Search results for "Kinase cascade"

showing 3 items of 3 documents

Dynamical Features of the MAP Kinase Cascade

2017

The MAP kinase cascade is an important signal transduction system in molecular biology for which a lot of mathematical modelling has been done. This paper surveys what has been proved mathematically about the qualitative properties of solutions of the ordinary differential equations arising as models for this biological system. It focuses, in particular, on the issues of multistability and the existence of sustained oscillations. It also gives a concise introduction to the mathematical techniques used in this context, bifurcation theory and geometric singular perturbation theory, as they relate to these specific examples. In addition further directions are presented in which the application…

0301 basic medicineHopf bifurcationSingular perturbationComputer scienceContext (language use)MAP kinase cascade01 natural sciences010305 fluids & plasmas03 medical and health sciencessymbols.namesake030104 developmental biologyBifurcation theoryOrdinary differential equation0103 physical sciencessymbolsSustained oscillationsStatistical physicsMultistability
researchProduct

Role of the HIPPO pathway as potential key player in the cross talk between oncology and cardiology.

2021

The HIPPO pathway (HP) is a highly conserved kinase cascade that affects organ size by regulating proliferation, cell survival and differentiation. Discovered in Drosophila melanogaster to early 2000, it immediately opened wide frontiers in the field of research. Over the last years the field of knowledge on HP is quickly expanding and it is thought will offer many answers on complex pathologies. Here, we summarized the results of several studies that have investigated HP signaling both in oncology than in cardiology field, with an overview on future perspectives in cardiology research.

0301 basic medicineOncologymedicine.medical_specialtyCardiologyProtein Serine-Threonine KinasesCardiac regeneration03 medical and health sciences0302 clinical medicineInternal medicinemedicineAnimalsHumansHippo Signaling PathwayCardio oncologyCell survivalCell ProliferationHippo signaling pathwaybiologybusiness.industryHematologybiology.organism_classificationKinase cascade030104 developmental biologyDrosophila melanogasterOncologyCardiology fieldAnimals Cardiac development Cardiac regeneration Cardio-oncology Cardiology Cell Proliferation Drosophila melanogaster HIPPO signaling pathway Humans Protein Serine-Threonine Kinases030220 oncology & carcinogenesisCardiologyDrosophila melanogasterbusinessSignal TransductionCritical reviews in oncology/hematology
researchProduct

Sustained oscillations in the MAP kinase cascade.

2016

Abstract The MAP kinase cascade is a network of enzymatic reactions arranged in layers. In each layer occurs a multiple futile cycle of phosphorylations. The fully phosphorylated substrate then serves as an enzyme for the layer below. This paper focuses on the existence of parameters for which Hopf bifurcations occur and generate periodic orbits. Furthermore it is explained how geometric singular perturbation theory allows to generalize results from simple models to more complex ones.

0301 basic medicineStatistics and ProbabilitySingular perturbationDynamical systems theoryMolecular Networks (q-bio.MN)Dynamical Systems (math.DS)MAP kinase cascadeGeneral Biochemistry Genetics and Molecular BiologyQuantitative Biology::Subcellular Processes03 medical and health sciencessymbols.namesakeSimple (abstract algebra)Classical Analysis and ODEs (math.CA)FOS: MathematicsQuantitative Biology - Molecular NetworksSustained oscillationsMathematics - Dynamical SystemsHopf bifurcationPhysics030102 biochemistry & molecular biologyGeneral Immunology and MicrobiologyFutile cycleApplied MathematicsQuantitative Biology::Molecular NetworksGeneral Medicine030104 developmental biologyClassical mechanicsMathematics - Classical Analysis and ODEsModeling and SimulationFOS: Biological sciencessymbolsPeriodic orbitsGeneral Agricultural and Biological SciencesMathematical biosciences
researchProduct