Multiple-timescale dynamics, mixed mode oscillations and mixed affective states in a model of bipolar disorder

American, Psychiatric, Association. (2013) Diagnostic and statistical manual of mental disorders, 5th edition, DSM-5. Washington (D.C.): American Psychiatric Publishing

Anticevic A, Murray JD (2017) Computational psychiatry: mathematical modeling of mental illness. Academic Press, London

Google Scholar 

Awal NM, Epstein IR (2021) Period-doubling route to mixed-mode chaos. Phys Rev E 104(2):024211

CAS  PubMed  Google Scholar 

Barack DL, Krakauer JW (2021) Two views on the cognitive brain. Nat Rev Neurosci 22(6):359–371

CAS  PubMed  Google Scholar 

Barnett JH, Smoller JW (2009) The genetics of bipolar disorder. Neuroscience 164(1):331–343

CAS  PubMed  Google Scholar 

Berglund N, Gentz B, Kuehn C (2012) Hunting french ducks in a noisy environment. J Differ Equ 252(9):4786–4841

Google Scholar 

Bertram R, Tabak J, Teka W, Vo T, Wechselberger M, Kirk V, Sneyd J (2015) Mathematical analysis of complex cellular activity. Springer, Cham

Google Scholar 

Bonsall MB, Geddes JR, Goodwin GM, Holmes EA (2015) Bipolar disorder dynamics: affective instabilities, relaxation oscillations and noise. J R Soc Interface 12(112):20150670

PubMed  PubMed Central  Google Scholar 

Bonsall MB, Wallace-Hadrill SM, Geddes JR, Goodwin GM, Holmes EA (2012) Nonlinear time-series approaches in characterizing mood stability and mood instability in bipolar disorder. Proc R Soc B Biol Sci 279(1730):916–924

CAS  Google Scholar 

Borowski P, Kuske R, Li Y-X, Cabrera JL (2010) Characterizing mixed mode oscillations shaped by noise and bifurcation structure. Chaos Interdiscip J Nonlinear Sci 20(4):043117

Google Scholar 

Breakspear M, Roberts J, Terry JR, Rodrigues S, Mahant N, Robinson P (2006) A unifying explanation of primary generalized seizures through nonlinear brain modeling and bifurcation analysis. Cereb Cortex 16(9):1296–1313

CAS  PubMed  Google Scholar 

Bystritsky A, Nierenberg A, Feusner J, Rabinovich M (2012) Computational non-linear dynamical psychiatry: a new methodological paradigm for diagnosis and course of illness. J Psychiatr Res 46(4):428–435

CAS  PubMed  Google Scholar 

Chang S-S, Chou T (2018) A dynamical bifurcation model of bipolar disorder based on learned expectation and asymmetry in mood sensitivity. Comput Psychiatry 2:205–222

Google Scholar 

Daugherty D, Roque-Urrea T, Urrea-Roque J, Troyer J, Wirkus S, Porter MA (2009) Mathematical models of bipolar disorder. Commun Nonlinear Sci Numer Simul 14(7):2897–2908

Google Scholar 

Dauvermann MR, Whalley HC, Schmidt A, Lee GL, Romaniuk L, Roberts N, Moorhead TW (2014) Computational neuropsychiatry-schizophrenia as a cognitive brain network disorder. Front Psych 5:30

Google Scholar 

Deco G, Kringelbach ML (2014) Great expectations: using wholebrain computational connectomics for understanding neuropsychiatric disorders. Neuron 84(5):892–905

CAS  PubMed  Google Scholar 

Desroches M, Guckenheimer J, Krauskopf B, Kuehn C, Osinga HM, Wechselberger M (2012) Mixed-mode oscillations with multiple time scales. SIAM Rev 54(2):211–288

Google Scholar 

Destexhe A, Contreras D, Sejnowski TJ, Steriade M (1994) A model of spindle rhythmicity in the isolated thalamic reticular nucleus. J Neurophysiol 72(2):803–818

CAS  PubMed  Google Scholar 

Drover J, Rubin J, Su J, Ermentrout B (2004) Analysis of a canard mechanism by which excitatory synaptic coupling can synchronize neurons at low firing frequencies. SIAM J Appl Math 65(1):69–92

