg-de Vries(KdV)equation.On the basis of the obtained Lax pair and the existing research results,the Darboux transformation is derived,which plays a crucial role in presenting soliton solutions.In addition,soliton molecules are given by the velocity resonance mechanism.展开更多
本文首先阐述了具有4 ×4 Lax对的NLS方程的来历、表示形式,并将其表示为矩阵的分块形式,通过对Lax对、特征函数以及对称性的分析,得出全局关系,并表示出s(k)和S(k)的形式,进而构造黎曼–希尔伯特问题,并通过Mn之间的关系,计算出其...本文首先阐述了具有4 ×4 Lax对的NLS方程的来历、表示形式,并将其表示为矩阵的分块形式,通过对Lax对、特征函数以及对称性的分析,得出全局关系,并表示出s(k)和S(k)的形式,进而构造黎曼–希尔伯特问题,并通过Mn之间的关系,计算出其跳跃矩阵。In this paper, the origin and representation of the square matrix NLS equation with a 4 × 4 Lax pair are first expounded, and it is expressed as the block form of the matrix. Through the analysis of lax pair, eigenfunction and symmetry, we establish the global relation and derive the explicit forms of s(k)and S(k). And then the Riemann-Hilbert problem is constructed, and its jump matrix is calculated through the relationship between Mn.展开更多
文摘AIM:To establish the frequency of hyperphosphate-mia following the administration of sodium phosphate laxatives in low-risk patients. METHODS:One hundred consecutive ASAⅠ-Ⅱindividuals aged 35-74 years,who were undergoing colonic cleansing with oral sodium phosphate(OSP) before colonoscopy were recruited for this prospective study.Exclusion criteria:congestive heart failure, chronic kidney disease,diabetes,liver cirrhosis,intestinal obstruction,decreased bowel motility,increased bowel permeability,and hyperparathyroidism.The day before colonoscopy,all the participants entered a 24-h period of diet that consisted of 4 L of clear fluids with sugar or honey and 90 mL(60 g)of OSP in two 45-mL doses,5 h apart.Serum phosphate was measured before and after the administration of the laxative. RESULTS:The main demographic data(mean±SD) were:age,58.9±8.4 years;height,163.8±8.6 cm; weight,71±13 kg;body mass index,26±4;women, 66%.Serum phosphate increased from 3.74±0.56 to 5.58±1.1 mg/dL,which surpassed the normal value (2.5-4.5 mg/dL)in 87%of the patients.The highest serum phosphate was 9.6 mg/dL.Urea and creatinine remained within normal limits.Post-treatment OSP se-rum phosphate concentration correlated inversely with glomerular filtration rate(P<0.007,R 2=0.0755),total body water(P<0.001,R 2=0.156)and weight(P< 0.013,R 2=0.0635). CONCLUSION:In low-risk,well-hydrated patients, the standard dose of OSP-laxative-induced hyperphos-phatemia is related to body weight.
文摘AIM:To study the efficacy and safety of pharmacolo-gical treatment of constipation in geriatrics.METHODS:Pub Med,MEDLINE,google scholar,and Ovid were searched to identify human studies performed on the use of laxatives in elderly with constipation,which were conducted between January1990 and January 2013 using the specified keywords.Controlled studies that enrolled geriatric patients with a diagnosis of constipation and addressed the efficacy and/or the safety of pharmacological treatments were included.Studies were excluded from this review if they were non-controlled trials,case series,or case reports.RESULTS:Out of twenty three studies we initially retrieved in our search,only nine studies met the eligibility criteria of being controlled trials within geriatrics.The laxatives examined in the nine studies were senna,lactulose,sorbital,polyethylene glycol(PEG),lubiprostone,linaclotide,and prucalopride.In those studies,senna combinations had a higher efficacy than sorbitol or lactulose as well as,a very good adverse effect profile.PEG was also shown to be safe and effective in geriatric population.Furthermore,it has been shown that PEG is as safe in geriatrics as in general population.New agents like lubiprostone and prucalopride show promising results but the data about these agents in geriatrics are still limited which warrant further investigation.CONCLUSION:Senna combinations and PEG appear to have a more favorable profile over the other traditionally used laxatives in elderly patients with constipation.
