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1.
Proc Natl Acad Sci U S A ; 118(1)2021 01 05.
Article in English | MEDLINE | ID: mdl-33372155

ABSTRACT

Regulatory T cells (Tregs) play a crucial role in mediating immune response. Yet an algorithmic understanding of the role of Tregs in adaptive immunity remains lacking. Here, we present a biophysically realistic model of Treg-mediated self-tolerance in which Tregs bind to self-antigens and locally inhibit the proliferation of nearby activated T cells. By exploiting a duality between ecological dynamics and constrained optimization, we show that Tregs tile the potential antigen space while simultaneously minimizing the overlap between Treg activation profiles. We find that for sufficiently high Treg diversity, Treg-mediated self-tolerance is robust to fluctuations in self-antigen concentrations but lowering the Treg diversity results in a sharp transition-related to the Gardner transition in perceptrons-to a regime where changes in self-antigen concentrations can result in an autoimmune response. We propose an experimental test of this transition in immune-deficient mice and discuss potential implications for autoimmune diseases.


Subject(s)
Autoimmune Diseases/immunology , Autoimmunity/immunology , T-Lymphocytes, Regulatory/metabolism , Adaptive Immunity , Algorithms , Autoantigens , Autoimmune Diseases/physiopathology , Immune Tolerance/immunology , Lymphocyte Activation/immunology , Models, Theoretical , Self Tolerance/immunology , T-Lymphocytes, Regulatory/physiology
2.
J Phys A Math Theor ; 53(33)2020 Aug 21.
Article in English | MEDLINE | ID: mdl-33403001

ABSTRACT

Machine learning methods have had spectacular success on numerous problems. Here we show that a prominent class of learning algorithms - including Support Vector Machines (SVMs) - have a natural interpretation in terms of ecological dynamics. We use these ideas to design new online SVM algorithms that exploit ecological invasions, and benchmark performance using the MNIST dataset. Our work provides a new ecological lens through which we can view statistical learning and opens the possibility of designing ecosystems for machine learning.

3.
Phys Rev Lett ; 122(1): 010602, 2019 Jan 11.
Article in English | MEDLINE | ID: mdl-31012730

ABSTRACT

We reveal a continuous dynamical heating transition between a prethermal and an infinite-temperature stage in a clean, chaotic periodically driven classical spin chain. The transition time is a steep exponential function of the drive frequency, showing that the exponentially long-lived prethermal plateau, originally observed in quantum Floquet systems, survives the classical limit. Even though there is no straightforward generalization of Floquet's theorem to nonlinear systems, we present strong evidence that the prethermal physics is well described by the inverse-frequency expansion. We relate the stability and robustness of the prethermal plateau to drive-induced synchronization not captured by the expansion. Our results set the pathway to transfer the ideas of Floquet engineering to classical many-body systems, and are directly relevant for photonic crystals and cold atom experiments in the superfluid regime.

4.
Ann Neurol ; 69(3): 481-92, 2011 Mar.
Article in English | MEDLINE | ID: mdl-21446022

ABSTRACT

OBJECTIVE: Cerebral atrophy is a correlate of clinical progression in multiple sclerosis (MS). Mitochondria are now established to play a part in the pathogenesis of MS. Uniquely, mitochondria harbor their own mitochondrial DNA (mtDNA), essential for maintaining a healthy central nervous system. We explored mitochondrial respiratory chain activity and mtDNA deletions in single neurons from secondary progressive MS (SPMS) cases. METHODS: Ninety-eight snap-frozen brain blocks from 13 SPMS cases together with complex IV/complex II histochemistry, immunohistochemistry, laser dissection microscopy, long-range and real-time PCR and sequencing were used to identify and analyze respiratory-deficient neurons devoid of complex IV and with complex II activity. RESULTS: The density of respiratory-deficient neurons in SPMS was strikingly in excess of aged controls. The majority of respiratory-deficient neurons were located in layer VI and immediate subcortical white matter (WM) irrespective of lesions. Multiple deletions of mtDNA were apparent throughout the gray matter (GM) in MS. The respiratory-deficient neurons harbored high levels of clonally expanded mtDNA deletions at a single-cell level. Furthermore, there were neurons lacking mtDNA-encoded catalytic subunits of complex IV. mtDNA deletions sufficiently explained the biochemical defect in the majority of respiratory-deficient neurons. INTERPRETATION: These findings provide evidence that neurons in MS are respiratory-deficient due to mtDNA deletions, which are extensive in GM and may be induced by inflammation. We propose induced multiple deletions of mtDNA as an important contributor to neurodegeneration in MS.


Subject(s)
Brain/pathology , DNA, Mitochondrial/genetics , Multiple Sclerosis/genetics , Multiple Sclerosis/pathology , Nerve Degeneration/genetics , Nerve Degeneration/pathology , Sequence Deletion , Adult , Aged , Aged, 80 and over , Brain/metabolism , DNA, Mitochondrial/metabolism , Electron Transport/genetics , Electron Transport Complex IV/genetics , Electron Transport Complex IV/metabolism , Humans , Immunohistochemistry , In Situ Nick-End Labeling , Middle Aged , Mitochondria/genetics , Mitochondria/metabolism , Multiple Sclerosis/metabolism , Nerve Degeneration/metabolism , Neurons/metabolism , Neurons/pathology , Reverse Transcriptase Polymerase Chain Reaction
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