Sensitisation waves in a bidomain fire-diffuse-fire model of intracellular Ca��⁺ dynamics

We present a bidomain threshold model of intracellular calcium (Ca��⁺) dynamics in which, as suggested by recent experiments, the cytosolic threshold for Ca��⁺ liberation is modulated by the Ca��⁺ concentration in the releasing compartment. We explicitly construct stationary fronts and determine their stability using an Evans function approach. Our results show that a biologically motivated choice of a dynamic threshold, as opposed to a constant threshold, can pin stationary fronts that would otherwise be unstable. This illustrates a novel mechanism to stabilise pinned interfaces in continuous excitable systems. Our framework also allows us to compute travelling pulse solutions in closed form and systematically probe the wave speed as a function of physiologically important parameters. We find that the existence of travelling wave solutions depends on the time scale of the threshold dynamics, and that facilitating release by lowering the cytosolic threshold increases the wave speed. The construction of the Evans function for a travelling pulse shows that of the co-existing fast and slow solutions the slow one is always unstable.

Nel giorno XIX luglio MDCCCXLVI faustissimo e felicissimo, pel solenne ingresso di monsignore Bartolommeo de' conti Romilli alla sede vescovile di Cremona : omaggio di esultanza e d'amore.

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S. Aurelii Augustini Confessiones.

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Libri decem explanationis Ecclesiastæ, graece primum & cum latina interpretatione ac commentariis vulgati /

"Appendix ... De aetate b. Gregorii ... dissertatio Joannis Lancea Panormitani": p. [296]-320.

Th. C. Cypriani De Oratione Dominica = St. Cyprian on the Lord's prayer /

Mode of access: Internet.

De civitate Dei : selections with notes and glossary /

A textbook for colleges, universities and seminaries.

Quae ratio inter Vitas Lysiae Dionysiacam, pseudo-Plutarcheam, Photianam intercedat, quaesivit A.Z.

Disbound Original Held in Oak Street Library Facility.

Omelie mistagogiche e catechetice /

Text of the homilies in Latin; commentary in Italian. Appendix contains Italian translation of the homilies.

A Démétrien /

Includes bibliographical references (p. [59]-65) and indexes.

Lettres ascétiques et morales /

Includes bibliographical references and index.

Augustins Briefwechsel mit Hieronymous /

Originally presented as the author's Habilitationsschrift--Regensburg, 1998.

Sancti Fulgentii episcopi Ruspensis Opera.

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La préparation évangélique.

[1] Introduction génŕale. Livre I.--[2] Livres II-III.--[3] Livres IV-V, 1-17.--[4] Livres V, 18-26-VI.--[5] Livre VII.--[6] Livres VIII-IX-X.--[7] Livre XI.--[8] Livres XII-XIII.--[9] Livres XIV-XV.

La jalousie et l'envie /

Includes bibliographical references (p. [141]-146) and indexes.

Drevnie inocheskie ustavy /

Includes bibliographical references.