Active poroelastic two-phase model for the motion of physarum microplasmodia

dc.contributor.authorKulawiak, Dirk Alexander
dc.contributor.authorLöber, Jakob
dc.contributor.authorBär, Markus
dc.contributor.authorEngel, Harald
dc.date.accessioned2019-11-28T12:46:35Z
dc.date.available2019-11-28T12:46:35Z
dc.date.issued2019-08-09
dc.description.abstractThe onset of self-organized motion is studied in a poroelastic two-phase model with free boundaries for Physarum microplasmodia (MP). In the model, an active gel phase is assumed to be interpenetrated by a passive fluid phase on small length scales. A feedback loop between calcium kinetics, mechanical deformations, and induced fluid flow gives rise to pattern formation and the establishment of an axis of polarity. Altogether, we find that the calcium kinetics that breaks the conservation of the total calcium concentration in the model and a nonlinear friction between MP and substrate are both necessary ingredients to obtain an oscillatory movement with net motion of the MP. By numerical simulations in one spatial dimension, we find two different types of oscillations with net motion as well as modes with time-periodic or irregular switching of the axis of polarity. The more frequent type of net motion is characterized by mechano-chemical waves traveling from the front towards the rear. The second type is characterized by mechano-chemical waves that appear alternating from the front and the back. While both types exhibit oscillatory forward and backward movement with net motion in each cycle, the trajectory and gel flow pattern of the second type are also similar to recent experimental measurements of peristaltic MP motion. We found moving MPs in extended regions of experimentally accessible parameters, such as length, period and substrate friction strength. Simulations of the model show that the net speed increases with the length, provided that MPs are longer than a critical length of ≈ 120 μm. Both predictions are in line with recent experimental observations.en
dc.description.sponsorshipDFG, 163436311, SFB 910: Kontrolle selbstorganisierender nichtlinearer Systeme: Theoretische Methoden und Anwendungskonzepteen
dc.description.sponsorshipDFG, 87159868, GRK 1558: Kollektive Dynamik im Nichtgleichgewicht: in kondensierter Materie und biologischen Systemenen
dc.description.sponsorshipDFG, 414044773, Open Access Publizieren 2019 - 2020 / Technische Universität Berlinen
dc.identifier.eissn1932-6203
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/10405
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-9357
dc.language.isoenen
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en
dc.subject.ddc500 Naturwissenschaften und Mathematikde
dc.subject.otherphysarum microplasmodiaen
dc.subject.othermotionen
dc.subject.othertraveling wavesen
dc.titleActive poroelastic two-phase model for the motion of physarum microplasmodiaen
dc.typeArticleen
dc.type.versionpublishedVersionen
dcterms.bibliographicCitation.articlenumbere0217447en
dcterms.bibliographicCitation.doi10.1371/journal.pone.0217447en
dcterms.bibliographicCitation.issue8en
dcterms.bibliographicCitation.journaltitlePLOS ONEen
dcterms.bibliographicCitation.originalpublishernamePLOSen
dcterms.bibliographicCitation.originalpublisherplaceSan Francisco, California, USen
dcterms.bibliographicCitation.volume14en
tub.accessrights.dnbfreeen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften::Inst. Theoretische Physik::FG Nichtlineare Dynamik & Strukturbildungde
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.groupFG Nichtlineare Dynamik & Strukturbildungde
tub.affiliation.instituteInst. Theoretische Physikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen

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