Google Scholar 

Durstewitz D, Huys QJ, Koppe G (2020) Psychiatric illnesses as disorders of network dynamics. Biol Psychiatry Cogn Neurosci Neuroimaging 6(9):865–76

PubMed  Google Scholar 

Eldar E, Niv Y (2015) Interaction between emotional state and learning underlies mood instability. Nat Commun 6(1):1–10

Google Scholar 

Ermentrout B (2002) Simulating, analyzing and animating dynamical sys- tems: a guide to XPPAUT for researchers and students. SIAM, Philadelphia

Google Scholar 

Ersöz EK, Desroches M, Guillamon A, Rinzel J, Tabak J (2020) Canard-induced complex oscillations in an excitatory network. J Math Biol 80(7):2075–2107

Google Scholar 

Fagiolini A, Coluccia A, Maina G, Forgione RN, Goracci A, Cuomo A, Young AH (2015) Diagnosis, epidemiology and management of mixed states in bipolar disorder. CNS Drugs 29(9):725–740

PubMed  Google Scholar 

Fan J (2015) On markov and hidden markov models with applica- tions to trajectories (Unpublished doctoral dissertation). University of Pittsburgh

Geller B, Luby J (1997) Child and adolescent bipolar disorder: a review of the past 10 years. J Am Acad Child Adolesc Psychiatry 36(9):1168–1176

CAS  PubMed  Google Scholar 

Goldbeter A (2011) A model for the dynamics of bipolar disorders. Prog Biophys Mol Biol 105(1–2):119–127

PubMed  Google Scholar 

Goldbeter A (2013) Origin of cyclicity in bipolar disorders: a computational approach. Pharmacopsychiatry 46(S 01):S44–S52

PubMed  Google Scholar 

Goldbeter A (2018) Dissipative structures in biological systems: bistability, oscillations, spatial patterns and waves. Philos Trans R Soc A Math Phys Eng Sci 376(2124):20170376

Google Scholar 

Gollo LL, Zalesky A, Hutchison RM, Van Den Heuvel M, Breakspear M (2015) Dwelling quietly in the rich club: brain network determinants of slow cortical uctuations. Philos Trans R Soc B Biol Sci 370(1668):20140165

Google Scholar 

Gonzalez-Pinto A, Barbeito S, Alonso M, Alberich S, Haidar MK, Vieta E, Lopez P (2010) Poor long-term prognosis in mixed bipolar patients: 10-year outcomes in the vitoria prospective naturalistic study in spain. J Clin Psychiatry 71(5):14711

Google Scholar 

Gottschalk A, Bauer MS, Whybrow PC (1995) Evidence of chaotic mood variation in bipolar disorder. Arch Gen Psychiatry 52(11):947–959

CAS  PubMed  Google Scholar 

Grandin LD, Alloy LB, Abramson LY (2006) The social zeitgeber theory, circadian rhythms, and mood disorders: review and evaluation. Clin Psychol Rev 26(6):679–694

PubMed  Google Scholar 

Hindmarsh JL, Rose R (1984) A model of neuronal bursting using three coupled first order differential equations. Proc R Soc Lond B 221(1222):87–102

CAS  PubMed  Google Scholar 

Hobson JA, McCarley RW, Wyzinski PW (1975) Sleep cycle oscillation: reciprocal discharge by two brainstem neuronal groups. Science 189(4196):55–58

CAS  PubMed  Google Scholar 

Iglesias C, Meunier C, Manuel M, Timofeeva Y, Delestrée N, Zytnicki D (2011) Mixed mode oscillations in mouse spinal motoneurons arise from a low excitability state. J Neurosci 31(15):5829–5840

CAS  PubMed  PubMed Central  Google Scholar 

Izhikevich EM (2000) Neural excitability, spiking and bursting. Int J Bifurc Chaos 10(06):1171–1266

Google Scholar 

Jimenez-Marin A, Diez I, Cortes JM, Desroches M, Rodrigues S et al (2019) Metastable resting state brain dynamics. Front Comput Neurosci 13:62