文摘Background: To reduce patients’ unnecessary suffering, Opioids Induced Constipation (OIC) should be identified and treated as early as possible with the most current treatment. Aims: to investigate the effectiveness of prophylactic laxatives in reducing the severity of OIC and its impact on cancer patients’ quality of life. Methods: A Randomized Clinical Trial design was used. 57 cancer patients from one oncology clinic at a governmental hospital participated in the study. Patients in the intervention groups were given an oral colonic stimulant laxative (i.e. Bisacodyl, Dose = 3 tab/day) or an oral colonic osmotic laxative (i.e. Lactulose, Dose = 15 ml three times per day), while patients in the control continue receiving their routine care as usual. Results: A significant decrease in the severity of constipation symptoms among the intervention group at four weeks post-intervention was noted (p Conclusions: It can be concluded that the use prophylactic of first line laxatives concurrently with opioids decreased the severity of OIC and improved the QOL for cancer patients.
文摘AIM： To elucidate the preferences of gastroenterologists at our institution and compare them to those of obstetricians when making decisions in the pregnant patient, including which type of bowel preparations to use for flexible sigmoidoscopy or colonoscopy, as well as which laxatives can be used safely.METHODS： Surveys were mailed to all attending gastroenterologists （n = 53） and obstetricians （n = 99） at our institution. Each survey consisted of the 14 most common laxative or motility agents used in pregnancy and inquired about the physician＇s prescribing habits in the past as well as their willingness to prescribe each medication in the future. The survey also listed four common bowel preparations used prior to colonoscopy and sigmoidoscopy and asked the physician to rank the order of the preferred agent in each case.RESULTS： With regard to common laxatives, both gastroenterologists and obstetricians favor the use of Metamucil, Colace, and Citrucel. Both groups appear to refrain from using Fleets Phosphosoda and Castor oil. Of note, obstetricians are less inclined to use PEG solution and Miralax, which is not the case ,with gastroenterologists. In terms of comparing bowel preparations for colonoscopy, 50% of gastroenterologists prefer to use PEG solution and 50% avoid the use of Fleets Phosphosoda. Obstetricians seem to prefer Fleets Phosphosoda （20%） and tend to avoid the use of PEG solution （26%）. With regard to bowel preparation for sigmoidoscopy, both groups prefer Fleets enema the most （51%）, while magnesium citrate is used least often （38%）.CONCLUSION： It is clear that preferences in the use of bowel cleansing preparations between the two groups exist, but there have not been many case controlled human studies in the pregnant patient that give clear cut indications for using one versus another drug. In light of the challenge of performing controlled trials in pregnant women, more extensive surveys should be undertaken to gather a larger amount of data on physicians＇ experiences and individual preferences.
文摘Aim: To analyse whether there are changes in sodium and potassium serum levels during chronic treatment with the diphenyl methanes bisacodyl and sodium picosulfate. Methods: A literature search was done using PubMed, and the reference lists of pertinent papers were screened for additional studies. Only studies of at least 4 weeks duration were considered for further analysis. Results: Four relevant studies were identified. In three randomised controlled trials with 5 to 10 mg daily of bisacodyl or sodium picosulfate, respectively, over four weeks no electrolyte losses were found. Hypokalemia was also not a problem in a group of patients with paraplegia using bisacodyl suppositories for 2 to 34 years. Conclusions: Electrolyte losses, particularly hypokalemia, are not a problem when bisacodyl or sodium picosulfate are used long-term.
文摘You know the feeling.You're sitting on the porcelain throne,sending desperate telepathic messages to your lower intestine to get moving.You push,strain and hope that youYe not giving yourself hemorrhoids or worse,a hernia.Still,nothing.
基金supported in part by the Ministry of Science and Technology of China (G2021016032L and G2023016011L)the National Natural Science Foundation of China (12271488 and 11975145)。
文摘This paper proposes an innovative form of group reduction or similarity transformation involving off-diagonal block matrices. The proposed method is applied to the Ablowitz-Kaup-Newell-Segur(AKNS) matrix spectral problem, leading to the generation of reduced matrix AKNS integrable hierarchies. As a result, a variety of reduced multiple-component integrable nonlinear Schr??dinger and modified Korteweg-de Vries models are derived from the analysis of the reduced AKNS matrix spectral problem.
基金sponsored by the National Natural Science Foundation of China(Nos.12235007,11975131)。
文摘This paper presents a geometric perspective that connects reciprocal transformations with multidimensional integrable deformations.By interpreting conservation laws as closed 1-forms,we formalize reciprocal transformations as induced local diffeomorphisms on the jet bundle.This allows us to characterize higher-dimensional deformations as systematic fiber bundle extensions,where fiber coordinates are generated by potential functions of the conservation laws.This perspective provides an interpretation for the covariant lifting of Lax pairs to higher dimensions and reveals that auto-Backlund transformations are composite diffeomorphisms.These results are applied to several classical integrable models.
基金supported by the National Natural Science Foundations of China(Grant Nos.12235007,12375003,and 11975131).
