In this paper,we study the self-similar solutions of the degenerate diffusion equation ut-div(|▽u^(m)|^(p-2)▽u^(m))=0 of polytropic filtration diffusion in R^(N)×(0,±∞)or(R^(N)/{0})×(0,±∞)with ...In this paper,we study the self-similar solutions of the degenerate diffusion equation ut-div(|▽u^(m)|^(p-2)▽u^(m))=0 of polytropic filtration diffusion in R^(N)×(0,±∞)or(R^(N)/{0})×(0,±∞)with N≥1,m>0,p>1,such that m(p-1)>1.We give a clear classification of the self-similar solutions of the form u(x,t)=(βt)^(-α/β)((βt)^(-1/β)|x|)withα∈R andβ=α[m(p-1)-1]+p,regular or singular at the origin point.The existence and uniqueness of some solutions are established by the phase plane analysis method,and the asymptotic properties of the solutions near the origin and the infinity are also described.This paper extends the classical results of self-similar solutions for degeneratep-Laplace heat equation by Bidaut-Véron[Proc Royal Soc Edinburgh,2009,139:1-43]to the doubly nonlinear degenerate diffusion equations.展开更多
Toll and Toll-like receptors(TLRs)are pivotal components of the innate immune system,playing a crucial role in the early defense against invading pathogens.These receptors basically recognize microbial components and ...Toll and Toll-like receptors(TLRs)are pivotal components of the innate immune system,playing a crucial role in the early defense against invading pathogens.These receptors basically recognize microbial components and thus spread the presence of pathogens to the host and activate signaling pathways that lead to an appropriate immune response.Their discoveries and studies in the late 80s/early90s have initiated the understanding of how organisms detect and respond to microbial infections(Hoffmann et al.,1999;Medzhitov and Janeway,2000;Akira et al.,2006;Nusslein-Volhard,2021).展开更多
The host antimicrobial immune response relies on a complex interplay of molecular mechanisms to effectively combat microbial infections.Herein,we investigate the functional role of Cullin-3(Cul3),one critical constitu...The host antimicrobial immune response relies on a complex interplay of molecular mechanisms to effectively combat microbial infections.Herein,we investigate the functional role of Cullin-3(Cul3),one critical constituent of Cullin-RING ubiquitin ligases,in the Drosophila melanogaster(fruit fly)antimicrobial immune defense.Weshow that silencing of Cul3 leads to a decreased induction of antimicrobial peptides and high mortality in adult flies after bacterial infection.Through biochemical approaches,we demonstrate that Cul3 predominantly relies on its BTB-binding domain and neddylation domain to physically associate with death-associated inhibitor of apoptosis 2(Diap2).Importantly,Cul3 ameliorates the Diap2-mediated ubiquitination of death-related ced-3/Nedd2-like caspase(Dredd),a process essential for robust immune deficiency signaling upon bacterial infection.Taken together,our findings highlight a previously unrecognized regulatory axis of Cul3/Diap2/Dredd in the fly antimicrobial immune defense,providing potential insights into therapeutic strategies for combating bacterial infections in humans.展开更多
基金supported by the NSFC(12271178,12171166)the Guangzhou Basic and Applied Basic Research Foundation(2024A04J2022)the TCL Young Scholar(2024-2027).
文摘In this paper,we study the self-similar solutions of the degenerate diffusion equation ut-div(|▽u^(m)|^(p-2)▽u^(m))=0 of polytropic filtration diffusion in R^(N)×(0,±∞)or(R^(N)/{0})×(0,±∞)with N≥1,m>0,p>1,such that m(p-1)>1.We give a clear classification of the self-similar solutions of the form u(x,t)=(βt)^(-α/β)((βt)^(-1/β)|x|)withα∈R andβ=α[m(p-1)-1]+p,regular or singular at the origin point.The existence and uniqueness of some solutions are established by the phase plane analysis method,and the asymptotic properties of the solutions near the origin and the infinity are also described.This paper extends the classical results of self-similar solutions for degeneratep-Laplace heat equation by Bidaut-Véron[Proc Royal Soc Edinburgh,2009,139:1-43]to the doubly nonlinear degenerate diffusion equations.
基金support has been provided by the University of Strasbourg Institute for Advanced Study(to J.A.H.)the International Science and Technology Innovation Cooperation between Governments for National Key R&D Program Projects(2023YFE0107700)。
文摘Toll and Toll-like receptors(TLRs)are pivotal components of the innate immune system,playing a crucial role in the early defense against invading pathogens.These receptors basically recognize microbial components and thus spread the presence of pathogens to the host and activate signaling pathways that lead to an appropriate immune response.Their discoveries and studies in the late 80s/early90s have initiated the understanding of how organisms detect and respond to microbial infections(Hoffmann et al.,1999;Medzhitov and Janeway,2000;Akira et al.,2006;Nusslein-Volhard,2021).
基金supported by grants from the National Natural Science Foundation of China(32100702).
文摘The host antimicrobial immune response relies on a complex interplay of molecular mechanisms to effectively combat microbial infections.Herein,we investigate the functional role of Cullin-3(Cul3),one critical constituent of Cullin-RING ubiquitin ligases,in the Drosophila melanogaster(fruit fly)antimicrobial immune defense.Weshow that silencing of Cul3 leads to a decreased induction of antimicrobial peptides and high mortality in adult flies after bacterial infection.Through biochemical approaches,we demonstrate that Cul3 predominantly relies on its BTB-binding domain and neddylation domain to physically associate with death-associated inhibitor of apoptosis 2(Diap2).Importantly,Cul3 ameliorates the Diap2-mediated ubiquitination of death-related ced-3/Nedd2-like caspase(Dredd),a process essential for robust immune deficiency signaling upon bacterial infection.Taken together,our findings highlight a previously unrecognized regulatory axis of Cul3/Diap2/Dredd in the fly antimicrobial immune defense,providing potential insights into therapeutic strategies for combating bacterial infections in humans.