PubMed  PubMed Central  Google Scholar 

Kato T (2017) Neurobiological basis of bipolar disorder: mitochondrial dysfunction hypothesis and beyond. Schizophr Res 187:62–66

PubMed  Google Scholar 

La Camera G, Fontanini A, Mazzucato L (2019) Cortical computations via metastable activity. Curr Opin Neurobiol 58:37–45

PubMed  PubMed Central  Google Scholar 

Larter R, Steinmetz CG (1991) Chaos via mixed-mode oscillations. Philos Trans R Soc Lond Ser A Phys Eng Sci 337(1646):291–298

CAS  Google Scholar 

Lu J, Sherman D, Devor M, Saper CB (2006) A putative ip-op switch for control of rem sleep. Nature 441(7093):589–594

CAS  PubMed  Google Scholar 

Magioncalda P, Martino M (2021) A unified model of the pathophysiology of bipolar disorder. Mol Psychiatry 27:1–10

Google Scholar 

McIntyre RS, Soczynska JK, Cha DS, Woldeyohannes HO, Dale RS, Alsuwaidan MT et al (2015) The prevalence and illness characteristics of dsm-5-defined “mixed feature specifier’’ in adults with major depressive disorder and bipolar disorder: results from the international mood disorders collaborative project. J Affect Disord 172:259–264

PubMed  Google Scholar 

Muneer A (2017) Mixed states in bipolar disorder: etiology, pathogenesis and treatment. Chonnam Med J 53(1):1–13

CAS  PubMed  PubMed Central  Google Scholar 

Murray JD, Bernacchia A, Freedman DJ, Romo R, Wallis JD, Cai X et al (2014) A hierarchy of intrinsic timescales across primate cortex. Nat Neurosci 17(12):1661–1663

CAS  PubMed  PubMed Central  Google Scholar 

Nelson B, McGorry PD, Wichers M, Wigman JT, Hartmann JA (2017) Moving from static to dynamic models of the onset of mental disorder: a review. JAMA Psychiat 74(5):528–534

Google Scholar 

Perry A, Roberts G, Mitchell PB, Breakspear M (2019) Connectomics of bipolar disorder: a critical review, and evidence for dynamic instabilities within interoceptive networks. Mol Psychiatry 24(9):1296–1318

PubMed  Google Scholar 

Pessoa L (2019) Neural dynamics of emotion and cognition: from trajectories to underlying neural geometry. Neural Netw 120:158–166

PubMed  PubMed Central  Google Scholar 

Petrov V, Scott SK, Showalter K (1992) Mixed-mode oscillations in chemical systems. J Chem Phys 97(9):6191–6198

CAS  Google Scholar 

Petzschner FH (2017) Stochastic dynamic models for computational psychiatry and computational neurology. Biol Psychiatry Cogn Neurosci Neuroimaging 2(3):214–215

PubMed  Google Scholar 

Rajkowska G, Halaris A, Selemon LD (2001) Reductions in neuronal and glial density characterize the dorsolateral prefrontal cortex in bipolar disorder. Biol Psychiat 49(9):741–752

CAS  PubMed  Google Scholar 

Ramirez-Mahaluf JP, Compte A (2018) Computational psychiatry. Serotonergic modulation of cognition in prefrontal cortical circuits in major depression. Elsevier, London, pp 27–46

Google Scholar 

Ramirez-Mahaluf JP, Roxin A, Mayberg HS, Compte A (2017) A computational model of major depression: the role of glutamate dysfunction on cingulo-frontal network dynamics. Cereb Cortex 27(1):660–679

PubMed  Google Scholar 

Rinzel J (1987) A formal classification of bursting mechanisms in excitable systems. In: Teramoto E, Yumaguti M (eds) Mathematical topics in population biology, morphogenesis and neurosciences. Springer, Heidelberg, pp 267–281

Google Scholar 

Roberts JA, Friston KJ, Breakspear M (2017) Clinical applications of stochastic dynamic models of the brain, part i: a primer. Biol Psychiatry Cogn Neurosci Neuroimaging 2(3):216–224

PubMed  Google Scholar 

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