文摘We presents a generalized(2+1)-dimensional Sharma-Tasso-Olver-Burgers(STOB)equation,unifying dissipative and dispersive wave dynamics.By introducing an auxiliary potential𝑦as a new space variable and employing a simpler deformation algorithm,we deform the(1+1)-dimensional STOB model to higher dimensions.The resulting equation is proven Lax-integrable via introducing strong and weak Lax pairs.Traveling wave solutions of the(2+1)-dimensional STOB equation are derived through an ordinary differential equation reduction,with implicit solutions obtained for a special case.Crucially,we demonstrate that the system admits dispersionless decompositions into two types:Case 1 yields non-traveling twisted kink and bell solitons,while Case 2 involves complex implicit functions governed by cubic-algebraic constraints.Numerical visualizations reveal novel anisotropic soliton structures,and the decomposition methodology is shown to generalize broadly to other higher dimensional dispersionless decomposition solvable integrable systems.
基金Project supported by the National Natural Science Foundation of China(Grant No.12261072)。
文摘The widespread popularization and application of laser technology have provided a powerful tool for a deeper understanding of the material world and given birth to several emerging research fields.This study mainly focuses on the following three key aspects.First,the classical ensemble method is adopted to conduct a comprehensive and in-depth analysis of two-dimensional(2D)matter–wave pulses in Bose–Fermi mixed gases(including linear and nonlinear pulses).Second,under the strict constraints of unitary systems,a coupled Kd V equation is successfully derived,and the prolongation structure theory is skillfully used to carry out detailed calculations and analyses on this equation.Thus,the prolongation algebra of this equation is accurately determined,and the corresponding Lax pair is rigorously derived.Finally,based on the carefully obtained Lax pair from the prolongation structure theory,the soliton solutions of this equation are further analyzed in depth,and intuitive images of each soliton solution are carefully drawn.This lays a solid foundation for subsequent detailed research on these soliton characteristics and provides great convenience.
文摘Moringa oleifera have laxative effects,but their active compositions and mechanisms are not very clear thus far.To this end,we systematically explored the active components and mechanism of M.oleifera leaves in relieving constipation by using the slow transit constipation(STC)mouse model and network pharmacology.The results of animal experiments showed that M.oleifera aqueous extract(MOA)had good laxative activity,and its 70%alcohol soluble part(ASP)also showed significant laxative activity(P<0.01).Network pharmacological prediction results suggested that L-phenylalanine(Phe)was the key compound of ASP,and it might relieve constipation through tachykinin receptor 1(TACR1)and three kinds of adrenergic receptors,includingα_(1A)(ADRA1A),α_(2A)(ADRA2A),andα_(2B)(ADRA2B).Further animal experiment results showed that Phe significantly promoted gastrointestinal motility.Phe may relieve STC by enhancing the release of substance P(SP)and upregulating the m RNA expression of TACR1 in the ileum.Importantly,Phe may also promote intestinal movement by downregulating the m RNA expression of ADRA2A and ADRA2B and upregulating the m RNA expression of Calm and the m RNA and protein expression of myosin light chain 9 in the ileum,thereby activating the G protein-coupled receptor-myosin light chain signaling pathway.These results lay a foundation for the application of M.oleifera and Phe in constipation.
基金supported by the National Natural Science Foundation of China(Grant No.12271488)。
文摘The aim of this paper is to study an extended modified Korteweg-de Vries-Calogero-Bogoyavlenskii-Schiff(mKdV-CBS)equation and present its Lax pair with a spectral parameter.Meanwhile,a Miura transformation is explored,which reveals the relationship between solutions of the extended mKdV-CBS equation and the extended(2+1)-dimensional Korteweg-de Vries(KdV)equation.On the basis of the obtained Lax pair and the existing research results,the Darboux transformation is derived,which plays a crucial role in presenting soliton solutions.In addition,soliton molecules are given by the velocity resonance mechanism.
文摘本文首先阐述了具有4 ×4 Lax对的NLS方程的来历、表示形式,并将其表示为矩阵的分块形式,通过对Lax对、特征函数以及对称性的分析,得出全局关系,并表示出s(k)和S(k)的形式,进而构造黎曼–希尔伯特问题,并通过Mn之间的关系,计算出其跳跃矩阵。In this paper, the origin and representation of the square matrix NLS equation with a 4 × 4 Lax pair are first expounded, and it is expressed as the block form of the matrix. Through the analysis of lax pair, eigenfunction and symmetry, we establish the global relation and derive the explicit forms of s(k)and S(k). And then the Riemann-Hilbert problem is constructed, and its jump matrix is calculated through the relationship between Mn.
