In this paper,based on the symbolic computing system Maple,the direct method for Lie symmetry groupspresented by Sen-Yue Lou [J.Phys.A:Math.Gen.38 (2005) L129] is extended from the continuous differential equationsto ...In this paper,based on the symbolic computing system Maple,the direct method for Lie symmetry groupspresented by Sen-Yue Lou [J.Phys.A:Math.Gen.38 (2005) L129] is extended from the continuous differential equationsto the differential-difference equations.With the extended method,we study the well-known differential-difference KPequation,KZ equation and (2+1)-dimensional ANNV system,and both the Lie point symmetry groups and the non-Liesymmetry groups are obtained.展开更多
Based on the symbolic computational system Maple, the similarity reductions of a Lax pair for the （2＋1 ）-dimensional differential Sawada Kotera （SK） equation by the classical Lie point group method, are presented...Based on the symbolic computational system Maple, the similarity reductions of a Lax pair for the （2＋1 ）-dimensional differential Sawada Kotera （SK） equation by the classical Lie point group method, are presented. We obtain several interesting reductions. Comparing the reduced Lax pair＇s compatibility with the reduced SK equation under the same symmetry group, we find that the reduced Lax pairs do not always lead to the reduced SK equation. In general, the reduced equations are the subsets of the compatibility conditions of the reduced Lax pair.展开更多
A new group signature with one time secret key is proposed. The main merits are that it only needs the trusted center issuing the partial secret key one time for each group member; and that the group member can genera...A new group signature with one time secret key is proposed. The main merits are that it only needs the trusted center issuing the partial secret key one time for each group member; and that the group member can generate his different secret key each time when he wants to sign a message. The group public key is constant and the size of the signature is independent of the number of group members. The total computation cost of signature and verification requires only 8 modular exponentiations.展开更多
Objective To perform the modulation of an assay system for the sensory integration of 2 sensory stimuli that inhibit each other.Methods The assay system for assessing the integrative response to 2 reciprocally-inhibit...Objective To perform the modulation of an assay system for the sensory integration of 2 sensory stimuli that inhibit each other.Methods The assay system for assessing the integrative response to 2 reciprocally-inhibitory sensory stimuli was modulated by changing the metal ion barrier.Moreover,the hen-1,ttx-3 and casy-1 mutants having known defects in integrative response were used to evaluate the modulated assay systems.Based on the examined assay systems,new genes possibly involved in the sensory integration control were identified.Results In the presence of different metal ion barriers and diacetyl,locomotion behaviors,basic movements,pan-neuronal,cholinergic and GABAergic neuronal GFP expressions,neuronal development,structures of sensory neurons and interneurons,and stress response of nematodes in different regions of examined assay systems were normal,and chemotaxis toward different concentrations of diacetyl and avoidance of different concentrations of metal ions were inhibited.In the first group,most of the nematodes moved to diacetyl by crossing the barrier of Fe2＋,Zn2＋,or Mn2＋.In the second group,almost half of the nematodes moved to diacetyl by crossing the barrier of Ag＋,Cu2＋,Cr2＋,or Cd2＋.In the third group,only a small number of nematodes moved to diacetyl by crossing the barrier of Pb2＋ or Hg2＋.Moreover,when nematodes encountered different metal ion barriers during migration toward diacetyl,the percentage of nematodes moving back and then turning and that of nematodes moving straight to diacetyl were very different.With the aid of examined assay systems,it was found that mutations of fsn-1 that encodes a F-box protein,and its target scd-2 that encodes a receptor tyrosine kinase,caused severe defects in integrative response,and the sensory integration defects of fsn-1 mutants were obviously inhibited by scd-2 mutation.Conclusion Based on the nematode behaviors in examined assay systems,3 groups of assay systems were obtained.The first group may be helpful in evaluating or identifying the very subtle deficits in sensory integration,and the third group may be useful for the final confirmation of sensory integration defects of mutants identified in the first or the second group of assay systems.Furthermore,the important association of sensory integration regulation with stabilization or destabilization of synaptic differentiation may exist in C.elegans.展开更多
文摘In this paper,based on the symbolic computing system Maple,the direct method for Lie symmetry groupspresented by Sen-Yue Lou [J.Phys.A:Math.Gen.38 (2005) L129] is extended from the continuous differential equationsto the differential-difference equations.With the extended method,we study the well-known differential-difference KPequation,KZ equation and (2+1)-dimensional ANNV system,and both the Lie point symmetry groups and the non-Liesymmetry groups are obtained.
文摘Based on the symbolic computational system Maple, the similarity reductions of a Lax pair for the （2＋1 ）-dimensional differential Sawada Kotera （SK） equation by the classical Lie point group method, are presented. We obtain several interesting reductions. Comparing the reduced Lax pair＇s compatibility with the reduced SK equation under the same symmetry group, we find that the reduced Lax pairs do not always lead to the reduced SK equation. In general, the reduced equations are the subsets of the compatibility conditions of the reduced Lax pair.
基金Project (No. 10271037) supported by the National Natural Sci-ence Foundation of China
文摘A new group signature with one time secret key is proposed. The main merits are that it only needs the trusted center issuing the partial secret key one time for each group member; and that the group member can generate his different secret key each time when he wants to sign a message. The group public key is constant and the size of the signature is independent of the number of group members. The total computation cost of signature and verification requires only 8 modular exponentiations.
基金supported by the National Natural Science Foundation of China (No. 30870810)National Basic Research Program of China (No. 2011CB933404)
文摘Objective To perform the modulation of an assay system for the sensory integration of 2 sensory stimuli that inhibit each other.Methods The assay system for assessing the integrative response to 2 reciprocally-inhibitory sensory stimuli was modulated by changing the metal ion barrier.Moreover,the hen-1,ttx-3 and casy-1 mutants having known defects in integrative response were used to evaluate the modulated assay systems.Based on the examined assay systems,new genes possibly involved in the sensory integration control were identified.Results In the presence of different metal ion barriers and diacetyl,locomotion behaviors,basic movements,pan-neuronal,cholinergic and GABAergic neuronal GFP expressions,neuronal development,structures of sensory neurons and interneurons,and stress response of nematodes in different regions of examined assay systems were normal,and chemotaxis toward different concentrations of diacetyl and avoidance of different concentrations of metal ions were inhibited.In the first group,most of the nematodes moved to diacetyl by crossing the barrier of Fe2＋,Zn2＋,or Mn2＋.In the second group,almost half of the nematodes moved to diacetyl by crossing the barrier of Ag＋,Cu2＋,Cr2＋,or Cd2＋.In the third group,only a small number of nematodes moved to diacetyl by crossing the barrier of Pb2＋ or Hg2＋.Moreover,when nematodes encountered different metal ion barriers during migration toward diacetyl,the percentage of nematodes moving back and then turning and that of nematodes moving straight to diacetyl were very different.With the aid of examined assay systems,it was found that mutations of fsn-1 that encodes a F-box protein,and its target scd-2 that encodes a receptor tyrosine kinase,caused severe defects in integrative response,and the sensory integration defects of fsn-1 mutants were obviously inhibited by scd-2 mutation.Conclusion Based on the nematode behaviors in examined assay systems,3 groups of assay systems were obtained.The first group may be helpful in evaluating or identifying the very subtle deficits in sensory integration,and the third group may be useful for the final confirmation of sensory integration defects of mutants identified in the first or the second group of assay systems.Furthermore,the important association of sensory integration regulation with stabilization or destabilization of synaptic differentiation may exist in C.elegans.
